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Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001/*
2 * Elliptic curves over GF(p): curve-specific data and functions
3 *
Bence Szépkúti1e148272020-08-07 13:07:28 +02004 * Copyright The Mbed TLS Contributors
Manuel Pégourié-Gonnard37ff1402015-09-04 14:21:07 +02005 * SPDX-License-Identifier: Apache-2.0
6 *
7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
8 * not use this file except in compliance with the License.
9 * You may obtain a copy of the License at
10 *
11 * http://www.apache.org/licenses/LICENSE-2.0
12 *
13 * Unless required by applicable law or agreed to in writing, software
14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
16 * See the License for the specific language governing permissions and
17 * limitations under the License.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010018 */
19
Gilles Peskinedb09ef62020-06-03 01:43:33 +020020#include "common.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010021
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020022#if defined(MBEDTLS_ECP_C)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010023
Manuel Pégourié-Gonnard7f809972015-03-09 17:05:11 +000024#include "mbedtls/ecp.h"
Hanno Becker4f8e8e52018-12-14 15:08:03 +000025#include "mbedtls/platform_util.h"
Janos Follath24eed8d2019-11-22 13:21:35 +000026#include "mbedtls/error.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010027
Gilles Peskine618be2e2021-04-03 21:47:53 +020028#include "ecp_invasive.h"
29
Rich Evans00ab4702015-02-06 13:43:58 +000030#include <string.h>
31
Janos Follathb0697532016-08-18 12:38:46 +010032#if !defined(MBEDTLS_ECP_ALT)
33
Hanno Becker4f8e8e52018-12-14 15:08:03 +000034/* Parameter validation macros based on platform_util.h */
35#define ECP_VALIDATE_RET( cond ) \
36 MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
37#define ECP_VALIDATE( cond ) \
38 MBEDTLS_INTERNAL_VALIDATE( cond )
39
Manuel Pégourié-Gonnard0223ab92015-10-05 11:40:01 +010040#if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
41 !defined(inline) && !defined(__cplusplus)
Paul Bakker498fd352013-12-02 22:17:24 +010042#define inline __inline
Manuel Pégourié-Gonnard20af64d2015-07-07 18:33:39 +020043#endif
Paul Bakker498fd352013-12-02 22:17:24 +010044
Manuel Pégourié-Gonnardbaee5d42013-12-06 13:38:41 +010045/*
46 * Conversion macros for embedded constants:
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020047 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
Manuel Pégourié-Gonnardbaee5d42013-12-06 13:38:41 +010048 */
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +020049#if defined(MBEDTLS_HAVE_INT32)
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010050
Hanno Becker1eeca412018-10-15 12:01:35 +010051#define BYTES_TO_T_UINT_4( a, b, c, d ) \
52 ( (mbedtls_mpi_uint) (a) << 0 ) | \
53 ( (mbedtls_mpi_uint) (b) << 8 ) | \
54 ( (mbedtls_mpi_uint) (c) << 16 ) | \
55 ( (mbedtls_mpi_uint) (d) << 24 )
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010056
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +010057#define BYTES_TO_T_UINT_2( a, b ) \
58 BYTES_TO_T_UINT_4( a, b, 0, 0 )
59
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010060#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
Manuel Pégourié-Gonnard69ab3542013-12-12 15:50:08 +010061 BYTES_TO_T_UINT_4( a, b, c, d ), \
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010062 BYTES_TO_T_UINT_4( e, f, g, h )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010063
64#else /* 64-bits */
65
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010066#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
Hanno Becker1eeca412018-10-15 12:01:35 +010067 ( (mbedtls_mpi_uint) (a) << 0 ) | \
68 ( (mbedtls_mpi_uint) (b) << 8 ) | \
69 ( (mbedtls_mpi_uint) (c) << 16 ) | \
70 ( (mbedtls_mpi_uint) (d) << 24 ) | \
71 ( (mbedtls_mpi_uint) (e) << 32 ) | \
72 ( (mbedtls_mpi_uint) (f) << 40 ) | \
73 ( (mbedtls_mpi_uint) (g) << 48 ) | \
74 ( (mbedtls_mpi_uint) (h) << 56 )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010075
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +010076#define BYTES_TO_T_UINT_4( a, b, c, d ) \
77 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
78
79#define BYTES_TO_T_UINT_2( a, b ) \
80 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
81
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020082#endif /* bits in mbedtls_mpi_uint */
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010083
kXuanba9cb762021-04-08 14:32:06 +080084#define ECP_MPI_INIT(s, n, p) {s, (n), (mbedtls_mpi_uint *)(p)}
85
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +020086#define ECP_MPI_INIT_ARRAY(x) \
87 ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x)
88
kXuanba9cb762021-04-08 14:32:06 +080089#define ECP_POINT_INIT_XY_Z0(x, y) { \
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +020090 ECP_MPI_INIT_ARRAY(x), ECP_MPI_INIT_ARRAY(y), ECP_MPI_INIT(1, 0, NULL) }
kXuanba9cb762021-04-08 14:32:06 +080091#define ECP_POINT_INIT_XY_Z1(x, y) { \
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +020092 ECP_MPI_INIT_ARRAY(x), ECP_MPI_INIT_ARRAY(y), ECP_MPI_INIT(1, 1, mpi_one) }
kXuanba9cb762021-04-08 14:32:06 +080093
94#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
95 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
96 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
97 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
98 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
99 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
100 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
101 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
102 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
103 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
104 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
105/* For these curves, we build the group parameters dynamically. */
106#define ECP_LOAD_GROUP
107static mbedtls_mpi_uint mpi_one[] = {1};
108#endif
109
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100110/*
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100111 * Note: the constants are in little-endian order
112 * to be directly usable in MPIs
113 */
114
115/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100116 * Domain parameters for secp192r1
117 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200118#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
119static const mbedtls_mpi_uint secp192r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100120 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
121 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
122 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100123};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200124static const mbedtls_mpi_uint secp192r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100125 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
126 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
127 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100128};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200129static const mbedtls_mpi_uint secp192r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100130 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
131 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
132 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100133};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200134static const mbedtls_mpi_uint secp192r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100135 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
136 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
137 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100138};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200139static const mbedtls_mpi_uint secp192r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100140 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
141 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
142 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100143};
kXuanba9cb762021-04-08 14:32:06 +0800144#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
145static const mbedtls_mpi_uint secp192r1_T_0_X[] = {
146 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
147 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
148 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
149};
150static const mbedtls_mpi_uint secp192r1_T_0_Y[] = {
151 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
152 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
153 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
154};
155static const mbedtls_mpi_uint secp192r1_T_1_X[] = {
156 BYTES_TO_T_UINT_8( 0x97, 0x9E, 0xE3, 0x60, 0x59, 0xD1, 0xC4, 0xC2 ),
157 BYTES_TO_T_UINT_8( 0x91, 0xBD, 0x22, 0xD7, 0x2D, 0x07, 0xBD, 0xB6 ),
158 BYTES_TO_T_UINT_8( 0x74, 0x2A, 0xCF, 0x33, 0xF0, 0xBE, 0xD1, 0xED ),
159};
160static const mbedtls_mpi_uint secp192r1_T_1_Y[] = {
161 BYTES_TO_T_UINT_8( 0x88, 0x71, 0x4B, 0xA8, 0xED, 0x7E, 0xC9, 0x1A ),
162 BYTES_TO_T_UINT_8( 0x8E, 0x2A, 0xF6, 0xDF, 0x0E, 0xE8, 0x4C, 0x0F ),
163 BYTES_TO_T_UINT_8( 0xC5, 0x35, 0xF7, 0x8A, 0xC3, 0xEC, 0xDE, 0x1E ),
164};
165static const mbedtls_mpi_uint secp192r1_T_2_X[] = {
166 BYTES_TO_T_UINT_8( 0x00, 0x67, 0xC2, 0x1D, 0x32, 0x8F, 0x10, 0xFB ),
167 BYTES_TO_T_UINT_8( 0xBB, 0x2D, 0x17, 0xF3, 0xE4, 0xFE, 0xD8, 0x13 ),
168 BYTES_TO_T_UINT_8( 0x55, 0x45, 0x10, 0x70, 0x2C, 0x3E, 0x52, 0x3E ),
169};
170static const mbedtls_mpi_uint secp192r1_T_2_Y[] = {
171 BYTES_TO_T_UINT_8( 0x61, 0xF1, 0x04, 0x5D, 0xEE, 0xD4, 0x56, 0xE6 ),
172 BYTES_TO_T_UINT_8( 0x78, 0xB7, 0x38, 0x27, 0x61, 0xAA, 0x81, 0x87 ),
173 BYTES_TO_T_UINT_8( 0x71, 0x37, 0xD7, 0x0E, 0x29, 0x0E, 0x11, 0x14 ),
174};
175static const mbedtls_mpi_uint secp192r1_T_3_X[] = {
176 BYTES_TO_T_UINT_8( 0x1E, 0x35, 0x52, 0xC6, 0x31, 0xB7, 0x27, 0xF5 ),
177 BYTES_TO_T_UINT_8( 0x3D, 0xD4, 0x15, 0x98, 0x0F, 0xE7, 0xF3, 0x6A ),
178 BYTES_TO_T_UINT_8( 0xD3, 0x31, 0x70, 0x35, 0x09, 0xA0, 0x2B, 0xC2 ),
179};
180static const mbedtls_mpi_uint secp192r1_T_3_Y[] = {
181 BYTES_TO_T_UINT_8( 0x21, 0x75, 0xA7, 0x4C, 0x88, 0xCF, 0x5B, 0xE4 ),
182 BYTES_TO_T_UINT_8( 0x17, 0x17, 0x48, 0x8D, 0xF2, 0xF0, 0x86, 0xED ),
183 BYTES_TO_T_UINT_8( 0x49, 0xCF, 0xFE, 0x6B, 0xB0, 0xA5, 0x06, 0xAB ),
184};
185static const mbedtls_mpi_uint secp192r1_T_4_X[] = {
186 BYTES_TO_T_UINT_8( 0x18, 0x6A, 0xDC, 0x9A, 0x6D, 0x7B, 0x47, 0x2E ),
187 BYTES_TO_T_UINT_8( 0x12, 0xFC, 0x51, 0x12, 0x62, 0x66, 0x0B, 0x59 ),
188 BYTES_TO_T_UINT_8( 0xCD, 0x40, 0x93, 0xA0, 0xB5, 0x5A, 0x58, 0xD7 ),
189};
190static const mbedtls_mpi_uint secp192r1_T_4_Y[] = {
191 BYTES_TO_T_UINT_8( 0xEF, 0xCB, 0xAF, 0xDC, 0x0B, 0xA1, 0x26, 0xFB ),
192 BYTES_TO_T_UINT_8( 0xDA, 0x36, 0x9D, 0xA3, 0xD7, 0x3B, 0xAD, 0x39 ),
193 BYTES_TO_T_UINT_8( 0xB4, 0x3B, 0x05, 0x9A, 0xA8, 0xAA, 0x69, 0xB2 ),
194};
195static const mbedtls_mpi_uint secp192r1_T_5_X[] = {
196 BYTES_TO_T_UINT_8( 0x6D, 0xD9, 0xD1, 0x4D, 0x4A, 0x6E, 0x96, 0x1E ),
197 BYTES_TO_T_UINT_8( 0x17, 0x66, 0x32, 0x39, 0xC6, 0x57, 0x7D, 0xE6 ),
198 BYTES_TO_T_UINT_8( 0x92, 0xA0, 0x36, 0xC2, 0x45, 0xF9, 0x00, 0x62 ),
199};
200static const mbedtls_mpi_uint secp192r1_T_5_Y[] = {
201 BYTES_TO_T_UINT_8( 0xB4, 0xEF, 0x59, 0x46, 0xDC, 0x60, 0xD9, 0x8F ),
202 BYTES_TO_T_UINT_8( 0x24, 0xB0, 0xE9, 0x41, 0xA4, 0x87, 0x76, 0x89 ),
203 BYTES_TO_T_UINT_8( 0x13, 0xD4, 0x0E, 0xB2, 0xFA, 0x16, 0x56, 0xDC ),
204};
205static const mbedtls_mpi_uint secp192r1_T_6_X[] = {
206 BYTES_TO_T_UINT_8( 0x0A, 0x62, 0xD2, 0xB1, 0x34, 0xB2, 0xF1, 0x06 ),
207 BYTES_TO_T_UINT_8( 0xB2, 0xED, 0x55, 0xC5, 0x47, 0xB5, 0x07, 0x15 ),
208 BYTES_TO_T_UINT_8( 0x17, 0xF6, 0x2F, 0x94, 0xC3, 0xDD, 0x54, 0x2F ),
209};
210static const mbedtls_mpi_uint secp192r1_T_6_Y[] = {
211 BYTES_TO_T_UINT_8( 0xFD, 0xA6, 0xD4, 0x8C, 0xA9, 0xCE, 0x4D, 0x2E ),
212 BYTES_TO_T_UINT_8( 0xB9, 0x4B, 0x46, 0xCC, 0xB2, 0x55, 0xC8, 0xB2 ),
213 BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x31, 0xED, 0x89, 0x65, 0x59, 0x55 ),
214};
215static const mbedtls_mpi_uint secp192r1_T_7_X[] = {
216 BYTES_TO_T_UINT_8( 0xCC, 0x0A, 0xD1, 0x1A, 0xC5, 0xF6, 0xEA, 0x43 ),
217 BYTES_TO_T_UINT_8( 0x0C, 0xFC, 0x0C, 0x1A, 0xFB, 0xA0, 0xC8, 0x70 ),
218 BYTES_TO_T_UINT_8( 0xEA, 0xFD, 0x53, 0x6F, 0x6D, 0xBF, 0xBA, 0xAF ),
219};
220static const mbedtls_mpi_uint secp192r1_T_7_Y[] = {
221 BYTES_TO_T_UINT_8( 0x2D, 0xB0, 0x7D, 0x83, 0x96, 0xE3, 0xCB, 0x9D ),
222 BYTES_TO_T_UINT_8( 0x6F, 0x6E, 0x55, 0x2C, 0x20, 0x53, 0x2F, 0x46 ),
223 BYTES_TO_T_UINT_8( 0xA6, 0x66, 0x00, 0x17, 0x08, 0xFE, 0xAC, 0x31 ),
224};
225static const mbedtls_mpi_uint secp192r1_T_8_X[] = {
226 BYTES_TO_T_UINT_8( 0x09, 0x12, 0x97, 0x3A, 0xC7, 0x57, 0x45, 0xCD ),
227 BYTES_TO_T_UINT_8( 0x38, 0x25, 0x99, 0x00, 0xF6, 0x97, 0xB4, 0x64 ),
228 BYTES_TO_T_UINT_8( 0x9B, 0x74, 0xE6, 0xE6, 0xA3, 0xDF, 0x9C, 0xCC ),
229};
230static const mbedtls_mpi_uint secp192r1_T_8_Y[] = {
231 BYTES_TO_T_UINT_8( 0x32, 0xF4, 0x76, 0xD5, 0x5F, 0x2A, 0xFD, 0x85 ),
232 BYTES_TO_T_UINT_8( 0x62, 0x80, 0x7E, 0x3E, 0xE5, 0xE8, 0xD6, 0x63 ),
233 BYTES_TO_T_UINT_8( 0xE2, 0xAD, 0x1E, 0x70, 0x79, 0x3E, 0x3D, 0x83 ),
234};
235static const mbedtls_mpi_uint secp192r1_T_9_X[] = {
236 BYTES_TO_T_UINT_8( 0x8E, 0x15, 0xBB, 0xB3, 0x42, 0x6A, 0xA1, 0x7C ),
237 BYTES_TO_T_UINT_8( 0x9B, 0x58, 0xCB, 0x43, 0x25, 0x00, 0x14, 0x68 ),
238 BYTES_TO_T_UINT_8( 0x06, 0x4E, 0x93, 0x11, 0xE0, 0x32, 0x54, 0x98 ),
239};
240static const mbedtls_mpi_uint secp192r1_T_9_Y[] = {
241 BYTES_TO_T_UINT_8( 0xA7, 0x52, 0xA2, 0xB4, 0x57, 0x32, 0xB9, 0x11 ),
242 BYTES_TO_T_UINT_8( 0x7D, 0x43, 0xA1, 0xB1, 0xFB, 0x01, 0xE1, 0xE7 ),
243 BYTES_TO_T_UINT_8( 0xA6, 0xFB, 0x5A, 0x11, 0xB8, 0xC2, 0x03, 0xE5 ),
244};
245static const mbedtls_mpi_uint secp192r1_T_10_X[] = {
246 BYTES_TO_T_UINT_8( 0x1C, 0x2B, 0x71, 0x26, 0x4E, 0x7C, 0xC5, 0x32 ),
247 BYTES_TO_T_UINT_8( 0x1F, 0xF5, 0xD3, 0xA8, 0xE4, 0x95, 0x48, 0x65 ),
248 BYTES_TO_T_UINT_8( 0x55, 0xAE, 0xD9, 0x5D, 0x9F, 0x6A, 0x22, 0xAD ),
249};
250static const mbedtls_mpi_uint secp192r1_T_10_Y[] = {
251 BYTES_TO_T_UINT_8( 0xD9, 0xCC, 0xA3, 0x4D, 0xA0, 0x1C, 0x34, 0xEF ),
252 BYTES_TO_T_UINT_8( 0xA3, 0x3C, 0x62, 0xF8, 0x5E, 0xA6, 0x58, 0x7D ),
253 BYTES_TO_T_UINT_8( 0x6D, 0x6E, 0x66, 0x8A, 0x3D, 0x17, 0xFF, 0x0F ),
254};
255static const mbedtls_mpi_uint secp192r1_T_11_X[] = {
256 BYTES_TO_T_UINT_8( 0xF7, 0xCD, 0xA8, 0xDD, 0xD1, 0x20, 0x5C, 0xEA ),
257 BYTES_TO_T_UINT_8( 0xBF, 0xFE, 0x17, 0xE2, 0xCF, 0xEA, 0x63, 0xDE ),
258 BYTES_TO_T_UINT_8( 0x74, 0x51, 0xC9, 0x16, 0xDE, 0xB4, 0xB2, 0xDD ),
259};
260static const mbedtls_mpi_uint secp192r1_T_11_Y[] = {
261 BYTES_TO_T_UINT_8( 0x59, 0xBE, 0x12, 0xD7, 0xA3, 0x0A, 0x50, 0x33 ),
262 BYTES_TO_T_UINT_8( 0x53, 0x87, 0xC5, 0x8A, 0x76, 0x57, 0x07, 0x60 ),
263 BYTES_TO_T_UINT_8( 0xE5, 0x1F, 0xC6, 0x1B, 0x66, 0xC4, 0x3D, 0x8A ),
264};
265static const mbedtls_mpi_uint secp192r1_T_12_X[] = {
266 BYTES_TO_T_UINT_8( 0x28, 0xA4, 0x85, 0x13, 0x8F, 0xA7, 0x35, 0x19 ),
267 BYTES_TO_T_UINT_8( 0x58, 0x0D, 0xFD, 0xFF, 0x1B, 0xD1, 0xD6, 0xEF ),
268 BYTES_TO_T_UINT_8( 0xBA, 0x7A, 0xD0, 0xC3, 0xB4, 0xEF, 0x39, 0x66 ),
269};
270static const mbedtls_mpi_uint secp192r1_T_12_Y[] = {
271 BYTES_TO_T_UINT_8( 0x3A, 0xFE, 0xA5, 0x9C, 0x34, 0x30, 0x49, 0x40 ),
272 BYTES_TO_T_UINT_8( 0xDE, 0xC5, 0x39, 0x26, 0x06, 0xE3, 0x01, 0x17 ),
273 BYTES_TO_T_UINT_8( 0xE2, 0x2B, 0x66, 0xFC, 0x95, 0x5F, 0x35, 0xF7 ),
274};
275static const mbedtls_mpi_uint secp192r1_T_13_X[] = {
276 BYTES_TO_T_UINT_8( 0x58, 0xCF, 0x54, 0x63, 0x99, 0x57, 0x05, 0x45 ),
277 BYTES_TO_T_UINT_8( 0x71, 0x6F, 0x00, 0x5F, 0x65, 0x08, 0x47, 0x98 ),
278 BYTES_TO_T_UINT_8( 0x62, 0x2A, 0x90, 0x6D, 0x67, 0xC6, 0xBC, 0x45 ),
279};
280static const mbedtls_mpi_uint secp192r1_T_13_Y[] = {
281 BYTES_TO_T_UINT_8( 0x8A, 0x4D, 0x88, 0x0A, 0x35, 0x9E, 0x33, 0x9C ),
282 BYTES_TO_T_UINT_8( 0x7C, 0x17, 0x0C, 0xF8, 0xE1, 0x7A, 0x49, 0x02 ),
283 BYTES_TO_T_UINT_8( 0xA4, 0x44, 0x06, 0x8F, 0x0B, 0x70, 0x2F, 0x71 ),
284};
285static const mbedtls_mpi_uint secp192r1_T_14_X[] = {
286 BYTES_TO_T_UINT_8( 0x85, 0x4B, 0xCB, 0xF9, 0x8E, 0x6A, 0xDA, 0x1B ),
287 BYTES_TO_T_UINT_8( 0x29, 0x43, 0xA1, 0x3F, 0xCE, 0x17, 0xD2, 0x32 ),
288 BYTES_TO_T_UINT_8( 0x5D, 0x0D, 0xD2, 0x6C, 0x82, 0x37, 0xE5, 0xFC ),
289};
290static const mbedtls_mpi_uint secp192r1_T_14_Y[] = {
291 BYTES_TO_T_UINT_8( 0x4A, 0x3C, 0xF4, 0x92, 0xB4, 0x8A, 0x95, 0x85 ),
292 BYTES_TO_T_UINT_8( 0x85, 0x96, 0xF1, 0x0A, 0x34, 0x2F, 0x74, 0x7E ),
293 BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0xAA, 0xBA, 0x86, 0x77, 0x4F, 0xA2 ),
294};
295static const mbedtls_mpi_uint secp192r1_T_15_X[] = {
296 BYTES_TO_T_UINT_8( 0xE5, 0x7F, 0xEF, 0x60, 0x50, 0x80, 0xD7, 0xD4 ),
297 BYTES_TO_T_UINT_8( 0x31, 0xAC, 0xC9, 0xFE, 0xEC, 0x0A, 0x1A, 0x9F ),
298 BYTES_TO_T_UINT_8( 0x6B, 0x2F, 0xBE, 0x91, 0xD7, 0xB7, 0x38, 0x48 ),
299};
300static const mbedtls_mpi_uint secp192r1_T_15_Y[] = {
301 BYTES_TO_T_UINT_8( 0xB1, 0xAE, 0x85, 0x98, 0xFE, 0x05, 0x7F, 0x9F ),
302 BYTES_TO_T_UINT_8( 0x91, 0xBE, 0xFD, 0x11, 0x31, 0x3D, 0x14, 0x13 ),
303 BYTES_TO_T_UINT_8( 0x59, 0x75, 0xE8, 0x30, 0x01, 0xCB, 0x9B, 0x1C ),
304};
305static const mbedtls_ecp_point secp192r1_T[16] = {
306 ECP_POINT_INIT_XY_Z1(secp192r1_T_0_X, secp192r1_T_0_Y),
307 ECP_POINT_INIT_XY_Z0(secp192r1_T_1_X, secp192r1_T_1_Y),
308 ECP_POINT_INIT_XY_Z0(secp192r1_T_2_X, secp192r1_T_2_Y),
309 ECP_POINT_INIT_XY_Z0(secp192r1_T_3_X, secp192r1_T_3_Y),
310 ECP_POINT_INIT_XY_Z0(secp192r1_T_4_X, secp192r1_T_4_Y),
311 ECP_POINT_INIT_XY_Z0(secp192r1_T_5_X, secp192r1_T_5_Y),
312 ECP_POINT_INIT_XY_Z0(secp192r1_T_6_X, secp192r1_T_6_Y),
313 ECP_POINT_INIT_XY_Z0(secp192r1_T_7_X, secp192r1_T_7_Y),
314 ECP_POINT_INIT_XY_Z0(secp192r1_T_8_X, secp192r1_T_8_Y),
315 ECP_POINT_INIT_XY_Z0(secp192r1_T_9_X, secp192r1_T_9_Y),
316 ECP_POINT_INIT_XY_Z0(secp192r1_T_10_X, secp192r1_T_10_Y),
317 ECP_POINT_INIT_XY_Z0(secp192r1_T_11_X, secp192r1_T_11_Y),
318 ECP_POINT_INIT_XY_Z0(secp192r1_T_12_X, secp192r1_T_12_Y),
319 ECP_POINT_INIT_XY_Z0(secp192r1_T_13_X, secp192r1_T_13_Y),
320 ECP_POINT_INIT_XY_Z0(secp192r1_T_14_X, secp192r1_T_14_Y),
321 ECP_POINT_INIT_XY_Z0(secp192r1_T_15_X, secp192r1_T_15_Y),
322};
323#else
324#define secp192r1_T NULL
325#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200326#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100327
328/*
329 * Domain parameters for secp224r1
330 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200331#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
332static const mbedtls_mpi_uint secp224r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100333 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
334 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
335 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
336 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100337};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200338static const mbedtls_mpi_uint secp224r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100339 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
340 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
341 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100342 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100343};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200344static const mbedtls_mpi_uint secp224r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100345 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
346 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
347 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100348 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100349};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200350static const mbedtls_mpi_uint secp224r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100351 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
352 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
353 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100354 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100355};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200356static const mbedtls_mpi_uint secp224r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100357 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
358 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
359 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100360 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100361};
kXuanba9cb762021-04-08 14:32:06 +0800362#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
363static const mbedtls_mpi_uint secp224r1_T_0_X[] = {
364 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
365 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
366 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
367 BYTES_TO_T_UINT_8( 0xBD, 0x0C, 0x0E, 0xB7, 0x00, 0x00, 0x00, 0x00 ),
368};
369static const mbedtls_mpi_uint secp224r1_T_0_Y[] = {
370 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
371 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
372 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
373 BYTES_TO_T_UINT_8( 0x88, 0x63, 0x37, 0xBD, 0x00, 0x00, 0x00, 0x00 ),
374};
375static const mbedtls_mpi_uint secp224r1_T_1_X[] = {
376 BYTES_TO_T_UINT_8( 0xE0, 0xF9, 0xB8, 0xD0, 0x3D, 0xD2, 0xD3, 0xFA ),
377 BYTES_TO_T_UINT_8( 0x1E, 0xFD, 0x99, 0x26, 0x19, 0xFE, 0x13, 0x6E ),
378 BYTES_TO_T_UINT_8( 0x1C, 0x0E, 0x4C, 0x48, 0x7C, 0xA2, 0x17, 0x01 ),
379 BYTES_TO_T_UINT_8( 0x3D, 0xA3, 0x13, 0x57, 0x00, 0x00, 0x00, 0x00 ),
380};
381static const mbedtls_mpi_uint secp224r1_T_1_Y[] = {
382 BYTES_TO_T_UINT_8( 0x9F, 0x16, 0x5C, 0x8F, 0xAA, 0xED, 0x0F, 0x58 ),
383 BYTES_TO_T_UINT_8( 0xBF, 0xC5, 0x43, 0x34, 0x93, 0x05, 0x2A, 0x4C ),
384 BYTES_TO_T_UINT_8( 0xE4, 0xE3, 0x6C, 0xCA, 0xC6, 0x14, 0xC2, 0x25 ),
385 BYTES_TO_T_UINT_8( 0xD3, 0x43, 0x6C, 0xD7, 0x00, 0x00, 0x00, 0x00 ),
386};
387static const mbedtls_mpi_uint secp224r1_T_2_X[] = {
388 BYTES_TO_T_UINT_8( 0xC3, 0x5A, 0x98, 0x1E, 0xC8, 0xA5, 0x42, 0xA3 ),
389 BYTES_TO_T_UINT_8( 0x98, 0x49, 0x56, 0x78, 0xF8, 0xEF, 0xED, 0x65 ),
390 BYTES_TO_T_UINT_8( 0x1B, 0xBB, 0x64, 0xB6, 0x4C, 0x54, 0x5F, 0xD1 ),
391 BYTES_TO_T_UINT_8( 0x2F, 0x0C, 0x33, 0xCC, 0x00, 0x00, 0x00, 0x00 ),
392};
393static const mbedtls_mpi_uint secp224r1_T_2_Y[] = {
394 BYTES_TO_T_UINT_8( 0xFA, 0x79, 0xCB, 0x2E, 0x08, 0xFF, 0xD8, 0xE6 ),
395 BYTES_TO_T_UINT_8( 0x2E, 0x1F, 0xD4, 0xD7, 0x57, 0xE9, 0x39, 0x45 ),
396 BYTES_TO_T_UINT_8( 0xD8, 0xD6, 0x3B, 0x0A, 0x1C, 0x87, 0xB7, 0x6A ),
397 BYTES_TO_T_UINT_8( 0xEB, 0x30, 0xD8, 0x05, 0x00, 0x00, 0x00, 0x00 ),
398};
399static const mbedtls_mpi_uint secp224r1_T_3_X[] = {
400 BYTES_TO_T_UINT_8( 0xAD, 0x79, 0x74, 0x9A, 0xE6, 0xBB, 0xC2, 0xC2 ),
401 BYTES_TO_T_UINT_8( 0xB4, 0x5B, 0xA6, 0x67, 0xC1, 0x91, 0xE7, 0x64 ),
402 BYTES_TO_T_UINT_8( 0xF0, 0xDF, 0x38, 0x82, 0x19, 0x2C, 0x4C, 0xCA ),
403 BYTES_TO_T_UINT_8( 0xD1, 0x2E, 0x39, 0xC5, 0x00, 0x00, 0x00, 0x00 ),
404};
405static const mbedtls_mpi_uint secp224r1_T_3_Y[] = {
406 BYTES_TO_T_UINT_8( 0x99, 0x36, 0x78, 0x4E, 0xAE, 0x5B, 0x02, 0x76 ),
407 BYTES_TO_T_UINT_8( 0x14, 0xF6, 0x8B, 0xF8, 0xF4, 0x92, 0x6B, 0x42 ),
408 BYTES_TO_T_UINT_8( 0xBA, 0x4D, 0x71, 0x35, 0xE7, 0x0C, 0x2C, 0x98 ),
409 BYTES_TO_T_UINT_8( 0x9B, 0xA5, 0x1F, 0xAE, 0x00, 0x00, 0x00, 0x00 ),
410};
411static const mbedtls_mpi_uint secp224r1_T_4_X[] = {
412 BYTES_TO_T_UINT_8( 0xAF, 0x1C, 0x4B, 0xDF, 0x5B, 0xF2, 0x51, 0xB7 ),
413 BYTES_TO_T_UINT_8( 0x05, 0x74, 0xB1, 0x5A, 0xC6, 0x0F, 0x0E, 0x61 ),
414 BYTES_TO_T_UINT_8( 0xE8, 0x24, 0x09, 0x62, 0xAF, 0xFC, 0xDB, 0x45 ),
415 BYTES_TO_T_UINT_8( 0x43, 0xE1, 0x80, 0x55, 0x00, 0x00, 0x00, 0x00 ),
416};
417static const mbedtls_mpi_uint secp224r1_T_4_Y[] = {
418 BYTES_TO_T_UINT_8( 0x3C, 0x82, 0xFE, 0xAD, 0xC3, 0xE5, 0xCF, 0xD8 ),
419 BYTES_TO_T_UINT_8( 0x24, 0xA2, 0x62, 0x17, 0x76, 0xF0, 0x5A, 0xFA ),
420 BYTES_TO_T_UINT_8( 0x3E, 0xB8, 0xE5, 0xAC, 0xB7, 0x66, 0x38, 0xAA ),
421 BYTES_TO_T_UINT_8( 0x97, 0xFD, 0x86, 0x05, 0x00, 0x00, 0x00, 0x00 ),
422};
423static const mbedtls_mpi_uint secp224r1_T_5_X[] = {
424 BYTES_TO_T_UINT_8( 0x59, 0xD3, 0x0C, 0x3C, 0xD1, 0x66, 0xB0, 0xF1 ),
425 BYTES_TO_T_UINT_8( 0xBC, 0x59, 0xB4, 0x8D, 0x90, 0x10, 0xB7, 0xA2 ),
426 BYTES_TO_T_UINT_8( 0x96, 0x47, 0x9B, 0xE6, 0x55, 0x8A, 0xE4, 0xEE ),
427 BYTES_TO_T_UINT_8( 0xB1, 0x49, 0xDB, 0x78, 0x00, 0x00, 0x00, 0x00 ),
428};
429static const mbedtls_mpi_uint secp224r1_T_5_Y[] = {
430 BYTES_TO_T_UINT_8( 0x41, 0x97, 0xED, 0xDE, 0xFF, 0xB3, 0xDF, 0x48 ),
431 BYTES_TO_T_UINT_8( 0x10, 0xB9, 0x83, 0xB7, 0xEB, 0xBE, 0x40, 0x8D ),
432 BYTES_TO_T_UINT_8( 0xAF, 0xD3, 0xD3, 0xCD, 0x0E, 0x82, 0x79, 0x3D ),
433 BYTES_TO_T_UINT_8( 0x9B, 0x83, 0x1B, 0xF0, 0x00, 0x00, 0x00, 0x00 ),
434};
435static const mbedtls_mpi_uint secp224r1_T_6_X[] = {
436 BYTES_TO_T_UINT_8( 0x3F, 0x22, 0xBB, 0x54, 0xD3, 0x31, 0x56, 0xFC ),
437 BYTES_TO_T_UINT_8( 0x80, 0x36, 0xE5, 0xE0, 0x89, 0x96, 0x8E, 0x71 ),
438 BYTES_TO_T_UINT_8( 0xE1, 0xEF, 0x0A, 0xED, 0xD0, 0x11, 0x4A, 0xFF ),
439 BYTES_TO_T_UINT_8( 0x15, 0x00, 0x57, 0x27, 0x00, 0x00, 0x00, 0x00 ),
440};
441static const mbedtls_mpi_uint secp224r1_T_6_Y[] = {
442 BYTES_TO_T_UINT_8( 0x13, 0xCA, 0x3D, 0xF7, 0x64, 0x9B, 0x6E, 0x85 ),
443 BYTES_TO_T_UINT_8( 0x90, 0xE3, 0x70, 0x6B, 0x41, 0xD7, 0xED, 0x8F ),
444 BYTES_TO_T_UINT_8( 0x02, 0x44, 0x44, 0x80, 0xCE, 0x13, 0x37, 0x92 ),
445 BYTES_TO_T_UINT_8( 0x94, 0x73, 0x80, 0x79, 0x00, 0x00, 0x00, 0x00 ),
446};
447static const mbedtls_mpi_uint secp224r1_T_7_X[] = {
448 BYTES_TO_T_UINT_8( 0xB7, 0x4D, 0x70, 0x7D, 0x31, 0x0F, 0x1C, 0x58 ),
449 BYTES_TO_T_UINT_8( 0x6D, 0x35, 0x88, 0x47, 0xC4, 0x24, 0x78, 0x3F ),
450 BYTES_TO_T_UINT_8( 0xBA, 0xF0, 0xCD, 0x91, 0x81, 0xB3, 0xDE, 0xB6 ),
451 BYTES_TO_T_UINT_8( 0x04, 0xCE, 0xC6, 0xF7, 0x00, 0x00, 0x00, 0x00 ),
452};
453static const mbedtls_mpi_uint secp224r1_T_7_Y[] = {
454 BYTES_TO_T_UINT_8( 0xE9, 0x9C, 0x2D, 0xE8, 0xD2, 0x00, 0x8F, 0x10 ),
455 BYTES_TO_T_UINT_8( 0xD5, 0x5E, 0x7C, 0x0E, 0x0C, 0x6E, 0x58, 0x02 ),
456 BYTES_TO_T_UINT_8( 0xAE, 0x81, 0x21, 0xCE, 0x43, 0xF4, 0x24, 0x3D ),
457 BYTES_TO_T_UINT_8( 0x9E, 0xBC, 0xF0, 0xF4, 0x00, 0x00, 0x00, 0x00 ),
458};
459static const mbedtls_mpi_uint secp224r1_T_8_X[] = {
460 BYTES_TO_T_UINT_8( 0xD6, 0x10, 0xC2, 0x74, 0x4A, 0x8F, 0x8A, 0xCF ),
461 BYTES_TO_T_UINT_8( 0x89, 0x67, 0xF4, 0x2B, 0x38, 0x2B, 0x35, 0x17 ),
462 BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0C, 0xA9, 0xFA, 0x77, 0x5C, 0xBD ),
463 BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x19, 0x2B, 0x00, 0x00, 0x00, 0x00 ),
464};
465static const mbedtls_mpi_uint secp224r1_T_8_Y[] = {
466 BYTES_TO_T_UINT_8( 0xE7, 0x3E, 0x96, 0x22, 0x53, 0xE1, 0xE9, 0xBE ),
467 BYTES_TO_T_UINT_8( 0xE0, 0x13, 0xBC, 0xA1, 0x16, 0xEC, 0x01, 0x1A ),
468 BYTES_TO_T_UINT_8( 0x9A, 0x00, 0xC9, 0x7A, 0xC3, 0x73, 0xA5, 0x45 ),
469 BYTES_TO_T_UINT_8( 0xE1, 0xF4, 0x5E, 0xC1, 0x00, 0x00, 0x00, 0x00 ),
470};
471static const mbedtls_mpi_uint secp224r1_T_9_X[] = {
472 BYTES_TO_T_UINT_8( 0xA8, 0x95, 0xD6, 0xD9, 0x32, 0x30, 0x2B, 0xD0 ),
473 BYTES_TO_T_UINT_8( 0x77, 0x42, 0x09, 0x05, 0x61, 0x2A, 0x7E, 0x82 ),
474 BYTES_TO_T_UINT_8( 0x73, 0x84, 0xA2, 0x05, 0x88, 0x64, 0x65, 0xF9 ),
475 BYTES_TO_T_UINT_8( 0x03, 0x2D, 0x90, 0xB3, 0x00, 0x00, 0x00, 0x00 ),
476};
477static const mbedtls_mpi_uint secp224r1_T_9_Y[] = {
478 BYTES_TO_T_UINT_8( 0x0A, 0xE7, 0x2E, 0x85, 0x55, 0x80, 0x7C, 0x79 ),
479 BYTES_TO_T_UINT_8( 0x0F, 0xC1, 0xAC, 0x78, 0xB4, 0xAF, 0xFB, 0x6E ),
480 BYTES_TO_T_UINT_8( 0xD3, 0xC3, 0x28, 0x8E, 0x79, 0x18, 0x1F, 0x58 ),
481 BYTES_TO_T_UINT_8( 0x34, 0x46, 0xCF, 0x49, 0x00, 0x00, 0x00, 0x00 ),
482};
483static const mbedtls_mpi_uint secp224r1_T_10_X[] = {
484 BYTES_TO_T_UINT_8( 0x63, 0x5F, 0xA8, 0x6C, 0x46, 0x83, 0x43, 0xFA ),
485 BYTES_TO_T_UINT_8( 0xFA, 0xA9, 0x93, 0x11, 0xB6, 0x07, 0x57, 0x74 ),
486 BYTES_TO_T_UINT_8( 0x77, 0x2A, 0x9D, 0x03, 0x89, 0x7E, 0xD7, 0x3C ),
487 BYTES_TO_T_UINT_8( 0x7B, 0x8C, 0x62, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
488};
489static const mbedtls_mpi_uint secp224r1_T_10_Y[] = {
490 BYTES_TO_T_UINT_8( 0x44, 0x2C, 0x13, 0x59, 0xCC, 0xFA, 0x84, 0x9E ),
491 BYTES_TO_T_UINT_8( 0x51, 0xB9, 0x48, 0xBC, 0x57, 0xC7, 0xB3, 0x7C ),
492 BYTES_TO_T_UINT_8( 0xFC, 0x0A, 0x38, 0x24, 0x2E, 0x3A, 0x28, 0x25 ),
493 BYTES_TO_T_UINT_8( 0xBC, 0x0A, 0x43, 0xB8, 0x00, 0x00, 0x00, 0x00 ),
494};
495static const mbedtls_mpi_uint secp224r1_T_11_X[] = {
496 BYTES_TO_T_UINT_8( 0x59, 0x25, 0xAB, 0xC1, 0xEE, 0x70, 0x3C, 0xE1 ),
497 BYTES_TO_T_UINT_8( 0xF3, 0xDB, 0x45, 0x1D, 0x4A, 0x80, 0x75, 0x35 ),
498 BYTES_TO_T_UINT_8( 0xE8, 0x1F, 0x4D, 0x2D, 0x9A, 0x05, 0xF4, 0xCB ),
499 BYTES_TO_T_UINT_8( 0x6B, 0x10, 0xF0, 0x5A, 0x00, 0x00, 0x00, 0x00 ),
500};
501static const mbedtls_mpi_uint secp224r1_T_11_Y[] = {
502 BYTES_TO_T_UINT_8( 0x35, 0x95, 0xE1, 0xDC, 0x15, 0x86, 0xC3, 0x7B ),
503 BYTES_TO_T_UINT_8( 0xEC, 0xDC, 0x27, 0xD1, 0x56, 0xA1, 0x14, 0x0D ),
504 BYTES_TO_T_UINT_8( 0x59, 0x0B, 0xD6, 0x77, 0x4E, 0x44, 0xA2, 0xF8 ),
505 BYTES_TO_T_UINT_8( 0x94, 0x42, 0x71, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
506};
507static const mbedtls_mpi_uint secp224r1_T_12_X[] = {
508 BYTES_TO_T_UINT_8( 0x30, 0x86, 0xB2, 0xB0, 0xC8, 0x2F, 0x7B, 0xFE ),
509 BYTES_TO_T_UINT_8( 0x96, 0xEF, 0xCB, 0xDB, 0xBC, 0x9E, 0x3B, 0xC5 ),
510 BYTES_TO_T_UINT_8( 0x1B, 0x03, 0x86, 0xDD, 0x5B, 0xF5, 0x8D, 0x46 ),
511 BYTES_TO_T_UINT_8( 0x58, 0x95, 0x79, 0xD6, 0x00, 0x00, 0x00, 0x00 ),
512};
513static const mbedtls_mpi_uint secp224r1_T_12_Y[] = {
514 BYTES_TO_T_UINT_8( 0x84, 0x32, 0x14, 0xDA, 0x9B, 0x4F, 0x07, 0x39 ),
515 BYTES_TO_T_UINT_8( 0xB5, 0x3E, 0xFB, 0x06, 0xEE, 0xA7, 0x40, 0x40 ),
516 BYTES_TO_T_UINT_8( 0x76, 0x1F, 0xDF, 0x71, 0x61, 0xFD, 0x8B, 0xBE ),
517 BYTES_TO_T_UINT_8( 0x80, 0x8B, 0xAB, 0x8B, 0x00, 0x00, 0x00, 0x00 ),
518};
519static const mbedtls_mpi_uint secp224r1_T_13_X[] = {
520 BYTES_TO_T_UINT_8( 0xC9, 0x34, 0xB3, 0xB4, 0xBC, 0x9F, 0xB0, 0x5E ),
521 BYTES_TO_T_UINT_8( 0xE6, 0x58, 0x48, 0xA8, 0x77, 0xBB, 0x13, 0x2F ),
522 BYTES_TO_T_UINT_8( 0x41, 0xC6, 0xF7, 0x34, 0xCC, 0x89, 0x21, 0x0A ),
523 BYTES_TO_T_UINT_8( 0xCA, 0x33, 0xDD, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
524};
525static const mbedtls_mpi_uint secp224r1_T_13_Y[] = {
526 BYTES_TO_T_UINT_8( 0xCC, 0x81, 0xEF, 0xA4, 0xF2, 0x10, 0x0B, 0xCD ),
527 BYTES_TO_T_UINT_8( 0x83, 0xF7, 0x6E, 0x72, 0x4A, 0xDF, 0xDD, 0xE8 ),
528 BYTES_TO_T_UINT_8( 0x67, 0x23, 0x0A, 0x53, 0x03, 0x16, 0x62, 0xD2 ),
529 BYTES_TO_T_UINT_8( 0x0B, 0x76, 0xFD, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
530};
531static const mbedtls_mpi_uint secp224r1_T_14_X[] = {
532 BYTES_TO_T_UINT_8( 0xCB, 0x14, 0xA1, 0xFA, 0xA0, 0x18, 0xBE, 0x07 ),
533 BYTES_TO_T_UINT_8( 0x03, 0x2A, 0xE1, 0xD7, 0xB0, 0x6C, 0xA0, 0xDE ),
534 BYTES_TO_T_UINT_8( 0xD1, 0xC0, 0xB0, 0xC6, 0x63, 0x24, 0xCD, 0x4E ),
535 BYTES_TO_T_UINT_8( 0x33, 0x38, 0x2C, 0xB1, 0x00, 0x00, 0x00, 0x00 ),
536};
537static const mbedtls_mpi_uint secp224r1_T_14_Y[] = {
538 BYTES_TO_T_UINT_8( 0xEE, 0xCD, 0x7D, 0x20, 0x0C, 0xFE, 0xAC, 0xC3 ),
539 BYTES_TO_T_UINT_8( 0x09, 0x97, 0x9F, 0xA2, 0xB6, 0x45, 0xF7, 0x7B ),
540 BYTES_TO_T_UINT_8( 0xCA, 0x99, 0xF3, 0xD2, 0x20, 0x02, 0xEB, 0x04 ),
541 BYTES_TO_T_UINT_8( 0x43, 0x18, 0x5B, 0x7B, 0x00, 0x00, 0x00, 0x00 ),
542};
543static const mbedtls_mpi_uint secp224r1_T_15_X[] = {
544 BYTES_TO_T_UINT_8( 0x2B, 0xDD, 0x77, 0x91, 0x60, 0xEA, 0xFD, 0xD3 ),
545 BYTES_TO_T_UINT_8( 0x7D, 0xD3, 0xB5, 0xD6, 0x90, 0x17, 0x0E, 0x1A ),
546 BYTES_TO_T_UINT_8( 0x00, 0xF4, 0x28, 0xC1, 0xF2, 0x53, 0xF6, 0x63 ),
547 BYTES_TO_T_UINT_8( 0x49, 0x58, 0xDC, 0x61, 0x00, 0x00, 0x00, 0x00 ),
548};
549static const mbedtls_mpi_uint secp224r1_T_15_Y[] = {
550 BYTES_TO_T_UINT_8( 0xA8, 0x20, 0x01, 0xFB, 0xF1, 0xBD, 0x5F, 0x45 ),
551 BYTES_TO_T_UINT_8( 0xD0, 0x7F, 0x06, 0xDA, 0x11, 0xCB, 0xBA, 0xA6 ),
552 BYTES_TO_T_UINT_8( 0xA7, 0x41, 0x00, 0xA4, 0x1B, 0x30, 0x33, 0x79 ),
553 BYTES_TO_T_UINT_8( 0xF4, 0xFF, 0x27, 0xCA, 0x00, 0x00, 0x00, 0x00 ),
554};
555static const mbedtls_ecp_point secp224r1_T[16] = {
556 ECP_POINT_INIT_XY_Z1(secp224r1_T_0_X, secp224r1_T_0_Y),
557 ECP_POINT_INIT_XY_Z0(secp224r1_T_1_X, secp224r1_T_1_Y),
558 ECP_POINT_INIT_XY_Z0(secp224r1_T_2_X, secp224r1_T_2_Y),
559 ECP_POINT_INIT_XY_Z0(secp224r1_T_3_X, secp224r1_T_3_Y),
560 ECP_POINT_INIT_XY_Z0(secp224r1_T_4_X, secp224r1_T_4_Y),
561 ECP_POINT_INIT_XY_Z0(secp224r1_T_5_X, secp224r1_T_5_Y),
562 ECP_POINT_INIT_XY_Z0(secp224r1_T_6_X, secp224r1_T_6_Y),
563 ECP_POINT_INIT_XY_Z0(secp224r1_T_7_X, secp224r1_T_7_Y),
564 ECP_POINT_INIT_XY_Z0(secp224r1_T_8_X, secp224r1_T_8_Y),
565 ECP_POINT_INIT_XY_Z0(secp224r1_T_9_X, secp224r1_T_9_Y),
566 ECP_POINT_INIT_XY_Z0(secp224r1_T_10_X, secp224r1_T_10_Y),
567 ECP_POINT_INIT_XY_Z0(secp224r1_T_11_X, secp224r1_T_11_Y),
568 ECP_POINT_INIT_XY_Z0(secp224r1_T_12_X, secp224r1_T_12_Y),
569 ECP_POINT_INIT_XY_Z0(secp224r1_T_13_X, secp224r1_T_13_Y),
570 ECP_POINT_INIT_XY_Z0(secp224r1_T_14_X, secp224r1_T_14_Y),
571 ECP_POINT_INIT_XY_Z0(secp224r1_T_15_X, secp224r1_T_15_Y),
572};
573#else
574#define secp224r1_T NULL
575#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200576#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100577
578/*
579 * Domain parameters for secp256r1
580 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200581#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
582static const mbedtls_mpi_uint secp256r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100583 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
584 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
585 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
586 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100587};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200588static const mbedtls_mpi_uint secp256r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100589 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
590 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
591 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
592 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100593};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200594static const mbedtls_mpi_uint secp256r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100595 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
596 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
597 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
598 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100599};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200600static const mbedtls_mpi_uint secp256r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100601 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
602 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
603 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
604 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100605};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200606static const mbedtls_mpi_uint secp256r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100607 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
608 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
609 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
610 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100611};
kXuanba9cb762021-04-08 14:32:06 +0800612#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
613static const mbedtls_mpi_uint secp256r1_T_0_X[] = {
614 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
615 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
616 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
617 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
618};
619static const mbedtls_mpi_uint secp256r1_T_0_Y[] = {
620 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
621 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
622 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
623 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
624};
625static const mbedtls_mpi_uint secp256r1_T_1_X[] = {
626 BYTES_TO_T_UINT_8( 0x70, 0xC8, 0xBA, 0x04, 0xB7, 0x4B, 0xD2, 0xF7 ),
627 BYTES_TO_T_UINT_8( 0xAB, 0xC6, 0x23, 0x3A, 0xA0, 0x09, 0x3A, 0x59 ),
628 BYTES_TO_T_UINT_8( 0x1D, 0x9D, 0x4C, 0xF9, 0x58, 0x23, 0xCC, 0xDF ),
629 BYTES_TO_T_UINT_8( 0x02, 0xED, 0x7B, 0x29, 0x87, 0x0F, 0xFA, 0x3C ),
630};
631static const mbedtls_mpi_uint secp256r1_T_1_Y[] = {
632 BYTES_TO_T_UINT_8( 0x40, 0x69, 0xF2, 0x40, 0x0B, 0xA3, 0x98, 0xCE ),
633 BYTES_TO_T_UINT_8( 0xAF, 0xA8, 0x48, 0x02, 0x0D, 0x1C, 0x12, 0x62 ),
634 BYTES_TO_T_UINT_8( 0x9B, 0xAF, 0x09, 0x83, 0x80, 0xAA, 0x58, 0xA7 ),
635 BYTES_TO_T_UINT_8( 0xC6, 0x12, 0xBE, 0x70, 0x94, 0x76, 0xE3, 0xE4 ),
636};
637static const mbedtls_mpi_uint secp256r1_T_2_X[] = {
638 BYTES_TO_T_UINT_8( 0x7D, 0x7D, 0xEF, 0x86, 0xFF, 0xE3, 0x37, 0xDD ),
639 BYTES_TO_T_UINT_8( 0xDB, 0x86, 0x8B, 0x08, 0x27, 0x7C, 0xD7, 0xF6 ),
640 BYTES_TO_T_UINT_8( 0x91, 0x54, 0x4C, 0x25, 0x4F, 0x9A, 0xFE, 0x28 ),
641 BYTES_TO_T_UINT_8( 0x5E, 0xFD, 0xF0, 0x6D, 0x37, 0x03, 0x69, 0xD6 ),
642};
643static const mbedtls_mpi_uint secp256r1_T_2_Y[] = {
644 BYTES_TO_T_UINT_8( 0x96, 0xD5, 0xDA, 0xAD, 0x92, 0x49, 0xF0, 0x9F ),
645 BYTES_TO_T_UINT_8( 0xF9, 0x73, 0x43, 0x9E, 0xAF, 0xA7, 0xD1, 0xF3 ),
646 BYTES_TO_T_UINT_8( 0x67, 0x41, 0x07, 0xDF, 0x78, 0x95, 0x3E, 0xA1 ),
647 BYTES_TO_T_UINT_8( 0x22, 0x3D, 0xD1, 0xE6, 0x3C, 0xA5, 0xE2, 0x20 ),
648};
649static const mbedtls_mpi_uint secp256r1_T_3_X[] = {
650 BYTES_TO_T_UINT_8( 0xBF, 0x6A, 0x5D, 0x52, 0x35, 0xD7, 0xBF, 0xAE ),
651 BYTES_TO_T_UINT_8( 0x5A, 0xA2, 0xBE, 0x96, 0xF4, 0xF8, 0x02, 0xC3 ),
652 BYTES_TO_T_UINT_8( 0xA4, 0x20, 0x49, 0x54, 0xEA, 0xB3, 0x82, 0xDB ),
653 BYTES_TO_T_UINT_8( 0x2E, 0xDB, 0xEA, 0x02, 0xD1, 0x75, 0x1C, 0x62 ),
654};
655static const mbedtls_mpi_uint secp256r1_T_3_Y[] = {
656 BYTES_TO_T_UINT_8( 0xF0, 0x85, 0xF4, 0x9E, 0x4C, 0xDC, 0x39, 0x89 ),
657 BYTES_TO_T_UINT_8( 0x63, 0x6D, 0xC4, 0x57, 0xD8, 0x03, 0x5D, 0x22 ),
658 BYTES_TO_T_UINT_8( 0x70, 0x7F, 0x2D, 0x52, 0x6F, 0xC9, 0xDA, 0x4F ),
659 BYTES_TO_T_UINT_8( 0x9D, 0x64, 0xFA, 0xB4, 0xFE, 0xA4, 0xC4, 0xD7 ),
660};
661static const mbedtls_mpi_uint secp256r1_T_4_X[] = {
662 BYTES_TO_T_UINT_8( 0x2A, 0x37, 0xB9, 0xC0, 0xAA, 0x59, 0xC6, 0x8B ),
663 BYTES_TO_T_UINT_8( 0x3F, 0x58, 0xD9, 0xED, 0x58, 0x99, 0x65, 0xF7 ),
664 BYTES_TO_T_UINT_8( 0x88, 0x7D, 0x26, 0x8C, 0x4A, 0xF9, 0x05, 0x9F ),
665 BYTES_TO_T_UINT_8( 0x9D, 0x73, 0x9A, 0xC9, 0xE7, 0x46, 0xDC, 0x00 ),
666};
667static const mbedtls_mpi_uint secp256r1_T_4_Y[] = {
668 BYTES_TO_T_UINT_8( 0xF2, 0xD0, 0x55, 0xDF, 0x00, 0x0A, 0xF5, 0x4A ),
669 BYTES_TO_T_UINT_8( 0x6A, 0xBF, 0x56, 0x81, 0x2D, 0x20, 0xEB, 0xB5 ),
670 BYTES_TO_T_UINT_8( 0x11, 0xC1, 0x28, 0x52, 0xAB, 0xE3, 0xD1, 0x40 ),
671 BYTES_TO_T_UINT_8( 0x24, 0x34, 0x79, 0x45, 0x57, 0xA5, 0x12, 0x03 ),
672};
673static const mbedtls_mpi_uint secp256r1_T_5_X[] = {
674 BYTES_TO_T_UINT_8( 0xEE, 0xCF, 0xB8, 0x7E, 0xF7, 0x92, 0x96, 0x8D ),
675 BYTES_TO_T_UINT_8( 0x3D, 0x01, 0x8C, 0x0D, 0x23, 0xF2, 0xE3, 0x05 ),
676 BYTES_TO_T_UINT_8( 0x59, 0x2E, 0xE3, 0x84, 0x52, 0x7A, 0x34, 0x76 ),
677 BYTES_TO_T_UINT_8( 0xE5, 0xA1, 0xB0, 0x15, 0x90, 0xE2, 0x53, 0x3C ),
678};
679static const mbedtls_mpi_uint secp256r1_T_5_Y[] = {
680 BYTES_TO_T_UINT_8( 0xD4, 0x98, 0xE7, 0xFA, 0xA5, 0x7D, 0x8B, 0x53 ),
681 BYTES_TO_T_UINT_8( 0x91, 0x35, 0xD2, 0x00, 0xD1, 0x1B, 0x9F, 0x1B ),
682 BYTES_TO_T_UINT_8( 0x3F, 0x69, 0x08, 0x9A, 0x72, 0xF0, 0xA9, 0x11 ),
683 BYTES_TO_T_UINT_8( 0xB3, 0xFE, 0x0E, 0x14, 0xDA, 0x7C, 0x0E, 0xD3 ),
684};
685static const mbedtls_mpi_uint secp256r1_T_6_X[] = {
686 BYTES_TO_T_UINT_8( 0x83, 0xF6, 0xE8, 0xF8, 0x87, 0xF7, 0xFC, 0x6D ),
687 BYTES_TO_T_UINT_8( 0x90, 0xBE, 0x7F, 0x3F, 0x7A, 0x2B, 0xD7, 0x13 ),
688 BYTES_TO_T_UINT_8( 0xCF, 0x32, 0xF2, 0x2D, 0x94, 0x6D, 0x42, 0xFD ),
689 BYTES_TO_T_UINT_8( 0xAD, 0x9A, 0xE3, 0x5F, 0x42, 0xBB, 0x84, 0xED ),
690};
691static const mbedtls_mpi_uint secp256r1_T_6_Y[] = {
692 BYTES_TO_T_UINT_8( 0xFC, 0x95, 0x29, 0x73, 0xA1, 0x67, 0x3E, 0x02 ),
693 BYTES_TO_T_UINT_8( 0xE3, 0x30, 0x54, 0x35, 0x8E, 0x0A, 0xDD, 0x67 ),
694 BYTES_TO_T_UINT_8( 0x03, 0xD7, 0xA1, 0x97, 0x61, 0x3B, 0xF8, 0x0C ),
695 BYTES_TO_T_UINT_8( 0xF2, 0x33, 0x3C, 0x58, 0x55, 0x34, 0x23, 0xA3 ),
696};
697static const mbedtls_mpi_uint secp256r1_T_7_X[] = {
698 BYTES_TO_T_UINT_8( 0x99, 0x5D, 0x16, 0x5F, 0x7B, 0xBC, 0xBB, 0xCE ),
699 BYTES_TO_T_UINT_8( 0x61, 0xEE, 0x4E, 0x8A, 0xC1, 0x51, 0xCC, 0x50 ),
700 BYTES_TO_T_UINT_8( 0x1F, 0x0D, 0x4D, 0x1B, 0x53, 0x23, 0x1D, 0xB3 ),
701 BYTES_TO_T_UINT_8( 0xDA, 0x2A, 0x38, 0x66, 0x52, 0x84, 0xE1, 0x95 ),
702};
703static const mbedtls_mpi_uint secp256r1_T_7_Y[] = {
704 BYTES_TO_T_UINT_8( 0x5B, 0x9B, 0x83, 0x0A, 0x81, 0x4F, 0xAD, 0xAC ),
705 BYTES_TO_T_UINT_8( 0x0F, 0xFF, 0x42, 0x41, 0x6E, 0xA9, 0xA2, 0xA0 ),
706 BYTES_TO_T_UINT_8( 0x2F, 0xA1, 0x4F, 0x1F, 0x89, 0x82, 0xAA, 0x3E ),
707 BYTES_TO_T_UINT_8( 0xF3, 0xB8, 0x0F, 0x6B, 0x8F, 0x8C, 0xD6, 0x68 ),
708};
709static const mbedtls_mpi_uint secp256r1_T_8_X[] = {
710 BYTES_TO_T_UINT_8( 0xF1, 0xB3, 0xBB, 0x51, 0x69, 0xA2, 0x11, 0x93 ),
711 BYTES_TO_T_UINT_8( 0x65, 0x4F, 0x0F, 0x8D, 0xBD, 0x26, 0x0F, 0xE8 ),
712 BYTES_TO_T_UINT_8( 0xB9, 0xCB, 0xEC, 0x6B, 0x34, 0xC3, 0x3D, 0x9D ),
713 BYTES_TO_T_UINT_8( 0xE4, 0x5D, 0x1E, 0x10, 0xD5, 0x44, 0xE2, 0x54 ),
714};
715static const mbedtls_mpi_uint secp256r1_T_8_Y[] = {
716 BYTES_TO_T_UINT_8( 0x28, 0x9E, 0xB1, 0xF1, 0x6E, 0x4C, 0xAD, 0xB3 ),
717 BYTES_TO_T_UINT_8( 0xB7, 0xE3, 0xC2, 0x58, 0xC0, 0xFB, 0x34, 0x43 ),
718 BYTES_TO_T_UINT_8( 0x25, 0x9C, 0xDF, 0x35, 0x07, 0x41, 0xBD, 0x19 ),
719 BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x10, 0xEC, 0x0E, 0xEC, 0xBB, 0xD6 ),
720};
721static const mbedtls_mpi_uint secp256r1_T_9_X[] = {
722 BYTES_TO_T_UINT_8( 0xC8, 0xCF, 0xEF, 0x3F, 0x83, 0x1A, 0x88, 0xE8 ),
723 BYTES_TO_T_UINT_8( 0x0B, 0x29, 0xB5, 0xB9, 0xE0, 0xC9, 0xA3, 0xAE ),
724 BYTES_TO_T_UINT_8( 0x88, 0x46, 0x1E, 0x77, 0xCD, 0x7E, 0xB3, 0x10 ),
725 BYTES_TO_T_UINT_8( 0xB6, 0x21, 0xD0, 0xD4, 0xA3, 0x16, 0x08, 0xEE ),
726};
727static const mbedtls_mpi_uint secp256r1_T_9_Y[] = {
728 BYTES_TO_T_UINT_8( 0xA1, 0xCA, 0xA8, 0xB3, 0xBF, 0x29, 0x99, 0x8E ),
729 BYTES_TO_T_UINT_8( 0xD1, 0xF2, 0x05, 0xC1, 0xCF, 0x5D, 0x91, 0x48 ),
730 BYTES_TO_T_UINT_8( 0x9F, 0x01, 0x49, 0xDB, 0x82, 0xDF, 0x5F, 0x3A ),
731 BYTES_TO_T_UINT_8( 0xE1, 0x06, 0x90, 0xAD, 0xE3, 0x38, 0xA4, 0xC4 ),
732};
733static const mbedtls_mpi_uint secp256r1_T_10_X[] = {
734 BYTES_TO_T_UINT_8( 0xC9, 0xD2, 0x3A, 0xE8, 0x03, 0xC5, 0x6D, 0x5D ),
735 BYTES_TO_T_UINT_8( 0xBE, 0x35, 0xD0, 0xAE, 0x1D, 0x7A, 0x9F, 0xCA ),
736 BYTES_TO_T_UINT_8( 0x33, 0x1E, 0xD2, 0xCB, 0xAC, 0x88, 0x27, 0x55 ),
737 BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x9C, 0xE0, 0x31, 0xDD, 0x99, 0x86 ),
738};
739static const mbedtls_mpi_uint secp256r1_T_10_Y[] = {
740 BYTES_TO_T_UINT_8( 0x61, 0xF9, 0x9B, 0x32, 0x96, 0x41, 0x58, 0x38 ),
741 BYTES_TO_T_UINT_8( 0xF9, 0x5A, 0x2A, 0xB8, 0x96, 0x0E, 0xB2, 0x4C ),
742 BYTES_TO_T_UINT_8( 0xC1, 0x78, 0x2C, 0xC7, 0x08, 0x99, 0x19, 0x24 ),
743 BYTES_TO_T_UINT_8( 0xB7, 0x59, 0x28, 0xE9, 0x84, 0x54, 0xE6, 0x16 ),
744};
745static const mbedtls_mpi_uint secp256r1_T_11_X[] = {
746 BYTES_TO_T_UINT_8( 0xDD, 0x38, 0x30, 0xDB, 0x70, 0x2C, 0x0A, 0xA2 ),
747 BYTES_TO_T_UINT_8( 0x7C, 0x5C, 0x9D, 0xE9, 0xD5, 0x46, 0x0B, 0x5F ),
748 BYTES_TO_T_UINT_8( 0x83, 0x0B, 0x60, 0x4B, 0x37, 0x7D, 0xB9, 0xC9 ),
749 BYTES_TO_T_UINT_8( 0x5E, 0x24, 0xF3, 0x3D, 0x79, 0x7F, 0x6C, 0x18 ),
750};
751static const mbedtls_mpi_uint secp256r1_T_11_Y[] = {
752 BYTES_TO_T_UINT_8( 0x7F, 0xE5, 0x1C, 0x4F, 0x60, 0x24, 0xF7, 0x2A ),
753 BYTES_TO_T_UINT_8( 0xED, 0xD8, 0xE2, 0x91, 0x7F, 0x89, 0x49, 0x92 ),
754 BYTES_TO_T_UINT_8( 0x97, 0xA7, 0x2E, 0x8D, 0x6A, 0xB3, 0x39, 0x81 ),
755 BYTES_TO_T_UINT_8( 0x13, 0x89, 0xB5, 0x9A, 0xB8, 0x8D, 0x42, 0x9C ),
756};
757static const mbedtls_mpi_uint secp256r1_T_12_X[] = {
758 BYTES_TO_T_UINT_8( 0x8D, 0x45, 0xE6, 0x4B, 0x3F, 0x4F, 0x1E, 0x1F ),
759 BYTES_TO_T_UINT_8( 0x47, 0x65, 0x5E, 0x59, 0x22, 0xCC, 0x72, 0x5F ),
760 BYTES_TO_T_UINT_8( 0xF1, 0x93, 0x1A, 0x27, 0x1E, 0x34, 0xC5, 0x5B ),
761 BYTES_TO_T_UINT_8( 0x63, 0xF2, 0xA5, 0x58, 0x5C, 0x15, 0x2E, 0xC6 ),
762};
763static const mbedtls_mpi_uint secp256r1_T_12_Y[] = {
764 BYTES_TO_T_UINT_8( 0xF4, 0x7F, 0xBA, 0x58, 0x5A, 0x84, 0x6F, 0x5F ),
765 BYTES_TO_T_UINT_8( 0xAD, 0xA6, 0x36, 0x7E, 0xDC, 0xF7, 0xE1, 0x67 ),
766 BYTES_TO_T_UINT_8( 0x04, 0x4D, 0xAA, 0xEE, 0x57, 0x76, 0x3A, 0xD3 ),
767 BYTES_TO_T_UINT_8( 0x4E, 0x7E, 0x26, 0x18, 0x22, 0x23, 0x9F, 0xFF ),
768};
769static const mbedtls_mpi_uint secp256r1_T_13_X[] = {
770 BYTES_TO_T_UINT_8( 0x1D, 0x4C, 0x64, 0xC7, 0x55, 0x02, 0x3F, 0xE3 ),
771 BYTES_TO_T_UINT_8( 0xD8, 0x02, 0x90, 0xBB, 0xC3, 0xEC, 0x30, 0x40 ),
772 BYTES_TO_T_UINT_8( 0x9F, 0x6F, 0x64, 0xF4, 0x16, 0x69, 0x48, 0xA4 ),
773 BYTES_TO_T_UINT_8( 0xFA, 0x44, 0x9C, 0x95, 0x0C, 0x7D, 0x67, 0x5E ),
774};
775static const mbedtls_mpi_uint secp256r1_T_13_Y[] = {
776 BYTES_TO_T_UINT_8( 0x44, 0x91, 0x8B, 0xD8, 0xD0, 0xD7, 0xE7, 0xE2 ),
777 BYTES_TO_T_UINT_8( 0x1F, 0xF9, 0x48, 0x62, 0x6F, 0xA8, 0x93, 0x5D ),
778 BYTES_TO_T_UINT_8( 0xEA, 0x3A, 0x99, 0x02, 0xD5, 0x0B, 0x3D, 0xE3 ),
779 BYTES_TO_T_UINT_8( 0x1E, 0xD3, 0x00, 0x31, 0xE6, 0x0C, 0x9F, 0x44 ),
780};
781static const mbedtls_mpi_uint secp256r1_T_14_X[] = {
782 BYTES_TO_T_UINT_8( 0x56, 0xB2, 0xAA, 0xFD, 0x88, 0x15, 0xDF, 0x52 ),
783 BYTES_TO_T_UINT_8( 0x4C, 0x35, 0x27, 0x31, 0x44, 0xCD, 0xC0, 0x68 ),
784 BYTES_TO_T_UINT_8( 0x53, 0xF8, 0x91, 0xA5, 0x71, 0x94, 0x84, 0x2A ),
785 BYTES_TO_T_UINT_8( 0x92, 0xCB, 0xD0, 0x93, 0xE9, 0x88, 0xDA, 0xE4 ),
786};
787static const mbedtls_mpi_uint secp256r1_T_14_Y[] = {
788 BYTES_TO_T_UINT_8( 0x24, 0xC6, 0x39, 0x16, 0x5D, 0xA3, 0x1E, 0x6D ),
789 BYTES_TO_T_UINT_8( 0xBA, 0x07, 0x37, 0x26, 0x36, 0x2A, 0xFE, 0x60 ),
790 BYTES_TO_T_UINT_8( 0x51, 0xBC, 0xF3, 0xD0, 0xDE, 0x50, 0xFC, 0x97 ),
791 BYTES_TO_T_UINT_8( 0x80, 0x2E, 0x06, 0x10, 0x15, 0x4D, 0xFA, 0xF7 ),
792};
793static const mbedtls_mpi_uint secp256r1_T_15_X[] = {
794 BYTES_TO_T_UINT_8( 0x27, 0x65, 0x69, 0x5B, 0x66, 0xA2, 0x75, 0x2E ),
795 BYTES_TO_T_UINT_8( 0x9C, 0x16, 0x00, 0x5A, 0xB0, 0x30, 0x25, 0x1A ),
796 BYTES_TO_T_UINT_8( 0x42, 0xFB, 0x86, 0x42, 0x80, 0xC1, 0xC4, 0x76 ),
797 BYTES_TO_T_UINT_8( 0x5B, 0x1D, 0x83, 0x8E, 0x94, 0x01, 0x5F, 0x82 ),
798};
799static const mbedtls_mpi_uint secp256r1_T_15_Y[] = {
800 BYTES_TO_T_UINT_8( 0x39, 0x37, 0x70, 0xEF, 0x1F, 0xA1, 0xF0, 0xDB ),
801 BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x5B, 0xCE, 0xC4, 0x9B, 0x6F, 0x10 ),
802 BYTES_TO_T_UINT_8( 0x50, 0x11, 0x11, 0x24, 0x4F, 0x4C, 0x79, 0x61 ),
803 BYTES_TO_T_UINT_8( 0x17, 0x3A, 0x72, 0xBC, 0xFE, 0x72, 0x58, 0x43 ),
804};
805static const mbedtls_ecp_point secp256r1_T[16] = {
806 ECP_POINT_INIT_XY_Z1(secp256r1_T_0_X, secp256r1_T_0_Y),
807 ECP_POINT_INIT_XY_Z0(secp256r1_T_1_X, secp256r1_T_1_Y),
808 ECP_POINT_INIT_XY_Z0(secp256r1_T_2_X, secp256r1_T_2_Y),
809 ECP_POINT_INIT_XY_Z0(secp256r1_T_3_X, secp256r1_T_3_Y),
810 ECP_POINT_INIT_XY_Z0(secp256r1_T_4_X, secp256r1_T_4_Y),
811 ECP_POINT_INIT_XY_Z0(secp256r1_T_5_X, secp256r1_T_5_Y),
812 ECP_POINT_INIT_XY_Z0(secp256r1_T_6_X, secp256r1_T_6_Y),
813 ECP_POINT_INIT_XY_Z0(secp256r1_T_7_X, secp256r1_T_7_Y),
814 ECP_POINT_INIT_XY_Z0(secp256r1_T_8_X, secp256r1_T_8_Y),
815 ECP_POINT_INIT_XY_Z0(secp256r1_T_9_X, secp256r1_T_9_Y),
816 ECP_POINT_INIT_XY_Z0(secp256r1_T_10_X, secp256r1_T_10_Y),
817 ECP_POINT_INIT_XY_Z0(secp256r1_T_11_X, secp256r1_T_11_Y),
818 ECP_POINT_INIT_XY_Z0(secp256r1_T_12_X, secp256r1_T_12_Y),
819 ECP_POINT_INIT_XY_Z0(secp256r1_T_13_X, secp256r1_T_13_Y),
820 ECP_POINT_INIT_XY_Z0(secp256r1_T_14_X, secp256r1_T_14_Y),
821 ECP_POINT_INIT_XY_Z0(secp256r1_T_15_X, secp256r1_T_15_Y),
822};
823#else
824#define secp256r1_T NULL
825#endif
826
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200827#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100828
829/*
830 * Domain parameters for secp384r1
831 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200832#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
833static const mbedtls_mpi_uint secp384r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100834 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
835 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
836 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
837 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
838 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
839 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100840};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200841static const mbedtls_mpi_uint secp384r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100842 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
843 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
844 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
845 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
846 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
847 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100848};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200849static const mbedtls_mpi_uint secp384r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100850 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
851 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
852 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
853 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
854 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
855 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100856};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200857static const mbedtls_mpi_uint secp384r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100858 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
859 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
860 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
861 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
862 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
863 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100864};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200865static const mbedtls_mpi_uint secp384r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100866 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
867 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
868 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
869 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
870 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
871 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100872};
kXuanba9cb762021-04-08 14:32:06 +0800873#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
874static const mbedtls_mpi_uint secp384r1_T_0_X[] = {
875 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
876 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
877 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
878 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
879 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
880 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
881};
882static const mbedtls_mpi_uint secp384r1_T_0_Y[] = {
883 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
884 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
885 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
886 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
887 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
888 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
889};
890static const mbedtls_mpi_uint secp384r1_T_1_X[] = {
891 BYTES_TO_T_UINT_8( 0x46, 0x92, 0x00, 0x2C, 0x78, 0xDB, 0x1F, 0x37 ),
892 BYTES_TO_T_UINT_8( 0x17, 0xF3, 0xEB, 0xB7, 0x06, 0xF7, 0xB6, 0xBC ),
893 BYTES_TO_T_UINT_8( 0x3D, 0xBC, 0x2C, 0xCF, 0xD8, 0xED, 0x53, 0xE7 ),
894 BYTES_TO_T_UINT_8( 0x52, 0x75, 0x7B, 0xA3, 0xAB, 0xC3, 0x2C, 0x85 ),
895 BYTES_TO_T_UINT_8( 0xE5, 0x9D, 0x78, 0x41, 0xF6, 0x76, 0x84, 0xAC ),
896 BYTES_TO_T_UINT_8( 0x54, 0x56, 0xE8, 0x52, 0xB3, 0xCB, 0xA8, 0xBD ),
897};
898static const mbedtls_mpi_uint secp384r1_T_1_Y[] = {
899 BYTES_TO_T_UINT_8( 0x6D, 0xF2, 0xAE, 0xA4, 0xB6, 0x89, 0x1B, 0xDA ),
900 BYTES_TO_T_UINT_8( 0x01, 0x0F, 0xCE, 0x1C, 0x7C, 0xF6, 0x50, 0x4C ),
901 BYTES_TO_T_UINT_8( 0x4C, 0xEB, 0x90, 0xE6, 0x4D, 0xC7, 0xD4, 0x7A ),
902 BYTES_TO_T_UINT_8( 0xD1, 0x49, 0x2D, 0x8A, 0x01, 0x99, 0x60, 0x94 ),
903 BYTES_TO_T_UINT_8( 0x5F, 0x80, 0x9B, 0x9B, 0x6A, 0xB0, 0x07, 0xD9 ),
904 BYTES_TO_T_UINT_8( 0xC2, 0xA2, 0xEE, 0x59, 0xBE, 0x95, 0xBC, 0x23 ),
905};
906static const mbedtls_mpi_uint secp384r1_T_2_X[] = {
907 BYTES_TO_T_UINT_8( 0xE6, 0x9D, 0x56, 0xAE, 0x59, 0xFB, 0x1F, 0x98 ),
908 BYTES_TO_T_UINT_8( 0xCF, 0xAC, 0x91, 0x80, 0x87, 0xA8, 0x6E, 0x58 ),
909 BYTES_TO_T_UINT_8( 0x30, 0x08, 0xA7, 0x08, 0x94, 0x32, 0xFC, 0x67 ),
910 BYTES_TO_T_UINT_8( 0x9F, 0x29, 0x9E, 0x84, 0xF4, 0xE5, 0x6E, 0x7E ),
911 BYTES_TO_T_UINT_8( 0x55, 0x21, 0xB9, 0x50, 0x24, 0xF8, 0x9C, 0xC7 ),
912 BYTES_TO_T_UINT_8( 0x34, 0x04, 0x01, 0xC2, 0xFB, 0x77, 0x3E, 0xDE ),
913};
914static const mbedtls_mpi_uint secp384r1_T_2_Y[] = {
915 BYTES_TO_T_UINT_8( 0x00, 0x38, 0xEE, 0xE3, 0xC7, 0x9D, 0xEC, 0xA6 ),
916 BYTES_TO_T_UINT_8( 0xB6, 0x88, 0xCF, 0x43, 0xFA, 0x92, 0x5E, 0x8E ),
917 BYTES_TO_T_UINT_8( 0xE9, 0xCA, 0x43, 0xF8, 0x3B, 0x49, 0x7E, 0x75 ),
918 BYTES_TO_T_UINT_8( 0x1C, 0xE7, 0xEB, 0x17, 0x45, 0x86, 0xC2, 0xE1 ),
919 BYTES_TO_T_UINT_8( 0x92, 0x69, 0x57, 0x32, 0xE0, 0x9C, 0xD1, 0x00 ),
920 BYTES_TO_T_UINT_8( 0xD9, 0x10, 0xB8, 0x4D, 0xB8, 0xF4, 0x0D, 0xE3 ),
921};
922static const mbedtls_mpi_uint secp384r1_T_3_X[] = {
923 BYTES_TO_T_UINT_8( 0x60, 0xDC, 0x9A, 0xB2, 0x79, 0x39, 0x27, 0x16 ),
924 BYTES_TO_T_UINT_8( 0x4F, 0x71, 0xE4, 0x3B, 0x4D, 0x60, 0x0C, 0xA3 ),
925 BYTES_TO_T_UINT_8( 0x55, 0xBD, 0x19, 0x40, 0xFA, 0x19, 0x2A, 0x5A ),
926 BYTES_TO_T_UINT_8( 0x4D, 0xF8, 0x1E, 0x43, 0xA1, 0x50, 0x8D, 0xEF ),
927 BYTES_TO_T_UINT_8( 0xA3, 0x18, 0x7C, 0x41, 0xFA, 0x7C, 0x1B, 0x58 ),
928 BYTES_TO_T_UINT_8( 0x00, 0x59, 0x24, 0xC4, 0xE9, 0xB7, 0xD3, 0xAD ),
929};
930static const mbedtls_mpi_uint secp384r1_T_3_Y[] = {
931 BYTES_TO_T_UINT_8( 0xBB, 0x01, 0x3D, 0x63, 0x54, 0x45, 0x6F, 0xB7 ),
932 BYTES_TO_T_UINT_8( 0x7B, 0xB2, 0x19, 0xA3, 0x86, 0x1D, 0x42, 0x34 ),
933 BYTES_TO_T_UINT_8( 0x84, 0x02, 0x87, 0x18, 0x92, 0x52, 0x1A, 0x71 ),
934 BYTES_TO_T_UINT_8( 0x6C, 0x18, 0xB1, 0x5D, 0x18, 0x1B, 0x37, 0xFE ),
935 BYTES_TO_T_UINT_8( 0xF4, 0x74, 0x61, 0xBA, 0x18, 0xAF, 0x40, 0x30 ),
936 BYTES_TO_T_UINT_8( 0xDA, 0x7D, 0x3C, 0x52, 0x0F, 0x07, 0xB0, 0x6F ),
937};
938static const mbedtls_mpi_uint secp384r1_T_4_X[] = {
939 BYTES_TO_T_UINT_8( 0x09, 0x39, 0x13, 0xAA, 0x60, 0x15, 0x99, 0x30 ),
940 BYTES_TO_T_UINT_8( 0x17, 0x00, 0xCB, 0xC6, 0xB1, 0xDB, 0x97, 0x90 ),
941 BYTES_TO_T_UINT_8( 0xE6, 0xFA, 0x60, 0xB8, 0x24, 0xE4, 0x7D, 0xD3 ),
942 BYTES_TO_T_UINT_8( 0xDD, 0x75, 0xB3, 0x70, 0xB2, 0x83, 0xB1, 0x9B ),
943 BYTES_TO_T_UINT_8( 0xA3, 0xE3, 0x6C, 0xCD, 0x33, 0x62, 0x7A, 0x56 ),
944 BYTES_TO_T_UINT_8( 0x88, 0x30, 0xDC, 0x0F, 0x9F, 0xBB, 0xB8, 0xAA ),
945};
946static const mbedtls_mpi_uint secp384r1_T_4_Y[] = {
947 BYTES_TO_T_UINT_8( 0xA6, 0xD5, 0x0A, 0x60, 0x81, 0xB9, 0xC5, 0x16 ),
948 BYTES_TO_T_UINT_8( 0x44, 0xAA, 0x2F, 0xD6, 0xF2, 0x73, 0xDF, 0xEB ),
949 BYTES_TO_T_UINT_8( 0xF3, 0x7B, 0x74, 0xC9, 0xB3, 0x5B, 0x95, 0x6D ),
950 BYTES_TO_T_UINT_8( 0xAC, 0x04, 0xEB, 0x15, 0xC8, 0x5F, 0x00, 0xF6 ),
951 BYTES_TO_T_UINT_8( 0xB5, 0x50, 0x20, 0x28, 0xD1, 0x01, 0xAF, 0xF0 ),
952 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x4F, 0x31, 0x81, 0x2F, 0x94, 0x48 ),
953};
954static const mbedtls_mpi_uint secp384r1_T_5_X[] = {
955 BYTES_TO_T_UINT_8( 0x46, 0x2F, 0xD8, 0xB6, 0x63, 0x7C, 0xE9, 0x50 ),
956 BYTES_TO_T_UINT_8( 0xD9, 0x8C, 0xB9, 0x14, 0xD9, 0x37, 0x63, 0xDE ),
957 BYTES_TO_T_UINT_8( 0x10, 0x02, 0xB8, 0x46, 0xAD, 0xCE, 0x7B, 0x38 ),
958 BYTES_TO_T_UINT_8( 0x82, 0x47, 0x2D, 0x66, 0xA7, 0xE9, 0x33, 0x23 ),
959 BYTES_TO_T_UINT_8( 0x92, 0xF9, 0x93, 0x94, 0xA8, 0x48, 0xB3, 0x4F ),
960 BYTES_TO_T_UINT_8( 0xE9, 0x4A, 0xAC, 0x51, 0x08, 0x72, 0x2F, 0x1A ),
961};
962static const mbedtls_mpi_uint secp384r1_T_5_Y[] = {
963 BYTES_TO_T_UINT_8( 0xDA, 0xAD, 0xA0, 0xF9, 0x81, 0xE1, 0x78, 0x97 ),
964 BYTES_TO_T_UINT_8( 0x3A, 0x9A, 0x63, 0xD8, 0xBA, 0x79, 0x1A, 0x17 ),
965 BYTES_TO_T_UINT_8( 0x34, 0x31, 0x7B, 0x7A, 0x5A, 0x5D, 0x7D, 0x2D ),
966 BYTES_TO_T_UINT_8( 0x83, 0x96, 0x12, 0x4B, 0x19, 0x09, 0xE0, 0xB7 ),
967 BYTES_TO_T_UINT_8( 0x55, 0x8A, 0x57, 0xEE, 0x4E, 0x6E, 0x7E, 0xEC ),
968 BYTES_TO_T_UINT_8( 0x11, 0x9D, 0x69, 0xDC, 0xB3, 0xDA, 0xD8, 0x08 ),
969};
970static const mbedtls_mpi_uint secp384r1_T_6_X[] = {
971 BYTES_TO_T_UINT_8( 0x68, 0x49, 0x03, 0x03, 0x33, 0x6F, 0x28, 0x4A ),
972 BYTES_TO_T_UINT_8( 0x5D, 0xDB, 0xA7, 0x05, 0x8C, 0xF3, 0x4D, 0xFB ),
973 BYTES_TO_T_UINT_8( 0x8E, 0x92, 0xB1, 0xA8, 0xEC, 0x0D, 0x64, 0x3B ),
974 BYTES_TO_T_UINT_8( 0x4E, 0xFC, 0xFD, 0xD0, 0x4B, 0x88, 0x1B, 0x5D ),
975 BYTES_TO_T_UINT_8( 0x83, 0x9C, 0x51, 0x69, 0xCE, 0x71, 0x73, 0xF5 ),
976 BYTES_TO_T_UINT_8( 0xB8, 0x5A, 0x14, 0x23, 0x1A, 0x46, 0x63, 0x5F ),
977};
978static const mbedtls_mpi_uint secp384r1_T_6_Y[] = {
979 BYTES_TO_T_UINT_8( 0xBC, 0x4C, 0x70, 0x44, 0x18, 0xCD, 0xEF, 0xED ),
980 BYTES_TO_T_UINT_8( 0xC2, 0x49, 0xDD, 0x64, 0x7E, 0x7E, 0x4D, 0x92 ),
981 BYTES_TO_T_UINT_8( 0xA2, 0x32, 0x7C, 0x09, 0xD0, 0x3F, 0xD6, 0x2C ),
982 BYTES_TO_T_UINT_8( 0x6D, 0xE0, 0x4F, 0x65, 0x0C, 0x7A, 0x54, 0x3E ),
983 BYTES_TO_T_UINT_8( 0x16, 0xFA, 0xFB, 0x4A, 0xB4, 0x79, 0x5A, 0x8C ),
984 BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x1B, 0x2B, 0xDA, 0xBC, 0x9A, 0x74 ),
985};
986static const mbedtls_mpi_uint secp384r1_T_7_X[] = {
987 BYTES_TO_T_UINT_8( 0x51, 0xAC, 0x56, 0xF7, 0x5F, 0x51, 0x68, 0x0B ),
988 BYTES_TO_T_UINT_8( 0xC6, 0xE0, 0x1D, 0xBC, 0x13, 0x4E, 0xAC, 0x03 ),
989 BYTES_TO_T_UINT_8( 0xB7, 0xF5, 0xC5, 0xE6, 0xD2, 0x88, 0xBA, 0xCB ),
990 BYTES_TO_T_UINT_8( 0xFA, 0x0E, 0x28, 0x23, 0x58, 0x67, 0xFA, 0xEE ),
991 BYTES_TO_T_UINT_8( 0x9E, 0x80, 0x4B, 0xD8, 0xC4, 0xDF, 0x15, 0xE4 ),
992 BYTES_TO_T_UINT_8( 0xF1, 0x0E, 0x58, 0xE6, 0x2C, 0x59, 0xC2, 0x03 ),
993};
994static const mbedtls_mpi_uint secp384r1_T_7_Y[] = {
995 BYTES_TO_T_UINT_8( 0x9B, 0x26, 0x27, 0x99, 0x16, 0x2B, 0x22, 0x0B ),
996 BYTES_TO_T_UINT_8( 0xBA, 0xF3, 0x8F, 0xC3, 0x2A, 0x9B, 0xFC, 0x38 ),
997 BYTES_TO_T_UINT_8( 0xFC, 0x2E, 0x83, 0x3D, 0xFE, 0x9E, 0x3C, 0x1B ),
998 BYTES_TO_T_UINT_8( 0x08, 0x57, 0xCD, 0x2D, 0xC1, 0x49, 0x38, 0xB5 ),
999 BYTES_TO_T_UINT_8( 0x95, 0x42, 0x8B, 0x33, 0x89, 0x1F, 0xEA, 0x01 ),
1000 BYTES_TO_T_UINT_8( 0xAA, 0x1D, 0x13, 0xD7, 0x50, 0xBB, 0x3E, 0xEB ),
1001};
1002static const mbedtls_mpi_uint secp384r1_T_8_X[] = {
1003 BYTES_TO_T_UINT_8( 0xD2, 0x9A, 0x52, 0xD2, 0x54, 0x7C, 0x97, 0xF2 ),
1004 BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x6E, 0xED, 0xD9, 0x87, 0x50, 0xC5 ),
1005 BYTES_TO_T_UINT_8( 0x5A, 0x35, 0x7E, 0x16, 0x40, 0x15, 0x83, 0xB8 ),
1006 BYTES_TO_T_UINT_8( 0x33, 0x2B, 0xA4, 0xAB, 0x03, 0x91, 0xEA, 0xFE ),
1007 BYTES_TO_T_UINT_8( 0xC1, 0x47, 0x39, 0xEF, 0x05, 0x59, 0xD0, 0x90 ),
1008 BYTES_TO_T_UINT_8( 0xBF, 0x24, 0x0D, 0x76, 0x11, 0x53, 0x08, 0xAF ),
1009};
1010static const mbedtls_mpi_uint secp384r1_T_8_Y[] = {
1011 BYTES_TO_T_UINT_8( 0x1F, 0x2F, 0xDD, 0xBD, 0x50, 0x48, 0xB1, 0xE5 ),
1012 BYTES_TO_T_UINT_8( 0x80, 0x1C, 0x84, 0x55, 0x78, 0x14, 0xEB, 0xF6 ),
1013 BYTES_TO_T_UINT_8( 0xD9, 0x5E, 0x3E, 0xA6, 0xAF, 0xF6, 0xC7, 0x04 ),
1014 BYTES_TO_T_UINT_8( 0xE7, 0x11, 0xE2, 0x65, 0xCA, 0x41, 0x95, 0x3B ),
1015 BYTES_TO_T_UINT_8( 0xAE, 0x83, 0xD8, 0xE6, 0x4D, 0x22, 0x06, 0x2D ),
1016 BYTES_TO_T_UINT_8( 0xFA, 0x7F, 0x25, 0x2A, 0xAA, 0x28, 0x46, 0x97 ),
1017};
1018static const mbedtls_mpi_uint secp384r1_T_9_X[] = {
1019 BYTES_TO_T_UINT_8( 0x79, 0xDB, 0x15, 0x56, 0x84, 0xCB, 0xC0, 0x56 ),
1020 BYTES_TO_T_UINT_8( 0x56, 0xDB, 0x0E, 0x08, 0xC9, 0xF5, 0xD4, 0x9E ),
1021 BYTES_TO_T_UINT_8( 0xE6, 0x62, 0xD0, 0x1A, 0x7C, 0x13, 0xD5, 0x07 ),
1022 BYTES_TO_T_UINT_8( 0x7D, 0xAD, 0x53, 0xE0, 0x32, 0x21, 0xA0, 0xC0 ),
1023 BYTES_TO_T_UINT_8( 0xC5, 0x38, 0x81, 0x21, 0x23, 0x0E, 0xD2, 0xBB ),
1024 BYTES_TO_T_UINT_8( 0x1C, 0x51, 0x05, 0xD0, 0x1E, 0x82, 0xA9, 0x71 ),
1025};
1026static const mbedtls_mpi_uint secp384r1_T_9_Y[] = {
1027 BYTES_TO_T_UINT_8( 0xA7, 0xC3, 0x27, 0xBF, 0xC6, 0xAA, 0xB7, 0xB9 ),
1028 BYTES_TO_T_UINT_8( 0xCB, 0x65, 0x45, 0xDF, 0xB9, 0x46, 0x17, 0x46 ),
1029 BYTES_TO_T_UINT_8( 0xF5, 0x38, 0x3F, 0xB2, 0xB1, 0x5D, 0xCA, 0x1C ),
1030 BYTES_TO_T_UINT_8( 0x88, 0x29, 0x6C, 0x63, 0xE9, 0xD7, 0x48, 0xB8 ),
1031 BYTES_TO_T_UINT_8( 0xBC, 0xF1, 0xD7, 0x99, 0x8C, 0xC2, 0x05, 0x99 ),
1032 BYTES_TO_T_UINT_8( 0x6D, 0xE6, 0x5E, 0x82, 0x6D, 0xE5, 0x7E, 0xD5 ),
1033};
1034static const mbedtls_mpi_uint secp384r1_T_10_X[] = {
1035 BYTES_TO_T_UINT_8( 0x7B, 0x61, 0xFA, 0x7D, 0x01, 0xDB, 0xB6, 0x63 ),
1036 BYTES_TO_T_UINT_8( 0x11, 0xC6, 0x58, 0x39, 0xF4, 0xC6, 0x82, 0x23 ),
1037 BYTES_TO_T_UINT_8( 0x47, 0x5A, 0x7A, 0x80, 0x08, 0xCD, 0xAA, 0xD8 ),
1038 BYTES_TO_T_UINT_8( 0xDA, 0x8C, 0xC6, 0x3F, 0x3C, 0xA5, 0x68, 0xF4 ),
1039 BYTES_TO_T_UINT_8( 0xBB, 0xF5, 0xD5, 0x17, 0xAE, 0x36, 0xD8, 0x8A ),
1040 BYTES_TO_T_UINT_8( 0xC7, 0xAD, 0x92, 0xC5, 0x57, 0x6C, 0xDA, 0x91 ),
1041};
1042static const mbedtls_mpi_uint secp384r1_T_10_Y[] = {
1043 BYTES_TO_T_UINT_8( 0xE8, 0x67, 0x17, 0xC0, 0x40, 0x78, 0x8C, 0x84 ),
1044 BYTES_TO_T_UINT_8( 0x7E, 0x9F, 0xF4, 0xAA, 0xDA, 0x5C, 0x7E, 0xB2 ),
1045 BYTES_TO_T_UINT_8( 0x96, 0xDB, 0x42, 0x3E, 0x72, 0x64, 0xA0, 0x67 ),
1046 BYTES_TO_T_UINT_8( 0x27, 0xF9, 0x41, 0x17, 0x43, 0xE3, 0xE8, 0xA8 ),
1047 BYTES_TO_T_UINT_8( 0x66, 0xDD, 0xCC, 0x43, 0x7E, 0x16, 0x05, 0x03 ),
1048 BYTES_TO_T_UINT_8( 0x36, 0x4B, 0xCF, 0x48, 0x8F, 0x41, 0x90, 0xE5 ),
1049};
1050static const mbedtls_mpi_uint secp384r1_T_11_X[] = {
1051 BYTES_TO_T_UINT_8( 0x98, 0x0C, 0x6B, 0x9D, 0x22, 0x04, 0xBC, 0x5C ),
1052 BYTES_TO_T_UINT_8( 0x86, 0x63, 0x79, 0x2F, 0x6A, 0x0E, 0x8A, 0xDE ),
1053 BYTES_TO_T_UINT_8( 0x29, 0x67, 0x3F, 0x02, 0xB8, 0x91, 0x7F, 0x74 ),
1054 BYTES_TO_T_UINT_8( 0xFC, 0x14, 0x64, 0xA0, 0x33, 0xF4, 0x6B, 0x50 ),
1055 BYTES_TO_T_UINT_8( 0x1C, 0x44, 0x71, 0x87, 0xB8, 0x88, 0x3F, 0x45 ),
1056 BYTES_TO_T_UINT_8( 0x1B, 0x2B, 0x85, 0x05, 0xC5, 0x44, 0x53, 0x15 ),
1057};
1058static const mbedtls_mpi_uint secp384r1_T_11_Y[] = {
1059 BYTES_TO_T_UINT_8( 0x3E, 0x2B, 0xFE, 0xD1, 0x1C, 0x73, 0xE3, 0x2E ),
1060 BYTES_TO_T_UINT_8( 0x66, 0x33, 0xA1, 0xD3, 0x69, 0x1C, 0x9D, 0xD2 ),
1061 BYTES_TO_T_UINT_8( 0xE0, 0x5A, 0xBA, 0xB6, 0xAE, 0x1B, 0x94, 0x04 ),
1062 BYTES_TO_T_UINT_8( 0xAF, 0x74, 0x90, 0x5C, 0x57, 0xB0, 0x3A, 0x45 ),
1063 BYTES_TO_T_UINT_8( 0xDD, 0x2F, 0x93, 0x20, 0x24, 0x54, 0x1D, 0x8D ),
1064 BYTES_TO_T_UINT_8( 0xFA, 0x78, 0x9D, 0x71, 0x67, 0x5D, 0x49, 0x98 ),
1065};
1066static const mbedtls_mpi_uint secp384r1_T_12_X[] = {
1067 BYTES_TO_T_UINT_8( 0x12, 0xC8, 0x0E, 0x11, 0x8D, 0xE0, 0x8F, 0x69 ),
1068 BYTES_TO_T_UINT_8( 0x59, 0x7F, 0x79, 0x6C, 0x5F, 0xB7, 0xBC, 0xB1 ),
1069 BYTES_TO_T_UINT_8( 0x88, 0xE1, 0x83, 0x3C, 0x12, 0xBB, 0xEE, 0x96 ),
1070 BYTES_TO_T_UINT_8( 0x2A, 0xC2, 0xC4, 0x1B, 0x41, 0x71, 0xB9, 0x17 ),
1071 BYTES_TO_T_UINT_8( 0xB0, 0xEE, 0xBB, 0x1D, 0x89, 0x50, 0x88, 0xF2 ),
1072 BYTES_TO_T_UINT_8( 0xFC, 0x1C, 0x55, 0x74, 0xEB, 0xDE, 0x92, 0x3F ),
1073};
1074static const mbedtls_mpi_uint secp384r1_T_12_Y[] = {
1075 BYTES_TO_T_UINT_8( 0x9C, 0x38, 0x92, 0x06, 0x19, 0xD0, 0xB3, 0xB2 ),
1076 BYTES_TO_T_UINT_8( 0x2A, 0x99, 0x26, 0xA3, 0x5F, 0xE2, 0xC1, 0x81 ),
1077 BYTES_TO_T_UINT_8( 0x75, 0xFC, 0xFD, 0xC3, 0xB6, 0x26, 0x24, 0x8F ),
1078 BYTES_TO_T_UINT_8( 0xAF, 0xAD, 0xE7, 0x49, 0xB7, 0x64, 0x4B, 0x96 ),
1079 BYTES_TO_T_UINT_8( 0x6C, 0x4E, 0x95, 0xAD, 0x07, 0xFE, 0xB6, 0x30 ),
1080 BYTES_TO_T_UINT_8( 0x4F, 0x15, 0xE7, 0x2D, 0x19, 0xA9, 0x08, 0x10 ),
1081};
1082static const mbedtls_mpi_uint secp384r1_T_13_X[] = {
1083 BYTES_TO_T_UINT_8( 0xBE, 0xBD, 0xAC, 0x0A, 0x3F, 0x6B, 0xFF, 0xFA ),
1084 BYTES_TO_T_UINT_8( 0xE0, 0xE4, 0x74, 0x14, 0xD9, 0x70, 0x1D, 0x71 ),
1085 BYTES_TO_T_UINT_8( 0xF2, 0xB0, 0x71, 0xBB, 0xD8, 0x18, 0x96, 0x2B ),
1086 BYTES_TO_T_UINT_8( 0xDA, 0xB8, 0x19, 0x90, 0x80, 0xB5, 0xEE, 0x01 ),
1087 BYTES_TO_T_UINT_8( 0x91, 0x21, 0x20, 0xA6, 0x17, 0x48, 0x03, 0x6F ),
1088 BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0xBB, 0x6D, 0x94, 0x20, 0x34, 0xF1 ),
1089};
1090static const mbedtls_mpi_uint secp384r1_T_13_Y[] = {
1091 BYTES_TO_T_UINT_8( 0x59, 0x82, 0x67, 0x4B, 0x8E, 0x4E, 0xBE, 0xE2 ),
1092 BYTES_TO_T_UINT_8( 0xBE, 0xDA, 0x77, 0xF8, 0x23, 0x55, 0x2B, 0x2D ),
1093 BYTES_TO_T_UINT_8( 0x5C, 0x02, 0xDE, 0x25, 0x35, 0x2D, 0x74, 0x51 ),
1094 BYTES_TO_T_UINT_8( 0xD0, 0x0C, 0xB8, 0x0B, 0x39, 0xBA, 0xAD, 0x04 ),
1095 BYTES_TO_T_UINT_8( 0xA6, 0x0E, 0x28, 0x4D, 0xE1, 0x3D, 0xE4, 0x1B ),
1096 BYTES_TO_T_UINT_8( 0x5D, 0xEC, 0x0A, 0xD4, 0xB8, 0xC4, 0x8D, 0xB0 ),
1097};
1098static const mbedtls_mpi_uint secp384r1_T_14_X[] = {
1099 BYTES_TO_T_UINT_8( 0x3E, 0x68, 0xCE, 0xC2, 0x55, 0x4D, 0x0C, 0x6D ),
1100 BYTES_TO_T_UINT_8( 0x9B, 0x20, 0x93, 0x32, 0x90, 0xD6, 0xAE, 0x47 ),
1101 BYTES_TO_T_UINT_8( 0xDD, 0x78, 0xAB, 0x43, 0x9E, 0xEB, 0x73, 0xAE ),
1102 BYTES_TO_T_UINT_8( 0xED, 0x97, 0xC3, 0x83, 0xA6, 0x3C, 0xF1, 0xBF ),
1103 BYTES_TO_T_UINT_8( 0x0F, 0x25, 0x25, 0x66, 0x08, 0x26, 0xFA, 0x4B ),
1104 BYTES_TO_T_UINT_8( 0x41, 0xFB, 0x44, 0x5D, 0x82, 0xEC, 0x3B, 0xAC ),
1105};
1106static const mbedtls_mpi_uint secp384r1_T_14_Y[] = {
1107 BYTES_TO_T_UINT_8( 0x58, 0x90, 0xEA, 0xB5, 0x04, 0x99, 0xD0, 0x69 ),
1108 BYTES_TO_T_UINT_8( 0x4A, 0xF2, 0x22, 0xA0, 0xEB, 0xFD, 0x45, 0x87 ),
1109 BYTES_TO_T_UINT_8( 0x5D, 0xA4, 0x81, 0x32, 0xFC, 0xFA, 0xEE, 0x5B ),
1110 BYTES_TO_T_UINT_8( 0x27, 0xBB, 0xA4, 0x6A, 0x77, 0x41, 0x5C, 0x1D ),
1111 BYTES_TO_T_UINT_8( 0xA1, 0x1E, 0xAA, 0x4F, 0xF0, 0x10, 0xB3, 0x50 ),
1112 BYTES_TO_T_UINT_8( 0x09, 0x74, 0x13, 0x14, 0x9E, 0x90, 0xD7, 0xE6 ),
1113};
1114static const mbedtls_mpi_uint secp384r1_T_15_X[] = {
1115 BYTES_TO_T_UINT_8( 0xDB, 0xBD, 0x70, 0x4F, 0xA8, 0xD1, 0x06, 0x2C ),
1116 BYTES_TO_T_UINT_8( 0x19, 0x4E, 0x2E, 0x68, 0xFC, 0x35, 0xFA, 0x50 ),
1117 BYTES_TO_T_UINT_8( 0x60, 0x53, 0x75, 0xED, 0xF2, 0x5F, 0xC2, 0xEB ),
1118 BYTES_TO_T_UINT_8( 0x39, 0x87, 0x6B, 0x9F, 0x05, 0xE2, 0x22, 0x93 ),
1119 BYTES_TO_T_UINT_8( 0x4F, 0x1A, 0xA8, 0xB7, 0x03, 0x9E, 0x6D, 0x7C ),
1120 BYTES_TO_T_UINT_8( 0xCB, 0xD0, 0x69, 0x88, 0xA8, 0x39, 0x9E, 0x3A ),
1121};
1122static const mbedtls_mpi_uint secp384r1_T_15_Y[] = {
1123 BYTES_TO_T_UINT_8( 0xF8, 0xEF, 0x68, 0xFE, 0xEC, 0x24, 0x08, 0x15 ),
1124 BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x4B, 0x92, 0x0D, 0xB7, 0x34, 0x74 ),
1125 BYTES_TO_T_UINT_8( 0x3E, 0xF4, 0xDD, 0x1A, 0xA0, 0x4A, 0xE4, 0x45 ),
1126 BYTES_TO_T_UINT_8( 0xC3, 0x63, 0x4F, 0x4F, 0xCE, 0xBB, 0xD6, 0xD3 ),
1127 BYTES_TO_T_UINT_8( 0xCD, 0xEE, 0x8D, 0xDF, 0x3F, 0x73, 0xB7, 0xAC ),
1128 BYTES_TO_T_UINT_8( 0xDF, 0x06, 0xB6, 0x80, 0x4D, 0x81, 0xD9, 0x53 ),
1129};
1130static const mbedtls_mpi_uint secp384r1_T_16_X[] = {
1131 BYTES_TO_T_UINT_8( 0x15, 0xF5, 0x13, 0xDF, 0x13, 0x19, 0x97, 0x94 ),
1132 BYTES_TO_T_UINT_8( 0x08, 0xF9, 0xB3, 0x33, 0x66, 0x82, 0x21, 0xFE ),
1133 BYTES_TO_T_UINT_8( 0xF5, 0xFC, 0x39, 0x16, 0x23, 0x43, 0x76, 0x0E ),
1134 BYTES_TO_T_UINT_8( 0x09, 0x48, 0x25, 0xA1, 0x64, 0x95, 0x1C, 0x2F ),
1135 BYTES_TO_T_UINT_8( 0x43, 0xAC, 0x15, 0x57, 0xD9, 0xDE, 0xA0, 0x28 ),
1136 BYTES_TO_T_UINT_8( 0x16, 0x5F, 0xB8, 0x3D, 0x48, 0x91, 0x24, 0xCC ),
1137};
1138static const mbedtls_mpi_uint secp384r1_T_16_Y[] = {
1139 BYTES_TO_T_UINT_8( 0x2D, 0xF2, 0xC8, 0x54, 0xD1, 0x32, 0xBD, 0xC4 ),
1140 BYTES_TO_T_UINT_8( 0x8A, 0x3B, 0xF0, 0xAA, 0x9D, 0xD8, 0xF4, 0x20 ),
1141 BYTES_TO_T_UINT_8( 0x4F, 0xC3, 0xBB, 0x6C, 0x66, 0xAC, 0x25, 0x2D ),
1142 BYTES_TO_T_UINT_8( 0x6F, 0x25, 0x10, 0xB2, 0xE1, 0x41, 0xDE, 0x1D ),
1143 BYTES_TO_T_UINT_8( 0x3C, 0xE8, 0x30, 0xB8, 0x37, 0xBC, 0x2A, 0x98 ),
1144 BYTES_TO_T_UINT_8( 0xBA, 0x57, 0x01, 0x4A, 0x1E, 0x78, 0x9F, 0x85 ),
1145};
1146static const mbedtls_mpi_uint secp384r1_T_17_X[] = {
1147 BYTES_TO_T_UINT_8( 0xBD, 0x19, 0xCD, 0x12, 0x0B, 0x51, 0x4F, 0x56 ),
1148 BYTES_TO_T_UINT_8( 0x30, 0x4B, 0x3D, 0x24, 0xA4, 0x16, 0x59, 0x05 ),
1149 BYTES_TO_T_UINT_8( 0xAC, 0xEB, 0xD3, 0x59, 0x2E, 0x75, 0x7C, 0x01 ),
1150 BYTES_TO_T_UINT_8( 0x8C, 0xB9, 0xB4, 0xA5, 0xD9, 0x2E, 0x29, 0x4C ),
1151 BYTES_TO_T_UINT_8( 0x86, 0x16, 0x05, 0x75, 0x02, 0xB3, 0x06, 0xEE ),
1152 BYTES_TO_T_UINT_8( 0xAB, 0x7C, 0x9F, 0x79, 0x91, 0xF1, 0x4F, 0x23 ),
1153};
1154static const mbedtls_mpi_uint secp384r1_T_17_Y[] = {
1155 BYTES_TO_T_UINT_8( 0x65, 0x98, 0x7C, 0x84, 0xE1, 0xFF, 0x30, 0x77 ),
1156 BYTES_TO_T_UINT_8( 0x71, 0xE2, 0xC2, 0x5F, 0x55, 0x40, 0xBD, 0xCD ),
1157 BYTES_TO_T_UINT_8( 0x69, 0x65, 0x87, 0x3F, 0xC4, 0xC2, 0x24, 0x57 ),
1158 BYTES_TO_T_UINT_8( 0x0E, 0x30, 0x0A, 0x60, 0x15, 0xD1, 0x24, 0x48 ),
1159 BYTES_TO_T_UINT_8( 0x57, 0x99, 0xD9, 0xB6, 0xAE, 0xB1, 0xAF, 0x1D ),
1160 BYTES_TO_T_UINT_8( 0x9B, 0x80, 0xEE, 0xA2, 0x0F, 0x74, 0xB9, 0xF3 ),
1161};
1162static const mbedtls_mpi_uint secp384r1_T_18_X[] = {
1163 BYTES_TO_T_UINT_8( 0x03, 0xE6, 0x0F, 0x37, 0xC1, 0x10, 0x99, 0x1E ),
1164 BYTES_TO_T_UINT_8( 0x61, 0xAD, 0x9D, 0x5D, 0x80, 0x01, 0xA6, 0xFE ),
1165 BYTES_TO_T_UINT_8( 0xB0, 0x0F, 0x10, 0x2A, 0x9D, 0x20, 0x38, 0xEB ),
1166 BYTES_TO_T_UINT_8( 0x6C, 0x60, 0xCB, 0xCE, 0x5A, 0xA0, 0xA7, 0x32 ),
1167 BYTES_TO_T_UINT_8( 0xBA, 0xCF, 0x14, 0xDF, 0xBF, 0xE5, 0x74, 0x2D ),
1168 BYTES_TO_T_UINT_8( 0xB5, 0x12, 0x1A, 0xDD, 0x59, 0x02, 0x5D, 0xC6 ),
1169};
1170static const mbedtls_mpi_uint secp384r1_T_18_Y[] = {
1171 BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0xF8, 0xF5, 0xB6, 0x13, 0x4D, 0x7B ),
1172 BYTES_TO_T_UINT_8( 0xED, 0x45, 0xB1, 0x93, 0xB3, 0xA2, 0x79, 0xDC ),
1173 BYTES_TO_T_UINT_8( 0x74, 0xF6, 0xCF, 0xF7, 0xE6, 0x29, 0x9C, 0xCC ),
1174 BYTES_TO_T_UINT_8( 0x87, 0x50, 0x65, 0x80, 0xBC, 0x59, 0x0A, 0x59 ),
1175 BYTES_TO_T_UINT_8( 0x0E, 0xF0, 0x24, 0x35, 0xA2, 0x46, 0xF0, 0x0C ),
1176 BYTES_TO_T_UINT_8( 0xBD, 0x26, 0xC0, 0x9D, 0x61, 0x56, 0x62, 0x67 ),
1177};
1178static const mbedtls_mpi_uint secp384r1_T_19_X[] = {
1179 BYTES_TO_T_UINT_8( 0x10, 0xBB, 0xC2, 0x24, 0x43, 0x2E, 0x37, 0x54 ),
1180 BYTES_TO_T_UINT_8( 0x8A, 0xF7, 0xCE, 0x35, 0xFC, 0x77, 0xF3, 0x3F ),
1181 BYTES_TO_T_UINT_8( 0x75, 0x34, 0x96, 0xD5, 0x4A, 0x76, 0x9D, 0x6B ),
1182 BYTES_TO_T_UINT_8( 0xB8, 0x3B, 0x0F, 0xEA, 0xA8, 0x12, 0x0B, 0x22 ),
1183 BYTES_TO_T_UINT_8( 0x66, 0x3F, 0x5D, 0x2D, 0x1C, 0xD4, 0x9E, 0xFB ),
1184 BYTES_TO_T_UINT_8( 0x7D, 0x2E, 0xDD, 0xC7, 0x6E, 0xAB, 0xAF, 0xDC ),
1185};
1186static const mbedtls_mpi_uint secp384r1_T_19_Y[] = {
1187 BYTES_TO_T_UINT_8( 0x8C, 0xB2, 0x7B, 0x0C, 0x9A, 0x83, 0x8E, 0x59 ),
1188 BYTES_TO_T_UINT_8( 0x30, 0x51, 0x90, 0x92, 0x79, 0x32, 0x19, 0xC3 ),
1189 BYTES_TO_T_UINT_8( 0xEE, 0x89, 0xF9, 0xD0, 0xCF, 0x2C, 0xA5, 0x8F ),
1190 BYTES_TO_T_UINT_8( 0x7B, 0x50, 0x21, 0xDE, 0x50, 0x41, 0x9D, 0x81 ),
1191 BYTES_TO_T_UINT_8( 0xE0, 0x7D, 0x2B, 0x9E, 0x9D, 0x95, 0xA8, 0xE3 ),
1192 BYTES_TO_T_UINT_8( 0xD8, 0xA5, 0x20, 0x87, 0x88, 0x97, 0x5F, 0xAA ),
1193};
1194static const mbedtls_mpi_uint secp384r1_T_20_X[] = {
1195 BYTES_TO_T_UINT_8( 0x64, 0x59, 0xB4, 0x66, 0x7E, 0xE8, 0x5A, 0x60 ),
1196 BYTES_TO_T_UINT_8( 0xA5, 0x5C, 0x7E, 0xB2, 0xAD, 0xD9, 0xC9, 0xDA ),
1197 BYTES_TO_T_UINT_8( 0x82, 0x97, 0x49, 0xA3, 0x13, 0x83, 0x07, 0x2E ),
1198 BYTES_TO_T_UINT_8( 0x5A, 0x26, 0xC7, 0x13, 0x35, 0x0D, 0xB0, 0x6B ),
1199 BYTES_TO_T_UINT_8( 0x1E, 0x60, 0xAB, 0xFA, 0x4B, 0x93, 0x18, 0x2C ),
1200 BYTES_TO_T_UINT_8( 0x54, 0x2D, 0x1C, 0x31, 0x4C, 0xE4, 0x61, 0xAE ),
1201};
1202static const mbedtls_mpi_uint secp384r1_T_20_Y[] = {
1203 BYTES_TO_T_UINT_8( 0xDE, 0x4D, 0x1E, 0x51, 0x59, 0x6E, 0x91, 0xC5 ),
1204 BYTES_TO_T_UINT_8( 0x38, 0x54, 0x4D, 0x51, 0xED, 0x36, 0xCC, 0x60 ),
1205 BYTES_TO_T_UINT_8( 0x18, 0xA8, 0x56, 0xC7, 0x78, 0x27, 0x33, 0xC5 ),
1206 BYTES_TO_T_UINT_8( 0x42, 0xB7, 0x95, 0xC9, 0x8B, 0xC8, 0x6A, 0xBC ),
1207 BYTES_TO_T_UINT_8( 0x5E, 0xE9, 0x13, 0x96, 0xB3, 0xE1, 0xF9, 0xEE ),
1208 BYTES_TO_T_UINT_8( 0xF5, 0x46, 0xB0, 0x5E, 0xC3, 0x94, 0x03, 0x05 ),
1209};
1210static const mbedtls_mpi_uint secp384r1_T_21_X[] = {
1211 BYTES_TO_T_UINT_8( 0x6D, 0x5B, 0x29, 0x30, 0x41, 0x1A, 0x9E, 0xB6 ),
1212 BYTES_TO_T_UINT_8( 0x76, 0xCA, 0x83, 0x31, 0x5B, 0xA7, 0xCB, 0x42 ),
1213 BYTES_TO_T_UINT_8( 0x21, 0x41, 0x50, 0x44, 0x4D, 0x64, 0x31, 0x89 ),
1214 BYTES_TO_T_UINT_8( 0xCF, 0x84, 0xC2, 0x5D, 0x97, 0xA5, 0x3C, 0x18 ),
1215 BYTES_TO_T_UINT_8( 0xF0, 0x0F, 0xA5, 0xFD, 0x8E, 0x5A, 0x47, 0x2C ),
1216 BYTES_TO_T_UINT_8( 0x7C, 0x58, 0x02, 0x2D, 0x40, 0xB1, 0x0B, 0xBA ),
1217};
1218static const mbedtls_mpi_uint secp384r1_T_21_Y[] = {
1219 BYTES_TO_T_UINT_8( 0xDA, 0x33, 0x8C, 0x67, 0xCE, 0x23, 0x43, 0x99 ),
1220 BYTES_TO_T_UINT_8( 0x84, 0x53, 0x47, 0x72, 0x44, 0x1F, 0x5B, 0x2A ),
1221 BYTES_TO_T_UINT_8( 0xAE, 0xC1, 0xD9, 0xA4, 0x50, 0x88, 0x63, 0x18 ),
1222 BYTES_TO_T_UINT_8( 0x7C, 0xF2, 0x75, 0x69, 0x73, 0x00, 0xC4, 0x31 ),
1223 BYTES_TO_T_UINT_8( 0x4B, 0x90, 0x1D, 0xDF, 0x1A, 0x00, 0xD8, 0x69 ),
1224 BYTES_TO_T_UINT_8( 0x05, 0xB1, 0x89, 0x48, 0xA8, 0x70, 0x62, 0xEF ),
1225};
1226static const mbedtls_mpi_uint secp384r1_T_22_X[] = {
1227 BYTES_TO_T_UINT_8( 0x7E, 0x8A, 0x55, 0x50, 0x7B, 0xEF, 0x8A, 0x3C ),
1228 BYTES_TO_T_UINT_8( 0xFE, 0x1B, 0x23, 0x48, 0x23, 0x63, 0x91, 0xB6 ),
1229 BYTES_TO_T_UINT_8( 0x0D, 0x04, 0x54, 0x3C, 0x24, 0x9B, 0xC7, 0x9A ),
1230 BYTES_TO_T_UINT_8( 0x25, 0x38, 0xC3, 0x84, 0xFB, 0xFF, 0x9F, 0x49 ),
1231 BYTES_TO_T_UINT_8( 0x66, 0x2A, 0xE0, 0x6D, 0x68, 0x8A, 0x5C, 0xCB ),
1232 BYTES_TO_T_UINT_8( 0xC4, 0x93, 0x53, 0x85, 0xA1, 0x0D, 0xAF, 0x63 ),
1233};
1234static const mbedtls_mpi_uint secp384r1_T_22_Y[] = {
1235 BYTES_TO_T_UINT_8( 0x1B, 0x88, 0x95, 0x4C, 0x0B, 0xD0, 0x06, 0x51 ),
1236 BYTES_TO_T_UINT_8( 0x92, 0xAF, 0x8D, 0x49, 0xA2, 0xC8, 0xB4, 0xE0 ),
1237 BYTES_TO_T_UINT_8( 0x75, 0x76, 0x53, 0x09, 0x88, 0x43, 0x87, 0xCA ),
1238 BYTES_TO_T_UINT_8( 0x90, 0xA4, 0x77, 0x3F, 0x5E, 0x21, 0xB4, 0x0A ),
1239 BYTES_TO_T_UINT_8( 0x35, 0x9E, 0x86, 0x64, 0xCC, 0x91, 0xC1, 0x77 ),
1240 BYTES_TO_T_UINT_8( 0xC1, 0x17, 0x56, 0xCB, 0xC3, 0x7D, 0x5B, 0xB1 ),
1241};
1242static const mbedtls_mpi_uint secp384r1_T_23_X[] = {
1243 BYTES_TO_T_UINT_8( 0x64, 0x74, 0x9F, 0xB5, 0x91, 0x21, 0xB1, 0x1C ),
1244 BYTES_TO_T_UINT_8( 0x1E, 0xED, 0xE1, 0x11, 0xEF, 0x45, 0xAF, 0xC1 ),
1245 BYTES_TO_T_UINT_8( 0xE0, 0x31, 0xBE, 0xB2, 0xBC, 0x72, 0x65, 0x1F ),
1246 BYTES_TO_T_UINT_8( 0xB1, 0x4B, 0x8C, 0x77, 0xCE, 0x1E, 0x42, 0xB5 ),
1247 BYTES_TO_T_UINT_8( 0xFF, 0xC9, 0xAA, 0xB9, 0xD9, 0x86, 0x99, 0x55 ),
1248 BYTES_TO_T_UINT_8( 0x65, 0x23, 0x80, 0xC6, 0x4E, 0x35, 0x0B, 0x6D ),
1249};
1250static const mbedtls_mpi_uint secp384r1_T_23_Y[] = {
1251 BYTES_TO_T_UINT_8( 0x47, 0xD8, 0xA2, 0x0A, 0x39, 0x32, 0x1D, 0x23 ),
1252 BYTES_TO_T_UINT_8( 0x61, 0xC8, 0x86, 0xF1, 0x12, 0x9A, 0x4A, 0x05 ),
1253 BYTES_TO_T_UINT_8( 0x8D, 0xF1, 0x7C, 0xAA, 0x70, 0x8E, 0xBC, 0x01 ),
1254 BYTES_TO_T_UINT_8( 0x62, 0x01, 0x47, 0x8F, 0xDD, 0x8B, 0xA5, 0xC8 ),
1255 BYTES_TO_T_UINT_8( 0xDB, 0x08, 0x21, 0xF4, 0xAB, 0xC7, 0xF5, 0x96 ),
1256 BYTES_TO_T_UINT_8( 0x0A, 0x76, 0xA5, 0x95, 0xC4, 0x0F, 0x88, 0x1D ),
1257};
1258static const mbedtls_mpi_uint secp384r1_T_24_X[] = {
1259 BYTES_TO_T_UINT_8( 0x3F, 0x42, 0x2A, 0x52, 0xCD, 0x75, 0x51, 0x49 ),
1260 BYTES_TO_T_UINT_8( 0x90, 0x36, 0xE5, 0x04, 0x2B, 0x44, 0xC6, 0xEF ),
1261 BYTES_TO_T_UINT_8( 0x5C, 0xEE, 0x16, 0x13, 0x07, 0x83, 0xB5, 0x30 ),
1262 BYTES_TO_T_UINT_8( 0x76, 0x59, 0xC6, 0xA2, 0x19, 0x05, 0xD3, 0xC6 ),
1263 BYTES_TO_T_UINT_8( 0xB6, 0x8B, 0xA8, 0x16, 0x09, 0xB7, 0xEA, 0xD6 ),
1264 BYTES_TO_T_UINT_8( 0x70, 0xEE, 0x14, 0xAF, 0xB5, 0xFD, 0xD0, 0xEF ),
1265};
1266static const mbedtls_mpi_uint secp384r1_T_24_Y[] = {
1267 BYTES_TO_T_UINT_8( 0x18, 0x7C, 0xCA, 0x71, 0x3E, 0x6E, 0x66, 0x75 ),
1268 BYTES_TO_T_UINT_8( 0xBE, 0x31, 0x0E, 0x3F, 0xE5, 0x91, 0xC4, 0x7F ),
1269 BYTES_TO_T_UINT_8( 0x8E, 0x3D, 0xC2, 0x3E, 0x95, 0x37, 0x58, 0x2B ),
1270 BYTES_TO_T_UINT_8( 0x01, 0x1F, 0x02, 0x03, 0xF3, 0xEF, 0xEE, 0x66 ),
1271 BYTES_TO_T_UINT_8( 0x28, 0x5B, 0x1A, 0xFC, 0x38, 0xCD, 0xE8, 0x24 ),
1272 BYTES_TO_T_UINT_8( 0x12, 0x57, 0x42, 0x85, 0xC6, 0x21, 0x68, 0x71 ),
1273};
1274static const mbedtls_mpi_uint secp384r1_T_25_X[] = {
1275 BYTES_TO_T_UINT_8( 0x8D, 0xA2, 0x4A, 0x66, 0xB1, 0x0A, 0xE6, 0xC0 ),
1276 BYTES_TO_T_UINT_8( 0x86, 0x0C, 0x94, 0x9D, 0x5E, 0x99, 0xB2, 0xCE ),
1277 BYTES_TO_T_UINT_8( 0xAD, 0x03, 0x40, 0xCA, 0xB2, 0xB3, 0x30, 0x55 ),
1278 BYTES_TO_T_UINT_8( 0x74, 0x78, 0x48, 0x27, 0x34, 0x1E, 0xE2, 0x42 ),
1279 BYTES_TO_T_UINT_8( 0xAE, 0x72, 0x5B, 0xAC, 0xC1, 0x6D, 0xE3, 0x82 ),
1280 BYTES_TO_T_UINT_8( 0x57, 0xAB, 0x46, 0xCB, 0xEA, 0x5E, 0x4B, 0x0B ),
1281};
1282static const mbedtls_mpi_uint secp384r1_T_25_Y[] = {
1283 BYTES_TO_T_UINT_8( 0xFC, 0x08, 0xAD, 0x4E, 0x51, 0x9F, 0x2A, 0x52 ),
1284 BYTES_TO_T_UINT_8( 0x68, 0x5C, 0x7D, 0x4C, 0xD6, 0xCF, 0xDD, 0x02 ),
1285 BYTES_TO_T_UINT_8( 0xD8, 0x76, 0x26, 0xE0, 0x8B, 0x10, 0xD9, 0x7C ),
1286 BYTES_TO_T_UINT_8( 0x30, 0xA7, 0x23, 0x4E, 0x5F, 0xD2, 0x42, 0x17 ),
1287 BYTES_TO_T_UINT_8( 0xD1, 0xE5, 0xA4, 0xEC, 0x77, 0x21, 0x34, 0x28 ),
1288 BYTES_TO_T_UINT_8( 0x5C, 0x14, 0x65, 0xEA, 0x4A, 0x85, 0xC3, 0x2F ),
1289};
1290static const mbedtls_mpi_uint secp384r1_T_26_X[] = {
1291 BYTES_TO_T_UINT_8( 0x19, 0xD8, 0x40, 0x27, 0x73, 0x15, 0x7E, 0x65 ),
1292 BYTES_TO_T_UINT_8( 0xF6, 0xBB, 0x53, 0x7E, 0x0F, 0x40, 0xC8, 0xD4 ),
1293 BYTES_TO_T_UINT_8( 0xEA, 0x37, 0x19, 0x73, 0xEF, 0x5A, 0x5E, 0x04 ),
1294 BYTES_TO_T_UINT_8( 0x9C, 0x73, 0x2B, 0x49, 0x7E, 0xAC, 0x97, 0x5C ),
1295 BYTES_TO_T_UINT_8( 0x15, 0xB2, 0xC3, 0x1E, 0x0E, 0xE7, 0xD2, 0x21 ),
1296 BYTES_TO_T_UINT_8( 0x8A, 0x08, 0xD6, 0xDD, 0xAC, 0x21, 0xD6, 0x3E ),
1297};
1298static const mbedtls_mpi_uint secp384r1_T_26_Y[] = {
1299 BYTES_TO_T_UINT_8( 0xA9, 0x26, 0xBE, 0x6D, 0x6D, 0xF2, 0x38, 0x3F ),
1300 BYTES_TO_T_UINT_8( 0x08, 0x6C, 0x31, 0xA7, 0x49, 0x50, 0x3A, 0x89 ),
1301 BYTES_TO_T_UINT_8( 0xC3, 0x99, 0xC6, 0xF5, 0xD2, 0xC2, 0x30, 0x5A ),
1302 BYTES_TO_T_UINT_8( 0x2A, 0xE4, 0xF6, 0x8B, 0x8B, 0x97, 0xE9, 0xB2 ),
1303 BYTES_TO_T_UINT_8( 0xDD, 0x21, 0xB7, 0x0D, 0xFC, 0x15, 0x54, 0x0B ),
1304 BYTES_TO_T_UINT_8( 0x65, 0x83, 0x1C, 0xA4, 0xCD, 0x6B, 0x9D, 0xF2 ),
1305};
1306static const mbedtls_mpi_uint secp384r1_T_27_X[] = {
1307 BYTES_TO_T_UINT_8( 0xD6, 0xE8, 0x4C, 0x48, 0xE4, 0xAA, 0x69, 0x93 ),
1308 BYTES_TO_T_UINT_8( 0x27, 0x7A, 0x27, 0xFC, 0x37, 0x96, 0x1A, 0x7B ),
1309 BYTES_TO_T_UINT_8( 0x6F, 0xE7, 0x30, 0xA5, 0xCF, 0x13, 0x46, 0x5C ),
1310 BYTES_TO_T_UINT_8( 0x8C, 0xD8, 0xAF, 0x74, 0x23, 0x4D, 0x56, 0x84 ),
1311 BYTES_TO_T_UINT_8( 0x32, 0x3D, 0x44, 0x14, 0x1B, 0x97, 0x83, 0xF0 ),
1312 BYTES_TO_T_UINT_8( 0xFA, 0x47, 0xD7, 0x5F, 0xFD, 0x98, 0x38, 0xF7 ),
1313};
1314static const mbedtls_mpi_uint secp384r1_T_27_Y[] = {
1315 BYTES_TO_T_UINT_8( 0xA3, 0x73, 0x64, 0x36, 0xFD, 0x7B, 0xC1, 0x15 ),
1316 BYTES_TO_T_UINT_8( 0xEA, 0x5D, 0x32, 0xD2, 0x47, 0x94, 0x89, 0x2D ),
1317 BYTES_TO_T_UINT_8( 0x51, 0xE9, 0x30, 0xAC, 0x06, 0xC8, 0x65, 0x04 ),
1318 BYTES_TO_T_UINT_8( 0xFA, 0x6C, 0xB9, 0x1B, 0xF7, 0x61, 0x49, 0x53 ),
1319 BYTES_TO_T_UINT_8( 0xD7, 0xFF, 0x32, 0x43, 0x80, 0xDA, 0xA6, 0xB1 ),
1320 BYTES_TO_T_UINT_8( 0xAC, 0xF8, 0x04, 0x01, 0x95, 0x35, 0xCE, 0x21 ),
1321};
1322static const mbedtls_mpi_uint secp384r1_T_28_X[] = {
1323 BYTES_TO_T_UINT_8( 0x6D, 0x06, 0x46, 0x0D, 0x51, 0xE2, 0xD8, 0xAC ),
1324 BYTES_TO_T_UINT_8( 0x14, 0x57, 0x1D, 0x6F, 0x79, 0xA0, 0xCD, 0xA6 ),
1325 BYTES_TO_T_UINT_8( 0xDF, 0xFB, 0x36, 0xCA, 0xAD, 0xF5, 0x9E, 0x41 ),
1326 BYTES_TO_T_UINT_8( 0x6F, 0x7A, 0x1D, 0x9E, 0x1D, 0x95, 0x48, 0xDC ),
1327 BYTES_TO_T_UINT_8( 0x81, 0x26, 0xA5, 0xB7, 0x15, 0x2C, 0xC2, 0xC6 ),
1328 BYTES_TO_T_UINT_8( 0x86, 0x42, 0x72, 0xAA, 0x11, 0xDC, 0xC9, 0xB6 ),
1329};
1330static const mbedtls_mpi_uint secp384r1_T_28_Y[] = {
1331 BYTES_TO_T_UINT_8( 0x3F, 0x6C, 0x64, 0xA7, 0x62, 0x3C, 0xAB, 0xD4 ),
1332 BYTES_TO_T_UINT_8( 0x48, 0x6A, 0x44, 0xD8, 0x60, 0xC0, 0xA8, 0x80 ),
1333 BYTES_TO_T_UINT_8( 0x82, 0x76, 0x58, 0x12, 0x57, 0x3C, 0x89, 0x46 ),
1334 BYTES_TO_T_UINT_8( 0x82, 0x4F, 0x83, 0xCE, 0xCB, 0xB8, 0xD0, 0x2C ),
1335 BYTES_TO_T_UINT_8( 0x9A, 0x84, 0x04, 0xB0, 0xAD, 0xEB, 0xFA, 0xDF ),
1336 BYTES_TO_T_UINT_8( 0x34, 0xA4, 0xC3, 0x41, 0x44, 0x4E, 0x65, 0x3E ),
1337};
1338static const mbedtls_mpi_uint secp384r1_T_29_X[] = {
1339 BYTES_TO_T_UINT_8( 0xB6, 0x16, 0xA9, 0x1C, 0xE7, 0x65, 0x20, 0xC1 ),
1340 BYTES_TO_T_UINT_8( 0x58, 0x53, 0x32, 0xF8, 0xC0, 0xA6, 0xBD, 0x2C ),
1341 BYTES_TO_T_UINT_8( 0xB7, 0xF0, 0xE6, 0x57, 0x31, 0xCC, 0x26, 0x6F ),
1342 BYTES_TO_T_UINT_8( 0x27, 0xE3, 0x54, 0x1C, 0x34, 0xD3, 0x17, 0xBC ),
1343 BYTES_TO_T_UINT_8( 0xF5, 0xAE, 0xED, 0xFB, 0xCD, 0xE7, 0x1E, 0x9F ),
1344 BYTES_TO_T_UINT_8( 0x5A, 0x16, 0x1C, 0x34, 0x40, 0x00, 0x1F, 0xB6 ),
1345};
1346static const mbedtls_mpi_uint secp384r1_T_29_Y[] = {
1347 BYTES_TO_T_UINT_8( 0x6A, 0x32, 0x00, 0xC2, 0xD4, 0x3B, 0x1A, 0x09 ),
1348 BYTES_TO_T_UINT_8( 0x34, 0xE0, 0x99, 0x8F, 0x0C, 0x4A, 0x16, 0x44 ),
1349 BYTES_TO_T_UINT_8( 0x83, 0x73, 0x18, 0x1B, 0xD4, 0x94, 0x29, 0x62 ),
1350 BYTES_TO_T_UINT_8( 0x29, 0xA4, 0x2D, 0xB1, 0x9D, 0x74, 0x32, 0x67 ),
1351 BYTES_TO_T_UINT_8( 0xBF, 0xF4, 0xB1, 0x0C, 0x37, 0x62, 0x8B, 0x66 ),
1352 BYTES_TO_T_UINT_8( 0xC9, 0xFF, 0xDA, 0xE2, 0x35, 0xA3, 0xB6, 0x42 ),
1353};
1354static const mbedtls_mpi_uint secp384r1_T_30_X[] = {
1355 BYTES_TO_T_UINT_8( 0x91, 0x49, 0x99, 0x65, 0xC5, 0xED, 0x16, 0xEF ),
1356 BYTES_TO_T_UINT_8( 0x79, 0x42, 0x9A, 0xF3, 0xA7, 0x4E, 0x6F, 0x2B ),
1357 BYTES_TO_T_UINT_8( 0x7B, 0x0A, 0x7E, 0xC0, 0xD7, 0x4E, 0x07, 0x55 ),
1358 BYTES_TO_T_UINT_8( 0xD6, 0x7A, 0x31, 0x69, 0xA6, 0xB9, 0x15, 0x34 ),
1359 BYTES_TO_T_UINT_8( 0xA8, 0xE0, 0x72, 0xA4, 0x3F, 0xB9, 0xF8, 0x0C ),
1360 BYTES_TO_T_UINT_8( 0x2B, 0x75, 0x32, 0x85, 0xA2, 0xDE, 0x37, 0x12 ),
1361};
1362static const mbedtls_mpi_uint secp384r1_T_30_Y[] = {
1363 BYTES_TO_T_UINT_8( 0xBC, 0xC0, 0x0D, 0xCF, 0x25, 0x41, 0xA4, 0xF4 ),
1364 BYTES_TO_T_UINT_8( 0x9B, 0xFC, 0xB2, 0x48, 0xC3, 0x85, 0x83, 0x4B ),
1365 BYTES_TO_T_UINT_8( 0x2B, 0xBE, 0x0B, 0x58, 0x2D, 0x7A, 0x9A, 0x62 ),
1366 BYTES_TO_T_UINT_8( 0xC5, 0xF3, 0x81, 0x18, 0x1B, 0x74, 0x4F, 0x2C ),
1367 BYTES_TO_T_UINT_8( 0xE2, 0x43, 0xA3, 0x0A, 0x16, 0x8B, 0xA3, 0x1E ),
1368 BYTES_TO_T_UINT_8( 0x4A, 0x18, 0x81, 0x7B, 0x8D, 0xA2, 0x35, 0x77 ),
1369};
1370static const mbedtls_mpi_uint secp384r1_T_31_X[] = {
1371 BYTES_TO_T_UINT_8( 0x86, 0xC4, 0x3F, 0x2C, 0xE7, 0x5F, 0x99, 0x03 ),
1372 BYTES_TO_T_UINT_8( 0xF0, 0x2B, 0xB7, 0xB6, 0xAD, 0x5A, 0x56, 0xFF ),
1373 BYTES_TO_T_UINT_8( 0x04, 0x00, 0xA4, 0x48, 0xC8, 0xE8, 0xBA, 0xBF ),
1374 BYTES_TO_T_UINT_8( 0xE8, 0xA1, 0xB5, 0x13, 0x5A, 0xCD, 0x99, 0x9C ),
1375 BYTES_TO_T_UINT_8( 0xB0, 0x95, 0xAD, 0xFC, 0xE2, 0x7E, 0xE7, 0xFE ),
1376 BYTES_TO_T_UINT_8( 0x96, 0x6B, 0xD1, 0x34, 0x99, 0x53, 0x63, 0x0B ),
1377};
1378static const mbedtls_mpi_uint secp384r1_T_31_Y[] = {
1379 BYTES_TO_T_UINT_8( 0x19, 0x8A, 0x77, 0x5D, 0x2B, 0xAB, 0x01, 0x28 ),
1380 BYTES_TO_T_UINT_8( 0x4E, 0x85, 0xD0, 0xD5, 0x49, 0x83, 0x4D, 0x60 ),
1381 BYTES_TO_T_UINT_8( 0x81, 0xC6, 0x91, 0x30, 0x3B, 0x00, 0xAF, 0x7A ),
1382 BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x61, 0x07, 0xE1, 0xB6, 0xE2, 0xC9 ),
1383 BYTES_TO_T_UINT_8( 0x95, 0x43, 0x41, 0xFE, 0x9B, 0xB6, 0xF0, 0xA5 ),
1384 BYTES_TO_T_UINT_8( 0xB4, 0x97, 0xAE, 0xAD, 0x89, 0x88, 0x9E, 0x41 ),
1385};
1386static const mbedtls_ecp_point secp384r1_T[32] = {
1387 ECP_POINT_INIT_XY_Z1(secp384r1_T_0_X, secp384r1_T_0_Y),
1388 ECP_POINT_INIT_XY_Z0(secp384r1_T_1_X, secp384r1_T_1_Y),
1389 ECP_POINT_INIT_XY_Z0(secp384r1_T_2_X, secp384r1_T_2_Y),
1390 ECP_POINT_INIT_XY_Z0(secp384r1_T_3_X, secp384r1_T_3_Y),
1391 ECP_POINT_INIT_XY_Z0(secp384r1_T_4_X, secp384r1_T_4_Y),
1392 ECP_POINT_INIT_XY_Z0(secp384r1_T_5_X, secp384r1_T_5_Y),
1393 ECP_POINT_INIT_XY_Z0(secp384r1_T_6_X, secp384r1_T_6_Y),
1394 ECP_POINT_INIT_XY_Z0(secp384r1_T_7_X, secp384r1_T_7_Y),
1395 ECP_POINT_INIT_XY_Z0(secp384r1_T_8_X, secp384r1_T_8_Y),
1396 ECP_POINT_INIT_XY_Z0(secp384r1_T_9_X, secp384r1_T_9_Y),
1397 ECP_POINT_INIT_XY_Z0(secp384r1_T_10_X, secp384r1_T_10_Y),
1398 ECP_POINT_INIT_XY_Z0(secp384r1_T_11_X, secp384r1_T_11_Y),
1399 ECP_POINT_INIT_XY_Z0(secp384r1_T_12_X, secp384r1_T_12_Y),
1400 ECP_POINT_INIT_XY_Z0(secp384r1_T_13_X, secp384r1_T_13_Y),
1401 ECP_POINT_INIT_XY_Z0(secp384r1_T_14_X, secp384r1_T_14_Y),
1402 ECP_POINT_INIT_XY_Z0(secp384r1_T_15_X, secp384r1_T_15_Y),
1403 ECP_POINT_INIT_XY_Z0(secp384r1_T_16_X, secp384r1_T_16_Y),
1404 ECP_POINT_INIT_XY_Z0(secp384r1_T_17_X, secp384r1_T_17_Y),
1405 ECP_POINT_INIT_XY_Z0(secp384r1_T_18_X, secp384r1_T_18_Y),
1406 ECP_POINT_INIT_XY_Z0(secp384r1_T_19_X, secp384r1_T_19_Y),
1407 ECP_POINT_INIT_XY_Z0(secp384r1_T_20_X, secp384r1_T_20_Y),
1408 ECP_POINT_INIT_XY_Z0(secp384r1_T_21_X, secp384r1_T_21_Y),
1409 ECP_POINT_INIT_XY_Z0(secp384r1_T_22_X, secp384r1_T_22_Y),
1410 ECP_POINT_INIT_XY_Z0(secp384r1_T_23_X, secp384r1_T_23_Y),
1411 ECP_POINT_INIT_XY_Z0(secp384r1_T_24_X, secp384r1_T_24_Y),
1412 ECP_POINT_INIT_XY_Z0(secp384r1_T_25_X, secp384r1_T_25_Y),
1413 ECP_POINT_INIT_XY_Z0(secp384r1_T_26_X, secp384r1_T_26_Y),
1414 ECP_POINT_INIT_XY_Z0(secp384r1_T_27_X, secp384r1_T_27_Y),
1415 ECP_POINT_INIT_XY_Z0(secp384r1_T_28_X, secp384r1_T_28_Y),
1416 ECP_POINT_INIT_XY_Z0(secp384r1_T_29_X, secp384r1_T_29_Y),
1417 ECP_POINT_INIT_XY_Z0(secp384r1_T_30_X, secp384r1_T_30_Y),
1418 ECP_POINT_INIT_XY_Z0(secp384r1_T_31_X, secp384r1_T_31_Y),
1419};
1420#else
1421#define secp384r1_T NULL
1422#endif
1423
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001424#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001425
1426/*
1427 * Domain parameters for secp521r1
1428 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001429#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
1430static const mbedtls_mpi_uint secp521r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001431 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1432 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1433 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1434 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1435 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1436 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1437 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1438 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001439 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001440};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001441static const mbedtls_mpi_uint secp521r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001442 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
1443 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
1444 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
1445 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
1446 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
1447 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
1448 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
1449 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001450 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001451};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001452static const mbedtls_mpi_uint secp521r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001453 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
1454 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
1455 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
1456 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
1457 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
1458 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
1459 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
1460 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001461 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001462};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001463static const mbedtls_mpi_uint secp521r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001464 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
1465 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
1466 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
1467 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
1468 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
1469 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
1470 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
1471 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001472 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001473};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001474static const mbedtls_mpi_uint secp521r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001475 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
1476 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
1477 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
1478 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
1479 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1480 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1481 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1482 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001483 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001484};
kXuanba9cb762021-04-08 14:32:06 +08001485#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
1486static const mbedtls_mpi_uint secp521r1_T_0_X[] = {
1487 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
1488 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
1489 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
1490 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
1491 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
1492 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
1493 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
1494 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
1495 BYTES_TO_T_UINT_8( 0xC6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1496};
1497static const mbedtls_mpi_uint secp521r1_T_0_Y[] = {
1498 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
1499 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
1500 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
1501 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
1502 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
1503 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
1504 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
1505 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
1506 BYTES_TO_T_UINT_8( 0x18, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1507};
1508static const mbedtls_mpi_uint secp521r1_T_1_X[] = {
1509 BYTES_TO_T_UINT_8( 0x2F, 0xB1, 0x2D, 0xEB, 0x27, 0x2F, 0xE8, 0xDA ),
1510 BYTES_TO_T_UINT_8( 0x98, 0x4B, 0x44, 0x25, 0xDB, 0x5C, 0x5F, 0x67 ),
1511 BYTES_TO_T_UINT_8( 0x13, 0x85, 0x28, 0x78, 0x2E, 0x75, 0x34, 0x32 ),
1512 BYTES_TO_T_UINT_8( 0x69, 0x57, 0x0F, 0x73, 0x78, 0x7A, 0xE3, 0x53 ),
1513 BYTES_TO_T_UINT_8( 0x8D, 0xD8, 0xEC, 0xDC, 0xDA, 0x04, 0xAD, 0xAB ),
1514 BYTES_TO_T_UINT_8( 0x34, 0x8A, 0x09, 0xF3, 0x58, 0x79, 0xD8, 0x29 ),
1515 BYTES_TO_T_UINT_8( 0x63, 0x03, 0xCB, 0x50, 0x1A, 0x7F, 0x56, 0x00 ),
1516 BYTES_TO_T_UINT_8( 0xF6, 0xA6, 0x78, 0x38, 0x85, 0x67, 0x0B, 0x40 ),
1517 BYTES_TO_T_UINT_8( 0x83, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1518};
1519static const mbedtls_mpi_uint secp521r1_T_1_Y[] = {
1520 BYTES_TO_T_UINT_8( 0x8A, 0xD5, 0xD2, 0x22, 0xC4, 0x00, 0x3B, 0xBA ),
1521 BYTES_TO_T_UINT_8( 0xD5, 0x93, 0x0E, 0x7B, 0x85, 0x51, 0xC3, 0x06 ),
1522 BYTES_TO_T_UINT_8( 0x3D, 0xA6, 0x5F, 0x54, 0x49, 0x02, 0x81, 0x78 ),
1523 BYTES_TO_T_UINT_8( 0x22, 0xE9, 0x6B, 0x3A, 0x92, 0xE7, 0x72, 0x1D ),
1524 BYTES_TO_T_UINT_8( 0x6F, 0x5F, 0x28, 0x9E, 0x91, 0x27, 0x88, 0xE3 ),
1525 BYTES_TO_T_UINT_8( 0xEF, 0x28, 0x31, 0xB3, 0x84, 0xCA, 0x12, 0x32 ),
1526 BYTES_TO_T_UINT_8( 0x3D, 0xF9, 0xAC, 0x22, 0x10, 0x0A, 0x64, 0x41 ),
1527 BYTES_TO_T_UINT_8( 0xE9, 0xC6, 0x33, 0x1F, 0x69, 0x19, 0x18, 0xBF ),
1528 BYTES_TO_T_UINT_8( 0xBE, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1529};
1530static const mbedtls_mpi_uint secp521r1_T_2_X[] = {
1531 BYTES_TO_T_UINT_8( 0xA0, 0x48, 0xB8, 0xC7, 0x37, 0x5A, 0x00, 0x36 ),
1532 BYTES_TO_T_UINT_8( 0x07, 0xCC, 0x32, 0xE0, 0xEE, 0x03, 0xC2, 0xBA ),
1533 BYTES_TO_T_UINT_8( 0xC4, 0x29, 0xC2, 0xE4, 0x6E, 0x24, 0x20, 0x8D ),
1534 BYTES_TO_T_UINT_8( 0x06, 0x6B, 0x7F, 0x7B, 0xF9, 0xB0, 0xB8, 0x13 ),
1535 BYTES_TO_T_UINT_8( 0x1D, 0x7B, 0x3C, 0xE1, 0x19, 0xA1, 0x23, 0x02 ),
1536 BYTES_TO_T_UINT_8( 0x2A, 0xE3, 0xC2, 0x53, 0xC0, 0x07, 0x13, 0xA9 ),
1537 BYTES_TO_T_UINT_8( 0x07, 0xFE, 0x36, 0x35, 0x9F, 0x5E, 0x59, 0xCE ),
1538 BYTES_TO_T_UINT_8( 0x1D, 0x55, 0x89, 0x84, 0xBC, 0xEF, 0xA2, 0xC2 ),
1539 BYTES_TO_T_UINT_8( 0x19, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1540};
1541static const mbedtls_mpi_uint secp521r1_T_2_Y[] = {
1542 BYTES_TO_T_UINT_8( 0xFD, 0x1A, 0x08, 0x67, 0xB4, 0xE7, 0x22, 0xED ),
1543 BYTES_TO_T_UINT_8( 0x76, 0x26, 0xDF, 0x81, 0x3C, 0x5F, 0x1C, 0xDA ),
1544 BYTES_TO_T_UINT_8( 0xE0, 0x4D, 0xD0, 0x0A, 0x48, 0x06, 0xF4, 0x48 ),
1545 BYTES_TO_T_UINT_8( 0x73, 0x18, 0x39, 0xF7, 0xD1, 0x20, 0x77, 0x8D ),
1546 BYTES_TO_T_UINT_8( 0x78, 0x8F, 0x44, 0x13, 0xCB, 0x78, 0x11, 0x11 ),
1547 BYTES_TO_T_UINT_8( 0x33, 0xE2, 0x49, 0xEA, 0x43, 0x79, 0x08, 0x39 ),
1548 BYTES_TO_T_UINT_8( 0x01, 0xD1, 0xD8, 0x73, 0x2C, 0x71, 0x2F, 0x69 ),
1549 BYTES_TO_T_UINT_8( 0x21, 0xE5, 0xE7, 0xF4, 0x46, 0xAB, 0x20, 0xCA ),
1550 BYTES_TO_T_UINT_8( 0x5A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1551};
1552static const mbedtls_mpi_uint secp521r1_T_3_X[] = {
1553 BYTES_TO_T_UINT_8( 0x8C, 0x0B, 0xB9, 0x71, 0x1A, 0x27, 0xB7, 0xA7 ),
1554 BYTES_TO_T_UINT_8( 0x2A, 0xA2, 0x2C, 0xD1, 0xDA, 0xBC, 0xC1, 0xBD ),
1555 BYTES_TO_T_UINT_8( 0x10, 0xA3, 0x10, 0x1F, 0x90, 0xF2, 0xA5, 0x52 ),
1556 BYTES_TO_T_UINT_8( 0x28, 0xFB, 0x20, 0xF4, 0xC0, 0x70, 0xC0, 0xF5 ),
1557 BYTES_TO_T_UINT_8( 0x8F, 0xA7, 0x99, 0xF0, 0xA5, 0xD3, 0x09, 0xDD ),
1558 BYTES_TO_T_UINT_8( 0x26, 0xE8, 0x14, 0x39, 0xBE, 0xCB, 0x60, 0xAF ),
1559 BYTES_TO_T_UINT_8( 0x9F, 0xD6, 0x14, 0xA9, 0xC9, 0x20, 0xC3, 0xEA ),
1560 BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x5B, 0xFD, 0x2D, 0x96, 0xBC, 0x78 ),
1561 BYTES_TO_T_UINT_8( 0xC0, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1562};
1563static const mbedtls_mpi_uint secp521r1_T_3_Y[] = {
1564 BYTES_TO_T_UINT_8( 0x9D, 0x04, 0x45, 0xBE, 0xCE, 0x75, 0x95, 0xF6 ),
1565 BYTES_TO_T_UINT_8( 0xCC, 0xDA, 0x58, 0x49, 0x35, 0x09, 0x8D, 0x41 ),
1566 BYTES_TO_T_UINT_8( 0x76, 0xF0, 0xC0, 0x36, 0xF2, 0xA6, 0x2D, 0x14 ),
1567 BYTES_TO_T_UINT_8( 0xE7, 0xFC, 0x3D, 0xA8, 0xFB, 0x3C, 0xD2, 0x51 ),
1568 BYTES_TO_T_UINT_8( 0x01, 0x4D, 0x71, 0x09, 0x18, 0x42, 0xF0, 0x2D ),
1569 BYTES_TO_T_UINT_8( 0x8D, 0xC1, 0xCE, 0x9E, 0x6A, 0x49, 0x60, 0x12 ),
1570 BYTES_TO_T_UINT_8( 0xAD, 0xB1, 0x00, 0xF7, 0xA1, 0x7A, 0x31, 0xB4 ),
1571 BYTES_TO_T_UINT_8( 0x41, 0xC3, 0x86, 0xCD, 0x20, 0x4A, 0x17, 0x86 ),
1572 BYTES_TO_T_UINT_8( 0x6C, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1573};
1574static const mbedtls_mpi_uint secp521r1_T_4_X[] = {
1575 BYTES_TO_T_UINT_8( 0x98, 0xAB, 0x8B, 0x47, 0x8D, 0xAA, 0xA6, 0x5B ),
1576 BYTES_TO_T_UINT_8( 0xC4, 0x97, 0xF0, 0xBC, 0x2D, 0xDC, 0x9D, 0x84 ),
1577 BYTES_TO_T_UINT_8( 0x01, 0x86, 0xB0, 0x74, 0xB2, 0xF4, 0xF6, 0x67 ),
1578 BYTES_TO_T_UINT_8( 0xAC, 0xBD, 0xAC, 0xE3, 0x8F, 0x43, 0x5C, 0xB1 ),
1579 BYTES_TO_T_UINT_8( 0x37, 0xC3, 0xE2, 0x6E, 0x25, 0x49, 0xCD, 0x0B ),
1580 BYTES_TO_T_UINT_8( 0x64, 0x5E, 0x08, 0xB3, 0xB9, 0xAC, 0x5F, 0xD1 ),
1581 BYTES_TO_T_UINT_8( 0x08, 0xB7, 0xD1, 0xF4, 0xDC, 0x19, 0xE9, 0xC8 ),
1582 BYTES_TO_T_UINT_8( 0x49, 0xE4, 0xFA, 0xE1, 0x36, 0x3E, 0xED, 0x6E ),
1583 BYTES_TO_T_UINT_8( 0x0A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1584};
1585static const mbedtls_mpi_uint secp521r1_T_4_Y[] = {
1586 BYTES_TO_T_UINT_8( 0x00, 0x67, 0x92, 0x84, 0x6E, 0x48, 0x03, 0x51 ),
1587 BYTES_TO_T_UINT_8( 0x9E, 0x95, 0xEF, 0x8F, 0xB2, 0x82, 0x6B, 0x1C ),
1588 BYTES_TO_T_UINT_8( 0x8D, 0xFA, 0xB9, 0x55, 0x23, 0xFE, 0x09, 0xB3 ),
1589 BYTES_TO_T_UINT_8( 0xEF, 0x79, 0x85, 0x4B, 0x0E, 0xD4, 0x35, 0xDB ),
1590 BYTES_TO_T_UINT_8( 0x9A, 0x27, 0x45, 0x81, 0xE0, 0x88, 0x52, 0xAD ),
1591 BYTES_TO_T_UINT_8( 0x17, 0x63, 0xA2, 0x4B, 0xBC, 0x5D, 0xB1, 0x92 ),
1592 BYTES_TO_T_UINT_8( 0x28, 0x8C, 0x83, 0xD9, 0x3E, 0xD3, 0x42, 0xDA ),
1593 BYTES_TO_T_UINT_8( 0x99, 0x03, 0x3A, 0x31, 0xBA, 0xE9, 0x3A, 0xD1 ),
1594 BYTES_TO_T_UINT_8( 0x47, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1595};
1596static const mbedtls_mpi_uint secp521r1_T_5_X[] = {
1597 BYTES_TO_T_UINT_8( 0x35, 0x10, 0xCD, 0x2D, 0x00, 0xFE, 0x32, 0xA7 ),
1598 BYTES_TO_T_UINT_8( 0xE4, 0x6E, 0x1F, 0xDA, 0xF8, 0x6F, 0x4D, 0x03 ),
1599 BYTES_TO_T_UINT_8( 0x09, 0x79, 0x7D, 0x09, 0xE5, 0xD3, 0x03, 0x21 ),
1600 BYTES_TO_T_UINT_8( 0x58, 0xC3, 0xBE, 0xDF, 0x07, 0x65, 0x49, 0xCC ),
1601 BYTES_TO_T_UINT_8( 0x08, 0x57, 0x33, 0xEF, 0xAE, 0x4F, 0x04, 0x27 ),
1602 BYTES_TO_T_UINT_8( 0x9A, 0xE9, 0x9B, 0xFE, 0xBF, 0xE6, 0x85, 0xF6 ),
1603 BYTES_TO_T_UINT_8( 0xBD, 0xBA, 0xAA, 0x06, 0xC4, 0xC6, 0xB8, 0x57 ),
1604 BYTES_TO_T_UINT_8( 0x0C, 0x83, 0x01, 0xA9, 0xF6, 0x51, 0xE7, 0xB8 ),
1605 BYTES_TO_T_UINT_8( 0x1B, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1606};
1607static const mbedtls_mpi_uint secp521r1_T_5_Y[] = {
1608 BYTES_TO_T_UINT_8( 0xB9, 0xA6, 0x15, 0x8E, 0xAB, 0x1F, 0x10, 0x87 ),
1609 BYTES_TO_T_UINT_8( 0x74, 0x08, 0x27, 0x1A, 0xA1, 0x21, 0xAD, 0xF5 ),
1610 BYTES_TO_T_UINT_8( 0x02, 0x09, 0x90, 0x6E, 0x50, 0x90, 0x9A, 0x5D ),
1611 BYTES_TO_T_UINT_8( 0x86, 0x9A, 0xFE, 0xD7, 0xA1, 0xF5, 0xA2, 0x15 ),
1612 BYTES_TO_T_UINT_8( 0xE8, 0x7D, 0xE3, 0xDC, 0x21, 0xFB, 0xA4, 0x7B ),
1613 BYTES_TO_T_UINT_8( 0xB9, 0xBF, 0x07, 0xFF, 0x45, 0xDF, 0x51, 0x77 ),
1614 BYTES_TO_T_UINT_8( 0x0B, 0x5C, 0x34, 0x02, 0x62, 0x9B, 0x08, 0x12 ),
1615 BYTES_TO_T_UINT_8( 0x86, 0xCE, 0x9A, 0x6A, 0xEC, 0x75, 0xF6, 0x46 ),
1616 BYTES_TO_T_UINT_8( 0x6D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1617};
1618static const mbedtls_mpi_uint secp521r1_T_6_X[] = {
1619 BYTES_TO_T_UINT_8( 0xE6, 0x59, 0xF4, 0x78, 0x3C, 0x60, 0xB1, 0x4A ),
1620 BYTES_TO_T_UINT_8( 0x3E, 0x37, 0x84, 0x6A, 0xDC, 0xF2, 0x9A, 0x7D ),
1621 BYTES_TO_T_UINT_8( 0x40, 0x9A, 0x9A, 0x15, 0x36, 0xE0, 0x2B, 0x2D ),
1622 BYTES_TO_T_UINT_8( 0xEC, 0x38, 0x9C, 0x50, 0x3D, 0x1E, 0x37, 0x82 ),
1623 BYTES_TO_T_UINT_8( 0xB7, 0x79, 0xF0, 0x92, 0xF2, 0x8B, 0x18, 0x82 ),
1624 BYTES_TO_T_UINT_8( 0x17, 0xE0, 0x82, 0x1E, 0x80, 0x82, 0x4B, 0xD7 ),
1625 BYTES_TO_T_UINT_8( 0xFA, 0xBB, 0x59, 0x6B, 0x8A, 0x77, 0x41, 0x40 ),
1626 BYTES_TO_T_UINT_8( 0xA7, 0xF9, 0xD4, 0xB8, 0x4A, 0x82, 0xCF, 0x40 ),
1627 BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1628};
1629static const mbedtls_mpi_uint secp521r1_T_6_Y[] = {
1630 BYTES_TO_T_UINT_8( 0x1E, 0x8C, 0xC8, 0x9B, 0x72, 0x9E, 0xF7, 0xF9 ),
1631 BYTES_TO_T_UINT_8( 0xB8, 0xCE, 0xE9, 0x77, 0x0A, 0x19, 0x59, 0x84 ),
1632 BYTES_TO_T_UINT_8( 0x9D, 0xA1, 0x41, 0x6A, 0x72, 0x4B, 0xB4, 0xDC ),
1633 BYTES_TO_T_UINT_8( 0x0B, 0x35, 0x43, 0xE2, 0x8C, 0xBE, 0x0D, 0xE3 ),
1634 BYTES_TO_T_UINT_8( 0xC1, 0xEB, 0xAD, 0xF3, 0xA9, 0xA6, 0x68, 0xA1 ),
1635 BYTES_TO_T_UINT_8( 0x81, 0x2F, 0xE2, 0x48, 0x0C, 0xDB, 0x1F, 0x42 ),
1636 BYTES_TO_T_UINT_8( 0xD1, 0x1E, 0x60, 0x9B, 0x2A, 0xD2, 0xC1, 0x3C ),
1637 BYTES_TO_T_UINT_8( 0xC0, 0x64, 0xB5, 0xD2, 0xF6, 0xF6, 0x6E, 0x22 ),
1638 BYTES_TO_T_UINT_8( 0x70, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1639};
1640static const mbedtls_mpi_uint secp521r1_T_7_X[] = {
1641 BYTES_TO_T_UINT_8( 0xC6, 0x3D, 0x30, 0x78, 0x10, 0x18, 0x41, 0x51 ),
1642 BYTES_TO_T_UINT_8( 0x96, 0x1D, 0x1C, 0xE0, 0x6D, 0x83, 0xD1, 0x93 ),
1643 BYTES_TO_T_UINT_8( 0x7B, 0x03, 0x0B, 0xF5, 0x2F, 0x6C, 0x04, 0x98 ),
1644 BYTES_TO_T_UINT_8( 0x6C, 0x3E, 0xD5, 0xFC, 0x31, 0x5B, 0x3A, 0xEB ),
1645 BYTES_TO_T_UINT_8( 0x50, 0x82, 0x2F, 0xFB, 0xFE, 0xF8, 0x76, 0x39 ),
1646 BYTES_TO_T_UINT_8( 0x85, 0x26, 0xDA, 0x9C, 0x36, 0xF5, 0x93, 0xD1 ),
1647 BYTES_TO_T_UINT_8( 0x4C, 0xE7, 0x6E, 0xD2, 0x7D, 0x81, 0x09, 0xC6 ),
1648 BYTES_TO_T_UINT_8( 0xD3, 0x03, 0xF9, 0x58, 0x48, 0x24, 0xA2, 0xEE ),
1649 BYTES_TO_T_UINT_8( 0xE9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1650};
1651static const mbedtls_mpi_uint secp521r1_T_7_Y[] = {
1652 BYTES_TO_T_UINT_8( 0x1B, 0x79, 0x0C, 0x8E, 0x6B, 0x95, 0xF3, 0xC4 ),
1653 BYTES_TO_T_UINT_8( 0xF4, 0x10, 0x5C, 0x87, 0x03, 0x39, 0xCF, 0x68 ),
1654 BYTES_TO_T_UINT_8( 0xAD, 0xF0, 0xF7, 0xC1, 0x07, 0xA4, 0xF4, 0x3F ),
1655 BYTES_TO_T_UINT_8( 0x32, 0xE8, 0x02, 0x89, 0x65, 0xC4, 0x72, 0x36 ),
1656 BYTES_TO_T_UINT_8( 0xB4, 0x88, 0xEA, 0x96, 0x67, 0x0B, 0x5D, 0xDF ),
1657 BYTES_TO_T_UINT_8( 0xA8, 0x75, 0x60, 0xA8, 0xBD, 0x74, 0xDF, 0x68 ),
1658 BYTES_TO_T_UINT_8( 0x6E, 0xE5, 0x71, 0x50, 0x67, 0xD0, 0xD2, 0xE6 ),
1659 BYTES_TO_T_UINT_8( 0xD5, 0xFC, 0xE5, 0xC7, 0x77, 0xB0, 0x7F, 0x8C ),
1660 BYTES_TO_T_UINT_8( 0xF1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1661};
1662static const mbedtls_mpi_uint secp521r1_T_8_X[] = {
1663 BYTES_TO_T_UINT_8( 0x97, 0x86, 0x69, 0xCD, 0x0D, 0x9A, 0xBD, 0x66 ),
1664 BYTES_TO_T_UINT_8( 0x58, 0x17, 0xBC, 0xBB, 0x59, 0x85, 0x7D, 0x0E ),
1665 BYTES_TO_T_UINT_8( 0x8D, 0xA8, 0x76, 0xAC, 0x80, 0xA9, 0x72, 0xE0 ),
1666 BYTES_TO_T_UINT_8( 0x74, 0x78, 0xC1, 0xE2, 0x4D, 0xAF, 0xF9, 0x3C ),
1667 BYTES_TO_T_UINT_8( 0xAD, 0x97, 0x8E, 0x74, 0xC4, 0x4B, 0xB2, 0x85 ),
1668 BYTES_TO_T_UINT_8( 0xEA, 0xD8, 0xF6, 0xF3, 0xAF, 0x2F, 0x52, 0xE5 ),
1669 BYTES_TO_T_UINT_8( 0x95, 0x57, 0xF4, 0xCE, 0xEE, 0x43, 0xED, 0x60 ),
1670 BYTES_TO_T_UINT_8( 0x7D, 0x46, 0x38, 0xDE, 0x20, 0xFD, 0x59, 0x18 ),
1671 BYTES_TO_T_UINT_8( 0xD7, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1672};
1673static const mbedtls_mpi_uint secp521r1_T_8_Y[] = {
1674 BYTES_TO_T_UINT_8( 0x1C, 0x18, 0xE8, 0x58, 0xB9, 0x76, 0x2C, 0xE6 ),
1675 BYTES_TO_T_UINT_8( 0xED, 0x54, 0xE4, 0xFE, 0xC7, 0xBC, 0x31, 0x37 ),
1676 BYTES_TO_T_UINT_8( 0xF5, 0xF8, 0x89, 0xEE, 0x70, 0xB5, 0xB0, 0x2C ),
1677 BYTES_TO_T_UINT_8( 0x83, 0x22, 0x26, 0x9A, 0x53, 0xB9, 0x38, 0x0A ),
1678 BYTES_TO_T_UINT_8( 0x74, 0xA7, 0x19, 0x8C, 0x74, 0x7E, 0x88, 0x46 ),
1679 BYTES_TO_T_UINT_8( 0xB4, 0xDA, 0x0A, 0xE8, 0xDA, 0xA5, 0xBE, 0x1D ),
1680 BYTES_TO_T_UINT_8( 0x90, 0x5C, 0xF7, 0xB1, 0x0C, 0x72, 0xFB, 0x09 ),
1681 BYTES_TO_T_UINT_8( 0x78, 0xE2, 0x23, 0xE7, 0x46, 0xB7, 0xE0, 0x91 ),
1682 BYTES_TO_T_UINT_8( 0xC5, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1683};
1684static const mbedtls_mpi_uint secp521r1_T_9_X[] = {
1685 BYTES_TO_T_UINT_8( 0x3A, 0x36, 0xBC, 0xBD, 0x48, 0x11, 0x8E, 0x72 ),
1686 BYTES_TO_T_UINT_8( 0xAB, 0xBB, 0xA1, 0xF7, 0x0B, 0x9E, 0xBF, 0xDF ),
1687 BYTES_TO_T_UINT_8( 0x68, 0x28, 0xE1, 0xA2, 0x8F, 0xFC, 0xFC, 0xD6 ),
1688 BYTES_TO_T_UINT_8( 0x81, 0xFE, 0x19, 0x0A, 0xE5, 0xE7, 0x69, 0x39 ),
1689 BYTES_TO_T_UINT_8( 0x5E, 0xCD, 0x12, 0xF5, 0xBE, 0xD3, 0x04, 0xF1 ),
1690 BYTES_TO_T_UINT_8( 0xF5, 0xA8, 0x0D, 0x81, 0x59, 0xC4, 0x79, 0x98 ),
1691 BYTES_TO_T_UINT_8( 0xA3, 0xF3, 0x4B, 0x92, 0x65, 0xC3, 0x31, 0xAD ),
1692 BYTES_TO_T_UINT_8( 0x75, 0xB5, 0x4F, 0x4D, 0x91, 0xD4, 0xE2, 0xB2 ),
1693 BYTES_TO_T_UINT_8( 0x51, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1694};
1695static const mbedtls_mpi_uint secp521r1_T_9_Y[] = {
1696 BYTES_TO_T_UINT_8( 0x72, 0x09, 0x41, 0x79, 0x1D, 0x4D, 0x0D, 0x33 ),
1697 BYTES_TO_T_UINT_8( 0xBB, 0x31, 0x18, 0xBA, 0xA0, 0xF2, 0x6E, 0x7E ),
1698 BYTES_TO_T_UINT_8( 0x93, 0x5B, 0x4D, 0x4F, 0xAF, 0xC9, 0x8C, 0xA1 ),
1699 BYTES_TO_T_UINT_8( 0x48, 0x99, 0x9C, 0x06, 0x68, 0xDE, 0xD8, 0x29 ),
1700 BYTES_TO_T_UINT_8( 0xA0, 0x04, 0xE1, 0xB5, 0x9D, 0x00, 0xBC, 0xB8 ),
1701 BYTES_TO_T_UINT_8( 0x61, 0x95, 0x92, 0x8D, 0x72, 0xD3, 0x37, 0x42 ),
1702 BYTES_TO_T_UINT_8( 0xAB, 0x4B, 0x27, 0xA2, 0xE8, 0xA4, 0x26, 0xA1 ),
1703 BYTES_TO_T_UINT_8( 0x4F, 0x45, 0x9C, 0xA9, 0xCB, 0x9F, 0xBA, 0x85 ),
1704 BYTES_TO_T_UINT_8( 0xCB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1705};
1706static const mbedtls_mpi_uint secp521r1_T_10_X[] = {
1707 BYTES_TO_T_UINT_8( 0x08, 0x7E, 0x1B, 0x64, 0xF4, 0xE8, 0xA5, 0x55 ),
1708 BYTES_TO_T_UINT_8( 0xF7, 0x20, 0xA9, 0xCA, 0xF3, 0x89, 0xE5, 0xE1 ),
1709 BYTES_TO_T_UINT_8( 0x83, 0xED, 0xFC, 0xAB, 0xD9, 0x0A, 0xB9, 0x07 ),
1710 BYTES_TO_T_UINT_8( 0x08, 0x6F, 0x46, 0x7C, 0xCD, 0x78, 0xFF, 0x05 ),
1711 BYTES_TO_T_UINT_8( 0x69, 0xAB, 0x71, 0x5A, 0x94, 0xAB, 0x20, 0x20 ),
1712 BYTES_TO_T_UINT_8( 0xC2, 0x2E, 0xEE, 0x87, 0x57, 0x1F, 0xAD, 0xD3 ),
1713 BYTES_TO_T_UINT_8( 0x91, 0x4C, 0x3D, 0xFB, 0x7E, 0xA1, 0x8B, 0x07 ),
1714 BYTES_TO_T_UINT_8( 0x69, 0xCF, 0x07, 0x86, 0xBA, 0x53, 0x37, 0xCF ),
1715 BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1716};
1717static const mbedtls_mpi_uint secp521r1_T_10_Y[] = {
1718 BYTES_TO_T_UINT_8( 0x00, 0x26, 0xB2, 0xB9, 0xE2, 0x91, 0xE3, 0xB5 ),
1719 BYTES_TO_T_UINT_8( 0x79, 0xC9, 0x54, 0x84, 0x08, 0x3D, 0x0B, 0xD2 ),
1720 BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x77, 0x2F, 0x64, 0x45, 0x99, 0x4C ),
1721 BYTES_TO_T_UINT_8( 0x87, 0x96, 0x16, 0x1F, 0xDB, 0x96, 0x28, 0x97 ),
1722 BYTES_TO_T_UINT_8( 0x83, 0x2B, 0x8D, 0xFF, 0xA2, 0x4F, 0x55, 0xD3 ),
1723 BYTES_TO_T_UINT_8( 0x71, 0xE6, 0x48, 0xBD, 0x99, 0x3D, 0x12, 0x57 ),
1724 BYTES_TO_T_UINT_8( 0x3F, 0x84, 0x59, 0xDA, 0xB9, 0xB6, 0x66, 0x12 ),
1725 BYTES_TO_T_UINT_8( 0x6D, 0x78, 0x41, 0x92, 0xDF, 0xF4, 0x3F, 0x63 ),
1726 BYTES_TO_T_UINT_8( 0x1F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1727};
1728static const mbedtls_mpi_uint secp521r1_T_11_X[] = {
1729 BYTES_TO_T_UINT_8( 0x7E, 0x86, 0x6F, 0x4F, 0xBF, 0x67, 0xDF, 0x2F ),
1730 BYTES_TO_T_UINT_8( 0xF2, 0x2B, 0x1E, 0x5F, 0x00, 0xEA, 0xF6, 0x56 ),
1731 BYTES_TO_T_UINT_8( 0x90, 0xB9, 0x6A, 0x89, 0xD8, 0xC0, 0xD7, 0xA7 ),
1732 BYTES_TO_T_UINT_8( 0xCB, 0x9A, 0x32, 0x23, 0xA0, 0x02, 0x91, 0x58 ),
1733 BYTES_TO_T_UINT_8( 0x42, 0x7F, 0x6A, 0x15, 0x64, 0x6A, 0x8B, 0xBB ),
1734 BYTES_TO_T_UINT_8( 0x8A, 0x57, 0x82, 0x58, 0xA9, 0x56, 0xB5, 0xFB ),
1735 BYTES_TO_T_UINT_8( 0xDD, 0x50, 0x92, 0x60, 0xCC, 0x81, 0x24, 0xA8 ),
1736 BYTES_TO_T_UINT_8( 0x36, 0x3D, 0xAD, 0xDA, 0xD9, 0x51, 0x3E, 0x57 ),
1737 BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1738};
1739static const mbedtls_mpi_uint secp521r1_T_11_Y[] = {
1740 BYTES_TO_T_UINT_8( 0xEC, 0xFE, 0x8F, 0xB0, 0x0B, 0xDE, 0x2E, 0x7E ),
1741 BYTES_TO_T_UINT_8( 0x79, 0xD2, 0xBE, 0xEF, 0xAC, 0x76, 0x71, 0xA3 ),
1742 BYTES_TO_T_UINT_8( 0x55, 0xE8, 0x72, 0x0B, 0xAC, 0xFE, 0xCA, 0x5A ),
1743 BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0xC7, 0xFC, 0xE3, 0x3C, 0x7C, 0x4C ),
1744 BYTES_TO_T_UINT_8( 0xA1, 0x04, 0xA7, 0xB9, 0x9B, 0x93, 0xC0, 0x2F ),
1745 BYTES_TO_T_UINT_8( 0x41, 0x48, 0x4B, 0x8E, 0x32, 0xC5, 0xF0, 0x6B ),
1746 BYTES_TO_T_UINT_8( 0xB0, 0x42, 0x07, 0xC1, 0xF2, 0xF1, 0x72, 0x5B ),
1747 BYTES_TO_T_UINT_8( 0x1E, 0x37, 0x54, 0x9C, 0x88, 0xD2, 0x62, 0xAA ),
1748 BYTES_TO_T_UINT_8( 0xC1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1749};
1750static const mbedtls_mpi_uint secp521r1_T_12_X[] = {
1751 BYTES_TO_T_UINT_8( 0xC2, 0x19, 0x8A, 0x89, 0x58, 0xA2, 0x0F, 0xDB ),
1752 BYTES_TO_T_UINT_8( 0x01, 0xCC, 0x4C, 0x97, 0x30, 0x66, 0x34, 0x26 ),
1753 BYTES_TO_T_UINT_8( 0x83, 0x6A, 0x1E, 0x1F, 0xDB, 0xC9, 0x5E, 0x13 ),
1754 BYTES_TO_T_UINT_8( 0x1B, 0x4D, 0x49, 0xFF, 0x9B, 0x9C, 0xAC, 0x9B ),
1755 BYTES_TO_T_UINT_8( 0xD7, 0xE4, 0x4B, 0xF2, 0xD4, 0x1A, 0xD2, 0x78 ),
1756 BYTES_TO_T_UINT_8( 0xCD, 0xDA, 0xE8, 0x61, 0x9F, 0xC8, 0x49, 0x32 ),
1757 BYTES_TO_T_UINT_8( 0x51, 0xCB, 0xF2, 0x2D, 0x85, 0xF6, 0x8D, 0x52 ),
1758 BYTES_TO_T_UINT_8( 0xB7, 0xC5, 0xCD, 0x2C, 0x79, 0xC6, 0x0E, 0x4F ),
1759 BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1760};
1761static const mbedtls_mpi_uint secp521r1_T_12_Y[] = {
1762 BYTES_TO_T_UINT_8( 0x73, 0x1D, 0x55, 0x0F, 0xF8, 0x22, 0x9F, 0x78 ),
1763 BYTES_TO_T_UINT_8( 0x76, 0x56, 0xBA, 0xE7, 0x57, 0x32, 0xEC, 0x42 ),
1764 BYTES_TO_T_UINT_8( 0x65, 0x9A, 0xC6, 0x4C, 0x09, 0xC4, 0x52, 0x3F ),
1765 BYTES_TO_T_UINT_8( 0xB6, 0x1E, 0x6F, 0xF4, 0x7D, 0x27, 0xDD, 0xAF ),
1766 BYTES_TO_T_UINT_8( 0x94, 0x11, 0x16, 0xEC, 0x79, 0x83, 0xAD, 0xAE ),
1767 BYTES_TO_T_UINT_8( 0x46, 0x4E, 0x92, 0x1F, 0x19, 0x7D, 0x65, 0xDC ),
1768 BYTES_TO_T_UINT_8( 0x09, 0xFF, 0x78, 0x15, 0x45, 0x63, 0x32, 0xE4 ),
1769 BYTES_TO_T_UINT_8( 0xBF, 0x91, 0xD0, 0x78, 0x58, 0xDA, 0x50, 0x47 ),
1770 BYTES_TO_T_UINT_8( 0x73, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1771};
1772static const mbedtls_mpi_uint secp521r1_T_13_X[] = {
1773 BYTES_TO_T_UINT_8( 0x23, 0xDE, 0x40, 0xF6, 0x41, 0xB4, 0x3B, 0x95 ),
1774 BYTES_TO_T_UINT_8( 0xC6, 0x8D, 0xE0, 0xE1, 0xA9, 0xF0, 0x35, 0x5D ),
1775 BYTES_TO_T_UINT_8( 0xE6, 0xD4, 0xBA, 0x7B, 0xCC, 0x1B, 0x3A, 0x32 ),
1776 BYTES_TO_T_UINT_8( 0xD0, 0x5A, 0x2E, 0x74, 0x47, 0x14, 0xC3, 0x4D ),
1777 BYTES_TO_T_UINT_8( 0x7D, 0xF0, 0x8B, 0x06, 0x15, 0x8E, 0x0E, 0xCA ),
1778 BYTES_TO_T_UINT_8( 0xB5, 0xD2, 0xEB, 0x97, 0x50, 0x7D, 0x31, 0xFC ),
1779 BYTES_TO_T_UINT_8( 0x42, 0x93, 0x4C, 0xDB, 0x97, 0x79, 0x44, 0xF5 ),
1780 BYTES_TO_T_UINT_8( 0x9C, 0xA2, 0xA0, 0x0B, 0xC8, 0x3A, 0x8A, 0xF9 ),
1781 BYTES_TO_T_UINT_8( 0x61, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1782};
1783static const mbedtls_mpi_uint secp521r1_T_13_Y[] = {
1784 BYTES_TO_T_UINT_8( 0x79, 0x50, 0x92, 0x9E, 0x24, 0x1F, 0xCB, 0x4C ),
1785 BYTES_TO_T_UINT_8( 0xD3, 0x16, 0xC9, 0xC5, 0x3D, 0x5A, 0xAF, 0x97 ),
1786 BYTES_TO_T_UINT_8( 0x18, 0xE3, 0x97, 0xE4, 0xA8, 0x50, 0xF6, 0x7E ),
1787 BYTES_TO_T_UINT_8( 0x45, 0x57, 0x97, 0x42, 0x78, 0x92, 0x49, 0x0D ),
1788 BYTES_TO_T_UINT_8( 0xA5, 0xEB, 0x62, 0x24, 0xFB, 0x8F, 0x32, 0xCF ),
1789 BYTES_TO_T_UINT_8( 0xF3, 0x0C, 0x36, 0x6E, 0x8F, 0xE8, 0xE8, 0x8E ),
1790 BYTES_TO_T_UINT_8( 0xC2, 0xD3, 0x7C, 0xC7, 0x8D, 0x3F, 0x5C, 0xE1 ),
1791 BYTES_TO_T_UINT_8( 0x6A, 0x64, 0x6A, 0x73, 0x10, 0x79, 0xB8, 0x5A ),
1792 BYTES_TO_T_UINT_8( 0xCB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1793};
1794static const mbedtls_mpi_uint secp521r1_T_14_X[] = {
1795 BYTES_TO_T_UINT_8( 0x51, 0xF9, 0xEF, 0xA5, 0x20, 0x4A, 0x5C, 0xA1 ),
1796 BYTES_TO_T_UINT_8( 0x2F, 0xF3, 0xF4, 0x49, 0x5B, 0x73, 0xAA, 0x1B ),
1797 BYTES_TO_T_UINT_8( 0xC6, 0xF2, 0xEA, 0x0F, 0x00, 0xAD, 0x53, 0xAB ),
1798 BYTES_TO_T_UINT_8( 0x03, 0xB8, 0x66, 0xED, 0xC4, 0x2B, 0x4C, 0x35 ),
1799 BYTES_TO_T_UINT_8( 0x3A, 0x2F, 0xC1, 0x9A, 0x37, 0xD2, 0x7F, 0x58 ),
1800 BYTES_TO_T_UINT_8( 0x29, 0xA7, 0x81, 0x38, 0x64, 0xC9, 0x37, 0x38 ),
1801 BYTES_TO_T_UINT_8( 0xBE, 0x3B, 0x6C, 0x9F, 0x5B, 0xD9, 0x8B, 0x1D ),
1802 BYTES_TO_T_UINT_8( 0xB6, 0x14, 0xD9, 0x08, 0xD8, 0xD2, 0x7E, 0x23 ),
1803 BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1804};
1805static const mbedtls_mpi_uint secp521r1_T_14_Y[] = {
1806 BYTES_TO_T_UINT_8( 0x15, 0x71, 0xE6, 0x3D, 0xD1, 0xB0, 0xE7, 0xCD ),
1807 BYTES_TO_T_UINT_8( 0x5B, 0x81, 0x23, 0xEC, 0x2D, 0x42, 0x45, 0xE6 ),
1808 BYTES_TO_T_UINT_8( 0x51, 0x5B, 0x44, 0x6B, 0x89, 0x03, 0x67, 0x28 ),
1809 BYTES_TO_T_UINT_8( 0x84, 0x27, 0xAE, 0x80, 0x5A, 0x33, 0xBE, 0x11 ),
1810 BYTES_TO_T_UINT_8( 0xE3, 0xB6, 0x64, 0x1A, 0xDF, 0xD3, 0x85, 0x91 ),
1811 BYTES_TO_T_UINT_8( 0x67, 0x8C, 0x22, 0xBA, 0xD0, 0xBD, 0xCC, 0xA0 ),
1812 BYTES_TO_T_UINT_8( 0xF7, 0x3C, 0x01, 0x3A, 0xFF, 0x9D, 0xC7, 0x6B ),
1813 BYTES_TO_T_UINT_8( 0x0C, 0xC7, 0x64, 0xB4, 0x59, 0x4E, 0x9F, 0x22 ),
1814 BYTES_TO_T_UINT_8( 0x85, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1815};
1816static const mbedtls_mpi_uint secp521r1_T_15_X[] = {
1817 BYTES_TO_T_UINT_8( 0xA1, 0x34, 0x0A, 0x41, 0x94, 0xA8, 0xF2, 0xB7 ),
1818 BYTES_TO_T_UINT_8( 0xF6, 0xD4, 0xE4, 0xF0, 0x97, 0x45, 0x6D, 0xCA ),
1819 BYTES_TO_T_UINT_8( 0x8F, 0x1F, 0x4D, 0x6D, 0xFE, 0xA0, 0xC4, 0x84 ),
1820 BYTES_TO_T_UINT_8( 0x1D, 0x28, 0x5C, 0x40, 0xBB, 0x65, 0xD4, 0x42 ),
1821 BYTES_TO_T_UINT_8( 0x98, 0xA8, 0x87, 0x35, 0x20, 0x3A, 0x89, 0x44 ),
1822 BYTES_TO_T_UINT_8( 0xD6, 0xFD, 0x4F, 0xAB, 0x2D, 0xD1, 0xD0, 0xC0 ),
1823 BYTES_TO_T_UINT_8( 0x86, 0xE8, 0x00, 0xFC, 0x69, 0x52, 0xF8, 0xD5 ),
1824 BYTES_TO_T_UINT_8( 0xE1, 0x9A, 0x99, 0xE1, 0xDC, 0x9C, 0x3F, 0xD9 ),
1825 BYTES_TO_T_UINT_8( 0x99, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1826};
1827static const mbedtls_mpi_uint secp521r1_T_15_Y[] = {
1828 BYTES_TO_T_UINT_8( 0x12, 0x08, 0x98, 0xD9, 0xCA, 0x73, 0xD5, 0xA9 ),
1829 BYTES_TO_T_UINT_8( 0xB9, 0x2C, 0xE0, 0xA7, 0x3E, 0x91, 0xD7, 0x87 ),
1830 BYTES_TO_T_UINT_8( 0x68, 0x04, 0xB0, 0x54, 0x09, 0xF4, 0x72, 0xB7 ),
1831 BYTES_TO_T_UINT_8( 0xC8, 0xEE, 0x28, 0xCC, 0xE8, 0x50, 0x78, 0x20 ),
1832 BYTES_TO_T_UINT_8( 0x0D, 0x91, 0x03, 0x76, 0xDB, 0x68, 0x24, 0x77 ),
1833 BYTES_TO_T_UINT_8( 0x7A, 0xE0, 0x56, 0xB2, 0x5D, 0x12, 0xD3, 0xB5 ),
1834 BYTES_TO_T_UINT_8( 0x0D, 0x42, 0x59, 0x8B, 0xDF, 0x67, 0xB5, 0xBE ),
1835 BYTES_TO_T_UINT_8( 0xD1, 0xCC, 0xE5, 0x31, 0x53, 0x7A, 0x46, 0xB3 ),
1836 BYTES_TO_T_UINT_8( 0xDA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1837};
1838static const mbedtls_mpi_uint secp521r1_T_16_X[] = {
1839 BYTES_TO_T_UINT_8( 0xCC, 0x8D, 0x59, 0xB5, 0x1B, 0x0F, 0xF4, 0xAF ),
1840 BYTES_TO_T_UINT_8( 0xD9, 0x2F, 0xD1, 0x2C, 0xE0, 0xD8, 0x04, 0xEF ),
1841 BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0xD7, 0xBA, 0xB0, 0xA3, 0x7E, 0xC9 ),
1842 BYTES_TO_T_UINT_8( 0xCD, 0x08, 0x51, 0x56, 0xA6, 0x76, 0x67, 0x33 ),
1843 BYTES_TO_T_UINT_8( 0x8C, 0x17, 0x63, 0xFE, 0x56, 0xD0, 0xD9, 0x71 ),
1844 BYTES_TO_T_UINT_8( 0xAA, 0xF6, 0xC3, 0x14, 0x47, 0xC5, 0xA7, 0x31 ),
1845 BYTES_TO_T_UINT_8( 0x72, 0x4C, 0x80, 0xF6, 0xA2, 0x57, 0xA7, 0x5D ),
1846 BYTES_TO_T_UINT_8( 0x11, 0xB3, 0x7B, 0xF8, 0x2F, 0xE1, 0x3E, 0x7B ),
1847 BYTES_TO_T_UINT_8( 0xFA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1848};
1849static const mbedtls_mpi_uint secp521r1_T_16_Y[] = {
1850 BYTES_TO_T_UINT_8( 0x26, 0xF4, 0xF9, 0x6B, 0x7B, 0x90, 0xDF, 0x30 ),
1851 BYTES_TO_T_UINT_8( 0x1F, 0x82, 0xEF, 0x62, 0xA1, 0x4C, 0x53, 0xCA ),
1852 BYTES_TO_T_UINT_8( 0xE6, 0x99, 0x76, 0x01, 0xBA, 0x8D, 0x0F, 0x54 ),
1853 BYTES_TO_T_UINT_8( 0xAF, 0xF4, 0x58, 0x73, 0x56, 0xFE, 0xDD, 0x7C ),
1854 BYTES_TO_T_UINT_8( 0xF6, 0xCE, 0xF9, 0xE8, 0xA1, 0x34, 0xC3, 0x5B ),
1855 BYTES_TO_T_UINT_8( 0x09, 0x5F, 0xDC, 0x6A, 0x3D, 0xD8, 0x7F, 0x42 ),
1856 BYTES_TO_T_UINT_8( 0xC2, 0xF4, 0x51, 0xB8, 0xB8, 0xC1, 0xD7, 0x2F ),
1857 BYTES_TO_T_UINT_8( 0xAE, 0x7D, 0x58, 0xD1, 0xD4, 0x1B, 0x4D, 0x23 ),
1858 BYTES_TO_T_UINT_8( 0xD3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1859};
1860static const mbedtls_mpi_uint secp521r1_T_17_X[] = {
1861 BYTES_TO_T_UINT_8( 0xB9, 0x95, 0xDF, 0x00, 0xD8, 0x21, 0xDE, 0x94 ),
1862 BYTES_TO_T_UINT_8( 0xF7, 0x47, 0x3C, 0xC3, 0xB2, 0x01, 0x53, 0x5D ),
1863 BYTES_TO_T_UINT_8( 0x1E, 0x17, 0x43, 0x23, 0xBD, 0xCA, 0x71, 0xF2 ),
1864 BYTES_TO_T_UINT_8( 0x70, 0xBA, 0x0F, 0x4F, 0xDC, 0x41, 0x54, 0xBE ),
1865 BYTES_TO_T_UINT_8( 0xD6, 0x39, 0x26, 0x70, 0x53, 0x32, 0x18, 0x11 ),
1866 BYTES_TO_T_UINT_8( 0x32, 0x46, 0x07, 0x97, 0x3A, 0x57, 0xE0, 0x01 ),
1867 BYTES_TO_T_UINT_8( 0xD6, 0x92, 0x4F, 0xCE, 0xDF, 0x25, 0x80, 0x26 ),
1868 BYTES_TO_T_UINT_8( 0x5B, 0x6F, 0x9A, 0x03, 0x05, 0x4B, 0xD1, 0x47 ),
1869 BYTES_TO_T_UINT_8( 0x5D, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1870};
1871static const mbedtls_mpi_uint secp521r1_T_17_Y[] = {
1872 BYTES_TO_T_UINT_8( 0x25, 0x01, 0x72, 0x30, 0x90, 0x17, 0x51, 0x20 ),
1873 BYTES_TO_T_UINT_8( 0x74, 0xFB, 0x41, 0x65, 0x5C, 0xB4, 0x2D, 0xEE ),
1874 BYTES_TO_T_UINT_8( 0x66, 0xCD, 0xCD, 0xAA, 0x41, 0xCC, 0xBB, 0x07 ),
1875 BYTES_TO_T_UINT_8( 0xD4, 0xCE, 0x08, 0x0A, 0x63, 0xE9, 0xA2, 0xFF ),
1876 BYTES_TO_T_UINT_8( 0x3D, 0xA8, 0x21, 0x7F, 0x7A, 0x5B, 0x9B, 0x81 ),
1877 BYTES_TO_T_UINT_8( 0x10, 0x6B, 0x89, 0x44, 0x0A, 0x7F, 0x85, 0x5F ),
1878 BYTES_TO_T_UINT_8( 0x7D, 0xDE, 0x7C, 0x19, 0x5C, 0x65, 0x26, 0x61 ),
1879 BYTES_TO_T_UINT_8( 0xD7, 0xAC, 0x62, 0x29, 0x4A, 0xF1, 0xD0, 0x81 ),
1880 BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1881};
1882static const mbedtls_mpi_uint secp521r1_T_18_X[] = {
1883 BYTES_TO_T_UINT_8( 0x32, 0x00, 0x40, 0x87, 0xEB, 0xA9, 0x58, 0x56 ),
1884 BYTES_TO_T_UINT_8( 0xAF, 0x51, 0x0B, 0xFF, 0x56, 0x35, 0x51, 0xB3 ),
1885 BYTES_TO_T_UINT_8( 0x7B, 0xAC, 0x08, 0x94, 0x71, 0xDA, 0xEC, 0x99 ),
1886 BYTES_TO_T_UINT_8( 0x5F, 0x4D, 0xC5, 0x7B, 0x31, 0x8B, 0x8D, 0x5E ),
1887 BYTES_TO_T_UINT_8( 0x15, 0x05, 0xF1, 0x3E, 0x9E, 0x8F, 0x17, 0x8F ),
1888 BYTES_TO_T_UINT_8( 0xF0, 0x9C, 0x4B, 0x62, 0x94, 0xAD, 0x49, 0xFC ),
1889 BYTES_TO_T_UINT_8( 0x0F, 0xC9, 0xC6, 0x8F, 0xFD, 0x33, 0x44, 0x34 ),
1890 BYTES_TO_T_UINT_8( 0x5F, 0x96, 0x17, 0x7F, 0x42, 0xBE, 0xF7, 0x0D ),
1891 BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1892};
1893static const mbedtls_mpi_uint secp521r1_T_18_Y[] = {
1894 BYTES_TO_T_UINT_8( 0xFB, 0x29, 0x39, 0x13, 0x08, 0x8D, 0x91, 0x47 ),
1895 BYTES_TO_T_UINT_8( 0xF6, 0x79, 0xF9, 0x2F, 0xA9, 0x0A, 0xCF, 0xD6 ),
1896 BYTES_TO_T_UINT_8( 0xAB, 0x87, 0x7A, 0xA3, 0x19, 0xAB, 0x55, 0xAD ),
1897 BYTES_TO_T_UINT_8( 0xE8, 0x0B, 0x01, 0xC5, 0x56, 0x19, 0x9D, 0x9E ),
1898 BYTES_TO_T_UINT_8( 0x19, 0xDE, 0x82, 0x3B, 0xEA, 0xD3, 0x0B, 0x8C ),
1899 BYTES_TO_T_UINT_8( 0x65, 0x6B, 0xC7, 0xF3, 0x0F, 0x82, 0x87, 0x6C ),
1900 BYTES_TO_T_UINT_8( 0xD8, 0x2E, 0x23, 0xF2, 0x39, 0x9D, 0x49, 0x70 ),
1901 BYTES_TO_T_UINT_8( 0x31, 0xDE, 0xAF, 0x7A, 0xEE, 0xB0, 0xDA, 0x70 ),
1902 BYTES_TO_T_UINT_8( 0x63, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1903};
1904static const mbedtls_mpi_uint secp521r1_T_19_X[] = {
1905 BYTES_TO_T_UINT_8( 0x76, 0x4E, 0x2A, 0x50, 0xFD, 0x8E, 0xC0, 0xEB ),
1906 BYTES_TO_T_UINT_8( 0x52, 0x0F, 0x7C, 0x76, 0x63, 0xD8, 0x89, 0x45 ),
1907 BYTES_TO_T_UINT_8( 0xEC, 0x2D, 0xB9, 0x4E, 0xF4, 0xEE, 0x85, 0xCF ),
1908 BYTES_TO_T_UINT_8( 0xC1, 0x95, 0x5C, 0x96, 0x5D, 0xAA, 0x59, 0x0B ),
1909 BYTES_TO_T_UINT_8( 0xCA, 0xDB, 0xD2, 0x68, 0x8E, 0x5A, 0x94, 0x60 ),
1910 BYTES_TO_T_UINT_8( 0xD9, 0x02, 0xBF, 0x77, 0x9F, 0xB9, 0x4C, 0xC9 ),
1911 BYTES_TO_T_UINT_8( 0x2D, 0xDC, 0xC0, 0xCF, 0x81, 0x1E, 0xC4, 0x6C ),
1912 BYTES_TO_T_UINT_8( 0x2B, 0xCC, 0x37, 0x86, 0xDC, 0xE2, 0x64, 0x72 ),
1913 BYTES_TO_T_UINT_8( 0xD5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1914};
1915static const mbedtls_mpi_uint secp521r1_T_19_Y[] = {
1916 BYTES_TO_T_UINT_8( 0x2C, 0x30, 0xB1, 0x59, 0x20, 0x9D, 0x98, 0x28 ),
1917 BYTES_TO_T_UINT_8( 0x77, 0x0C, 0x9D, 0xF8, 0x20, 0xDC, 0x90, 0xBA ),
1918 BYTES_TO_T_UINT_8( 0xB1, 0xA0, 0xF4, 0xE7, 0x3E, 0x9C, 0x9E, 0xA2 ),
1919 BYTES_TO_T_UINT_8( 0xB5, 0x25, 0xA2, 0xB0, 0x54, 0xCD, 0x2E, 0x33 ),
1920 BYTES_TO_T_UINT_8( 0xEA, 0xD9, 0x42, 0xB0, 0x80, 0xB0, 0xA3, 0x38 ),
1921 BYTES_TO_T_UINT_8( 0x9F, 0xFE, 0x9D, 0x8D, 0x40, 0xFF, 0x27, 0x6D ),
1922 BYTES_TO_T_UINT_8( 0x3A, 0x9D, 0xA6, 0x88, 0x3A, 0x8B, 0x6F, 0x14 ),
1923 BYTES_TO_T_UINT_8( 0xB6, 0x39, 0xEE, 0x1F, 0x3F, 0xB1, 0x4F, 0x63 ),
1924 BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1925};
1926static const mbedtls_mpi_uint secp521r1_T_20_X[] = {
1927 BYTES_TO_T_UINT_8( 0x6D, 0xD7, 0x9E, 0xFF, 0xD2, 0x35, 0x67, 0x03 ),
1928 BYTES_TO_T_UINT_8( 0xCA, 0x4F, 0x15, 0x5D, 0xE3, 0xE8, 0x53, 0x86 ),
1929 BYTES_TO_T_UINT_8( 0x92, 0xF7, 0x24, 0x98, 0xA2, 0xCB, 0x11, 0x68 ),
1930 BYTES_TO_T_UINT_8( 0x06, 0x2E, 0x25, 0xE1, 0x94, 0xC5, 0xA3, 0x96 ),
1931 BYTES_TO_T_UINT_8( 0xE0, 0x82, 0x6E, 0xBA, 0xE7, 0x43, 0x25, 0xB0 ),
1932 BYTES_TO_T_UINT_8( 0x18, 0x65, 0xB4, 0x49, 0x73, 0x18, 0x35, 0x54 ),
1933 BYTES_TO_T_UINT_8( 0x59, 0x5B, 0xBC, 0x62, 0x86, 0x4C, 0xC1, 0xB7 ),
1934 BYTES_TO_T_UINT_8( 0x9B, 0xF2, 0x95, 0xA2, 0xBB, 0xA2, 0x35, 0x65 ),
1935 BYTES_TO_T_UINT_8( 0xBF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1936};
1937static const mbedtls_mpi_uint secp521r1_T_20_Y[] = {
1938 BYTES_TO_T_UINT_8( 0x72, 0x59, 0x62, 0xB0, 0x4B, 0x1E, 0xB4, 0xD8 ),
1939 BYTES_TO_T_UINT_8( 0x0D, 0x55, 0xCE, 0xB0, 0x69, 0xBA, 0x63, 0x10 ),
1940 BYTES_TO_T_UINT_8( 0x6E, 0x69, 0x86, 0xDB, 0x34, 0x7D, 0x68, 0x64 ),
1941 BYTES_TO_T_UINT_8( 0xDA, 0x06, 0xCA, 0x55, 0x44, 0x36, 0x2B, 0xBA ),
1942 BYTES_TO_T_UINT_8( 0x6C, 0xD4, 0xC4, 0x3D, 0xCD, 0x9E, 0x69, 0xA4 ),
1943 BYTES_TO_T_UINT_8( 0x3F, 0x44, 0xE4, 0xBF, 0x31, 0xE6, 0x40, 0x9F ),
1944 BYTES_TO_T_UINT_8( 0x7E, 0x4F, 0xFA, 0x75, 0xE3, 0xFB, 0x97, 0x0E ),
1945 BYTES_TO_T_UINT_8( 0x08, 0xC0, 0xBD, 0x1C, 0x48, 0xB0, 0x26, 0xD0 ),
1946 BYTES_TO_T_UINT_8( 0xD2, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1947};
1948static const mbedtls_mpi_uint secp521r1_T_21_X[] = {
1949 BYTES_TO_T_UINT_8( 0x1C, 0x7B, 0x32, 0xFA, 0xF2, 0x6D, 0x84, 0x8E ),
1950 BYTES_TO_T_UINT_8( 0xA0, 0x21, 0x03, 0x1D, 0x0D, 0x22, 0x55, 0x67 ),
1951 BYTES_TO_T_UINT_8( 0x18, 0xF9, 0x42, 0x03, 0x9C, 0xC2, 0xCB, 0xBA ),
1952 BYTES_TO_T_UINT_8( 0xF8, 0xA1, 0x96, 0xD9, 0x9D, 0x11, 0x6F, 0xBE ),
1953 BYTES_TO_T_UINT_8( 0xFF, 0x40, 0x57, 0xEB, 0x40, 0x2D, 0xC0, 0x11 ),
1954 BYTES_TO_T_UINT_8( 0x2F, 0x96, 0xBB, 0x4F, 0x2F, 0x23, 0xA8, 0x28 ),
1955 BYTES_TO_T_UINT_8( 0x3A, 0x29, 0x85, 0x21, 0xA5, 0x50, 0x62, 0x06 ),
1956 BYTES_TO_T_UINT_8( 0xC9, 0x7D, 0x92, 0xCF, 0x87, 0x0C, 0x22, 0xF9 ),
1957 BYTES_TO_T_UINT_8( 0xC9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1958};
1959static const mbedtls_mpi_uint secp521r1_T_21_Y[] = {
1960 BYTES_TO_T_UINT_8( 0x5A, 0x0E, 0xA5, 0x32, 0x5B, 0xDF, 0x9C, 0xD5 ),
1961 BYTES_TO_T_UINT_8( 0x27, 0x96, 0x37, 0x2C, 0x88, 0x35, 0x30, 0xA1 ),
1962 BYTES_TO_T_UINT_8( 0x40, 0xB4, 0x69, 0xFF, 0xEB, 0xC6, 0x94, 0x08 ),
1963 BYTES_TO_T_UINT_8( 0xC9, 0x55, 0x60, 0xAD, 0xAA, 0x58, 0x14, 0x88 ),
1964 BYTES_TO_T_UINT_8( 0x3C, 0xFF, 0xF2, 0xB2, 0xD5, 0xA7, 0xD9, 0x27 ),
1965 BYTES_TO_T_UINT_8( 0x2D, 0xAE, 0x54, 0xD2, 0x60, 0x31, 0xF3, 0x15 ),
1966 BYTES_TO_T_UINT_8( 0xBB, 0x92, 0x83, 0xE3, 0xF1, 0x42, 0x83, 0x6E ),
1967 BYTES_TO_T_UINT_8( 0x49, 0xD2, 0xC8, 0xB7, 0x76, 0x45, 0x7F, 0x7D ),
1968 BYTES_TO_T_UINT_8( 0x04, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1969};
1970static const mbedtls_mpi_uint secp521r1_T_22_X[] = {
1971 BYTES_TO_T_UINT_8( 0x4A, 0x11, 0xA4, 0xFB, 0x7A, 0x01, 0xBC, 0xC8 ),
1972 BYTES_TO_T_UINT_8( 0xCD, 0x27, 0x73, 0x8D, 0x02, 0x91, 0x27, 0x8E ),
1973 BYTES_TO_T_UINT_8( 0xA4, 0x62, 0xF6, 0xDD, 0x6B, 0xFA, 0x5B, 0xB9 ),
1974 BYTES_TO_T_UINT_8( 0xEF, 0xCA, 0xA2, 0x44, 0x2C, 0xF0, 0x28, 0xD8 ),
1975 BYTES_TO_T_UINT_8( 0x3C, 0xF1, 0x7A, 0xA2, 0x42, 0x4C, 0x50, 0xC6 ),
1976 BYTES_TO_T_UINT_8( 0x2D, 0x83, 0x3E, 0x50, 0xAB, 0x9C, 0xF7, 0x67 ),
1977 BYTES_TO_T_UINT_8( 0x1D, 0xED, 0x78, 0xCB, 0x76, 0x69, 0xDA, 0x42 ),
1978 BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x1E, 0x43, 0x27, 0x47, 0x6E, 0xDA ),
1979 BYTES_TO_T_UINT_8( 0x94, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1980};
1981static const mbedtls_mpi_uint secp521r1_T_22_Y[] = {
1982 BYTES_TO_T_UINT_8( 0xD3, 0x4F, 0x54, 0xB9, 0x3E, 0xBD, 0xD5, 0x44 ),
1983 BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x40, 0x69, 0x7F, 0x74, 0x9D, 0x32 ),
1984 BYTES_TO_T_UINT_8( 0x5A, 0x06, 0x6F, 0x67, 0x68, 0x2B, 0x4D, 0x10 ),
1985 BYTES_TO_T_UINT_8( 0xC6, 0x65, 0x41, 0xFC, 0x7C, 0x1E, 0xE8, 0xC8 ),
1986 BYTES_TO_T_UINT_8( 0xF2, 0x79, 0x37, 0xAF, 0xFD, 0xD2, 0xDA, 0x4C ),
1987 BYTES_TO_T_UINT_8( 0x33, 0xA8, 0x69, 0x56, 0x62, 0xA4, 0xE4, 0xA3 ),
1988 BYTES_TO_T_UINT_8( 0x42, 0x71, 0x73, 0x21, 0x8A, 0x17, 0x81, 0xA2 ),
1989 BYTES_TO_T_UINT_8( 0x14, 0x55, 0x8F, 0x7B, 0xB8, 0xAF, 0xF7, 0x86 ),
1990 BYTES_TO_T_UINT_8( 0xAA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1991};
1992static const mbedtls_mpi_uint secp521r1_T_23_X[] = {
1993 BYTES_TO_T_UINT_8( 0x4B, 0xD1, 0xBD, 0xBE, 0x8C, 0xBC, 0x60, 0x6E ),
1994 BYTES_TO_T_UINT_8( 0x62, 0xA6, 0x57, 0x8C, 0xAE, 0x5C, 0x19, 0xFE ),
1995 BYTES_TO_T_UINT_8( 0x7A, 0x43, 0xE4, 0xD9, 0xD8, 0x7B, 0xE7, 0x41 ),
1996 BYTES_TO_T_UINT_8( 0xED, 0xB9, 0xE4, 0x85, 0x7C, 0x2E, 0xFC, 0x20 ),
1997 BYTES_TO_T_UINT_8( 0x02, 0x2E, 0x01, 0x2A, 0x6D, 0x56, 0xBE, 0x97 ),
1998 BYTES_TO_T_UINT_8( 0x6A, 0x0C, 0x25, 0x9B, 0xAE, 0x86, 0x37, 0x43 ),
1999 BYTES_TO_T_UINT_8( 0x4A, 0x22, 0xB3, 0xCB, 0x99, 0x66, 0xB7, 0x9E ),
2000 BYTES_TO_T_UINT_8( 0x56, 0xF7, 0x90, 0xF0, 0x1B, 0x09, 0x27, 0xF7 ),
2001 BYTES_TO_T_UINT_8( 0xC8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2002};
2003static const mbedtls_mpi_uint secp521r1_T_23_Y[] = {
2004 BYTES_TO_T_UINT_8( 0x1C, 0x16, 0x08, 0xEF, 0x39, 0x64, 0x49, 0x31 ),
2005 BYTES_TO_T_UINT_8( 0x08, 0xA0, 0xE3, 0x97, 0xA9, 0x07, 0x54, 0x26 ),
2006 BYTES_TO_T_UINT_8( 0xCD, 0xFF, 0xE2, 0x00, 0x07, 0x21, 0x88, 0x20 ),
2007 BYTES_TO_T_UINT_8( 0x16, 0xFD, 0x59, 0x53, 0x05, 0x6C, 0x42, 0x27 ),
2008 BYTES_TO_T_UINT_8( 0x8F, 0xF7, 0x39, 0x5C, 0x82, 0x36, 0xE8, 0x03 ),
2009 BYTES_TO_T_UINT_8( 0x2E, 0x83, 0xA8, 0xE2, 0xA8, 0x43, 0x07, 0x38 ),
2010 BYTES_TO_T_UINT_8( 0xE6, 0xAF, 0x2B, 0x79, 0xED, 0xD8, 0x39, 0x87 ),
2011 BYTES_TO_T_UINT_8( 0x15, 0x20, 0x91, 0x7A, 0xC4, 0x07, 0xEF, 0x6C ),
2012 BYTES_TO_T_UINT_8( 0x28, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2013};
2014static const mbedtls_mpi_uint secp521r1_T_24_X[] = {
2015 BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x2F, 0xAA, 0x0C, 0x94, 0x0E, 0x5A ),
2016 BYTES_TO_T_UINT_8( 0xB7, 0x81, 0x87, 0x41, 0x23, 0xEB, 0x55, 0x7C ),
2017 BYTES_TO_T_UINT_8( 0xB8, 0x53, 0xCC, 0x79, 0xB6, 0xEB, 0x6C, 0xCC ),
2018 BYTES_TO_T_UINT_8( 0xF4, 0x77, 0x73, 0x9D, 0xFC, 0x64, 0x6F, 0x7F ),
2019 BYTES_TO_T_UINT_8( 0x3C, 0x40, 0xE3, 0x6D, 0x1C, 0x16, 0x71, 0x15 ),
2020 BYTES_TO_T_UINT_8( 0x5A, 0xF4, 0x1B, 0xFF, 0x1C, 0x2F, 0xA5, 0xD7 ),
2021 BYTES_TO_T_UINT_8( 0x06, 0x0E, 0x0B, 0x11, 0xF4, 0x8D, 0x93, 0xAF ),
2022 BYTES_TO_T_UINT_8( 0x58, 0xC5, 0x64, 0x6F, 0x24, 0x19, 0xF2, 0x9B ),
2023 BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2024};
2025static const mbedtls_mpi_uint secp521r1_T_24_Y[] = {
2026 BYTES_TO_T_UINT_8( 0x52, 0xB3, 0xAF, 0xA5, 0x0E, 0x4F, 0x5E, 0xE1 ),
2027 BYTES_TO_T_UINT_8( 0x0F, 0x77, 0xCA, 0xF2, 0x6D, 0xC5, 0xF6, 0x9F ),
2028 BYTES_TO_T_UINT_8( 0x90, 0x18, 0x8E, 0x33, 0x68, 0x6C, 0xE8, 0xE0 ),
2029 BYTES_TO_T_UINT_8( 0xFC, 0x8B, 0x80, 0x90, 0x19, 0x7F, 0x90, 0x96 ),
2030 BYTES_TO_T_UINT_8( 0x5B, 0x80, 0x6B, 0x68, 0xE2, 0x7D, 0xD4, 0xD0 ),
2031 BYTES_TO_T_UINT_8( 0x2A, 0xC1, 0x67, 0xB3, 0x72, 0xCB, 0xBF, 0x2F ),
2032 BYTES_TO_T_UINT_8( 0x4F, 0xD5, 0xD3, 0x1D, 0x14, 0x58, 0x0A, 0x80 ),
2033 BYTES_TO_T_UINT_8( 0x79, 0x7A, 0x65, 0x98, 0xB3, 0x07, 0x4B, 0x2F ),
2034 BYTES_TO_T_UINT_8( 0xF3, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2035};
2036static const mbedtls_mpi_uint secp521r1_T_25_X[] = {
2037 BYTES_TO_T_UINT_8( 0x2A, 0x87, 0x0F, 0x5F, 0xCF, 0xA2, 0x01, 0x08 ),
2038 BYTES_TO_T_UINT_8( 0x0C, 0xC9, 0xC8, 0x6E, 0x35, 0x87, 0xA5, 0x67 ),
2039 BYTES_TO_T_UINT_8( 0x94, 0x3E, 0x91, 0xA0, 0xAB, 0x24, 0x1E, 0xF2 ),
2040 BYTES_TO_T_UINT_8( 0xB9, 0xBC, 0x02, 0x35, 0x70, 0xC1, 0x5F, 0x98 ),
2041 BYTES_TO_T_UINT_8( 0x26, 0x59, 0xA0, 0x50, 0x04, 0x80, 0x52, 0x85 ),
2042 BYTES_TO_T_UINT_8( 0xF8, 0x56, 0x6E, 0x42, 0x8F, 0x8C, 0x91, 0x65 ),
2043 BYTES_TO_T_UINT_8( 0xAC, 0xA2, 0xCB, 0xA5, 0xDE, 0x14, 0x24, 0x38 ),
2044 BYTES_TO_T_UINT_8( 0x00, 0xCB, 0x74, 0x28, 0xE6, 0xA7, 0xE7, 0xC3 ),
2045 BYTES_TO_T_UINT_8( 0x5F, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2046};
2047static const mbedtls_mpi_uint secp521r1_T_25_Y[] = {
2048 BYTES_TO_T_UINT_8( 0x35, 0x73, 0xA8, 0x8F, 0x9E, 0x0E, 0x63, 0x96 ),
2049 BYTES_TO_T_UINT_8( 0xC8, 0x1B, 0x77, 0xC7, 0xC1, 0x38, 0xF9, 0xDC ),
2050 BYTES_TO_T_UINT_8( 0xD8, 0x3C, 0xCF, 0xA8, 0x7A, 0xD7, 0xF3, 0xC4 ),
2051 BYTES_TO_T_UINT_8( 0xDD, 0x5F, 0x9A, 0xC9, 0xAD, 0xE9, 0x1A, 0x93 ),
2052 BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0x2B, 0x5E, 0xD5, 0x81, 0x95, 0xA8 ),
2053 BYTES_TO_T_UINT_8( 0x19, 0x88, 0x75, 0x29, 0x1F, 0xC7, 0xC7, 0xD0 ),
2054 BYTES_TO_T_UINT_8( 0xD8, 0xA9, 0x5A, 0x4D, 0x63, 0x95, 0xF9, 0x4E ),
2055 BYTES_TO_T_UINT_8( 0xEB, 0xCD, 0x04, 0x8F, 0xCD, 0x91, 0xDE, 0xC6 ),
2056 BYTES_TO_T_UINT_8( 0x71, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2057};
2058static const mbedtls_mpi_uint secp521r1_T_26_X[] = {
2059 BYTES_TO_T_UINT_8( 0x88, 0xD4, 0xFD, 0x25, 0x11, 0x99, 0x6E, 0xEA ),
2060 BYTES_TO_T_UINT_8( 0xB0, 0x83, 0x01, 0x3D, 0xFB, 0x56, 0xA5, 0x4E ),
2061 BYTES_TO_T_UINT_8( 0xC2, 0x3A, 0xDC, 0x74, 0xC2, 0xD7, 0xCF, 0xE8 ),
2062 BYTES_TO_T_UINT_8( 0x8F, 0xBD, 0xF1, 0xDD, 0xA3, 0x07, 0x03, 0xE2 ),
2063 BYTES_TO_T_UINT_8( 0x7B, 0xBE, 0xE9, 0x2E, 0x58, 0x84, 0x66, 0xFC ),
2064 BYTES_TO_T_UINT_8( 0x71, 0x20, 0x78, 0x37, 0x79, 0x0B, 0xA6, 0x64 ),
2065 BYTES_TO_T_UINT_8( 0xE3, 0xF2, 0xAC, 0x65, 0xC8, 0xC9, 0x2F, 0x61 ),
2066 BYTES_TO_T_UINT_8( 0x26, 0x93, 0xE5, 0x0D, 0x0C, 0xC6, 0xB8, 0xCB ),
2067 BYTES_TO_T_UINT_8( 0x9C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2068};
2069static const mbedtls_mpi_uint secp521r1_T_26_Y[] = {
2070 BYTES_TO_T_UINT_8( 0x69, 0xAD, 0x5C, 0x19, 0x12, 0x61, 0x0E, 0x25 ),
2071 BYTES_TO_T_UINT_8( 0x39, 0x4F, 0x0B, 0x1F, 0x49, 0x7E, 0xCD, 0x81 ),
2072 BYTES_TO_T_UINT_8( 0x46, 0x2E, 0x30, 0x61, 0xDB, 0x08, 0x68, 0x9B ),
2073 BYTES_TO_T_UINT_8( 0x41, 0x78, 0xAF, 0xB3, 0x08, 0xC1, 0x69, 0xE5 ),
2074 BYTES_TO_T_UINT_8( 0xC4, 0x5F, 0x5D, 0xC1, 0x57, 0x6F, 0xD8, 0x34 ),
2075 BYTES_TO_T_UINT_8( 0x38, 0xD3, 0x6A, 0xF7, 0xFD, 0x86, 0xE5, 0xB3 ),
2076 BYTES_TO_T_UINT_8( 0xA8, 0x63, 0xBD, 0x70, 0x7B, 0x47, 0xE8, 0x6D ),
2077 BYTES_TO_T_UINT_8( 0x18, 0x62, 0xC8, 0x7E, 0x9D, 0x11, 0x2B, 0xA5 ),
2078 BYTES_TO_T_UINT_8( 0xB6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2079};
2080static const mbedtls_mpi_uint secp521r1_T_27_X[] = {
2081 BYTES_TO_T_UINT_8( 0xE2, 0x84, 0xFD, 0xD5, 0x9A, 0x56, 0x7F, 0x5C ),
2082 BYTES_TO_T_UINT_8( 0x7C, 0xBB, 0xA4, 0x6F, 0x12, 0x6E, 0x4D, 0xF8 ),
2083 BYTES_TO_T_UINT_8( 0x1D, 0x08, 0xA1, 0x82, 0x9C, 0x62, 0x74, 0x7B ),
2084 BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x22, 0x05, 0x1D, 0x15, 0x35, 0x79 ),
2085 BYTES_TO_T_UINT_8( 0x9A, 0x88, 0xCF, 0x5C, 0x05, 0x78, 0xFB, 0x94 ),
2086 BYTES_TO_T_UINT_8( 0xAC, 0x6B, 0x2F, 0x79, 0x09, 0x73, 0x67, 0xEC ),
2087 BYTES_TO_T_UINT_8( 0xD8, 0xA0, 0x80, 0xD8, 0xE8, 0xEC, 0xFB, 0x42 ),
2088 BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0B, 0xB7, 0x81, 0x48, 0x7B, 0xD9 ),
2089 BYTES_TO_T_UINT_8( 0xE3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2090};
2091static const mbedtls_mpi_uint secp521r1_T_27_Y[] = {
2092 BYTES_TO_T_UINT_8( 0xE8, 0x53, 0xA9, 0xED, 0x61, 0x92, 0xD7, 0x85 ),
2093 BYTES_TO_T_UINT_8( 0x26, 0x49, 0xD9, 0x5D, 0x9B, 0x4E, 0x89, 0x35 ),
2094 BYTES_TO_T_UINT_8( 0xB8, 0x12, 0xEB, 0x9A, 0xC9, 0xCB, 0xC1, 0x95 ),
2095 BYTES_TO_T_UINT_8( 0x35, 0xDC, 0x95, 0x16, 0xFE, 0x29, 0x70, 0x01 ),
2096 BYTES_TO_T_UINT_8( 0x64, 0x33, 0xB1, 0xD6, 0x78, 0xB9, 0xE2, 0x36 ),
2097 BYTES_TO_T_UINT_8( 0x34, 0xCE, 0x88, 0xC3, 0xFD, 0x7A, 0x6B, 0xB8 ),
2098 BYTES_TO_T_UINT_8( 0x40, 0x1E, 0x50, 0x1E, 0xAF, 0xB1, 0x25, 0x2D ),
2099 BYTES_TO_T_UINT_8( 0xC1, 0xE7, 0xD7, 0xD5, 0xBD, 0x7A, 0x12, 0xF9 ),
2100 BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2101};
2102static const mbedtls_mpi_uint secp521r1_T_28_X[] = {
2103 BYTES_TO_T_UINT_8( 0x22, 0xAA, 0xA2, 0x80, 0x5D, 0x8F, 0xCD, 0xC8 ),
2104 BYTES_TO_T_UINT_8( 0x48, 0x39, 0x79, 0x64, 0xA1, 0x67, 0x3C, 0xB7 ),
2105 BYTES_TO_T_UINT_8( 0x3D, 0xC7, 0x49, 0xFF, 0x7F, 0xAC, 0xAB, 0x55 ),
2106 BYTES_TO_T_UINT_8( 0x81, 0x54, 0x3E, 0x83, 0xF0, 0x3D, 0xBC, 0xB5 ),
2107 BYTES_TO_T_UINT_8( 0x87, 0x92, 0x4A, 0x38, 0x42, 0x8A, 0xAB, 0xF6 ),
2108 BYTES_TO_T_UINT_8( 0xE7, 0x0B, 0x4F, 0xEE, 0x9E, 0x92, 0xA5, 0xBE ),
2109 BYTES_TO_T_UINT_8( 0xBA, 0xDD, 0x19, 0x96, 0xF2, 0xF0, 0x6B, 0x2E ),
2110 BYTES_TO_T_UINT_8( 0xBE, 0xFC, 0xDD, 0xB2, 0x8A, 0xE5, 0x4C, 0x22 ),
2111 BYTES_TO_T_UINT_8( 0xD4, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2112};
2113static const mbedtls_mpi_uint secp521r1_T_28_Y[] = {
2114 BYTES_TO_T_UINT_8( 0xB7, 0x06, 0x49, 0xAC, 0x99, 0x7E, 0xF8, 0x12 ),
2115 BYTES_TO_T_UINT_8( 0x76, 0xC8, 0x01, 0x51, 0xEA, 0xF6, 0x52, 0xE7 ),
2116 BYTES_TO_T_UINT_8( 0x43, 0x89, 0x66, 0x2B, 0x1F, 0x9B, 0x2A, 0xA3 ),
2117 BYTES_TO_T_UINT_8( 0xDF, 0x0F, 0x95, 0x07, 0x2B, 0x6C, 0x6E, 0x9E ),
2118 BYTES_TO_T_UINT_8( 0x24, 0xC3, 0xB4, 0xBB, 0x91, 0x1F, 0xA3, 0x72 ),
2119 BYTES_TO_T_UINT_8( 0x5F, 0x6E, 0x54, 0x28, 0x7B, 0x9C, 0x79, 0x2E ),
2120 BYTES_TO_T_UINT_8( 0x03, 0x45, 0xFF, 0xA6, 0xDA, 0xA2, 0x83, 0x71 ),
2121 BYTES_TO_T_UINT_8( 0xEB, 0xDE, 0x8F, 0x17, 0x37, 0x82, 0xCB, 0xE2 ),
2122 BYTES_TO_T_UINT_8( 0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2123};
2124static const mbedtls_mpi_uint secp521r1_T_29_X[] = {
2125 BYTES_TO_T_UINT_8( 0xD8, 0x94, 0x3F, 0x26, 0xC9, 0x1D, 0xD9, 0xAE ),
2126 BYTES_TO_T_UINT_8( 0x09, 0x97, 0x28, 0x20, 0xCD, 0xC1, 0xF3, 0x40 ),
2127 BYTES_TO_T_UINT_8( 0x95, 0xC9, 0xB5, 0x60, 0x9B, 0x1E, 0xDC, 0x74 ),
2128 BYTES_TO_T_UINT_8( 0x5B, 0xB9, 0x5B, 0x7D, 0xA0, 0xB2, 0x8C, 0xF0 ),
2129 BYTES_TO_T_UINT_8( 0x33, 0xD1, 0x42, 0xE6, 0x39, 0x33, 0x6D, 0xBB ),
2130 BYTES_TO_T_UINT_8( 0x5D, 0xC0, 0xFC, 0xD2, 0x14, 0x5D, 0x3E, 0x3C ),
2131 BYTES_TO_T_UINT_8( 0x78, 0x4A, 0x3E, 0x40, 0x16, 0x93, 0x15, 0xCF ),
2132 BYTES_TO_T_UINT_8( 0xFA, 0x24, 0xC1, 0x27, 0x27, 0xE5, 0x4B, 0xD8 ),
2133 BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2134};
2135static const mbedtls_mpi_uint secp521r1_T_29_Y[] = {
2136 BYTES_TO_T_UINT_8( 0x1D, 0x50, 0xD8, 0xBC, 0xC1, 0x46, 0x22, 0xBB ),
2137 BYTES_TO_T_UINT_8( 0xAD, 0x0E, 0x60, 0xA1, 0xB3, 0x50, 0xD4, 0x86 ),
2138 BYTES_TO_T_UINT_8( 0x80, 0xB1, 0x26, 0xB6, 0x6D, 0x47, 0x5A, 0x6F ),
2139 BYTES_TO_T_UINT_8( 0x45, 0xAC, 0x11, 0x35, 0x3E, 0xB9, 0xF4, 0x01 ),
2140 BYTES_TO_T_UINT_8( 0x58, 0x97, 0xFA, 0xBB, 0x6B, 0x39, 0x13, 0xD8 ),
2141 BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x34, 0x12, 0x75, 0x8E, 0x9B, 0xC6 ),
2142 BYTES_TO_T_UINT_8( 0x2C, 0x9E, 0xCD, 0x29, 0xB6, 0xEF, 0x8D, 0x10 ),
2143 BYTES_TO_T_UINT_8( 0x47, 0xAC, 0xE9, 0x25, 0x27, 0xBB, 0x78, 0x47 ),
2144 BYTES_TO_T_UINT_8( 0x2F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2145};
2146static const mbedtls_mpi_uint secp521r1_T_30_X[] = {
2147 BYTES_TO_T_UINT_8( 0x30, 0x7A, 0xA8, 0xD3, 0xE3, 0x66, 0xE5, 0x66 ),
2148 BYTES_TO_T_UINT_8( 0x2F, 0x4C, 0xC4, 0x2C, 0x76, 0x81, 0x50, 0x32 ),
2149 BYTES_TO_T_UINT_8( 0xEE, 0x71, 0x08, 0xB8, 0x52, 0x7C, 0xAF, 0xDC ),
2150 BYTES_TO_T_UINT_8( 0x45, 0x59, 0x24, 0xDD, 0xFB, 0x2F, 0xD0, 0xDA ),
2151 BYTES_TO_T_UINT_8( 0xB7, 0xCD, 0x56, 0xE9, 0xAC, 0x91, 0xE6, 0xB9 ),
2152 BYTES_TO_T_UINT_8( 0xE5, 0x64, 0x20, 0xC6, 0x9F, 0xE4, 0xEF, 0xDF ),
2153 BYTES_TO_T_UINT_8( 0x6D, 0x2C, 0x8F, 0x8C, 0x97, 0xF6, 0x22, 0xC3 ),
2154 BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0x88, 0xAA, 0xA8, 0xD7, 0xA5, 0x68 ),
2155 BYTES_TO_T_UINT_8( 0xDE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2156};
2157static const mbedtls_mpi_uint secp521r1_T_30_Y[] = {
2158 BYTES_TO_T_UINT_8( 0x21, 0x6C, 0xAE, 0x83, 0xB1, 0x55, 0x55, 0xEE ),
2159 BYTES_TO_T_UINT_8( 0xB0, 0x67, 0x84, 0x47, 0x7C, 0x83, 0x5C, 0x89 ),
2160 BYTES_TO_T_UINT_8( 0x5B, 0x10, 0x4D, 0xDD, 0x30, 0x60, 0xB0, 0xE6 ),
2161 BYTES_TO_T_UINT_8( 0x59, 0xA7, 0x36, 0x76, 0x24, 0x32, 0x9F, 0x9D ),
2162 BYTES_TO_T_UINT_8( 0xDD, 0x42, 0x81, 0xFB, 0xA4, 0x2E, 0x13, 0x68 ),
2163 BYTES_TO_T_UINT_8( 0x87, 0x94, 0x91, 0xFF, 0x99, 0xA0, 0x09, 0x61 ),
2164 BYTES_TO_T_UINT_8( 0x5D, 0x83, 0xA1, 0x76, 0xAF, 0x37, 0x5C, 0x77 ),
2165 BYTES_TO_T_UINT_8( 0x1E, 0xA8, 0x04, 0x86, 0xC4, 0xA9, 0x79, 0x42 ),
2166 BYTES_TO_T_UINT_8( 0x93, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2167};
2168static const mbedtls_mpi_uint secp521r1_T_31_X[] = {
2169 BYTES_TO_T_UINT_8( 0xB6, 0x8C, 0xC2, 0x34, 0xFB, 0x83, 0x28, 0x27 ),
2170 BYTES_TO_T_UINT_8( 0xA4, 0x03, 0x7D, 0x5E, 0x9E, 0x0E, 0xB0, 0x22 ),
2171 BYTES_TO_T_UINT_8( 0xA2, 0x02, 0x46, 0x7F, 0xB9, 0xAC, 0xBB, 0x23 ),
2172 BYTES_TO_T_UINT_8( 0x06, 0xED, 0x48, 0xC2, 0x96, 0x4D, 0x56, 0x27 ),
2173 BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xC5, 0xD1, 0xE6, 0x1C, 0x7E, 0x9B ),
2174 BYTES_TO_T_UINT_8( 0x92, 0x2E, 0x18, 0x71, 0x2D, 0x7B, 0xD7, 0xB3 ),
2175 BYTES_TO_T_UINT_8( 0xAB, 0x46, 0x9D, 0xDE, 0xAA, 0x78, 0x8E, 0xB1 ),
2176 BYTES_TO_T_UINT_8( 0x4D, 0xD7, 0x69, 0x2E, 0xE1, 0xD9, 0x48, 0xDE ),
2177 BYTES_TO_T_UINT_8( 0xFB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2178};
2179static const mbedtls_mpi_uint secp521r1_T_31_Y[] = {
2180 BYTES_TO_T_UINT_8( 0xAF, 0xFF, 0x9E, 0x09, 0x22, 0x22, 0xE6, 0x8D ),
2181 BYTES_TO_T_UINT_8( 0x6C, 0x14, 0x28, 0x13, 0x1B, 0x62, 0x12, 0x22 ),
2182 BYTES_TO_T_UINT_8( 0xCC, 0x7F, 0x67, 0x03, 0xB0, 0xC0, 0xF3, 0x05 ),
2183 BYTES_TO_T_UINT_8( 0xC0, 0xC3, 0x0F, 0xFB, 0x25, 0x48, 0x3E, 0xF4 ),
2184 BYTES_TO_T_UINT_8( 0x0B, 0x6E, 0x53, 0x98, 0x36, 0xB3, 0xD3, 0x94 ),
2185 BYTES_TO_T_UINT_8( 0xEB, 0x81, 0x54, 0x22, 0xA4, 0xCC, 0xC1, 0x22 ),
2186 BYTES_TO_T_UINT_8( 0xF5, 0xBA, 0xFC, 0xA9, 0xDF, 0x68, 0x86, 0x2B ),
2187 BYTES_TO_T_UINT_8( 0x71, 0x92, 0x0E, 0xC3, 0xF2, 0x58, 0xE8, 0x51 ),
2188 BYTES_TO_T_UINT_8( 0xE9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2189};
2190static const mbedtls_ecp_point secp521r1_T[32] = {
2191 ECP_POINT_INIT_XY_Z1(secp521r1_T_0_X, secp521r1_T_0_Y),
2192 ECP_POINT_INIT_XY_Z0(secp521r1_T_1_X, secp521r1_T_1_Y),
2193 ECP_POINT_INIT_XY_Z0(secp521r1_T_2_X, secp521r1_T_2_Y),
2194 ECP_POINT_INIT_XY_Z0(secp521r1_T_3_X, secp521r1_T_3_Y),
2195 ECP_POINT_INIT_XY_Z0(secp521r1_T_4_X, secp521r1_T_4_Y),
2196 ECP_POINT_INIT_XY_Z0(secp521r1_T_5_X, secp521r1_T_5_Y),
2197 ECP_POINT_INIT_XY_Z0(secp521r1_T_6_X, secp521r1_T_6_Y),
2198 ECP_POINT_INIT_XY_Z0(secp521r1_T_7_X, secp521r1_T_7_Y),
2199 ECP_POINT_INIT_XY_Z0(secp521r1_T_8_X, secp521r1_T_8_Y),
2200 ECP_POINT_INIT_XY_Z0(secp521r1_T_9_X, secp521r1_T_9_Y),
2201 ECP_POINT_INIT_XY_Z0(secp521r1_T_10_X, secp521r1_T_10_Y),
2202 ECP_POINT_INIT_XY_Z0(secp521r1_T_11_X, secp521r1_T_11_Y),
2203 ECP_POINT_INIT_XY_Z0(secp521r1_T_12_X, secp521r1_T_12_Y),
2204 ECP_POINT_INIT_XY_Z0(secp521r1_T_13_X, secp521r1_T_13_Y),
2205 ECP_POINT_INIT_XY_Z0(secp521r1_T_14_X, secp521r1_T_14_Y),
2206 ECP_POINT_INIT_XY_Z0(secp521r1_T_15_X, secp521r1_T_15_Y),
2207 ECP_POINT_INIT_XY_Z0(secp521r1_T_16_X, secp521r1_T_16_Y),
2208 ECP_POINT_INIT_XY_Z0(secp521r1_T_17_X, secp521r1_T_17_Y),
2209 ECP_POINT_INIT_XY_Z0(secp521r1_T_18_X, secp521r1_T_18_Y),
2210 ECP_POINT_INIT_XY_Z0(secp521r1_T_19_X, secp521r1_T_19_Y),
2211 ECP_POINT_INIT_XY_Z0(secp521r1_T_20_X, secp521r1_T_20_Y),
2212 ECP_POINT_INIT_XY_Z0(secp521r1_T_21_X, secp521r1_T_21_Y),
2213 ECP_POINT_INIT_XY_Z0(secp521r1_T_22_X, secp521r1_T_22_Y),
2214 ECP_POINT_INIT_XY_Z0(secp521r1_T_23_X, secp521r1_T_23_Y),
2215 ECP_POINT_INIT_XY_Z0(secp521r1_T_24_X, secp521r1_T_24_Y),
2216 ECP_POINT_INIT_XY_Z0(secp521r1_T_25_X, secp521r1_T_25_Y),
2217 ECP_POINT_INIT_XY_Z0(secp521r1_T_26_X, secp521r1_T_26_Y),
2218 ECP_POINT_INIT_XY_Z0(secp521r1_T_27_X, secp521r1_T_27_Y),
2219 ECP_POINT_INIT_XY_Z0(secp521r1_T_28_X, secp521r1_T_28_Y),
2220 ECP_POINT_INIT_XY_Z0(secp521r1_T_29_X, secp521r1_T_29_Y),
2221 ECP_POINT_INIT_XY_Z0(secp521r1_T_30_X, secp521r1_T_30_Y),
2222 ECP_POINT_INIT_XY_Z0(secp521r1_T_31_X, secp521r1_T_31_Y),
2223};
2224#else
2225#define secp521r1_T NULL
2226#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002227#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002228
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002229#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
2230static const mbedtls_mpi_uint secp192k1_p[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002231 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2232 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2233 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2234};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002235static const mbedtls_mpi_uint secp192k1_a[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002236 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2237};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002238static const mbedtls_mpi_uint secp192k1_b[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002239 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
2240};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002241static const mbedtls_mpi_uint secp192k1_gx[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002242 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
2243 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
2244 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
2245};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002246static const mbedtls_mpi_uint secp192k1_gy[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002247 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
2248 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
2249 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
2250};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002251static const mbedtls_mpi_uint secp192k1_n[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002252 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
2253 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
2254 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2255};
kXuanba9cb762021-04-08 14:32:06 +08002256
2257#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2258static const mbedtls_mpi_uint secp192k1_T_0_X[] = {
2259 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
2260 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
2261 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
2262};
2263static const mbedtls_mpi_uint secp192k1_T_0_Y[] = {
2264 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
2265 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
2266 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
2267};
2268static const mbedtls_mpi_uint secp192k1_T_1_X[] = {
2269 BYTES_TO_T_UINT_8( 0x6F, 0x77, 0x3D, 0x0D, 0x85, 0x48, 0xA8, 0xA9 ),
2270 BYTES_TO_T_UINT_8( 0x62, 0x07, 0xDF, 0x1D, 0xB3, 0xB3, 0x01, 0x54 ),
2271 BYTES_TO_T_UINT_8( 0x05, 0x86, 0xF6, 0xAF, 0x19, 0x2A, 0x88, 0x2E ),
2272};
2273static const mbedtls_mpi_uint secp192k1_T_1_Y[] = {
2274 BYTES_TO_T_UINT_8( 0x33, 0x90, 0xB6, 0x2F, 0x48, 0x36, 0x4C, 0x5B ),
2275 BYTES_TO_T_UINT_8( 0xDB, 0x11, 0x14, 0xA6, 0xCB, 0xBA, 0x15, 0xD9 ),
2276 BYTES_TO_T_UINT_8( 0x7E, 0xB0, 0xF2, 0xD4, 0xC9, 0xDA, 0xBA, 0xD7 ),
2277};
2278static const mbedtls_mpi_uint secp192k1_T_2_X[] = {
2279 BYTES_TO_T_UINT_8( 0xE4, 0xC1, 0x9C, 0xE6, 0xBB, 0xFB, 0xCF, 0x23 ),
2280 BYTES_TO_T_UINT_8( 0x93, 0x19, 0xAC, 0x5A, 0xC9, 0x8A, 0x1C, 0x75 ),
2281 BYTES_TO_T_UINT_8( 0xC1, 0xF6, 0x76, 0x86, 0x89, 0x27, 0x8D, 0x28 ),
2282};
2283static const mbedtls_mpi_uint secp192k1_T_2_Y[] = {
2284 BYTES_TO_T_UINT_8( 0x4B, 0xE0, 0x6F, 0x34, 0xBA, 0x5E, 0xD3, 0x96 ),
2285 BYTES_TO_T_UINT_8( 0x6A, 0xDC, 0xA6, 0x87, 0xC9, 0x9D, 0xC0, 0x82 ),
2286 BYTES_TO_T_UINT_8( 0x09, 0x11, 0x7E, 0xD6, 0xF7, 0x33, 0xFC, 0xE4 ),
2287};
2288static const mbedtls_mpi_uint secp192k1_T_3_X[] = {
2289 BYTES_TO_T_UINT_8( 0xC2, 0x37, 0x3E, 0xC0, 0x7F, 0x62, 0xE7, 0x54 ),
2290 BYTES_TO_T_UINT_8( 0xA5, 0x3B, 0x69, 0x9D, 0x44, 0xBC, 0x82, 0x99 ),
2291 BYTES_TO_T_UINT_8( 0xD4, 0x84, 0xB3, 0x5F, 0x2B, 0xA5, 0x9E, 0x2C ),
2292};
2293static const mbedtls_mpi_uint secp192k1_T_3_Y[] = {
2294 BYTES_TO_T_UINT_8( 0x1D, 0x95, 0xEB, 0x4C, 0x04, 0xB4, 0xF4, 0x75 ),
2295 BYTES_TO_T_UINT_8( 0x55, 0xAD, 0x4B, 0xD5, 0x9A, 0xEB, 0xC4, 0x4E ),
2296 BYTES_TO_T_UINT_8( 0xC9, 0xB1, 0xC5, 0x59, 0xE3, 0xD5, 0x16, 0x2A ),
2297};
2298static const mbedtls_mpi_uint secp192k1_T_4_X[] = {
2299 BYTES_TO_T_UINT_8( 0x48, 0x2A, 0xCC, 0xAC, 0xD0, 0xEE, 0x50, 0xEC ),
2300 BYTES_TO_T_UINT_8( 0x99, 0x83, 0xE0, 0x5B, 0x14, 0x44, 0x52, 0x20 ),
2301 BYTES_TO_T_UINT_8( 0xD6, 0x15, 0x2D, 0x78, 0xF6, 0x51, 0x32, 0xCF ),
2302};
2303static const mbedtls_mpi_uint secp192k1_T_4_Y[] = {
2304 BYTES_TO_T_UINT_8( 0x86, 0x36, 0x9B, 0xDD, 0xF8, 0xDD, 0xEF, 0xB2 ),
2305 BYTES_TO_T_UINT_8( 0x0B, 0xB1, 0x6A, 0x2B, 0xAF, 0xEB, 0x2B, 0xB1 ),
2306 BYTES_TO_T_UINT_8( 0xC9, 0x87, 0x7A, 0x66, 0x5D, 0x5B, 0xDF, 0x8F ),
2307};
2308static const mbedtls_mpi_uint secp192k1_T_5_X[] = {
2309 BYTES_TO_T_UINT_8( 0x62, 0x45, 0xE5, 0x81, 0x9B, 0xEB, 0x37, 0x23 ),
2310 BYTES_TO_T_UINT_8( 0xB3, 0x29, 0xE2, 0x20, 0x64, 0x23, 0x6B, 0x6E ),
2311 BYTES_TO_T_UINT_8( 0xFE, 0x1D, 0x41, 0xE1, 0x9B, 0x61, 0x7B, 0xD9 ),
2312};
2313static const mbedtls_mpi_uint secp192k1_T_5_Y[] = {
2314 BYTES_TO_T_UINT_8( 0x75, 0x57, 0xA3, 0x0A, 0x13, 0xE4, 0x59, 0x15 ),
2315 BYTES_TO_T_UINT_8( 0x79, 0x6E, 0x4A, 0x48, 0x84, 0x90, 0xAC, 0xC7 ),
2316 BYTES_TO_T_UINT_8( 0x9C, 0xB8, 0xF5, 0xF3, 0xDE, 0xA0, 0xA1, 0x1D ),
2317};
2318static const mbedtls_mpi_uint secp192k1_T_6_X[] = {
2319 BYTES_TO_T_UINT_8( 0xA3, 0x32, 0x81, 0xA9, 0x91, 0x5A, 0x4E, 0x33 ),
2320 BYTES_TO_T_UINT_8( 0xCB, 0xA8, 0x90, 0xBE, 0x0F, 0xEC, 0xC0, 0x85 ),
2321 BYTES_TO_T_UINT_8( 0x80, 0x30, 0xD7, 0x08, 0xAE, 0xC4, 0x3A, 0xA5 ),
2322};
2323static const mbedtls_mpi_uint secp192k1_T_6_Y[] = {
2324 BYTES_TO_T_UINT_8( 0xBC, 0x55, 0xE3, 0x76, 0xB3, 0x64, 0x74, 0x9F ),
2325 BYTES_TO_T_UINT_8( 0x3F, 0x75, 0xD4, 0xDB, 0x98, 0xD7, 0x39, 0xAE ),
2326 BYTES_TO_T_UINT_8( 0xD4, 0xEB, 0x8A, 0xAB, 0x16, 0xD9, 0xD4, 0x0B ),
2327};
2328static const mbedtls_mpi_uint secp192k1_T_7_X[] = {
2329 BYTES_TO_T_UINT_8( 0x41, 0xBE, 0xF9, 0xC7, 0xC7, 0xBA, 0xF3, 0xA1 ),
2330 BYTES_TO_T_UINT_8( 0xC2, 0x85, 0x59, 0xF3, 0x60, 0x41, 0x02, 0xD2 ),
2331 BYTES_TO_T_UINT_8( 0x46, 0x1C, 0x4A, 0xA4, 0xC7, 0xED, 0x66, 0xBC ),
2332};
2333static const mbedtls_mpi_uint secp192k1_T_7_Y[] = {
2334 BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x2E, 0x46, 0x52, 0x18, 0x87, 0x14 ),
2335 BYTES_TO_T_UINT_8( 0xFF, 0x35, 0x5A, 0x75, 0xAC, 0x4D, 0x75, 0x91 ),
2336 BYTES_TO_T_UINT_8( 0xCE, 0x2F, 0xAC, 0xFC, 0xBC, 0xE6, 0x93, 0x5E ),
2337};
2338static const mbedtls_mpi_uint secp192k1_T_8_X[] = {
2339 BYTES_TO_T_UINT_8( 0x87, 0x4D, 0xC9, 0x18, 0xE9, 0x00, 0xEB, 0x33 ),
2340 BYTES_TO_T_UINT_8( 0x1A, 0x69, 0x72, 0x07, 0x5A, 0x59, 0xA8, 0x26 ),
2341 BYTES_TO_T_UINT_8( 0xB6, 0x65, 0x83, 0x20, 0x10, 0xF9, 0x69, 0x82 ),
2342};
2343static const mbedtls_mpi_uint secp192k1_T_8_Y[] = {
2344 BYTES_TO_T_UINT_8( 0x8B, 0x56, 0x7F, 0x9F, 0xBF, 0x46, 0x0C, 0x7E ),
2345 BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0xF0, 0xDC, 0xDF, 0x2D, 0xE6, 0xE5 ),
2346 BYTES_TO_T_UINT_8( 0x09, 0xF0, 0x72, 0x3A, 0x7A, 0x03, 0xE5, 0x22 ),
2347};
2348static const mbedtls_mpi_uint secp192k1_T_9_X[] = {
2349 BYTES_TO_T_UINT_8( 0x3E, 0xAA, 0x57, 0x13, 0x37, 0xA7, 0x2C, 0xD4 ),
2350 BYTES_TO_T_UINT_8( 0xA3, 0xAC, 0xA2, 0x23, 0xF9, 0x84, 0x60, 0xD3 ),
2351 BYTES_TO_T_UINT_8( 0x32, 0xEB, 0x51, 0x70, 0x64, 0x78, 0xCA, 0x05 ),
2352};
2353static const mbedtls_mpi_uint secp192k1_T_9_Y[] = {
2354 BYTES_TO_T_UINT_8( 0x91, 0xCC, 0x30, 0x62, 0x93, 0x46, 0x13, 0xE9 ),
2355 BYTES_TO_T_UINT_8( 0x21, 0x26, 0xCC, 0x6C, 0x3D, 0x5C, 0xDA, 0x2C ),
2356 BYTES_TO_T_UINT_8( 0xD5, 0xAA, 0xB8, 0x03, 0xA4, 0x1A, 0x00, 0x96 ),
2357};
2358static const mbedtls_mpi_uint secp192k1_T_10_X[] = {
2359 BYTES_TO_T_UINT_8( 0xF9, 0x9D, 0xE6, 0xCC, 0x4E, 0x2E, 0xC2, 0xD5 ),
2360 BYTES_TO_T_UINT_8( 0xB4, 0xC3, 0x8A, 0xAE, 0x6F, 0x40, 0x05, 0xEB ),
2361 BYTES_TO_T_UINT_8( 0x9D, 0x8F, 0x4A, 0x4D, 0x35, 0xD3, 0x50, 0x9D ),
2362};
2363static const mbedtls_mpi_uint secp192k1_T_10_Y[] = {
2364 BYTES_TO_T_UINT_8( 0x1F, 0xFD, 0x98, 0xAB, 0xC7, 0x03, 0xB4, 0x55 ),
2365 BYTES_TO_T_UINT_8( 0x40, 0x40, 0xD2, 0x9F, 0xCA, 0xD0, 0x53, 0x00 ),
2366 BYTES_TO_T_UINT_8( 0x1A, 0x84, 0x00, 0x6F, 0xC8, 0xAD, 0xED, 0x8D ),
2367};
2368static const mbedtls_mpi_uint secp192k1_T_11_X[] = {
2369 BYTES_TO_T_UINT_8( 0xCE, 0xD3, 0x57, 0xD7, 0xC3, 0x07, 0xBD, 0xD7 ),
2370 BYTES_TO_T_UINT_8( 0x67, 0xBA, 0x47, 0x1D, 0x3D, 0xEF, 0x98, 0x6C ),
2371 BYTES_TO_T_UINT_8( 0x6D, 0xC0, 0x6C, 0x7F, 0x12, 0xEE, 0x9F, 0x67 ),
2372};
2373static const mbedtls_mpi_uint secp192k1_T_11_Y[] = {
2374 BYTES_TO_T_UINT_8( 0xCA, 0x02, 0xDA, 0x79, 0xAA, 0xC9, 0x27, 0xC4 ),
2375 BYTES_TO_T_UINT_8( 0x21, 0x79, 0xC7, 0x71, 0x84, 0xCB, 0xE5, 0x5A ),
2376 BYTES_TO_T_UINT_8( 0x15, 0x37, 0x06, 0xBA, 0xB5, 0xD5, 0x18, 0x4C ),
2377};
2378static const mbedtls_mpi_uint secp192k1_T_12_X[] = {
2379 BYTES_TO_T_UINT_8( 0xA1, 0x65, 0x72, 0x6C, 0xF2, 0x63, 0x27, 0x6A ),
2380 BYTES_TO_T_UINT_8( 0x69, 0xBC, 0x71, 0xDF, 0x75, 0xF8, 0x98, 0x4D ),
2381 BYTES_TO_T_UINT_8( 0x70, 0x70, 0x9B, 0xDC, 0xE7, 0x18, 0x71, 0xFF ),
2382};
2383static const mbedtls_mpi_uint secp192k1_T_12_Y[] = {
2384 BYTES_TO_T_UINT_8( 0x15, 0x5B, 0x9F, 0x00, 0x5A, 0xB6, 0x80, 0x7A ),
2385 BYTES_TO_T_UINT_8( 0xB7, 0xE0, 0xBB, 0xFC, 0x5E, 0x78, 0x9C, 0x89 ),
2386 BYTES_TO_T_UINT_8( 0x60, 0x03, 0x68, 0x83, 0x3D, 0x2E, 0x4C, 0xDD ),
2387};
2388static const mbedtls_mpi_uint secp192k1_T_13_X[] = {
2389 BYTES_TO_T_UINT_8( 0x3B, 0x49, 0x23, 0xA8, 0xCB, 0x3B, 0x1A, 0xF6 ),
2390 BYTES_TO_T_UINT_8( 0x8B, 0x3D, 0xA7, 0x46, 0xCF, 0x75, 0xB6, 0x2C ),
2391 BYTES_TO_T_UINT_8( 0x92, 0xFD, 0x30, 0x01, 0xB6, 0xEF, 0xF9, 0xE8 ),
2392};
2393static const mbedtls_mpi_uint secp192k1_T_13_Y[] = {
2394 BYTES_TO_T_UINT_8( 0xDC, 0xFA, 0xDA, 0xB8, 0x29, 0x42, 0xC9, 0xC7 ),
2395 BYTES_TO_T_UINT_8( 0x06, 0xD7, 0xA0, 0xE6, 0x6B, 0x86, 0x61, 0x39 ),
2396 BYTES_TO_T_UINT_8( 0xDB, 0xE9, 0xD3, 0x37, 0xD8, 0xE7, 0x35, 0xA9 ),
2397};
2398static const mbedtls_mpi_uint secp192k1_T_14_X[] = {
2399 BYTES_TO_T_UINT_8( 0xFD, 0xC8, 0x8E, 0xB1, 0xCB, 0xB1, 0xB5, 0x4D ),
2400 BYTES_TO_T_UINT_8( 0x16, 0xD7, 0x46, 0x7D, 0xAF, 0xE2, 0xDC, 0xBB ),
2401 BYTES_TO_T_UINT_8( 0xD0, 0x46, 0xE7, 0xD8, 0x76, 0x31, 0x90, 0x76 ),
2402};
2403static const mbedtls_mpi_uint secp192k1_T_14_Y[] = {
2404 BYTES_TO_T_UINT_8( 0xEB, 0xD3, 0xF4, 0x74, 0xE1, 0x67, 0xD8, 0x66 ),
2405 BYTES_TO_T_UINT_8( 0xE7, 0x70, 0x3C, 0xC8, 0xAF, 0x5F, 0xF4, 0x58 ),
2406 BYTES_TO_T_UINT_8( 0x24, 0x4E, 0xED, 0x5C, 0x43, 0xB3, 0x16, 0x35 ),
2407};
2408static const mbedtls_mpi_uint secp192k1_T_15_X[] = {
2409 BYTES_TO_T_UINT_8( 0x57, 0xAE, 0xD1, 0xDD, 0x31, 0x14, 0xD3, 0xF0 ),
2410 BYTES_TO_T_UINT_8( 0xE8, 0x14, 0x06, 0x13, 0x12, 0x1C, 0x81, 0xF5 ),
2411 BYTES_TO_T_UINT_8( 0xA6, 0xF9, 0x0C, 0x91, 0xF7, 0x67, 0x59, 0x63 ),
2412};
2413static const mbedtls_mpi_uint secp192k1_T_15_Y[] = {
2414 BYTES_TO_T_UINT_8( 0xAB, 0x91, 0xE2, 0xF4, 0x9D, 0xEB, 0x88, 0x87 ),
2415 BYTES_TO_T_UINT_8( 0xDB, 0x82, 0x30, 0x9C, 0xAE, 0x18, 0x4D, 0xB7 ),
2416 BYTES_TO_T_UINT_8( 0x3C, 0x79, 0xCF, 0x17, 0xA5, 0x1E, 0xE8, 0xC8 ),
2417};
2418static const mbedtls_ecp_point secp192k1_T[16] = {
2419 ECP_POINT_INIT_XY_Z1(secp192k1_T_0_X, secp192k1_T_0_Y),
2420 ECP_POINT_INIT_XY_Z0(secp192k1_T_1_X, secp192k1_T_1_Y),
2421 ECP_POINT_INIT_XY_Z0(secp192k1_T_2_X, secp192k1_T_2_Y),
2422 ECP_POINT_INIT_XY_Z0(secp192k1_T_3_X, secp192k1_T_3_Y),
2423 ECP_POINT_INIT_XY_Z0(secp192k1_T_4_X, secp192k1_T_4_Y),
2424 ECP_POINT_INIT_XY_Z0(secp192k1_T_5_X, secp192k1_T_5_Y),
2425 ECP_POINT_INIT_XY_Z0(secp192k1_T_6_X, secp192k1_T_6_Y),
2426 ECP_POINT_INIT_XY_Z0(secp192k1_T_7_X, secp192k1_T_7_Y),
2427 ECP_POINT_INIT_XY_Z0(secp192k1_T_8_X, secp192k1_T_8_Y),
2428 ECP_POINT_INIT_XY_Z0(secp192k1_T_9_X, secp192k1_T_9_Y),
2429 ECP_POINT_INIT_XY_Z0(secp192k1_T_10_X, secp192k1_T_10_Y),
2430 ECP_POINT_INIT_XY_Z0(secp192k1_T_11_X, secp192k1_T_11_Y),
2431 ECP_POINT_INIT_XY_Z0(secp192k1_T_12_X, secp192k1_T_12_Y),
2432 ECP_POINT_INIT_XY_Z0(secp192k1_T_13_X, secp192k1_T_13_Y),
2433 ECP_POINT_INIT_XY_Z0(secp192k1_T_14_X, secp192k1_T_14_Y),
2434 ECP_POINT_INIT_XY_Z0(secp192k1_T_15_X, secp192k1_T_15_Y),
2435};
2436#else
2437#define secp192k1_T NULL
2438#endif
2439
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002440#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002441
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002442#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
2443static const mbedtls_mpi_uint secp224k1_p[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002444 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2445 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2446 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2447 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
2448};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002449static const mbedtls_mpi_uint secp224k1_a[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002450 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2451};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002452static const mbedtls_mpi_uint secp224k1_b[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002453 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
2454};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002455static const mbedtls_mpi_uint secp224k1_gx[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002456 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
2457 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
2458 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
2459 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
2460};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002461static const mbedtls_mpi_uint secp224k1_gy[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002462 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
2463 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
2464 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
2465 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
2466};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002467static const mbedtls_mpi_uint secp224k1_n[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002468 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
2469 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
2470 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2471 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
2472};
kXuanba9cb762021-04-08 14:32:06 +08002473
2474#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2475static const mbedtls_mpi_uint secp224k1_T_0_X[] = {
2476 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
2477 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
2478 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
2479 BYTES_TO_T_UINT_8( 0x33, 0x5B, 0x45, 0xA1, 0x00, 0x00, 0x00, 0x00 ),
2480};
2481static const mbedtls_mpi_uint secp224k1_T_0_Y[] = {
2482 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
2483 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
2484 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
2485 BYTES_TO_T_UINT_8( 0xED, 0x9F, 0x08, 0x7E, 0x00, 0x00, 0x00, 0x00 ),
2486};
2487static const mbedtls_mpi_uint secp224k1_T_1_X[] = {
2488 BYTES_TO_T_UINT_8( 0x99, 0x6C, 0x22, 0x22, 0x40, 0x89, 0xAE, 0x7A ),
2489 BYTES_TO_T_UINT_8( 0x2F, 0x92, 0xE1, 0x87, 0x56, 0x35, 0xAF, 0x9B ),
2490 BYTES_TO_T_UINT_8( 0x88, 0xAF, 0x08, 0x35, 0x27, 0xEA, 0x04, 0xED ),
2491 BYTES_TO_T_UINT_8( 0xF0, 0x53, 0xFD, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
2492};
2493static const mbedtls_mpi_uint secp224k1_T_1_Y[] = {
2494 BYTES_TO_T_UINT_8( 0xC1, 0xD0, 0x9F, 0x8D, 0xF3, 0x63, 0x54, 0x30 ),
2495 BYTES_TO_T_UINT_8( 0x39, 0xDB, 0x0F, 0x61, 0x54, 0x26, 0xD1, 0x98 ),
2496 BYTES_TO_T_UINT_8( 0xF5, 0x21, 0xF7, 0x1B, 0xB5, 0x1D, 0xF6, 0x7E ),
2497 BYTES_TO_T_UINT_8( 0xFF, 0x05, 0xDA, 0x8F, 0x00, 0x00, 0x00, 0x00 ),
2498};
2499static const mbedtls_mpi_uint secp224k1_T_2_X[] = {
2500 BYTES_TO_T_UINT_8( 0x10, 0x26, 0x73, 0xBC, 0xE4, 0x29, 0x62, 0x56 ),
2501 BYTES_TO_T_UINT_8( 0x37, 0x95, 0x17, 0x8B, 0xC3, 0x9B, 0xAC, 0xCC ),
2502 BYTES_TO_T_UINT_8( 0xB1, 0xDB, 0x77, 0xDF, 0xDD, 0x13, 0x04, 0x98 ),
2503 BYTES_TO_T_UINT_8( 0x02, 0xFC, 0x22, 0x93, 0x00, 0x00, 0x00, 0x00 ),
2504};
2505static const mbedtls_mpi_uint secp224k1_T_2_Y[] = {
2506 BYTES_TO_T_UINT_8( 0xAC, 0x65, 0xF1, 0x5A, 0x37, 0xEF, 0x79, 0xAD ),
2507 BYTES_TO_T_UINT_8( 0x99, 0x01, 0x37, 0xAC, 0x9A, 0x5B, 0x51, 0x65 ),
2508 BYTES_TO_T_UINT_8( 0xFA, 0x75, 0x13, 0xA9, 0x4A, 0xAD, 0xFE, 0x9B ),
2509 BYTES_TO_T_UINT_8( 0x32, 0x82, 0x6F, 0x66, 0x00, 0x00, 0x00, 0x00 ),
2510};
2511static const mbedtls_mpi_uint secp224k1_T_3_X[] = {
2512 BYTES_TO_T_UINT_8( 0x4D, 0x5E, 0xF0, 0x40, 0xC3, 0xA6, 0xE2, 0x1E ),
2513 BYTES_TO_T_UINT_8( 0x34, 0x9A, 0x6F, 0xCF, 0x11, 0x26, 0x66, 0x85 ),
2514 BYTES_TO_T_UINT_8( 0x79, 0x73, 0xA8, 0xCF, 0x2B, 0x12, 0x36, 0x37 ),
2515 BYTES_TO_T_UINT_8( 0xB9, 0xB3, 0x0A, 0x58, 0x00, 0x00, 0x00, 0x00 ),
2516};
2517static const mbedtls_mpi_uint secp224k1_T_3_Y[] = {
2518 BYTES_TO_T_UINT_8( 0xD3, 0x79, 0x00, 0x55, 0x04, 0x34, 0x90, 0x1A ),
2519 BYTES_TO_T_UINT_8( 0x0A, 0x54, 0x1C, 0xC2, 0x45, 0x0C, 0x1B, 0x23 ),
2520 BYTES_TO_T_UINT_8( 0x86, 0x19, 0xAB, 0xA8, 0xFC, 0x73, 0xDC, 0xEE ),
2521 BYTES_TO_T_UINT_8( 0x72, 0xFB, 0x93, 0xCE, 0x00, 0x00, 0x00, 0x00 ),
2522};
2523static const mbedtls_mpi_uint secp224k1_T_4_X[] = {
2524 BYTES_TO_T_UINT_8( 0xF8, 0x75, 0xD0, 0x66, 0x95, 0x86, 0xCA, 0x66 ),
2525 BYTES_TO_T_UINT_8( 0x17, 0xEA, 0x29, 0x16, 0x6A, 0x38, 0xDF, 0x41 ),
2526 BYTES_TO_T_UINT_8( 0xD8, 0xA2, 0x36, 0x2F, 0xDC, 0xBB, 0x5E, 0xF7 ),
2527 BYTES_TO_T_UINT_8( 0xD4, 0x89, 0x59, 0x49, 0x00, 0x00, 0x00, 0x00 ),
2528};
2529static const mbedtls_mpi_uint secp224k1_T_4_Y[] = {
2530 BYTES_TO_T_UINT_8( 0xCA, 0xA3, 0x99, 0x9D, 0xB8, 0x77, 0x9D, 0x1D ),
2531 BYTES_TO_T_UINT_8( 0x0A, 0x93, 0x43, 0x47, 0xC6, 0x5C, 0xF9, 0xFD ),
2532 BYTES_TO_T_UINT_8( 0xAA, 0x00, 0x79, 0x42, 0x64, 0xB8, 0x25, 0x3E ),
2533 BYTES_TO_T_UINT_8( 0x29, 0x54, 0xB4, 0x33, 0x00, 0x00, 0x00, 0x00 ),
2534};
2535static const mbedtls_mpi_uint secp224k1_T_5_X[] = {
2536 BYTES_TO_T_UINT_8( 0xD9, 0x0C, 0x42, 0x90, 0x83, 0x0B, 0x31, 0x5F ),
2537 BYTES_TO_T_UINT_8( 0x54, 0x2E, 0xAE, 0xC8, 0xC7, 0x5F, 0xD2, 0x70 ),
2538 BYTES_TO_T_UINT_8( 0xA9, 0xBC, 0xAD, 0x41, 0xE7, 0x32, 0x3A, 0x81 ),
2539 BYTES_TO_T_UINT_8( 0x8A, 0x97, 0x52, 0x83, 0x00, 0x00, 0x00, 0x00 ),
2540};
2541static const mbedtls_mpi_uint secp224k1_T_5_Y[] = {
2542 BYTES_TO_T_UINT_8( 0x1A, 0x13, 0x7A, 0xBD, 0xAE, 0x94, 0x60, 0xFD ),
2543 BYTES_TO_T_UINT_8( 0x92, 0x9B, 0x95, 0xB4, 0x6E, 0x68, 0xB2, 0x1F ),
2544 BYTES_TO_T_UINT_8( 0x15, 0x49, 0xBE, 0x51, 0xFE, 0x66, 0x15, 0x74 ),
2545 BYTES_TO_T_UINT_8( 0xE6, 0x37, 0xE4, 0xFE, 0x00, 0x00, 0x00, 0x00 ),
2546};
2547static const mbedtls_mpi_uint secp224k1_T_6_X[] = {
2548 BYTES_TO_T_UINT_8( 0xF6, 0x9B, 0xEE, 0x64, 0xC9, 0x1B, 0xBD, 0x77 ),
2549 BYTES_TO_T_UINT_8( 0xDA, 0x5F, 0x34, 0xA9, 0x0B, 0xB7, 0x25, 0x52 ),
2550 BYTES_TO_T_UINT_8( 0x90, 0x13, 0xB1, 0x38, 0xFB, 0x9D, 0x78, 0xED ),
2551 BYTES_TO_T_UINT_8( 0x39, 0xE7, 0x1B, 0xFA, 0x00, 0x00, 0x00, 0x00 ),
2552};
2553static const mbedtls_mpi_uint secp224k1_T_6_Y[] = {
2554 BYTES_TO_T_UINT_8( 0xFB, 0xB3, 0xB7, 0x44, 0x92, 0x6B, 0x00, 0x82 ),
2555 BYTES_TO_T_UINT_8( 0x97, 0x82, 0x44, 0x3E, 0x18, 0x1A, 0x58, 0x6A ),
2556 BYTES_TO_T_UINT_8( 0x15, 0xF8, 0xC0, 0xE4, 0xEE, 0xC1, 0xBF, 0x44 ),
2557 BYTES_TO_T_UINT_8( 0x7E, 0x32, 0x27, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
2558};
2559static const mbedtls_mpi_uint secp224k1_T_7_X[] = {
2560 BYTES_TO_T_UINT_8( 0xF4, 0x9A, 0x42, 0x62, 0x8B, 0x26, 0x54, 0x21 ),
2561 BYTES_TO_T_UINT_8( 0x24, 0x85, 0x74, 0xA0, 0x79, 0xA8, 0xEE, 0xBE ),
2562 BYTES_TO_T_UINT_8( 0x80, 0x36, 0x60, 0xB3, 0x28, 0x4D, 0x55, 0xBE ),
2563 BYTES_TO_T_UINT_8( 0x32, 0x27, 0x82, 0x29, 0x00, 0x00, 0x00, 0x00 ),
2564};
2565static const mbedtls_mpi_uint secp224k1_T_7_Y[] = {
2566 BYTES_TO_T_UINT_8( 0x0D, 0xFC, 0x73, 0x77, 0xAF, 0x5C, 0xAC, 0x78 ),
2567 BYTES_TO_T_UINT_8( 0xCC, 0xED, 0xE5, 0xF6, 0x1D, 0xA8, 0x67, 0x43 ),
2568 BYTES_TO_T_UINT_8( 0xF8, 0xDE, 0x33, 0x1C, 0xF1, 0x80, 0x73, 0xF8 ),
2569 BYTES_TO_T_UINT_8( 0x2A, 0xE2, 0xDE, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
2570};
2571static const mbedtls_mpi_uint secp224k1_T_8_X[] = {
2572 BYTES_TO_T_UINT_8( 0x57, 0x3E, 0x6B, 0xFE, 0xF0, 0x04, 0x28, 0x01 ),
2573 BYTES_TO_T_UINT_8( 0xBB, 0xB2, 0x14, 0x9D, 0x18, 0x11, 0x7D, 0x9D ),
2574 BYTES_TO_T_UINT_8( 0x96, 0xC4, 0xD6, 0x2E, 0x6E, 0x57, 0x4D, 0xE1 ),
2575 BYTES_TO_T_UINT_8( 0xEA, 0x55, 0x1B, 0xDE, 0x00, 0x00, 0x00, 0x00 ),
2576};
2577static const mbedtls_mpi_uint secp224k1_T_8_Y[] = {
2578 BYTES_TO_T_UINT_8( 0x07, 0xF7, 0x17, 0xBC, 0x45, 0xAB, 0x16, 0xAB ),
2579 BYTES_TO_T_UINT_8( 0xCD, 0xB0, 0xEF, 0x61, 0xE3, 0x20, 0x7C, 0xF8 ),
2580 BYTES_TO_T_UINT_8( 0x6C, 0x85, 0x41, 0x4D, 0xF1, 0x7E, 0x4D, 0x41 ),
2581 BYTES_TO_T_UINT_8( 0x99, 0xC2, 0x9B, 0x5E, 0x00, 0x00, 0x00, 0x00 ),
2582};
2583static const mbedtls_mpi_uint secp224k1_T_9_X[] = {
2584 BYTES_TO_T_UINT_8( 0x70, 0x2E, 0x49, 0x3D, 0x3E, 0x4B, 0xD3, 0x32 ),
2585 BYTES_TO_T_UINT_8( 0xC8, 0x2B, 0x9D, 0xD5, 0x27, 0xFA, 0xCA, 0xE0 ),
2586 BYTES_TO_T_UINT_8( 0xB3, 0xB3, 0x6A, 0xE0, 0x79, 0x14, 0x28, 0x0F ),
2587 BYTES_TO_T_UINT_8( 0x6C, 0x1E, 0xDC, 0xF5, 0x00, 0x00, 0x00, 0x00 ),
2588};
2589static const mbedtls_mpi_uint secp224k1_T_9_Y[] = {
2590 BYTES_TO_T_UINT_8( 0xCA, 0x44, 0x56, 0xCD, 0xFC, 0x9F, 0x09, 0xFF ),
2591 BYTES_TO_T_UINT_8( 0x5C, 0x8C, 0x59, 0xA4, 0x64, 0x2A, 0x3A, 0xED ),
2592 BYTES_TO_T_UINT_8( 0x40, 0xA0, 0xB5, 0x86, 0x4E, 0x69, 0xDA, 0x06 ),
2593 BYTES_TO_T_UINT_8( 0x08, 0x8B, 0x11, 0x38, 0x00, 0x00, 0x00, 0x00 ),
2594};
2595static const mbedtls_mpi_uint secp224k1_T_10_X[] = {
2596 BYTES_TO_T_UINT_8( 0xA0, 0x17, 0x16, 0x12, 0x17, 0xDC, 0x00, 0x7E ),
2597 BYTES_TO_T_UINT_8( 0xE7, 0x76, 0x24, 0x6C, 0x97, 0x2C, 0xB5, 0xF9 ),
2598 BYTES_TO_T_UINT_8( 0x82, 0x71, 0xE3, 0xB0, 0xBB, 0x4E, 0x50, 0x52 ),
2599 BYTES_TO_T_UINT_8( 0x6E, 0x48, 0x26, 0xD5, 0x00, 0x00, 0x00, 0x00 ),
2600};
2601static const mbedtls_mpi_uint secp224k1_T_10_Y[] = {
2602 BYTES_TO_T_UINT_8( 0x06, 0x5F, 0x28, 0xF6, 0x01, 0x5A, 0x60, 0x41 ),
2603 BYTES_TO_T_UINT_8( 0xAE, 0x95, 0xFE, 0xD0, 0xAD, 0x15, 0xD4, 0xD9 ),
2604 BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0x7A, 0xFD, 0x80, 0xF7, 0x9F, 0x64 ),
2605 BYTES_TO_T_UINT_8( 0x32, 0xBC, 0x1B, 0xDF, 0x00, 0x00, 0x00, 0x00 ),
2606};
2607static const mbedtls_mpi_uint secp224k1_T_11_X[] = {
2608 BYTES_TO_T_UINT_8( 0xBB, 0xE6, 0xDF, 0x14, 0x29, 0xF4, 0xD4, 0x14 ),
2609 BYTES_TO_T_UINT_8( 0xE5, 0x12, 0xDD, 0xEC, 0x5B, 0x8A, 0x59, 0xE5 ),
2610 BYTES_TO_T_UINT_8( 0x26, 0x92, 0x3E, 0x35, 0x08, 0xE9, 0xCF, 0x0E ),
2611 BYTES_TO_T_UINT_8( 0xE0, 0x35, 0x29, 0x97, 0x00, 0x00, 0x00, 0x00 ),
2612};
2613static const mbedtls_mpi_uint secp224k1_T_11_Y[] = {
2614 BYTES_TO_T_UINT_8( 0x11, 0xDB, 0xD6, 0x6A, 0xC5, 0x43, 0xA4, 0xA1 ),
2615 BYTES_TO_T_UINT_8( 0x61, 0x33, 0x50, 0x61, 0x70, 0xA1, 0xE9, 0xCE ),
2616 BYTES_TO_T_UINT_8( 0x15, 0x15, 0x6E, 0x5F, 0x01, 0x0C, 0x8C, 0xFA ),
2617 BYTES_TO_T_UINT_8( 0x85, 0xA1, 0x9A, 0x9D, 0x00, 0x00, 0x00, 0x00 ),
2618};
2619static const mbedtls_mpi_uint secp224k1_T_12_X[] = {
2620 BYTES_TO_T_UINT_8( 0x6E, 0xC6, 0xF7, 0xE2, 0x4A, 0xCD, 0x9B, 0x61 ),
2621 BYTES_TO_T_UINT_8( 0x34, 0x4D, 0x5A, 0xB8, 0xE2, 0x6D, 0xA6, 0x50 ),
2622 BYTES_TO_T_UINT_8( 0x32, 0x3F, 0xB6, 0x17, 0xE3, 0x2C, 0x6F, 0x65 ),
2623 BYTES_TO_T_UINT_8( 0x1E, 0xA4, 0x59, 0x51, 0x00, 0x00, 0x00, 0x00 ),
2624};
2625static const mbedtls_mpi_uint secp224k1_T_12_Y[] = {
2626 BYTES_TO_T_UINT_8( 0x77, 0x4F, 0x7C, 0x49, 0xCD, 0x6E, 0xEB, 0x3C ),
2627 BYTES_TO_T_UINT_8( 0x05, 0xC9, 0x1F, 0xB7, 0x4D, 0x98, 0xC7, 0x67 ),
2628 BYTES_TO_T_UINT_8( 0x4C, 0xFD, 0x98, 0x20, 0x95, 0xBB, 0x20, 0x3A ),
2629 BYTES_TO_T_UINT_8( 0xE0, 0xF2, 0x73, 0x92, 0x00, 0x00, 0x00, 0x00 ),
2630};
2631static const mbedtls_mpi_uint secp224k1_T_13_X[] = {
2632 BYTES_TO_T_UINT_8( 0xE2, 0xEF, 0xFB, 0x30, 0xFA, 0x12, 0x1A, 0xB0 ),
2633 BYTES_TO_T_UINT_8( 0x7A, 0x4C, 0x24, 0xB4, 0x5B, 0xC9, 0x4C, 0x0F ),
2634 BYTES_TO_T_UINT_8( 0x7A, 0xDD, 0x5E, 0x84, 0x95, 0x4D, 0x26, 0xED ),
2635 BYTES_TO_T_UINT_8( 0xE3, 0xFA, 0xF9, 0x3A, 0x00, 0x00, 0x00, 0x00 ),
2636};
2637static const mbedtls_mpi_uint secp224k1_T_13_Y[] = {
2638 BYTES_TO_T_UINT_8( 0x6A, 0xA3, 0x2E, 0x7A, 0xDC, 0xA7, 0x53, 0xA9 ),
2639 BYTES_TO_T_UINT_8( 0x7C, 0x9F, 0x81, 0x84, 0xB2, 0x0D, 0xFE, 0x31 ),
2640 BYTES_TO_T_UINT_8( 0x61, 0x89, 0x1B, 0x77, 0x0C, 0x89, 0x71, 0xEC ),
2641 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0x7F, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
2642};
2643static const mbedtls_mpi_uint secp224k1_T_14_X[] = {
2644 BYTES_TO_T_UINT_8( 0x28, 0xE9, 0x2C, 0x79, 0xA6, 0x3C, 0xAD, 0x93 ),
2645 BYTES_TO_T_UINT_8( 0xD6, 0xE0, 0x23, 0x02, 0x86, 0x0F, 0x77, 0x2A ),
2646 BYTES_TO_T_UINT_8( 0x13, 0x93, 0x6D, 0xE9, 0xF9, 0x3C, 0xBE, 0xB9 ),
2647 BYTES_TO_T_UINT_8( 0x04, 0xE7, 0x24, 0x92, 0x00, 0x00, 0x00, 0x00 ),
2648};
2649static const mbedtls_mpi_uint secp224k1_T_14_Y[] = {
2650 BYTES_TO_T_UINT_8( 0xBB, 0x3C, 0x5B, 0x4B, 0x1B, 0x25, 0x37, 0xD6 ),
2651 BYTES_TO_T_UINT_8( 0xC9, 0xE8, 0x38, 0x1B, 0xA1, 0x5A, 0x2E, 0x68 ),
2652 BYTES_TO_T_UINT_8( 0x03, 0x19, 0xFD, 0xF4, 0x78, 0x01, 0x6B, 0x44 ),
2653 BYTES_TO_T_UINT_8( 0x0F, 0x69, 0x37, 0x4F, 0x00, 0x00, 0x00, 0x00 ),
2654};
2655static const mbedtls_mpi_uint secp224k1_T_15_X[] = {
2656 BYTES_TO_T_UINT_8( 0x1A, 0xE2, 0xBF, 0xD3, 0xEC, 0x95, 0x9C, 0x03 ),
2657 BYTES_TO_T_UINT_8( 0xC2, 0x7B, 0xFC, 0xD5, 0xD3, 0x25, 0x5E, 0x0F ),
2658 BYTES_TO_T_UINT_8( 0x39, 0x55, 0x09, 0xA2, 0x58, 0x6A, 0xC9, 0xFF ),
2659 BYTES_TO_T_UINT_8( 0x80, 0xCC, 0x3B, 0xD9, 0x00, 0x00, 0x00, 0x00 ),
2660};
2661static const mbedtls_mpi_uint secp224k1_T_15_Y[] = {
2662 BYTES_TO_T_UINT_8( 0x8F, 0x08, 0x65, 0x5E, 0xCB, 0xAB, 0x48, 0xC8 ),
2663 BYTES_TO_T_UINT_8( 0xEE, 0x79, 0x8B, 0xC0, 0x11, 0xC0, 0x69, 0x38 ),
2664 BYTES_TO_T_UINT_8( 0xE6, 0xE8, 0x8C, 0x4C, 0xC5, 0x28, 0xE4, 0xAE ),
2665 BYTES_TO_T_UINT_8( 0xA5, 0x1F, 0x34, 0x5C, 0x00, 0x00, 0x00, 0x00 ),
2666};
2667static const mbedtls_ecp_point secp224k1_T[16] = {
2668 ECP_POINT_INIT_XY_Z1(secp224k1_T_0_X, secp224k1_T_0_Y),
2669 ECP_POINT_INIT_XY_Z0(secp224k1_T_1_X, secp224k1_T_1_Y),
2670 ECP_POINT_INIT_XY_Z0(secp224k1_T_2_X, secp224k1_T_2_Y),
2671 ECP_POINT_INIT_XY_Z0(secp224k1_T_3_X, secp224k1_T_3_Y),
2672 ECP_POINT_INIT_XY_Z0(secp224k1_T_4_X, secp224k1_T_4_Y),
2673 ECP_POINT_INIT_XY_Z0(secp224k1_T_5_X, secp224k1_T_5_Y),
2674 ECP_POINT_INIT_XY_Z0(secp224k1_T_6_X, secp224k1_T_6_Y),
2675 ECP_POINT_INIT_XY_Z0(secp224k1_T_7_X, secp224k1_T_7_Y),
2676 ECP_POINT_INIT_XY_Z0(secp224k1_T_8_X, secp224k1_T_8_Y),
2677 ECP_POINT_INIT_XY_Z0(secp224k1_T_9_X, secp224k1_T_9_Y),
2678 ECP_POINT_INIT_XY_Z0(secp224k1_T_10_X, secp224k1_T_10_Y),
2679 ECP_POINT_INIT_XY_Z0(secp224k1_T_11_X, secp224k1_T_11_Y),
2680 ECP_POINT_INIT_XY_Z0(secp224k1_T_12_X, secp224k1_T_12_Y),
2681 ECP_POINT_INIT_XY_Z0(secp224k1_T_13_X, secp224k1_T_13_Y),
2682 ECP_POINT_INIT_XY_Z0(secp224k1_T_14_X, secp224k1_T_14_Y),
2683 ECP_POINT_INIT_XY_Z0(secp224k1_T_15_X, secp224k1_T_15_Y),
2684};
2685#else
2686#define secp224k1_T NULL
2687#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002688#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002689
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002690#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
2691static const mbedtls_mpi_uint secp256k1_p[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002692 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2693 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2694 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2695 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2696};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002697static const mbedtls_mpi_uint secp256k1_a[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002698 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2699};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002700static const mbedtls_mpi_uint secp256k1_b[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002701 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
2702};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002703static const mbedtls_mpi_uint secp256k1_gx[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002704 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
2705 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
2706 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
2707 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
2708};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002709static const mbedtls_mpi_uint secp256k1_gy[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002710 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
2711 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
2712 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
2713 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
2714};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002715static const mbedtls_mpi_uint secp256k1_n[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002716 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
2717 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
2718 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2719 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2720};
kXuanba9cb762021-04-08 14:32:06 +08002721
2722#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2723static const mbedtls_mpi_uint secp256k1_T_0_X[] = {
2724 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
2725 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
2726 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
2727 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
2728};
2729static const mbedtls_mpi_uint secp256k1_T_0_Y[] = {
2730 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
2731 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
2732 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
2733 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
2734};
2735static const mbedtls_mpi_uint secp256k1_T_1_X[] = {
2736 BYTES_TO_T_UINT_8( 0xE7, 0xEE, 0xD7, 0x1E, 0x67, 0x86, 0x32, 0x74 ),
2737 BYTES_TO_T_UINT_8( 0x23, 0x73, 0xB1, 0xA9, 0xD5, 0xCC, 0x27, 0x78 ),
2738 BYTES_TO_T_UINT_8( 0x1F, 0x0E, 0x11, 0x01, 0x71, 0xFE, 0x92, 0x73 ),
2739 BYTES_TO_T_UINT_8( 0xC6, 0x28, 0x63, 0x6D, 0x72, 0x09, 0xA6, 0xC0 ),
2740};
2741static const mbedtls_mpi_uint secp256k1_T_1_Y[] = {
2742 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0x69, 0xDC, 0x3E, 0x2C, 0x75, 0xC3 ),
2743 BYTES_TO_T_UINT_8( 0xE5, 0xB7, 0x3F, 0x30, 0x26, 0x3C, 0xDF, 0x8E ),
2744 BYTES_TO_T_UINT_8( 0x3D, 0xBE, 0xB9, 0x5D, 0x0E, 0xE8, 0x5E, 0x14 ),
2745 BYTES_TO_T_UINT_8( 0x01, 0xC3, 0x05, 0xD6, 0xB7, 0xD5, 0x24, 0xFC ),
2746};
2747static const mbedtls_mpi_uint secp256k1_T_2_X[] = {
2748 BYTES_TO_T_UINT_8( 0x13, 0xCF, 0x7B, 0xDC, 0xCD, 0xC3, 0x39, 0x9D ),
2749 BYTES_TO_T_UINT_8( 0x42, 0xDA, 0xB9, 0xE5, 0x64, 0xA7, 0x47, 0x91 ),
2750 BYTES_TO_T_UINT_8( 0x76, 0x46, 0xA8, 0x61, 0xF6, 0x23, 0xEB, 0x58 ),
2751 BYTES_TO_T_UINT_8( 0x5C, 0xC1, 0xFF, 0xE4, 0x55, 0xD5, 0xC2, 0xBF ),
2752};
2753static const mbedtls_mpi_uint secp256k1_T_2_Y[] = {
2754 BYTES_TO_T_UINT_8( 0xC9, 0xBE, 0xB9, 0x59, 0x24, 0x13, 0x4A, 0x2A ),
2755 BYTES_TO_T_UINT_8( 0x64, 0x45, 0x12, 0xDE, 0xBA, 0x4F, 0xEF, 0x56 ),
2756 BYTES_TO_T_UINT_8( 0xBE, 0x08, 0xBF, 0xC1, 0x66, 0xAA, 0x0A, 0xBC ),
2757 BYTES_TO_T_UINT_8( 0x36, 0xFE, 0x30, 0x55, 0x31, 0x86, 0xA7, 0xB4 ),
2758};
2759static const mbedtls_mpi_uint secp256k1_T_3_X[] = {
2760 BYTES_TO_T_UINT_8( 0x1D, 0xBF, 0x18, 0x81, 0x67, 0x27, 0x42, 0xBD ),
2761 BYTES_TO_T_UINT_8( 0x08, 0x05, 0x83, 0xA4, 0xDD, 0x57, 0xD3, 0x50 ),
2762 BYTES_TO_T_UINT_8( 0x20, 0x63, 0xAB, 0xE4, 0x90, 0x70, 0xD0, 0x7C ),
2763 BYTES_TO_T_UINT_8( 0x71, 0x5D, 0xFD, 0xA0, 0xEF, 0xCF, 0x1C, 0x54 ),
2764};
2765static const mbedtls_mpi_uint secp256k1_T_3_Y[] = {
2766 BYTES_TO_T_UINT_8( 0x13, 0x80, 0xE4, 0xF6, 0x09, 0xBC, 0x57, 0x90 ),
2767 BYTES_TO_T_UINT_8( 0x21, 0x9F, 0x6E, 0x88, 0x54, 0x6E, 0x51, 0xF2 ),
2768 BYTES_TO_T_UINT_8( 0xF5, 0x5F, 0x85, 0xFB, 0x84, 0x3E, 0x4A, 0xAA ),
2769 BYTES_TO_T_UINT_8( 0xA8, 0x19, 0xF5, 0x55, 0xC9, 0x07, 0xD8, 0xCE ),
2770};
2771static const mbedtls_mpi_uint secp256k1_T_4_X[] = {
2772 BYTES_TO_T_UINT_8( 0x1A, 0xB4, 0xC3, 0xD9, 0x5C, 0xA0, 0xD4, 0x90 ),
2773 BYTES_TO_T_UINT_8( 0x0D, 0x30, 0xAF, 0x59, 0x9B, 0xF8, 0x04, 0x85 ),
2774 BYTES_TO_T_UINT_8( 0x4D, 0xA6, 0xFD, 0x66, 0x7B, 0xC3, 0x39, 0x85 ),
2775 BYTES_TO_T_UINT_8( 0xE0, 0xBF, 0xF0, 0xC2, 0xE9, 0x71, 0xA4, 0x9E ),
2776};
2777static const mbedtls_mpi_uint secp256k1_T_4_Y[] = {
2778 BYTES_TO_T_UINT_8( 0x14, 0x2D, 0xB9, 0x88, 0x28, 0xF1, 0xBE, 0x78 ),
2779 BYTES_TO_T_UINT_8( 0x14, 0xF3, 0x1A, 0x0E, 0xB9, 0x01, 0x66, 0x34 ),
2780 BYTES_TO_T_UINT_8( 0x77, 0xA7, 0xA4, 0xF4, 0x05, 0xD0, 0xAA, 0x53 ),
2781 BYTES_TO_T_UINT_8( 0x00, 0x39, 0x1E, 0x47, 0xE5, 0x68, 0xC8, 0xC0 ),
2782};
2783static const mbedtls_mpi_uint secp256k1_T_5_X[] = {
2784 BYTES_TO_T_UINT_8( 0xDD, 0xB9, 0xFC, 0xE0, 0x33, 0x8A, 0x7D, 0x96 ),
2785 BYTES_TO_T_UINT_8( 0x4F, 0x93, 0xA5, 0x53, 0x55, 0x16, 0xB4, 0x6E ),
2786 BYTES_TO_T_UINT_8( 0xE9, 0x5F, 0xEA, 0x9B, 0x29, 0x52, 0x71, 0xDA ),
2787 BYTES_TO_T_UINT_8( 0xB2, 0xF0, 0x24, 0xB8, 0x7D, 0xB7, 0xA0, 0x9B ),
2788};
2789static const mbedtls_mpi_uint secp256k1_T_5_Y[] = {
2790 BYTES_TO_T_UINT_8( 0xC2, 0x00, 0x27, 0xB2, 0xDF, 0x73, 0xA2, 0xE0 ),
2791 BYTES_TO_T_UINT_8( 0x1D, 0x2E, 0x4D, 0x7C, 0xDE, 0x7A, 0x23, 0x32 ),
2792 BYTES_TO_T_UINT_8( 0xAC, 0x65, 0x60, 0xC7, 0x97, 0x1E, 0xA4, 0x22 ),
2793 BYTES_TO_T_UINT_8( 0xCD, 0x13, 0x5B, 0x77, 0x59, 0xCB, 0x36, 0xE1 ),
2794};
2795static const mbedtls_mpi_uint secp256k1_T_6_X[] = {
2796 BYTES_TO_T_UINT_8( 0x99, 0xBC, 0x9F, 0x9E, 0x2D, 0x53, 0x2A, 0xA8 ),
2797 BYTES_TO_T_UINT_8( 0x87, 0x5F, 0x64, 0x9F, 0x1A, 0x19, 0xE6, 0x77 ),
2798 BYTES_TO_T_UINT_8( 0x9E, 0x7B, 0x39, 0xD2, 0xDB, 0x85, 0x84, 0xD5 ),
2799 BYTES_TO_T_UINT_8( 0x83, 0xC7, 0x0D, 0x58, 0x6E, 0x3F, 0x52, 0x15 ),
2800};
2801static const mbedtls_mpi_uint secp256k1_T_6_Y[] = {
2802 BYTES_TO_T_UINT_8( 0x21, 0x68, 0x19, 0x0B, 0x68, 0xC9, 0x1E, 0xFB ),
2803 BYTES_TO_T_UINT_8( 0xD2, 0x4E, 0x21, 0x49, 0x3D, 0x55, 0xCC, 0x25 ),
2804 BYTES_TO_T_UINT_8( 0xF5, 0xF9, 0x25, 0x45, 0x54, 0x45, 0xB1, 0x0F ),
2805 BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xF7, 0xCD, 0x80, 0xA4, 0x04, 0x05 ),
2806};
2807static const mbedtls_mpi_uint secp256k1_T_7_X[] = {
2808 BYTES_TO_T_UINT_8( 0xD4, 0x1E, 0x88, 0xC4, 0xAA, 0x18, 0x7E, 0x45 ),
2809 BYTES_TO_T_UINT_8( 0x4B, 0xAC, 0xD9, 0xB2, 0xA1, 0xC0, 0x71, 0x5D ),
2810 BYTES_TO_T_UINT_8( 0xA9, 0xA2, 0xF1, 0x15, 0xA6, 0x5F, 0x6C, 0x86 ),
2811 BYTES_TO_T_UINT_8( 0x4F, 0x5B, 0x05, 0xBC, 0xB7, 0xC6, 0x4E, 0x72 ),
2812};
2813static const mbedtls_mpi_uint secp256k1_T_7_Y[] = {
2814 BYTES_TO_T_UINT_8( 0x1D, 0x80, 0xF8, 0x5C, 0x20, 0x2A, 0xE1, 0xE2 ),
2815 BYTES_TO_T_UINT_8( 0x7C, 0x48, 0x2E, 0x68, 0x82, 0x7F, 0xEB, 0x5F ),
2816 BYTES_TO_T_UINT_8( 0xA2, 0x3B, 0x25, 0xDB, 0x32, 0x4D, 0x88, 0x42 ),
2817 BYTES_TO_T_UINT_8( 0xEE, 0x6E, 0xA6, 0xB6, 0x6D, 0x62, 0x78, 0x22 ),
2818};
2819static const mbedtls_mpi_uint secp256k1_T_8_X[] = {
2820 BYTES_TO_T_UINT_8( 0x1F, 0x4D, 0x3E, 0x86, 0x58, 0xC3, 0xEB, 0xBA ),
2821 BYTES_TO_T_UINT_8( 0x1A, 0x89, 0x33, 0x18, 0x21, 0x1D, 0x9B, 0xE7 ),
2822 BYTES_TO_T_UINT_8( 0x0B, 0x9D, 0xFF, 0xC3, 0x79, 0xC1, 0x88, 0xF8 ),
2823 BYTES_TO_T_UINT_8( 0x28, 0xD4, 0x48, 0x53, 0xE8, 0xAD, 0x21, 0x16 ),
2824};
2825static const mbedtls_mpi_uint secp256k1_T_8_Y[] = {
2826 BYTES_TO_T_UINT_8( 0xF5, 0x7B, 0xDE, 0xCB, 0xD8, 0x39, 0x17, 0x7C ),
2827 BYTES_TO_T_UINT_8( 0xD3, 0xF3, 0x03, 0xF2, 0x5C, 0xBC, 0xC8, 0x8A ),
2828 BYTES_TO_T_UINT_8( 0x27, 0xAE, 0x4C, 0xB0, 0x16, 0xA4, 0x93, 0x86 ),
2829 BYTES_TO_T_UINT_8( 0x71, 0x8B, 0x6B, 0xDC, 0xD7, 0x9A, 0x3E, 0x7E ),
2830};
2831static const mbedtls_mpi_uint secp256k1_T_9_X[] = {
2832 BYTES_TO_T_UINT_8( 0xD6, 0x2D, 0x7A, 0xD2, 0x59, 0x05, 0xA2, 0x82 ),
2833 BYTES_TO_T_UINT_8( 0x57, 0x56, 0x09, 0x32, 0xF1, 0xE8, 0xE3, 0x72 ),
2834 BYTES_TO_T_UINT_8( 0x03, 0xCA, 0xE5, 0x2E, 0xF0, 0xFB, 0x18, 0x19 ),
2835 BYTES_TO_T_UINT_8( 0xBA, 0x85, 0xA9, 0x23, 0x15, 0x31, 0x1F, 0x0E ),
2836};
2837static const mbedtls_mpi_uint secp256k1_T_9_Y[] = {
2838 BYTES_TO_T_UINT_8( 0x76, 0xE5, 0xB1, 0x86, 0xB9, 0x6E, 0x8D, 0xD3 ),
2839 BYTES_TO_T_UINT_8( 0x6C, 0x77, 0xFC, 0xC9, 0xA3, 0x3F, 0x89, 0xD2 ),
2840 BYTES_TO_T_UINT_8( 0xDB, 0x6A, 0xDC, 0x25, 0xB0, 0xC7, 0x41, 0x54 ),
2841 BYTES_TO_T_UINT_8( 0x02, 0x11, 0x6B, 0xA6, 0x11, 0x62, 0xD4, 0x2D ),
2842};
2843static const mbedtls_mpi_uint secp256k1_T_10_X[] = {
2844 BYTES_TO_T_UINT_8( 0x19, 0x7D, 0x34, 0xB3, 0x20, 0x7F, 0x37, 0xAA ),
2845 BYTES_TO_T_UINT_8( 0xBD, 0xD4, 0x45, 0xE8, 0xC2, 0xE9, 0xC5, 0xEA ),
2846 BYTES_TO_T_UINT_8( 0x5A, 0x32, 0x3B, 0x25, 0x7E, 0x79, 0xAF, 0xE7 ),
2847 BYTES_TO_T_UINT_8( 0x3F, 0xE4, 0x54, 0x71, 0xBE, 0x35, 0x4E, 0xD0 ),
2848};
2849static const mbedtls_mpi_uint secp256k1_T_10_Y[] = {
2850 BYTES_TO_T_UINT_8( 0xB0, 0x94, 0xDD, 0x8F, 0xB5, 0xC2, 0xDD, 0x75 ),
2851 BYTES_TO_T_UINT_8( 0x07, 0x49, 0xE9, 0x1C, 0x2F, 0x08, 0x49, 0xC6 ),
2852 BYTES_TO_T_UINT_8( 0x77, 0xB6, 0x03, 0x88, 0x6F, 0xB8, 0x15, 0x67 ),
2853 BYTES_TO_T_UINT_8( 0xA4, 0xD3, 0x1C, 0xF3, 0xA5, 0xEB, 0x79, 0x01 ),
2854};
2855static const mbedtls_mpi_uint secp256k1_T_11_X[] = {
2856 BYTES_TO_T_UINT_8( 0x25, 0xF9, 0x43, 0x88, 0x89, 0x0D, 0x06, 0xEA ),
2857 BYTES_TO_T_UINT_8( 0x02, 0x2D, 0xF5, 0x98, 0x32, 0xF6, 0xB1, 0x05 ),
2858 BYTES_TO_T_UINT_8( 0x23, 0x73, 0x8F, 0x2B, 0x50, 0x27, 0x0A, 0xE7 ),
2859 BYTES_TO_T_UINT_8( 0xA7, 0xE3, 0xBD, 0x16, 0x05, 0xC8, 0x93, 0x12 ),
2860};
2861static const mbedtls_mpi_uint secp256k1_T_11_Y[] = {
2862 BYTES_TO_T_UINT_8( 0x0A, 0x6A, 0xF7, 0xE3, 0x3D, 0xDE, 0x5F, 0x2F ),
2863 BYTES_TO_T_UINT_8( 0x47, 0xA3, 0x9C, 0x22, 0x3C, 0x33, 0x36, 0x5D ),
2864 BYTES_TO_T_UINT_8( 0x20, 0x24, 0x4C, 0x69, 0x45, 0x78, 0x14, 0xAE ),
2865 BYTES_TO_T_UINT_8( 0x59, 0xF8, 0xD4, 0xBF, 0xB8, 0xC0, 0xA1, 0x25 ),
2866};
2867static const mbedtls_mpi_uint secp256k1_T_12_X[] = {
2868 BYTES_TO_T_UINT_8( 0x7E, 0x88, 0xE1, 0x91, 0x03, 0xEB, 0xB3, 0x2B ),
2869 BYTES_TO_T_UINT_8( 0x5C, 0x11, 0xA1, 0xEF, 0x14, 0x0D, 0xC4, 0x7D ),
2870 BYTES_TO_T_UINT_8( 0xFE, 0xD4, 0x0D, 0x1D, 0x96, 0x33, 0x5C, 0x19 ),
2871 BYTES_TO_T_UINT_8( 0x70, 0x45, 0x2A, 0x1A, 0xE6, 0x57, 0x04, 0x9B ),
2872};
2873static const mbedtls_mpi_uint secp256k1_T_12_Y[] = {
2874 BYTES_TO_T_UINT_8( 0x70, 0xB5, 0xA7, 0x80, 0xE9, 0x93, 0x97, 0x8D ),
2875 BYTES_TO_T_UINT_8( 0x5D, 0xB9, 0x7C, 0xA0, 0xC9, 0x57, 0x26, 0x43 ),
2876 BYTES_TO_T_UINT_8( 0x9E, 0xEF, 0x56, 0xDA, 0x66, 0xF6, 0x1B, 0x9A ),
2877 BYTES_TO_T_UINT_8( 0x1F, 0x89, 0x6B, 0x91, 0xE0, 0xA9, 0x65, 0x2B ),
2878};
2879static const mbedtls_mpi_uint secp256k1_T_13_X[] = {
2880 BYTES_TO_T_UINT_8( 0x91, 0x98, 0x96, 0x9B, 0x06, 0x7D, 0x5E, 0x5A ),
2881 BYTES_TO_T_UINT_8( 0x0A, 0xFA, 0xC1, 0x5F, 0x19, 0x37, 0x94, 0x9D ),
2882 BYTES_TO_T_UINT_8( 0xCF, 0xBE, 0x6B, 0x1A, 0x05, 0xE4, 0xBF, 0x9F ),
2883 BYTES_TO_T_UINT_8( 0x84, 0xCD, 0x5D, 0x35, 0xB4, 0x51, 0xF7, 0x64 ),
2884};
2885static const mbedtls_mpi_uint secp256k1_T_13_Y[] = {
2886 BYTES_TO_T_UINT_8( 0x6C, 0xEF, 0x96, 0xDB, 0xF2, 0x61, 0x63, 0x59 ),
2887 BYTES_TO_T_UINT_8( 0xCB, 0x04, 0x88, 0xC9, 0x9F, 0x1B, 0x94, 0xB9 ),
2888 BYTES_TO_T_UINT_8( 0xDB, 0x30, 0x79, 0x7E, 0x24, 0xE7, 0x5F, 0xB8 ),
2889 BYTES_TO_T_UINT_8( 0x3F, 0xB8, 0x90, 0xB7, 0x94, 0x25, 0xBB, 0x0F ),
2890};
2891static const mbedtls_mpi_uint secp256k1_T_14_X[] = {
2892 BYTES_TO_T_UINT_8( 0x62, 0x79, 0xEA, 0xAD, 0xC0, 0x6D, 0x18, 0x57 ),
2893 BYTES_TO_T_UINT_8( 0xE9, 0xA4, 0x58, 0x2A, 0x8D, 0x95, 0xB3, 0xE6 ),
2894 BYTES_TO_T_UINT_8( 0xC8, 0xC4, 0xC2, 0x12, 0x0D, 0x79, 0xE2, 0x2B ),
2895 BYTES_TO_T_UINT_8( 0x02, 0x6F, 0xBE, 0x97, 0x4D, 0xA4, 0x20, 0x07 ),
2896};
2897static const mbedtls_mpi_uint secp256k1_T_14_Y[] = {
2898 BYTES_TO_T_UINT_8( 0xCA, 0x31, 0x71, 0xC6, 0xA6, 0x91, 0xEB, 0x1F ),
2899 BYTES_TO_T_UINT_8( 0xB4, 0x9B, 0xA8, 0x4A, 0xE7, 0x77, 0xE1, 0xAA ),
2900 BYTES_TO_T_UINT_8( 0xA9, 0x06, 0xD3, 0x3D, 0x94, 0x30, 0xEF, 0x8C ),
2901 BYTES_TO_T_UINT_8( 0xE7, 0xDF, 0xCA, 0xFA, 0xF5, 0x28, 0xF8, 0xC9 ),
2902};
2903static const mbedtls_mpi_uint secp256k1_T_15_X[] = {
2904 BYTES_TO_T_UINT_8( 0xCC, 0xE1, 0x32, 0xFD, 0x3E, 0x81, 0xF8, 0x11 ),
2905 BYTES_TO_T_UINT_8( 0xCD, 0xF2, 0x4B, 0x1D, 0x19, 0xC9, 0x0F, 0xCC ),
2906 BYTES_TO_T_UINT_8( 0x59, 0xB1, 0x8A, 0x22, 0x8B, 0x05, 0x6B, 0x56 ),
2907 BYTES_TO_T_UINT_8( 0x35, 0x21, 0xEF, 0x30, 0xEC, 0x09, 0x2A, 0x89 ),
2908};
2909static const mbedtls_mpi_uint secp256k1_T_15_Y[] = {
2910 BYTES_TO_T_UINT_8( 0x15, 0x84, 0x4A, 0x46, 0x07, 0x6C, 0x3C, 0x4C ),
2911 BYTES_TO_T_UINT_8( 0xDD, 0x18, 0x3A, 0xF4, 0xCC, 0xF5, 0xB2, 0xF2 ),
2912 BYTES_TO_T_UINT_8( 0x4F, 0x8F, 0xCD, 0x0A, 0x9C, 0xF4, 0xBD, 0x95 ),
2913 BYTES_TO_T_UINT_8( 0x37, 0x89, 0x7F, 0x8A, 0xB1, 0x52, 0x3A, 0xAB ),
2914};
2915static const mbedtls_ecp_point secp256k1_T[16] = {
2916 ECP_POINT_INIT_XY_Z1(secp256k1_T_0_X, secp256k1_T_0_Y),
2917 ECP_POINT_INIT_XY_Z0(secp256k1_T_1_X, secp256k1_T_1_Y),
2918 ECP_POINT_INIT_XY_Z0(secp256k1_T_2_X, secp256k1_T_2_Y),
2919 ECP_POINT_INIT_XY_Z0(secp256k1_T_3_X, secp256k1_T_3_Y),
2920 ECP_POINT_INIT_XY_Z0(secp256k1_T_4_X, secp256k1_T_4_Y),
2921 ECP_POINT_INIT_XY_Z0(secp256k1_T_5_X, secp256k1_T_5_Y),
2922 ECP_POINT_INIT_XY_Z0(secp256k1_T_6_X, secp256k1_T_6_Y),
2923 ECP_POINT_INIT_XY_Z0(secp256k1_T_7_X, secp256k1_T_7_Y),
2924 ECP_POINT_INIT_XY_Z0(secp256k1_T_8_X, secp256k1_T_8_Y),
2925 ECP_POINT_INIT_XY_Z0(secp256k1_T_9_X, secp256k1_T_9_Y),
2926 ECP_POINT_INIT_XY_Z0(secp256k1_T_10_X, secp256k1_T_10_Y),
2927 ECP_POINT_INIT_XY_Z0(secp256k1_T_11_X, secp256k1_T_11_Y),
2928 ECP_POINT_INIT_XY_Z0(secp256k1_T_12_X, secp256k1_T_12_Y),
2929 ECP_POINT_INIT_XY_Z0(secp256k1_T_13_X, secp256k1_T_13_Y),
2930 ECP_POINT_INIT_XY_Z0(secp256k1_T_14_X, secp256k1_T_14_Y),
2931 ECP_POINT_INIT_XY_Z0(secp256k1_T_15_X, secp256k1_T_15_Y),
2932};
2933#else
2934#define secp256k1_T NULL
2935#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002936#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002937
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002938/*
2939 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
2940 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002941#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
2942static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002943 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
2944 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
2945 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
2946 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002947};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002948static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002949 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
2950 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
2951 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
2952 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002953};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002954static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002955 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
2956 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
2957 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
2958 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002959};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002960static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002961 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
2962 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
2963 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
2964 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002965};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002966static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002967 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
2968 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
2969 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
2970 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002971};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002972static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002973 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
2974 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
2975 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
2976 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002977};
kXuanba9cb762021-04-08 14:32:06 +08002978
2979#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2980static const mbedtls_mpi_uint brainpoolP256r1_T_0_X[] = {
2981 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
2982 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
2983 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
2984 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
2985};
2986static const mbedtls_mpi_uint brainpoolP256r1_T_0_Y[] = {
2987 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
2988 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
2989 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
2990 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
2991};
2992static const mbedtls_mpi_uint brainpoolP256r1_T_1_X[] = {
2993 BYTES_TO_T_UINT_8( 0x3C, 0xA2, 0xED, 0x52, 0xC9, 0x8C, 0xE3, 0xA5 ),
2994 BYTES_TO_T_UINT_8( 0x72, 0xC9, 0xC4, 0x87, 0x3F, 0x93, 0x7A, 0xD1 ),
2995 BYTES_TO_T_UINT_8( 0x96, 0x12, 0x53, 0x61, 0x3E, 0x76, 0x08, 0xCB ),
2996 BYTES_TO_T_UINT_8( 0x09, 0x8C, 0x74, 0xF4, 0x08, 0xC3, 0x76, 0x80 ),
2997};
2998static const mbedtls_mpi_uint brainpoolP256r1_T_1_Y[] = {
2999 BYTES_TO_T_UINT_8( 0x05, 0xDD, 0x09, 0xA6, 0xED, 0xEE, 0xC4, 0x38 ),
3000 BYTES_TO_T_UINT_8( 0x74, 0xD9, 0xBE, 0x4B, 0xA5, 0xB7, 0x2B, 0x6E ),
3001 BYTES_TO_T_UINT_8( 0x42, 0x20, 0x12, 0xCA, 0x0A, 0x38, 0x24, 0xAB ),
3002 BYTES_TO_T_UINT_8( 0x00, 0x72, 0x71, 0x90, 0x7A, 0x2E, 0xB7, 0x23 ),
3003};
3004static const mbedtls_mpi_uint brainpoolP256r1_T_2_X[] = {
3005 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0xA1, 0x93, 0x10, 0x2A, 0x51, 0x17 ),
3006 BYTES_TO_T_UINT_8( 0x88, 0x10, 0x11, 0x12, 0xBC, 0xB0, 0xB6, 0x93 ),
3007 BYTES_TO_T_UINT_8( 0x3C, 0x58, 0xD7, 0x0A, 0x84, 0x05, 0xA3, 0x9C ),
3008 BYTES_TO_T_UINT_8( 0xF7, 0x8E, 0x95, 0x61, 0xD3, 0x0B, 0xDF, 0x36 ),
3009};
3010static const mbedtls_mpi_uint brainpoolP256r1_T_2_Y[] = {
3011 BYTES_TO_T_UINT_8( 0xF9, 0x92, 0x12, 0x0F, 0x5E, 0x87, 0x70, 0x1B ),
3012 BYTES_TO_T_UINT_8( 0x38, 0xE9, 0x9B, 0xEB, 0x3A, 0xFB, 0xCF, 0xC4 ),
3013 BYTES_TO_T_UINT_8( 0xDC, 0x92, 0xB9, 0xF7, 0x45, 0xD3, 0x06, 0xB6 ),
3014 BYTES_TO_T_UINT_8( 0x82, 0x28, 0x65, 0xE1, 0xC5, 0x6C, 0x57, 0x18 ),
3015};
3016static const mbedtls_mpi_uint brainpoolP256r1_T_3_X[] = {
3017 BYTES_TO_T_UINT_8( 0x28, 0x0E, 0x77, 0x01, 0x81, 0x9E, 0x38, 0x5C ),
3018 BYTES_TO_T_UINT_8( 0x71, 0xF0, 0xD5, 0xA5, 0x91, 0x2B, 0xDF, 0xC0 ),
3019 BYTES_TO_T_UINT_8( 0xD8, 0xEE, 0xB6, 0x25, 0xD6, 0x98, 0xDE, 0x2D ),
3020 BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0x55, 0x63, 0x39, 0xEB, 0xB5, 0x47 ),
3021};
3022static const mbedtls_mpi_uint brainpoolP256r1_T_3_Y[] = {
3023 BYTES_TO_T_UINT_8( 0xB6, 0xD6, 0xB8, 0xE3, 0x13, 0xED, 0x7F, 0xA3 ),
3024 BYTES_TO_T_UINT_8( 0x6C, 0xE8, 0xAE, 0x36, 0xB8, 0xCD, 0x19, 0x02 ),
3025 BYTES_TO_T_UINT_8( 0xF9, 0x82, 0x83, 0x7A, 0x7B, 0x46, 0x56, 0xE8 ),
3026 BYTES_TO_T_UINT_8( 0x4E, 0x60, 0x46, 0x15, 0x5A, 0xAC, 0x99, 0x30 ),
3027};
3028static const mbedtls_mpi_uint brainpoolP256r1_T_4_X[] = {
3029 BYTES_TO_T_UINT_8( 0xBF, 0x61, 0x50, 0xC6, 0xFF, 0x10, 0x7D, 0x04 ),
3030 BYTES_TO_T_UINT_8( 0x92, 0x51, 0xDF, 0xA9, 0x7D, 0x78, 0x26, 0x74 ),
3031 BYTES_TO_T_UINT_8( 0x56, 0x15, 0x9A, 0xF7, 0x01, 0xC1, 0xBB, 0x40 ),
3032 BYTES_TO_T_UINT_8( 0x26, 0x0F, 0xE6, 0x2A, 0xBD, 0x4A, 0x9E, 0x87 ),
3033};
3034static const mbedtls_mpi_uint brainpoolP256r1_T_4_Y[] = {
3035 BYTES_TO_T_UINT_8( 0x57, 0xF8, 0xD1, 0x77, 0xD2, 0x49, 0xB3, 0xDD ),
3036 BYTES_TO_T_UINT_8( 0x36, 0x86, 0xFB, 0x9E, 0x1F, 0x5A, 0x60, 0x47 ),
3037 BYTES_TO_T_UINT_8( 0x98, 0xC4, 0x8D, 0xCD, 0x86, 0x61, 0x2F, 0xF9 ),
3038 BYTES_TO_T_UINT_8( 0x41, 0xF6, 0xB9, 0xAC, 0x37, 0x9D, 0xE9, 0x28 ),
3039};
3040static const mbedtls_mpi_uint brainpoolP256r1_T_5_X[] = {
3041 BYTES_TO_T_UINT_8( 0xFA, 0x77, 0xAA, 0x97, 0x9C, 0x0B, 0x04, 0x20 ),
3042 BYTES_TO_T_UINT_8( 0x80, 0xA6, 0x60, 0x81, 0xCE, 0x25, 0x13, 0x3E ),
3043 BYTES_TO_T_UINT_8( 0x24, 0x00, 0xF3, 0xBB, 0x82, 0x99, 0x95, 0xB7 ),
3044 BYTES_TO_T_UINT_8( 0x47, 0x5A, 0xCE, 0x90, 0x71, 0x38, 0x2F, 0x10 ),
3045};
3046static const mbedtls_mpi_uint brainpoolP256r1_T_5_Y[] = {
3047 BYTES_TO_T_UINT_8( 0xA7, 0x1A, 0xC0, 0x84, 0x27, 0xD6, 0x9D, 0xB7 ),
3048 BYTES_TO_T_UINT_8( 0x34, 0x37, 0x52, 0x16, 0x13, 0x0E, 0xCE, 0x92 ),
3049 BYTES_TO_T_UINT_8( 0x1E, 0xBF, 0x5A, 0xDB, 0xDB, 0x6E, 0x1E, 0x69 ),
3050 BYTES_TO_T_UINT_8( 0x3E, 0xB7, 0x5E, 0xF9, 0x86, 0xDD, 0x8A, 0x5C ),
3051};
3052static const mbedtls_mpi_uint brainpoolP256r1_T_6_X[] = {
3053 BYTES_TO_T_UINT_8( 0x3D, 0xAB, 0x5C, 0x8D, 0x1D, 0xF2, 0x2D, 0x1E ),
3054 BYTES_TO_T_UINT_8( 0x65, 0xC5, 0xF8, 0xF7, 0x1D, 0x96, 0x0B, 0x4D ),
3055 BYTES_TO_T_UINT_8( 0xAC, 0x4C, 0xA7, 0x45, 0x20, 0x6A, 0x1E, 0x5B ),
3056 BYTES_TO_T_UINT_8( 0x21, 0x5D, 0xEF, 0xDE, 0xEE, 0x39, 0x44, 0x19 ),
3057};
3058static const mbedtls_mpi_uint brainpoolP256r1_T_6_Y[] = {
3059 BYTES_TO_T_UINT_8( 0x4B, 0x2F, 0x6D, 0x52, 0xC9, 0x58, 0x60, 0xE8 ),
3060 BYTES_TO_T_UINT_8( 0xC3, 0xC9, 0x62, 0xCB, 0x38, 0x3C, 0x55, 0xCA ),
3061 BYTES_TO_T_UINT_8( 0xFF, 0xA5, 0x09, 0x10, 0x88, 0xDB, 0xE3, 0xBD ),
3062 BYTES_TO_T_UINT_8( 0x52, 0xE0, 0x3C, 0xCE, 0x06, 0x0B, 0x4B, 0x5D ),
3063};
3064static const mbedtls_mpi_uint brainpoolP256r1_T_7_X[] = {
3065 BYTES_TO_T_UINT_8( 0xB1, 0x1D, 0xB4, 0x10, 0x76, 0x8F, 0xBA, 0x09 ),
3066 BYTES_TO_T_UINT_8( 0x57, 0x70, 0x5A, 0x07, 0xF5, 0x1A, 0x74, 0xC7 ),
3067 BYTES_TO_T_UINT_8( 0x0B, 0xE9, 0x94, 0xA8, 0xC0, 0xD5, 0x4A, 0x4A ),
3068 BYTES_TO_T_UINT_8( 0x3E, 0x6D, 0xD4, 0xE8, 0x9B, 0xE9, 0x6D, 0x0E ),
3069};
3070static const mbedtls_mpi_uint brainpoolP256r1_T_7_Y[] = {
3071 BYTES_TO_T_UINT_8( 0x65, 0x00, 0x32, 0x41, 0x57, 0x84, 0x89, 0x52 ),
3072 BYTES_TO_T_UINT_8( 0xEE, 0xC7, 0x14, 0xEC, 0xE9, 0x27, 0xFF, 0xF3 ),
3073 BYTES_TO_T_UINT_8( 0x9A, 0x67, 0x9E, 0xFB, 0xB6, 0xB8, 0x96, 0xF3 ),
3074 BYTES_TO_T_UINT_8( 0xE5, 0x4A, 0xE3, 0x97, 0x4B, 0x58, 0xDE, 0x30 ),
3075};
3076static const mbedtls_mpi_uint brainpoolP256r1_T_8_X[] = {
3077 BYTES_TO_T_UINT_8( 0xA6, 0x1E, 0x5C, 0xF5, 0x7F, 0xD5, 0xD4, 0xAA ),
3078 BYTES_TO_T_UINT_8( 0x5D, 0x08, 0x7A, 0xF1, 0xBD, 0x89, 0xC7, 0x1E ),
3079 BYTES_TO_T_UINT_8( 0x3A, 0xF9, 0x11, 0x1B, 0xF5, 0x3C, 0x6D, 0x8C ),
3080 BYTES_TO_T_UINT_8( 0x19, 0x50, 0xE5, 0x69, 0x1D, 0x59, 0xFC, 0x0C ),
3081};
3082static const mbedtls_mpi_uint brainpoolP256r1_T_8_Y[] = {
3083 BYTES_TO_T_UINT_8( 0xF1, 0x2F, 0xF8, 0x3F, 0xEC, 0x55, 0x99, 0x57 ),
3084 BYTES_TO_T_UINT_8( 0x41, 0xA7, 0x29, 0x90, 0x43, 0x81, 0x31, 0x4C ),
3085 BYTES_TO_T_UINT_8( 0xC3, 0x18, 0x44, 0x50, 0x5D, 0x76, 0xCB, 0xDD ),
3086 BYTES_TO_T_UINT_8( 0xF0, 0xC5, 0x5B, 0x9A, 0x03, 0xE6, 0x17, 0x39 ),
3087};
3088static const mbedtls_mpi_uint brainpoolP256r1_T_9_X[] = {
3089 BYTES_TO_T_UINT_8( 0x21, 0x89, 0xFC, 0x55, 0x94, 0x91, 0x6A, 0xA2 ),
3090 BYTES_TO_T_UINT_8( 0x74, 0x46, 0x35, 0xF2, 0x3A, 0x42, 0x08, 0x2F ),
3091 BYTES_TO_T_UINT_8( 0xD3, 0xD2, 0x76, 0x49, 0x42, 0x87, 0xD3, 0x7F ),
3092 BYTES_TO_T_UINT_8( 0x90, 0xEA, 0xA0, 0x52, 0xF1, 0x6A, 0x30, 0x57 ),
3093};
3094static const mbedtls_mpi_uint brainpoolP256r1_T_9_Y[] = {
3095 BYTES_TO_T_UINT_8( 0x00, 0xB2, 0x57, 0xA3, 0x8A, 0x4D, 0x1B, 0x3C ),
3096 BYTES_TO_T_UINT_8( 0xFC, 0xA3, 0x99, 0x94, 0xB5, 0x3D, 0x64, 0x09 ),
3097 BYTES_TO_T_UINT_8( 0x35, 0xC3, 0xD7, 0x53, 0xF6, 0x49, 0x1C, 0x60 ),
3098 BYTES_TO_T_UINT_8( 0x27, 0x23, 0x41, 0x4D, 0xFB, 0x7A, 0x5C, 0x53 ),
3099};
3100static const mbedtls_mpi_uint brainpoolP256r1_T_10_X[] = {
3101 BYTES_TO_T_UINT_8( 0xCA, 0xB8, 0x15, 0x65, 0x5C, 0x85, 0x94, 0xD7 ),
3102 BYTES_TO_T_UINT_8( 0xAC, 0x37, 0xC7, 0xF8, 0x7E, 0xAE, 0x6C, 0x10 ),
3103 BYTES_TO_T_UINT_8( 0x53, 0xD8, 0x11, 0x54, 0x98, 0x44, 0xE3, 0xF1 ),
3104 BYTES_TO_T_UINT_8( 0xE4, 0x4D, 0xA6, 0x4B, 0x28, 0xF2, 0x57, 0x9E ),
3105};
3106static const mbedtls_mpi_uint brainpoolP256r1_T_10_Y[] = {
3107 BYTES_TO_T_UINT_8( 0xF6, 0xD0, 0xEB, 0x1E, 0xAA, 0x30, 0xD3, 0x6A ),
3108 BYTES_TO_T_UINT_8( 0x58, 0x9B, 0x4D, 0xA7, 0x73, 0x6E, 0xB6, 0x45 ),
3109 BYTES_TO_T_UINT_8( 0x5D, 0x47, 0xF6, 0xED, 0x37, 0xEF, 0x71, 0x4D ),
3110 BYTES_TO_T_UINT_8( 0xA8, 0xB5, 0x49, 0x61, 0x5E, 0x45, 0xF6, 0x4A ),
3111};
3112static const mbedtls_mpi_uint brainpoolP256r1_T_11_X[] = {
3113 BYTES_TO_T_UINT_8( 0xEF, 0x0E, 0xB3, 0x84, 0x3A, 0x63, 0x72, 0x84 ),
3114 BYTES_TO_T_UINT_8( 0x6D, 0x53, 0x5C, 0xA7, 0xC6, 0x2E, 0xAB, 0x9E ),
3115 BYTES_TO_T_UINT_8( 0xEB, 0x0F, 0x8F, 0x87, 0x50, 0x28, 0xB4, 0xAE ),
3116 BYTES_TO_T_UINT_8( 0x5C, 0x98, 0x4A, 0x98, 0x31, 0x86, 0xCA, 0x51 ),
3117};
3118static const mbedtls_mpi_uint brainpoolP256r1_T_11_Y[] = {
3119 BYTES_TO_T_UINT_8( 0xBE, 0xC9, 0xE2, 0xFD, 0x5D, 0x1F, 0xE8, 0xC2 ),
3120 BYTES_TO_T_UINT_8( 0xD5, 0x90, 0x91, 0xC4, 0x84, 0xF0, 0xBA, 0xC5 ),
3121 BYTES_TO_T_UINT_8( 0x6C, 0x5A, 0xB3, 0x4E, 0xFB, 0xE0, 0x57, 0xE8 ),
3122 BYTES_TO_T_UINT_8( 0x6B, 0x0B, 0x90, 0xA6, 0xFD, 0x9D, 0x8E, 0x02 ),
3123};
3124static const mbedtls_mpi_uint brainpoolP256r1_T_12_X[] = {
3125 BYTES_TO_T_UINT_8( 0xF8, 0x41, 0x8F, 0x31, 0xFA, 0x5A, 0xF6, 0x33 ),
3126 BYTES_TO_T_UINT_8( 0xAC, 0xE9, 0xE3, 0xF6, 0xE0, 0x4A, 0xE7, 0xD2 ),
3127 BYTES_TO_T_UINT_8( 0x84, 0x4E, 0xCD, 0xA2, 0x22, 0x14, 0xD4, 0x12 ),
3128 BYTES_TO_T_UINT_8( 0x7C, 0xED, 0x21, 0xB7, 0x0F, 0x53, 0x10, 0x17 ),
3129};
3130static const mbedtls_mpi_uint brainpoolP256r1_T_12_Y[] = {
3131 BYTES_TO_T_UINT_8( 0x05, 0x06, 0x24, 0x2C, 0x4E, 0xD1, 0x1E, 0x9F ),
3132 BYTES_TO_T_UINT_8( 0xD7, 0x3F, 0xC1, 0x9F, 0xAB, 0xF0, 0x37, 0x95 ),
3133 BYTES_TO_T_UINT_8( 0x03, 0x5E, 0x12, 0xCE, 0x83, 0x1B, 0x2A, 0x18 ),
3134 BYTES_TO_T_UINT_8( 0x61, 0x65, 0xCF, 0xE8, 0x5C, 0xA5, 0xA2, 0x70 ),
3135};
3136static const mbedtls_mpi_uint brainpoolP256r1_T_13_X[] = {
3137 BYTES_TO_T_UINT_8( 0xB8, 0x86, 0x76, 0x3A, 0x94, 0xF6, 0x1D, 0xC1 ),
3138 BYTES_TO_T_UINT_8( 0x1D, 0xDA, 0xC9, 0xA6, 0x29, 0x93, 0x15, 0x10 ),
3139 BYTES_TO_T_UINT_8( 0x6D, 0x61, 0x6A, 0x7D, 0xC7, 0xA9, 0xF3, 0x76 ),
3140 BYTES_TO_T_UINT_8( 0x4A, 0x03, 0x71, 0xA2, 0x15, 0xCE, 0x50, 0x72 ),
3141};
3142static const mbedtls_mpi_uint brainpoolP256r1_T_13_Y[] = {
3143 BYTES_TO_T_UINT_8( 0xB6, 0xD0, 0xA8, 0x1E, 0x91, 0xC4, 0x4F, 0x24 ),
3144 BYTES_TO_T_UINT_8( 0x2D, 0x4B, 0x7E, 0xD7, 0x71, 0x58, 0x7E, 0x1E ),
3145 BYTES_TO_T_UINT_8( 0x93, 0x45, 0xAF, 0x2A, 0x18, 0x93, 0x95, 0x3B ),
3146 BYTES_TO_T_UINT_8( 0x1B, 0x8F, 0xC7, 0xFA, 0x4C, 0x7A, 0x86, 0x54 ),
3147};
3148static const mbedtls_mpi_uint brainpoolP256r1_T_14_X[] = {
3149 BYTES_TO_T_UINT_8( 0x97, 0xAF, 0x68, 0x3A, 0x23, 0xC1, 0x2E, 0xBF ),
3150 BYTES_TO_T_UINT_8( 0x89, 0x50, 0x11, 0x67, 0x39, 0xB9, 0xAF, 0x48 ),
3151 BYTES_TO_T_UINT_8( 0x19, 0x86, 0xAA, 0x1E, 0x88, 0x21, 0x29, 0x8B ),
3152 BYTES_TO_T_UINT_8( 0xCD, 0x28, 0xA4, 0x9D, 0x89, 0xA9, 0x9A, 0x10 ),
3153};
3154static const mbedtls_mpi_uint brainpoolP256r1_T_14_Y[] = {
3155 BYTES_TO_T_UINT_8( 0x91, 0xBA, 0x04, 0x67, 0xB7, 0x01, 0x40, 0x38 ),
3156 BYTES_TO_T_UINT_8( 0x08, 0xE9, 0x09, 0xA3, 0xCA, 0xA6, 0x37, 0xF6 ),
3157 BYTES_TO_T_UINT_8( 0x6C, 0x97, 0xA8, 0xB6, 0x3C, 0xEE, 0x90, 0x3D ),
3158 BYTES_TO_T_UINT_8( 0xDC, 0xED, 0xC4, 0xF7, 0xC3, 0x95, 0xEC, 0x85 ),
3159};
3160static const mbedtls_mpi_uint brainpoolP256r1_T_15_X[] = {
3161 BYTES_TO_T_UINT_8( 0xF5, 0x84, 0xBD, 0xEB, 0xD5, 0x64, 0xBB, 0x9D ),
3162 BYTES_TO_T_UINT_8( 0xDB, 0x9B, 0xE2, 0x28, 0x50, 0xC2, 0x72, 0x40 ),
3163 BYTES_TO_T_UINT_8( 0x39, 0xF2, 0x74, 0xD1, 0x26, 0xBF, 0x32, 0x68 ),
3164 BYTES_TO_T_UINT_8( 0x36, 0xCB, 0xAF, 0x72, 0xDB, 0x6D, 0x30, 0x98 ),
3165};
3166static const mbedtls_mpi_uint brainpoolP256r1_T_15_Y[] = {
3167 BYTES_TO_T_UINT_8( 0xB3, 0x50, 0x85, 0xF4, 0x2B, 0x48, 0xC1, 0xAD ),
3168 BYTES_TO_T_UINT_8( 0xC0, 0x28, 0xBB, 0x11, 0xBA, 0x5B, 0x22, 0x6C ),
3169 BYTES_TO_T_UINT_8( 0xAD, 0xA1, 0xE5, 0x5C, 0xC9, 0x1D, 0x44, 0x45 ),
3170 BYTES_TO_T_UINT_8( 0xD4, 0xE8, 0xE6, 0x6F, 0xBB, 0xC1, 0x81, 0x7F ),
3171};
3172static const mbedtls_ecp_point brainpoolP256r1_T[16] = {
3173 ECP_POINT_INIT_XY_Z1(brainpoolP256r1_T_0_X, brainpoolP256r1_T_0_Y),
3174 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_1_X, brainpoolP256r1_T_1_Y),
3175 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_2_X, brainpoolP256r1_T_2_Y),
3176 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_3_X, brainpoolP256r1_T_3_Y),
3177 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_4_X, brainpoolP256r1_T_4_Y),
3178 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_5_X, brainpoolP256r1_T_5_Y),
3179 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_6_X, brainpoolP256r1_T_6_Y),
3180 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_7_X, brainpoolP256r1_T_7_Y),
3181 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_8_X, brainpoolP256r1_T_8_Y),
3182 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_9_X, brainpoolP256r1_T_9_Y),
3183 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_10_X, brainpoolP256r1_T_10_Y),
3184 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_11_X, brainpoolP256r1_T_11_Y),
3185 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_12_X, brainpoolP256r1_T_12_Y),
3186 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_13_X, brainpoolP256r1_T_13_Y),
3187 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_14_X, brainpoolP256r1_T_14_Y),
3188 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_15_X, brainpoolP256r1_T_15_Y),
3189};
3190#else
3191#define brainpoolP256r1_T NULL
3192#endif
3193
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003194#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003195
3196/*
3197 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
3198 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003199#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
3200static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003201 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
3202 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
3203 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
3204 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
3205 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
3206 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003207};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003208static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003209 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
3210 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
3211 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
3212 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
3213 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
3214 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003215};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003216static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003217 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
3218 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
3219 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
3220 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
3221 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
3222 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003223};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003224static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003225 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
3226 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
3227 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
3228 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
3229 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
3230 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003231};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003232static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003233 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
3234 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
3235 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
3236 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
3237 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
3238 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003239};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003240static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003241 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
3242 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
3243 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
3244 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
3245 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
3246 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003247};
kXuanba9cb762021-04-08 14:32:06 +08003248
3249#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3250static const mbedtls_mpi_uint brainpoolP384r1_T_0_X[] = {
3251 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
3252 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
3253 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
3254 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
3255 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
3256 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
3257};
3258static const mbedtls_mpi_uint brainpoolP384r1_T_0_Y[] = {
3259 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
3260 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
3261 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
3262 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
3263 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
3264 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
3265};
3266static const mbedtls_mpi_uint brainpoolP384r1_T_1_X[] = {
3267 BYTES_TO_T_UINT_8( 0x93, 0xD8, 0x8A, 0x54, 0x41, 0xD6, 0x6B, 0x1D ),
3268 BYTES_TO_T_UINT_8( 0xE2, 0x3B, 0xF1, 0x22, 0xFD, 0x2D, 0x4B, 0x03 ),
3269 BYTES_TO_T_UINT_8( 0x01, 0x55, 0xE3, 0x33, 0xF0, 0x73, 0x52, 0x5A ),
3270 BYTES_TO_T_UINT_8( 0xC1, 0x3F, 0x30, 0x26, 0xCA, 0x7F, 0x52, 0xA3 ),
3271 BYTES_TO_T_UINT_8( 0xD3, 0x6E, 0x17, 0x9B, 0xD5, 0x2A, 0x4A, 0x31 ),
3272 BYTES_TO_T_UINT_8( 0x86, 0xDA, 0x6B, 0xE5, 0x03, 0x07, 0x1D, 0x2E ),
3273};
3274static const mbedtls_mpi_uint brainpoolP384r1_T_1_Y[] = {
3275 BYTES_TO_T_UINT_8( 0x51, 0x7A, 0xAF, 0x98, 0xE3, 0xA4, 0xF6, 0x19 ),
3276 BYTES_TO_T_UINT_8( 0xEC, 0x7D, 0xFE, 0x51, 0x40, 0x3B, 0x47, 0xD2 ),
3277 BYTES_TO_T_UINT_8( 0xFC, 0x88, 0xEC, 0xC4, 0xE2, 0x8F, 0xCB, 0xA4 ),
3278 BYTES_TO_T_UINT_8( 0x30, 0xE2, 0x88, 0x2D, 0x4E, 0x50, 0xEB, 0x9A ),
3279 BYTES_TO_T_UINT_8( 0x13, 0x54, 0x94, 0x5E, 0xF4, 0x7F, 0x3A, 0x04 ),
3280 BYTES_TO_T_UINT_8( 0xCD, 0x07, 0x1C, 0xE1, 0xBD, 0x0F, 0xF8, 0x63 ),
3281};
3282static const mbedtls_mpi_uint brainpoolP384r1_T_2_X[] = {
3283 BYTES_TO_T_UINT_8( 0x94, 0x92, 0x28, 0x2E, 0x32, 0x04, 0xB1, 0x4D ),
3284 BYTES_TO_T_UINT_8( 0x25, 0x82, 0x44, 0x43, 0x76, 0x0D, 0x55, 0xBF ),
3285 BYTES_TO_T_UINT_8( 0x5B, 0xE3, 0xFF, 0x89, 0x46, 0xDE, 0x4E, 0xFE ),
3286 BYTES_TO_T_UINT_8( 0x5B, 0x22, 0xBB, 0x67, 0x1A, 0x81, 0xEE, 0x27 ),
3287 BYTES_TO_T_UINT_8( 0xC8, 0x54, 0xE2, 0x7A, 0xAE, 0xDA, 0x2C, 0xD0 ),
3288 BYTES_TO_T_UINT_8( 0x74, 0x9A, 0x90, 0xAA, 0x6E, 0x8B, 0xCC, 0x5F ),
3289};
3290static const mbedtls_mpi_uint brainpoolP384r1_T_2_Y[] = {
3291 BYTES_TO_T_UINT_8( 0x16, 0x40, 0xAC, 0xED, 0x7D, 0x37, 0x87, 0xAC ),
3292 BYTES_TO_T_UINT_8( 0x98, 0xF8, 0xB1, 0x80, 0x4C, 0x8C, 0x04, 0x42 ),
3293 BYTES_TO_T_UINT_8( 0xC2, 0x98, 0x2C, 0xAD, 0x30, 0x69, 0x35, 0xC0 ),
3294 BYTES_TO_T_UINT_8( 0x32, 0x2E, 0x00, 0x2F, 0x44, 0x8C, 0xF0, 0xC0 ),
3295 BYTES_TO_T_UINT_8( 0x16, 0x58, 0x07, 0xD7, 0xCD, 0x60, 0xA1, 0x5B ),
3296 BYTES_TO_T_UINT_8( 0xAF, 0xFB, 0x7B, 0x03, 0x05, 0x5E, 0x79, 0x73 ),
3297};
3298static const mbedtls_mpi_uint brainpoolP384r1_T_3_X[] = {
3299 BYTES_TO_T_UINT_8( 0xC8, 0x17, 0xCE, 0x38, 0x4B, 0x5E, 0x5B, 0xC8 ),
3300 BYTES_TO_T_UINT_8( 0x60, 0x0E, 0x0A, 0x61, 0x9D, 0x7C, 0x62, 0x08 ),
3301 BYTES_TO_T_UINT_8( 0x25, 0xF0, 0x98, 0x71, 0x7F, 0x17, 0x26, 0xD7 ),
3302 BYTES_TO_T_UINT_8( 0x83, 0xD3, 0xFA, 0x3C, 0xF0, 0x70, 0x07, 0x82 ),
3303 BYTES_TO_T_UINT_8( 0x29, 0x47, 0x5C, 0x09, 0x43, 0xB7, 0x65, 0x15 ),
3304 BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xA7, 0x3E, 0xFA, 0xF3, 0xEC, 0x22 ),
3305};
3306static const mbedtls_mpi_uint brainpoolP384r1_T_3_Y[] = {
3307 BYTES_TO_T_UINT_8( 0xDA, 0x78, 0x22, 0x2B, 0x58, 0x71, 0xFA, 0xAA ),
3308 BYTES_TO_T_UINT_8( 0x00, 0x30, 0xCE, 0x6A, 0xB3, 0xB0, 0x4F, 0x83 ),
3309 BYTES_TO_T_UINT_8( 0xCF, 0x95, 0x20, 0xA9, 0x23, 0xC2, 0x65, 0xE7 ),
3310 BYTES_TO_T_UINT_8( 0x55, 0xCF, 0x03, 0x5B, 0x8A, 0x80, 0x44, 0xBB ),
3311 BYTES_TO_T_UINT_8( 0x5C, 0xF8, 0x91, 0xF7, 0xD5, 0xED, 0xEA, 0x81 ),
3312 BYTES_TO_T_UINT_8( 0x40, 0x5B, 0x16, 0x10, 0x25, 0xAC, 0x2A, 0x17 ),
3313};
3314static const mbedtls_mpi_uint brainpoolP384r1_T_4_X[] = {
3315 BYTES_TO_T_UINT_8( 0xF2, 0xEC, 0xDC, 0xC4, 0x7B, 0x8C, 0x6B, 0xE9 ),
3316 BYTES_TO_T_UINT_8( 0x2B, 0xBB, 0x1C, 0xD3, 0x5A, 0xEE, 0xD9, 0x97 ),
3317 BYTES_TO_T_UINT_8( 0x64, 0x5D, 0x30, 0x5E, 0xF7, 0xB2, 0x41, 0x9D ),
3318 BYTES_TO_T_UINT_8( 0xED, 0xCE, 0x0F, 0x1A, 0xC6, 0x41, 0x64, 0x62 ),
3319 BYTES_TO_T_UINT_8( 0xF2, 0x18, 0xE1, 0xE3, 0x82, 0x15, 0x66, 0x4B ),
3320 BYTES_TO_T_UINT_8( 0x9B, 0xE2, 0x24, 0x04, 0x72, 0x39, 0xA0, 0x7C ),
3321};
3322static const mbedtls_mpi_uint brainpoolP384r1_T_4_Y[] = {
3323 BYTES_TO_T_UINT_8( 0x2B, 0x51, 0xA2, 0x58, 0x88, 0x62, 0xE1, 0x02 ),
3324 BYTES_TO_T_UINT_8( 0x58, 0xD2, 0x65, 0x14, 0xE9, 0x4C, 0x82, 0x30 ),
3325 BYTES_TO_T_UINT_8( 0xDC, 0xE1, 0xAC, 0x87, 0xAE, 0x31, 0x1A, 0x7A ),
3326 BYTES_TO_T_UINT_8( 0x85, 0x4F, 0x96, 0x1E, 0x85, 0x7A, 0xC3, 0x2B ),
3327 BYTES_TO_T_UINT_8( 0xF0, 0x86, 0xBB, 0xF0, 0xC0, 0x9D, 0x08, 0x7B ),
3328 BYTES_TO_T_UINT_8( 0xBD, 0x53, 0x03, 0x09, 0x80, 0x91, 0xEF, 0x68 ),
3329};
3330static const mbedtls_mpi_uint brainpoolP384r1_T_5_X[] = {
3331 BYTES_TO_T_UINT_8( 0x2D, 0xD7, 0xAF, 0x6F, 0x69, 0x7B, 0x88, 0xA1 ),
3332 BYTES_TO_T_UINT_8( 0xAF, 0x13, 0xE4, 0x30, 0xA2, 0x47, 0xB5, 0xC1 ),
3333 BYTES_TO_T_UINT_8( 0x0F, 0xD2, 0xC0, 0xDD, 0x8A, 0x1C, 0x3C, 0xF2 ),
3334 BYTES_TO_T_UINT_8( 0xF9, 0x8C, 0xB3, 0x4C, 0xBA, 0x8B, 0x6D, 0xCF ),
3335 BYTES_TO_T_UINT_8( 0x6B, 0xC7, 0xA1, 0xA8, 0x6E, 0x3C, 0x4F, 0xF1 ),
3336 BYTES_TO_T_UINT_8( 0x94, 0x4A, 0x97, 0xC8, 0x03, 0x6F, 0x01, 0x82 ),
3337};
3338static const mbedtls_mpi_uint brainpoolP384r1_T_5_Y[] = {
3339 BYTES_TO_T_UINT_8( 0x74, 0x18, 0x12, 0xA9, 0x39, 0xD5, 0x22, 0x26 ),
3340 BYTES_TO_T_UINT_8( 0x47, 0xA7, 0xC0, 0xBD, 0x9D, 0x8D, 0x78, 0x38 ),
3341 BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xD0, 0x7F, 0xDF, 0xD0, 0x30, 0xDE ),
3342 BYTES_TO_T_UINT_8( 0x37, 0x25, 0x73, 0x96, 0xEC, 0xA8, 0x1D, 0x7C ),
3343 BYTES_TO_T_UINT_8( 0x91, 0xD1, 0x65, 0x66, 0xDC, 0xD9, 0xCF, 0xDF ),
3344 BYTES_TO_T_UINT_8( 0x95, 0xED, 0x7B, 0x37, 0xAD, 0xE2, 0xBE, 0x2D ),
3345};
3346static const mbedtls_mpi_uint brainpoolP384r1_T_6_X[] = {
3347 BYTES_TO_T_UINT_8( 0x50, 0x79, 0x42, 0x6A, 0x07, 0x66, 0xB1, 0xBD ),
3348 BYTES_TO_T_UINT_8( 0x45, 0x53, 0x62, 0x65, 0x92, 0x09, 0x4C, 0xA1 ),
3349 BYTES_TO_T_UINT_8( 0x06, 0xAF, 0xC3, 0x03, 0xF6, 0xF4, 0x2D, 0x9B ),
3350 BYTES_TO_T_UINT_8( 0xE8, 0xCA, 0x41, 0xD9, 0xA2, 0x69, 0x9B, 0xC9 ),
3351 BYTES_TO_T_UINT_8( 0x4B, 0xB2, 0xA6, 0x8D, 0xE1, 0xAA, 0x61, 0x76 ),
3352 BYTES_TO_T_UINT_8( 0x11, 0xBA, 0x4D, 0x12, 0xB6, 0xBE, 0xF3, 0x7E ),
3353};
3354static const mbedtls_mpi_uint brainpoolP384r1_T_6_Y[] = {
3355 BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x92, 0x22, 0x07, 0xCE, 0xC9, 0x26 ),
3356 BYTES_TO_T_UINT_8( 0x62, 0xA1, 0x7C, 0x91, 0xDB, 0x32, 0xF7, 0xE5 ),
3357 BYTES_TO_T_UINT_8( 0x6D, 0x49, 0x4B, 0x6D, 0xFB, 0xD9, 0x70, 0x3B ),
3358 BYTES_TO_T_UINT_8( 0x1C, 0xFB, 0x4E, 0x4C, 0x5E, 0x66, 0x81, 0x1D ),
3359 BYTES_TO_T_UINT_8( 0xA5, 0xB3, 0xE1, 0x00, 0xB7, 0xD9, 0xCC, 0x58 ),
3360 BYTES_TO_T_UINT_8( 0xF3, 0x36, 0x8B, 0xC4, 0x39, 0x20, 0xFD, 0x30 ),
3361};
3362static const mbedtls_mpi_uint brainpoolP384r1_T_7_X[] = {
3363 BYTES_TO_T_UINT_8( 0x94, 0x1F, 0x60, 0x03, 0xBB, 0xD7, 0x60, 0x57 ),
3364 BYTES_TO_T_UINT_8( 0x72, 0x3C, 0x62, 0xDD, 0x71, 0x95, 0xE9, 0x61 ),
3365 BYTES_TO_T_UINT_8( 0xB0, 0x5B, 0x7A, 0x5F, 0x68, 0x81, 0xC5, 0x90 ),
3366 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xB5, 0xB9, 0x98, 0x42, 0x28, 0xA5 ),
3367 BYTES_TO_T_UINT_8( 0x0C, 0x29, 0x8E, 0x11, 0x49, 0xB4, 0xD7, 0x20 ),
3368 BYTES_TO_T_UINT_8( 0x9B, 0x3E, 0xD2, 0x30, 0xA1, 0xBA, 0xCA, 0x03 ),
3369};
3370static const mbedtls_mpi_uint brainpoolP384r1_T_7_Y[] = {
3371 BYTES_TO_T_UINT_8( 0x29, 0x37, 0x64, 0x44, 0x2F, 0x03, 0xE5, 0x41 ),
3372 BYTES_TO_T_UINT_8( 0x4A, 0x42, 0xBC, 0xFF, 0xA2, 0x1A, 0x5F, 0x06 ),
3373 BYTES_TO_T_UINT_8( 0x1D, 0x04, 0xAB, 0x04, 0xE0, 0x24, 0xAD, 0x2A ),
3374 BYTES_TO_T_UINT_8( 0x3D, 0x45, 0x17, 0x67, 0x1F, 0x3E, 0x53, 0xF8 ),
3375 BYTES_TO_T_UINT_8( 0xED, 0x0F, 0xB3, 0x1B, 0x57, 0x54, 0xC2, 0x03 ),
3376 BYTES_TO_T_UINT_8( 0x59, 0xD3, 0xF8, 0xC4, 0x1B, 0x9B, 0xFA, 0x30 ),
3377};
3378static const mbedtls_mpi_uint brainpoolP384r1_T_8_X[] = {
3379 BYTES_TO_T_UINT_8( 0x37, 0x90, 0xFD, 0xFB, 0xCA, 0x49, 0x38, 0x4E ),
3380 BYTES_TO_T_UINT_8( 0xC3, 0xCF, 0xC6, 0xDD, 0xF0, 0xFF, 0x8C, 0x11 ),
3381 BYTES_TO_T_UINT_8( 0xD7, 0x69, 0x9D, 0xBD, 0x5F, 0x33, 0xE9, 0xB4 ),
3382 BYTES_TO_T_UINT_8( 0x47, 0x19, 0x82, 0x3D, 0xAC, 0x1C, 0x40, 0x23 ),
3383 BYTES_TO_T_UINT_8( 0x40, 0xC7, 0x02, 0x46, 0x14, 0x77, 0x00, 0xBE ),
3384 BYTES_TO_T_UINT_8( 0xC9, 0x05, 0xF2, 0x77, 0x3A, 0x66, 0x5C, 0x39 ),
3385};
3386static const mbedtls_mpi_uint brainpoolP384r1_T_8_Y[] = {
3387 BYTES_TO_T_UINT_8( 0x1E, 0xE6, 0x17, 0xDE, 0xB2, 0xA1, 0xE5, 0xB8 ),
3388 BYTES_TO_T_UINT_8( 0xC7, 0x71, 0xEC, 0x9D, 0xD8, 0xF5, 0xD4, 0x66 ),
3389 BYTES_TO_T_UINT_8( 0xAA, 0xC6, 0x42, 0x5E, 0xE7, 0x18, 0xBA, 0xD0 ),
3390 BYTES_TO_T_UINT_8( 0xC5, 0x21, 0x68, 0x5A, 0x26, 0xFB, 0xD7, 0x17 ),
3391 BYTES_TO_T_UINT_8( 0x26, 0x00, 0x5C, 0xBA, 0x8A, 0x34, 0xEC, 0x75 ),
3392 BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x3C, 0xAF, 0x53, 0xE8, 0x65, 0x35 ),
3393};
3394static const mbedtls_mpi_uint brainpoolP384r1_T_9_X[] = {
3395 BYTES_TO_T_UINT_8( 0xBE, 0xEF, 0x28, 0xDC, 0x67, 0x05, 0xC8, 0xDF ),
3396 BYTES_TO_T_UINT_8( 0x0B, 0x78, 0xC3, 0x85, 0x49, 0xA0, 0xBC, 0x0F ),
3397 BYTES_TO_T_UINT_8( 0x10, 0x3E, 0x2D, 0xA0, 0xCF, 0xD4, 0x7A, 0xF5 ),
3398 BYTES_TO_T_UINT_8( 0x36, 0x93, 0xFE, 0x60, 0xB3, 0x6E, 0x99, 0xE2 ),
3399 BYTES_TO_T_UINT_8( 0x62, 0xAD, 0x04, 0xE7, 0x49, 0xAF, 0x5E, 0xE3 ),
3400 BYTES_TO_T_UINT_8( 0x54, 0x7A, 0xED, 0xA6, 0x9E, 0x18, 0x09, 0x31 ),
3401};
3402static const mbedtls_mpi_uint brainpoolP384r1_T_9_Y[] = {
3403 BYTES_TO_T_UINT_8( 0xE8, 0x05, 0x94, 0x44, 0xDC, 0xB8, 0x85, 0x94 ),
3404 BYTES_TO_T_UINT_8( 0x14, 0xB7, 0x37, 0xC2, 0x50, 0x75, 0x15, 0xDA ),
3405 BYTES_TO_T_UINT_8( 0xD6, 0xC6, 0x0F, 0xB2, 0xA9, 0x91, 0x3E, 0xE8 ),
3406 BYTES_TO_T_UINT_8( 0xB9, 0x81, 0xAD, 0x25, 0xA1, 0x26, 0x73, 0x15 ),
3407 BYTES_TO_T_UINT_8( 0xFD, 0xF1, 0xD1, 0x61, 0x7C, 0x76, 0x8F, 0x13 ),
3408 BYTES_TO_T_UINT_8( 0x06, 0xDB, 0x4A, 0xFF, 0x14, 0xA7, 0x48, 0x0B ),
3409};
3410static const mbedtls_mpi_uint brainpoolP384r1_T_10_X[] = {
3411 BYTES_TO_T_UINT_8( 0x2A, 0x73, 0xC6, 0xC2, 0xCC, 0xF1, 0x57, 0x04 ),
3412 BYTES_TO_T_UINT_8( 0xB6, 0xED, 0x73, 0x27, 0x70, 0x82, 0xB6, 0x5E ),
3413 BYTES_TO_T_UINT_8( 0x0B, 0xBA, 0xAC, 0x3A, 0xCF, 0xF4, 0xEA, 0xA6 ),
3414 BYTES_TO_T_UINT_8( 0x99, 0xD6, 0xB1, 0x8F, 0x0E, 0x08, 0x2C, 0x5E ),
3415 BYTES_TO_T_UINT_8( 0x17, 0xE3, 0x8F, 0x2F, 0x0E, 0xA1, 0xF3, 0x07 ),
3416 BYTES_TO_T_UINT_8( 0x1A, 0xF5, 0x7C, 0x9B, 0x29, 0x0A, 0xF6, 0x28 ),
3417};
3418static const mbedtls_mpi_uint brainpoolP384r1_T_10_Y[] = {
3419 BYTES_TO_T_UINT_8( 0xBD, 0xEE, 0x17, 0x47, 0x34, 0x15, 0xA3, 0xAF ),
3420 BYTES_TO_T_UINT_8( 0xFB, 0xBE, 0x88, 0x48, 0xE7, 0xA2, 0xBB, 0xDE ),
3421 BYTES_TO_T_UINT_8( 0xC5, 0xAD, 0xDC, 0x65, 0x61, 0x37, 0x0F, 0xC1 ),
3422 BYTES_TO_T_UINT_8( 0xFA, 0x67, 0xAD, 0xA2, 0x3A, 0x1C, 0x91, 0x78 ),
3423 BYTES_TO_T_UINT_8( 0x55, 0x07, 0x0C, 0x3A, 0x41, 0x6E, 0x13, 0x28 ),
3424 BYTES_TO_T_UINT_8( 0x73, 0xBD, 0x7E, 0xED, 0xAA, 0x14, 0xDD, 0x61 ),
3425};
3426static const mbedtls_mpi_uint brainpoolP384r1_T_11_X[] = {
3427 BYTES_TO_T_UINT_8( 0xC3, 0xDC, 0x20, 0x01, 0x72, 0x11, 0x48, 0x55 ),
3428 BYTES_TO_T_UINT_8( 0x1E, 0xC4, 0x7B, 0xF8, 0x62, 0x3D, 0xF0, 0x9F ),
3429 BYTES_TO_T_UINT_8( 0xE8, 0xC2, 0x3D, 0x2E, 0x52, 0xA3, 0x4A, 0x89 ),
3430 BYTES_TO_T_UINT_8( 0xCE, 0xE2, 0x53, 0x46, 0x5E, 0x21, 0xF8, 0xCE ),
3431 BYTES_TO_T_UINT_8( 0xC2, 0xC7, 0x8F, 0xA9, 0x26, 0x42, 0x32, 0x3A ),
3432 BYTES_TO_T_UINT_8( 0xFB, 0xA6, 0xA0, 0x8D, 0x4B, 0x9A, 0x19, 0x03 ),
3433};
3434static const mbedtls_mpi_uint brainpoolP384r1_T_11_Y[] = {
3435 BYTES_TO_T_UINT_8( 0xEA, 0xAB, 0x6D, 0x1E, 0xFB, 0xEE, 0x60, 0x0C ),
3436 BYTES_TO_T_UINT_8( 0xB6, 0x56, 0x3C, 0xC5, 0x5D, 0x10, 0x79, 0x1C ),
3437 BYTES_TO_T_UINT_8( 0x25, 0xBC, 0x41, 0x9F, 0x71, 0xEF, 0x02, 0xF9 ),
3438 BYTES_TO_T_UINT_8( 0xA2, 0x36, 0xC4, 0xD0, 0x88, 0x9B, 0x32, 0xFC ),
3439 BYTES_TO_T_UINT_8( 0x9C, 0xD4, 0x5D, 0x17, 0x39, 0xE6, 0x22, 0x2C ),
3440 BYTES_TO_T_UINT_8( 0x7B, 0x26, 0x01, 0xCE, 0xBE, 0x4A, 0x9C, 0x27 ),
3441};
3442static const mbedtls_mpi_uint brainpoolP384r1_T_12_X[] = {
3443 BYTES_TO_T_UINT_8( 0xEF, 0x6D, 0x11, 0xCA, 0x6C, 0x5A, 0x93, 0x0C ),
3444 BYTES_TO_T_UINT_8( 0xEB, 0x96, 0x26, 0xAF, 0x2F, 0xE4, 0x30, 0x98 ),
3445 BYTES_TO_T_UINT_8( 0x35, 0xC1, 0x4C, 0xC6, 0x30, 0x1F, 0x5C, 0x04 ),
3446 BYTES_TO_T_UINT_8( 0x59, 0xB3, 0xE8, 0xFC, 0x35, 0xEB, 0x63, 0x6C ),
3447 BYTES_TO_T_UINT_8( 0x9C, 0x1D, 0xCA, 0xFC, 0x50, 0x36, 0x4B, 0x96 ),
3448 BYTES_TO_T_UINT_8( 0xE4, 0x0E, 0x23, 0x5B, 0xAF, 0xEB, 0x2D, 0x31 ),
3449};
3450static const mbedtls_mpi_uint brainpoolP384r1_T_12_Y[] = {
3451 BYTES_TO_T_UINT_8( 0xC6, 0x88, 0xB6, 0xD7, 0x74, 0x4A, 0x23, 0xB6 ),
3452 BYTES_TO_T_UINT_8( 0xEF, 0x66, 0xE2, 0xBB, 0x29, 0xA6, 0x4F, 0x55 ),
3453 BYTES_TO_T_UINT_8( 0xE9, 0x6F, 0x7E, 0x68, 0x6E, 0xA0, 0x14, 0x94 ),
3454 BYTES_TO_T_UINT_8( 0x3B, 0x73, 0xD4, 0xE8, 0xAB, 0x5B, 0xF6, 0x0D ),
3455 BYTES_TO_T_UINT_8( 0x46, 0xE0, 0x3C, 0x24, 0x00, 0x95, 0xE9, 0xAD ),
3456 BYTES_TO_T_UINT_8( 0x37, 0x0D, 0x4F, 0x81, 0xD0, 0xF2, 0x3F, 0x00 ),
3457};
3458static const mbedtls_mpi_uint brainpoolP384r1_T_13_X[] = {
3459 BYTES_TO_T_UINT_8( 0x99, 0x1D, 0xCD, 0x78, 0x39, 0xC4, 0x6B, 0xD9 ),
3460 BYTES_TO_T_UINT_8( 0x81, 0x45, 0xC7, 0xB8, 0x2F, 0xAA, 0x5D, 0xE3 ),
3461 BYTES_TO_T_UINT_8( 0x33, 0x8C, 0x6E, 0xA3, 0x24, 0xB2, 0xDB, 0x4B ),
3462 BYTES_TO_T_UINT_8( 0x69, 0x2D, 0xD9, 0xF1, 0xC7, 0x9B, 0x8A, 0xAF ),
3463 BYTES_TO_T_UINT_8( 0x67, 0xE1, 0x2C, 0xB9, 0x40, 0x37, 0x91, 0x75 ),
3464 BYTES_TO_T_UINT_8( 0x81, 0x2C, 0xB5, 0x23, 0x03, 0x2B, 0xAF, 0x2F ),
3465};
3466static const mbedtls_mpi_uint brainpoolP384r1_T_13_Y[] = {
3467 BYTES_TO_T_UINT_8( 0x2F, 0x9D, 0x5A, 0x20, 0x10, 0xA9, 0x84, 0xDA ),
3468 BYTES_TO_T_UINT_8( 0x61, 0x30, 0x89, 0x20, 0x13, 0xE9, 0xB2, 0xCA ),
3469 BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x52, 0xEB, 0x03, 0x18, 0x1F, 0xA6 ),
3470 BYTES_TO_T_UINT_8( 0x6C, 0x9E, 0x1C, 0x35, 0x87, 0x92, 0x69, 0xC7 ),
3471 BYTES_TO_T_UINT_8( 0xA1, 0xC9, 0x88, 0xAF, 0xC6, 0x6C, 0x83, 0x72 ),
3472 BYTES_TO_T_UINT_8( 0xCB, 0xD5, 0x7A, 0x54, 0x34, 0x99, 0xB6, 0x6F ),
3473};
3474static const mbedtls_mpi_uint brainpoolP384r1_T_14_X[] = {
3475 BYTES_TO_T_UINT_8( 0xDF, 0xAD, 0x45, 0x9B, 0x4B, 0x41, 0x4D, 0x50 ),
3476 BYTES_TO_T_UINT_8( 0x1B, 0x5D, 0xAB, 0x7F, 0x35, 0x34, 0xE9, 0x29 ),
3477 BYTES_TO_T_UINT_8( 0x73, 0xBE, 0x78, 0x34, 0x44, 0xF3, 0x4A, 0x87 ),
3478 BYTES_TO_T_UINT_8( 0xFB, 0xDE, 0xE3, 0xC4, 0xEE, 0x0B, 0xF9, 0xEB ),
3479 BYTES_TO_T_UINT_8( 0x5E, 0x86, 0x16, 0x48, 0x32, 0xB8, 0x74, 0x41 ),
3480 BYTES_TO_T_UINT_8( 0xF2, 0xEE, 0x7C, 0xBA, 0xBD, 0x81, 0xE3, 0x55 ),
3481};
3482static const mbedtls_mpi_uint brainpoolP384r1_T_14_Y[] = {
3483 BYTES_TO_T_UINT_8( 0xF8, 0x6A, 0xFA, 0x84, 0xDA, 0xB8, 0xD5, 0x14 ),
3484 BYTES_TO_T_UINT_8( 0xB2, 0x9F, 0x8A, 0xD5, 0x1B, 0x2E, 0x1A, 0x0B ),
3485 BYTES_TO_T_UINT_8( 0x5F, 0x0C, 0x61, 0xE2, 0xFF, 0x5B, 0xE6, 0xD5 ),
3486 BYTES_TO_T_UINT_8( 0x0E, 0x62, 0xC1, 0x87, 0x53, 0x1B, 0x92, 0xA3 ),
3487 BYTES_TO_T_UINT_8( 0x54, 0x90, 0x00, 0xD1, 0x6A, 0x0C, 0x0E, 0x28 ),
3488 BYTES_TO_T_UINT_8( 0x8B, 0x2E, 0xB5, 0x3B, 0x44, 0xB5, 0xA0, 0x78 ),
3489};
3490static const mbedtls_mpi_uint brainpoolP384r1_T_15_X[] = {
3491 BYTES_TO_T_UINT_8( 0xB8, 0x5D, 0x02, 0x58, 0xB5, 0xBE, 0x45, 0x14 ),
3492 BYTES_TO_T_UINT_8( 0xAD, 0xEF, 0x8E, 0x90, 0x4D, 0x2A, 0x32, 0xAC ),
3493 BYTES_TO_T_UINT_8( 0x48, 0x99, 0x75, 0x5C, 0x0A, 0x33, 0x8F, 0x36 ),
3494 BYTES_TO_T_UINT_8( 0xC8, 0x6C, 0x95, 0xD4, 0x1F, 0xF3, 0xEB, 0xDA ),
3495 BYTES_TO_T_UINT_8( 0xC2, 0xE4, 0x4C, 0x91, 0x20, 0xF3, 0x25, 0xEB ),
3496 BYTES_TO_T_UINT_8( 0xF1, 0x95, 0xEB, 0x29, 0x6F, 0x20, 0x34, 0x81 ),
3497};
3498static const mbedtls_mpi_uint brainpoolP384r1_T_15_Y[] = {
3499 BYTES_TO_T_UINT_8( 0x2D, 0x15, 0xE5, 0x13, 0x7E, 0x64, 0x8B, 0xAD ),
3500 BYTES_TO_T_UINT_8( 0xA7, 0xBC, 0x0D, 0x18, 0x7E, 0x37, 0x9E, 0xFA ),
3501 BYTES_TO_T_UINT_8( 0xE8, 0x82, 0x20, 0xF7, 0x2D, 0x7A, 0x77, 0x52 ),
3502 BYTES_TO_T_UINT_8( 0xCB, 0x29, 0xA2, 0xDB, 0x7A, 0xE6, 0x6F, 0xA5 ),
3503 BYTES_TO_T_UINT_8( 0xA0, 0xC6, 0x50, 0x5C, 0xBC, 0xE6, 0x4F, 0xBD ),
3504 BYTES_TO_T_UINT_8( 0x1E, 0x9F, 0xD5, 0xE8, 0xC5, 0x3D, 0xB7, 0x30 ),
3505};
3506static const mbedtls_mpi_uint brainpoolP384r1_T_16_X[] = {
3507 BYTES_TO_T_UINT_8( 0x45, 0x03, 0x55, 0x10, 0xDB, 0xA6, 0x8B, 0x22 ),
3508 BYTES_TO_T_UINT_8( 0x4E, 0x17, 0xAE, 0x78, 0xC9, 0x1D, 0x43, 0xCA ),
3509 BYTES_TO_T_UINT_8( 0x4E, 0x35, 0x49, 0xD4, 0x47, 0x84, 0x8D, 0x20 ),
3510 BYTES_TO_T_UINT_8( 0xF3, 0x95, 0x2F, 0xEA, 0xBC, 0xB4, 0x18, 0xB3 ),
3511 BYTES_TO_T_UINT_8( 0xD4, 0x48, 0xAE, 0x89, 0xF5, 0x65, 0x3D, 0x89 ),
3512 BYTES_TO_T_UINT_8( 0x86, 0xF2, 0x2B, 0x20, 0xD1, 0x75, 0x50, 0x63 ),
3513};
3514static const mbedtls_mpi_uint brainpoolP384r1_T_16_Y[] = {
3515 BYTES_TO_T_UINT_8( 0xAD, 0xE6, 0x5C, 0x2C, 0xE0, 0x7D, 0xDF, 0x2D ),
3516 BYTES_TO_T_UINT_8( 0x3E, 0x07, 0x3E, 0xCE, 0x9F, 0x18, 0xB6, 0x05 ),
3517 BYTES_TO_T_UINT_8( 0x9A, 0xF8, 0xF0, 0xD5, 0xFA, 0x42, 0x1D, 0x6D ),
3518 BYTES_TO_T_UINT_8( 0x41, 0x6C, 0x1D, 0x03, 0xC9, 0x0E, 0x2B, 0x2F ),
3519 BYTES_TO_T_UINT_8( 0x43, 0x18, 0x52, 0xA5, 0xB4, 0x63, 0xE1, 0x06 ),
3520 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0xD9, 0xC4, 0xFD, 0x16, 0x60, 0x54 ),
3521};
3522static const mbedtls_mpi_uint brainpoolP384r1_T_17_X[] = {
3523 BYTES_TO_T_UINT_8( 0x43, 0x7D, 0xDE, 0xDF, 0x4B, 0x4A, 0xB0, 0xCB ),
3524 BYTES_TO_T_UINT_8( 0xB0, 0x4E, 0x8C, 0x94, 0xC1, 0xE2, 0x85, 0xDF ),
3525 BYTES_TO_T_UINT_8( 0x4F, 0xF0, 0xEA, 0xB5, 0x9B, 0x70, 0xEF, 0x10 ),
3526 BYTES_TO_T_UINT_8( 0x56, 0xC2, 0x39, 0x5D, 0xF3, 0x2C, 0xD9, 0x2C ),
3527 BYTES_TO_T_UINT_8( 0x0D, 0x1C, 0x2E, 0xCC, 0x2F, 0x54, 0x87, 0x80 ),
3528 BYTES_TO_T_UINT_8( 0xB0, 0x72, 0xC7, 0xB5, 0x50, 0xA3, 0x84, 0x77 ),
3529};
3530static const mbedtls_mpi_uint brainpoolP384r1_T_17_Y[] = {
3531 BYTES_TO_T_UINT_8( 0xB7, 0xD1, 0xAF, 0xA9, 0xB4, 0x8B, 0x5D, 0xFA ),
3532 BYTES_TO_T_UINT_8( 0xC8, 0xF6, 0x52, 0x8A, 0xC3, 0x56, 0xA5, 0x5E ),
3533 BYTES_TO_T_UINT_8( 0x3B, 0x52, 0xFF, 0xEA, 0x05, 0x42, 0x77, 0x83 ),
3534 BYTES_TO_T_UINT_8( 0x29, 0x08, 0x90, 0x72, 0x86, 0xC4, 0xC3, 0xB8 ),
3535 BYTES_TO_T_UINT_8( 0x4D, 0x15, 0xF8, 0xF1, 0x16, 0x67, 0xC6, 0xD5 ),
3536 BYTES_TO_T_UINT_8( 0x75, 0x87, 0xAC, 0x8F, 0x71, 0xEC, 0x83, 0x81 ),
3537};
3538static const mbedtls_mpi_uint brainpoolP384r1_T_18_X[] = {
3539 BYTES_TO_T_UINT_8( 0x91, 0xE1, 0xE6, 0x2D, 0x0E, 0x11, 0xA1, 0x62 ),
3540 BYTES_TO_T_UINT_8( 0x74, 0xE2, 0xA8, 0x32, 0xE6, 0xE3, 0x83, 0xD1 ),
3541 BYTES_TO_T_UINT_8( 0x50, 0x56, 0xE5, 0xCD, 0xB7, 0x2B, 0x67, 0x6F ),
3542 BYTES_TO_T_UINT_8( 0xE5, 0xED, 0xC9, 0x65, 0x6D, 0x87, 0xE1, 0x8E ),
3543 BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xFD, 0x9A, 0x53, 0x0E, 0xFA, 0xA3 ),
3544 BYTES_TO_T_UINT_8( 0x49, 0x4C, 0x4A, 0xE2, 0x23, 0x84, 0xFA, 0x01 ),
3545};
3546static const mbedtls_mpi_uint brainpoolP384r1_T_18_Y[] = {
3547 BYTES_TO_T_UINT_8( 0xB4, 0xFE, 0x49, 0x81, 0xD1, 0x3E, 0xF4, 0x7C ),
3548 BYTES_TO_T_UINT_8( 0x45, 0x72, 0xE0, 0xEF, 0x0D, 0xB8, 0x3E, 0x6F ),
3549 BYTES_TO_T_UINT_8( 0x3C, 0x00, 0x0F, 0x5F, 0xCE, 0x60, 0x72, 0x2C ),
3550 BYTES_TO_T_UINT_8( 0xB7, 0xCC, 0xD8, 0x03, 0x07, 0x6E, 0x5A, 0xCD ),
3551 BYTES_TO_T_UINT_8( 0x27, 0x3A, 0x35, 0x50, 0x4E, 0x1F, 0xCA, 0x5F ),
3552 BYTES_TO_T_UINT_8( 0x58, 0xEA, 0x88, 0x55, 0xBD, 0x6E, 0x05, 0x7F ),
3553};
3554static const mbedtls_mpi_uint brainpoolP384r1_T_19_X[] = {
3555 BYTES_TO_T_UINT_8( 0xB1, 0x6D, 0xF1, 0x97, 0xA6, 0x69, 0x39, 0x24 ),
3556 BYTES_TO_T_UINT_8( 0x0B, 0x41, 0x99, 0xFF, 0x3B, 0xA1, 0x26, 0xEC ),
3557 BYTES_TO_T_UINT_8( 0x95, 0x2F, 0x95, 0x80, 0x12, 0x4A, 0x1B, 0xCB ),
3558 BYTES_TO_T_UINT_8( 0xEA, 0xBF, 0x51, 0xAA, 0xAE, 0x2D, 0xDA, 0xCF ),
3559 BYTES_TO_T_UINT_8( 0x0C, 0x1C, 0xB3, 0x52, 0x36, 0x49, 0xD4, 0x86 ),
3560 BYTES_TO_T_UINT_8( 0x99, 0xC1, 0x1F, 0x3A, 0xD3, 0x3E, 0x5C, 0x1A ),
3561};
3562static const mbedtls_mpi_uint brainpoolP384r1_T_19_Y[] = {
3563 BYTES_TO_T_UINT_8( 0x73, 0x51, 0xF7, 0x2B, 0xC8, 0xA9, 0xA7, 0x15 ),
3564 BYTES_TO_T_UINT_8( 0x12, 0x4E, 0x7F, 0x98, 0x41, 0x66, 0xB0, 0x03 ),
3565 BYTES_TO_T_UINT_8( 0x91, 0x1D, 0xC0, 0x42, 0xCD, 0xF8, 0xC3, 0x2B ),
3566 BYTES_TO_T_UINT_8( 0xCC, 0x41, 0x91, 0x7D, 0xCC, 0x8B, 0xCC, 0x41 ),
3567 BYTES_TO_T_UINT_8( 0x2A, 0xAE, 0x76, 0xED, 0x56, 0x18, 0xC5, 0xAB ),
3568 BYTES_TO_T_UINT_8( 0xAB, 0x6A, 0x06, 0xA3, 0x7F, 0x65, 0x10, 0x1F ),
3569};
3570static const mbedtls_mpi_uint brainpoolP384r1_T_20_X[] = {
3571 BYTES_TO_T_UINT_8( 0x0C, 0xEC, 0x3C, 0x05, 0x05, 0xCA, 0xF6, 0xED ),
3572 BYTES_TO_T_UINT_8( 0x48, 0xCD, 0x02, 0x51, 0x12, 0x16, 0x3C, 0x63 ),
3573 BYTES_TO_T_UINT_8( 0xA8, 0xEB, 0xB3, 0x43, 0x7B, 0xDD, 0xB2, 0x7C ),
3574 BYTES_TO_T_UINT_8( 0x00, 0x59, 0x90, 0x41, 0xDB, 0xE4, 0xF5, 0x91 ),
3575 BYTES_TO_T_UINT_8( 0xD0, 0x0E, 0x18, 0x2A, 0x5A, 0x83, 0x7C, 0x2F ),
3576 BYTES_TO_T_UINT_8( 0xE1, 0x37, 0xA1, 0x0D, 0xF1, 0x2F, 0x63, 0x79 ),
3577};
3578static const mbedtls_mpi_uint brainpoolP384r1_T_20_Y[] = {
3579 BYTES_TO_T_UINT_8( 0x21, 0xC0, 0xFA, 0x6F, 0x1F, 0x67, 0xCF, 0xEC ),
3580 BYTES_TO_T_UINT_8( 0x98, 0x34, 0x45, 0xBB, 0xF4, 0xF9, 0x9B, 0x89 ),
3581 BYTES_TO_T_UINT_8( 0xF5, 0x69, 0xFE, 0x67, 0x1D, 0x64, 0x8F, 0xB9 ),
3582 BYTES_TO_T_UINT_8( 0xDB, 0x39, 0xBF, 0xD8, 0xB3, 0xC7, 0xAD, 0x8A ),
3583 BYTES_TO_T_UINT_8( 0x8C, 0x93, 0xFF, 0xF3, 0x28, 0xFA, 0x39, 0xF6 ),
3584 BYTES_TO_T_UINT_8( 0xFA, 0xF9, 0xC3, 0x85, 0x26, 0x7A, 0x88, 0x89 ),
3585};
3586static const mbedtls_mpi_uint brainpoolP384r1_T_21_X[] = {
3587 BYTES_TO_T_UINT_8( 0x4D, 0xD5, 0x79, 0xD8, 0x11, 0xDE, 0xEB, 0x4E ),
3588 BYTES_TO_T_UINT_8( 0x1C, 0x46, 0xA4, 0x6A, 0xDA, 0x74, 0x34, 0xA8 ),
3589 BYTES_TO_T_UINT_8( 0x1E, 0xBD, 0xD3, 0xF5, 0x14, 0xEE, 0xFE, 0xAE ),
3590 BYTES_TO_T_UINT_8( 0x19, 0x4C, 0xA3, 0x71, 0x43, 0x65, 0xF8, 0x94 ),
3591 BYTES_TO_T_UINT_8( 0x72, 0x6C, 0x35, 0xFA, 0x90, 0x25, 0xD8, 0xE2 ),
3592 BYTES_TO_T_UINT_8( 0xBB, 0x34, 0x84, 0x96, 0xA1, 0x43, 0x03, 0x4D ),
3593};
3594static const mbedtls_mpi_uint brainpoolP384r1_T_21_Y[] = {
3595 BYTES_TO_T_UINT_8( 0xF1, 0x3B, 0x3B, 0x2F, 0xCA, 0x59, 0xF2, 0x42 ),
3596 BYTES_TO_T_UINT_8( 0xCD, 0x48, 0x24, 0x74, 0xD8, 0x72, 0x90, 0xA3 ),
3597 BYTES_TO_T_UINT_8( 0x83, 0x42, 0x74, 0x8C, 0x6F, 0x52, 0x19, 0x3D ),
3598 BYTES_TO_T_UINT_8( 0x40, 0x9E, 0x41, 0x63, 0x68, 0x78, 0x4C, 0x2F ),
3599 BYTES_TO_T_UINT_8( 0x53, 0x94, 0xB6, 0x6B, 0x38, 0x52, 0xA8, 0x9F ),
3600 BYTES_TO_T_UINT_8( 0x81, 0x30, 0x25, 0x93, 0xA1, 0x6F, 0x6E, 0x68 ),
3601};
3602static const mbedtls_mpi_uint brainpoolP384r1_T_22_X[] = {
3603 BYTES_TO_T_UINT_8( 0xFC, 0x2F, 0x4B, 0x64, 0x79, 0x50, 0xFF, 0x01 ),
3604 BYTES_TO_T_UINT_8( 0xD4, 0x36, 0xED, 0x57, 0x39, 0x3B, 0xE7, 0xF3 ),
3605 BYTES_TO_T_UINT_8( 0xF1, 0x85, 0xEA, 0x35, 0xD6, 0xC0, 0xA0, 0x52 ),
3606 BYTES_TO_T_UINT_8( 0xBA, 0x89, 0x3A, 0xCC, 0x22, 0x1C, 0x46, 0x02 ),
3607 BYTES_TO_T_UINT_8( 0x6C, 0x7A, 0xB0, 0xA1, 0x1B, 0x69, 0x62, 0x55 ),
3608 BYTES_TO_T_UINT_8( 0x57, 0xB8, 0x8A, 0x6C, 0x18, 0x85, 0x0D, 0x88 ),
3609};
3610static const mbedtls_mpi_uint brainpoolP384r1_T_22_Y[] = {
3611 BYTES_TO_T_UINT_8( 0xFD, 0xB6, 0x50, 0xE9, 0x4E, 0x7F, 0xE8, 0x07 ),
3612 BYTES_TO_T_UINT_8( 0x92, 0x5B, 0x5C, 0xD1, 0x4B, 0x11, 0x9A, 0xD8 ),
3613 BYTES_TO_T_UINT_8( 0x96, 0x25, 0x56, 0x74, 0x51, 0x9C, 0xEC, 0x9C ),
3614 BYTES_TO_T_UINT_8( 0x55, 0x7F, 0xB6, 0x8A, 0xCB, 0x3A, 0x10, 0x6A ),
3615 BYTES_TO_T_UINT_8( 0x60, 0x33, 0x07, 0x01, 0xE9, 0x49, 0x59, 0xE6 ),
3616 BYTES_TO_T_UINT_8( 0xC6, 0xA5, 0x2E, 0xF2, 0xBA, 0x32, 0x63, 0x44 ),
3617};
3618static const mbedtls_mpi_uint brainpoolP384r1_T_23_X[] = {
3619 BYTES_TO_T_UINT_8( 0xF8, 0x06, 0x0B, 0xA5, 0x44, 0x27, 0x7F, 0x22 ),
3620 BYTES_TO_T_UINT_8( 0x30, 0x74, 0xAC, 0x0F, 0xCC, 0x4F, 0x13, 0x61 ),
3621 BYTES_TO_T_UINT_8( 0xFD, 0xB1, 0xBF, 0x97, 0x49, 0xA5, 0x1C, 0x1D ),
3622 BYTES_TO_T_UINT_8( 0x8A, 0x64, 0x68, 0x7B, 0x0F, 0xCC, 0x77, 0xF8 ),
3623 BYTES_TO_T_UINT_8( 0xBB, 0x39, 0xF9, 0x4E, 0x84, 0x9C, 0xF6, 0x96 ),
3624 BYTES_TO_T_UINT_8( 0xBC, 0xCF, 0x6D, 0xE2, 0xA1, 0x2D, 0xF9, 0x2B ),
3625};
3626static const mbedtls_mpi_uint brainpoolP384r1_T_23_Y[] = {
3627 BYTES_TO_T_UINT_8( 0x95, 0xC4, 0x90, 0x57, 0x31, 0x01, 0x05, 0x5E ),
3628 BYTES_TO_T_UINT_8( 0xCC, 0x1E, 0xBB, 0xBF, 0x98, 0xA4, 0x7C, 0xE3 ),
3629 BYTES_TO_T_UINT_8( 0x89, 0xE3, 0xA0, 0xB2, 0xCD, 0x39, 0x9A, 0x3F ),
3630 BYTES_TO_T_UINT_8( 0x92, 0x34, 0x60, 0x7A, 0x89, 0x98, 0xB5, 0x52 ),
3631 BYTES_TO_T_UINT_8( 0x8D, 0x20, 0x3D, 0x3A, 0x04, 0x8F, 0x5A, 0xAC ),
3632 BYTES_TO_T_UINT_8( 0xA3, 0x26, 0xB6, 0x49, 0x09, 0x9C, 0x0F, 0x59 ),
3633};
3634static const mbedtls_mpi_uint brainpoolP384r1_T_24_X[] = {
3635 BYTES_TO_T_UINT_8( 0x72, 0x66, 0xD2, 0x38, 0x2A, 0x62, 0x81, 0xCA ),
3636 BYTES_TO_T_UINT_8( 0xC5, 0xC8, 0x20, 0x5E, 0x28, 0xA3, 0x81, 0xA7 ),
3637 BYTES_TO_T_UINT_8( 0x20, 0x31, 0xA4, 0xF1, 0xEA, 0x7D, 0x87, 0x45 ),
3638 BYTES_TO_T_UINT_8( 0x8F, 0x2C, 0x99, 0x09, 0x6F, 0x63, 0xEB, 0x2F ),
3639 BYTES_TO_T_UINT_8( 0x73, 0x76, 0xDA, 0x1A, 0x06, 0xBE, 0xDE, 0xA2 ),
3640 BYTES_TO_T_UINT_8( 0x29, 0x09, 0x2E, 0x75, 0x39, 0x30, 0x2D, 0x42 ),
3641};
3642static const mbedtls_mpi_uint brainpoolP384r1_T_24_Y[] = {
3643 BYTES_TO_T_UINT_8( 0x41, 0x9B, 0xC1, 0x5A, 0x17, 0xC3, 0x8C, 0x31 ),
3644 BYTES_TO_T_UINT_8( 0x58, 0x8D, 0x94, 0x4D, 0x3D, 0xAB, 0x60, 0xD4 ),
3645 BYTES_TO_T_UINT_8( 0xFF, 0xFD, 0x1E, 0x0F, 0x43, 0xAE, 0x9D, 0x62 ),
3646 BYTES_TO_T_UINT_8( 0x8E, 0xF2, 0xF3, 0x20, 0x1B, 0xAA, 0xB7, 0x41 ),
3647 BYTES_TO_T_UINT_8( 0x9D, 0x5B, 0xA4, 0xF4, 0x90, 0x3B, 0xE3, 0x71 ),
3648 BYTES_TO_T_UINT_8( 0xF7, 0x78, 0x72, 0xBD, 0x65, 0x09, 0x0B, 0x01 ),
3649};
3650static const mbedtls_mpi_uint brainpoolP384r1_T_25_X[] = {
3651 BYTES_TO_T_UINT_8( 0xCA, 0x37, 0x2A, 0x6C, 0x16, 0x4F, 0x64, 0x59 ),
3652 BYTES_TO_T_UINT_8( 0x5A, 0xCE, 0xA3, 0x90, 0xB4, 0x9A, 0xBC, 0xF7 ),
3653 BYTES_TO_T_UINT_8( 0x27, 0x38, 0x55, 0x63, 0x1D, 0x3A, 0x6E, 0x18 ),
3654 BYTES_TO_T_UINT_8( 0x37, 0xB4, 0xAA, 0x99, 0x22, 0x45, 0x89, 0x2C ),
3655 BYTES_TO_T_UINT_8( 0xB7, 0x7C, 0x8C, 0xA6, 0x3D, 0xA7, 0x3E, 0xE8 ),
3656 BYTES_TO_T_UINT_8( 0x70, 0x06, 0x42, 0xDC, 0xA6, 0xE3, 0xC6, 0x12 ),
3657};
3658static const mbedtls_mpi_uint brainpoolP384r1_T_25_Y[] = {
3659 BYTES_TO_T_UINT_8( 0x55, 0x8C, 0x3D, 0x5D, 0x47, 0x31, 0x7C, 0xEB ),
3660 BYTES_TO_T_UINT_8( 0x46, 0x85, 0xEE, 0x46, 0x7E, 0x13, 0x04, 0x41 ),
3661 BYTES_TO_T_UINT_8( 0x9E, 0x3C, 0x8B, 0x43, 0x2E, 0x74, 0xF5, 0xF6 ),
3662 BYTES_TO_T_UINT_8( 0xBA, 0x88, 0x8E, 0x07, 0x29, 0x08, 0x03, 0x26 ),
3663 BYTES_TO_T_UINT_8( 0xEA, 0x9B, 0x89, 0xEB, 0x08, 0xE8, 0x43, 0xB5 ),
3664 BYTES_TO_T_UINT_8( 0x17, 0x07, 0x67, 0xFD, 0xD9, 0x73, 0x6F, 0x18 ),
3665};
3666static const mbedtls_mpi_uint brainpoolP384r1_T_26_X[] = {
3667 BYTES_TO_T_UINT_8( 0x29, 0xEB, 0x21, 0x8D, 0x98, 0x43, 0x74, 0x98 ),
3668 BYTES_TO_T_UINT_8( 0x88, 0xCC, 0x14, 0xD8, 0x08, 0xBB, 0xA6, 0xE3 ),
3669 BYTES_TO_T_UINT_8( 0xC4, 0x98, 0xF2, 0x6A, 0x18, 0xC3, 0xDD, 0x9E ),
3670 BYTES_TO_T_UINT_8( 0xC7, 0x38, 0x91, 0xA0, 0x03, 0xF2, 0x04, 0x62 ),
3671 BYTES_TO_T_UINT_8( 0x7A, 0xAF, 0xE8, 0xFD, 0xFB, 0x13, 0x70, 0x74 ),
3672 BYTES_TO_T_UINT_8( 0xD0, 0x93, 0x87, 0x98, 0x4A, 0xE0, 0x00, 0x12 ),
3673};
3674static const mbedtls_mpi_uint brainpoolP384r1_T_26_Y[] = {
3675 BYTES_TO_T_UINT_8( 0x97, 0x2E, 0x69, 0x9C, 0xA2, 0x2D, 0x03, 0x3F ),
3676 BYTES_TO_T_UINT_8( 0x79, 0xFE, 0xF3, 0xB9, 0xC1, 0x85, 0x2A, 0xEE ),
3677 BYTES_TO_T_UINT_8( 0xCE, 0xFD, 0x86, 0xB1, 0xCD, 0xBF, 0x41, 0xB7 ),
3678 BYTES_TO_T_UINT_8( 0xA0, 0xD8, 0x9A, 0x21, 0xF3, 0xFE, 0xCB, 0xF1 ),
3679 BYTES_TO_T_UINT_8( 0x95, 0x78, 0x04, 0x60, 0xB7, 0xA9, 0xA2, 0x84 ),
3680 BYTES_TO_T_UINT_8( 0xE8, 0x1E, 0x66, 0x2A, 0x54, 0x51, 0xBD, 0x8B ),
3681};
3682static const mbedtls_mpi_uint brainpoolP384r1_T_27_X[] = {
3683 BYTES_TO_T_UINT_8( 0x8E, 0x16, 0x36, 0xEF, 0x61, 0x2D, 0xEE, 0x3B ),
3684 BYTES_TO_T_UINT_8( 0x45, 0x5F, 0x88, 0xA0, 0x13, 0x12, 0xF7, 0x23 ),
3685 BYTES_TO_T_UINT_8( 0xA9, 0xC6, 0xAD, 0x4A, 0x4A, 0x07, 0x01, 0x5B ),
3686 BYTES_TO_T_UINT_8( 0xB8, 0x74, 0xB1, 0x4F, 0xEB, 0xBD, 0xD5, 0x6B ),
3687 BYTES_TO_T_UINT_8( 0x57, 0xF9, 0x71, 0xA2, 0x06, 0x4F, 0xD7, 0xBC ),
3688 BYTES_TO_T_UINT_8( 0xFF, 0x8B, 0x4D, 0x48, 0xE0, 0x98, 0xFB, 0x6A ),
3689};
3690static const mbedtls_mpi_uint brainpoolP384r1_T_27_Y[] = {
3691 BYTES_TO_T_UINT_8( 0xC4, 0xBA, 0x10, 0xA3, 0x0D, 0x52, 0xAC, 0x3A ),
3692 BYTES_TO_T_UINT_8( 0x11, 0xD0, 0xE0, 0x36, 0xE6, 0x07, 0x3A, 0x30 ),
3693 BYTES_TO_T_UINT_8( 0x7E, 0x80, 0xF0, 0xAA, 0x49, 0x22, 0x4B, 0xDD ),
3694 BYTES_TO_T_UINT_8( 0xFF, 0xC7, 0xAB, 0x1C, 0x89, 0xCD, 0x24, 0x40 ),
3695 BYTES_TO_T_UINT_8( 0x82, 0x2A, 0xFC, 0xB3, 0x6D, 0x45, 0x96, 0x49 ),
3696 BYTES_TO_T_UINT_8( 0x63, 0xE4, 0xDB, 0x52, 0x3F, 0xC4, 0xB4, 0x19 ),
3697};
3698static const mbedtls_mpi_uint brainpoolP384r1_T_28_X[] = {
3699 BYTES_TO_T_UINT_8( 0x5B, 0xCC, 0xC8, 0x7F, 0xBB, 0x6B, 0x87, 0x47 ),
3700 BYTES_TO_T_UINT_8( 0xC0, 0x21, 0x3C, 0x69, 0x7D, 0x38, 0x57, 0x50 ),
3701 BYTES_TO_T_UINT_8( 0x52, 0x4C, 0x18, 0x3C, 0x53, 0xA5, 0x48, 0x6D ),
3702 BYTES_TO_T_UINT_8( 0x21, 0xC3, 0x64, 0x45, 0xDB, 0xC4, 0x6D, 0x15 ),
3703 BYTES_TO_T_UINT_8( 0x49, 0xCC, 0xD1, 0xBB, 0x17, 0xB8, 0x34, 0x2D ),
3704 BYTES_TO_T_UINT_8( 0x6C, 0x69, 0x71, 0xFA, 0xA0, 0x28, 0x4A, 0x3D ),
3705};
3706static const mbedtls_mpi_uint brainpoolP384r1_T_28_Y[] = {
3707 BYTES_TO_T_UINT_8( 0xED, 0xE8, 0x9E, 0x39, 0xEA, 0x8D, 0x38, 0xDB ),
3708 BYTES_TO_T_UINT_8( 0xCC, 0x9C, 0xBB, 0xCD, 0x80, 0x1A, 0xEE, 0xB7 ),
3709 BYTES_TO_T_UINT_8( 0xBC, 0xA0, 0x45, 0xBF, 0xD9, 0x22, 0x11, 0x32 ),
3710 BYTES_TO_T_UINT_8( 0xDA, 0x7C, 0x5C, 0xD9, 0xC0, 0x9F, 0x69, 0xF5 ),
3711 BYTES_TO_T_UINT_8( 0xBC, 0x8A, 0xA6, 0x79, 0x4E, 0x35, 0xB9, 0xD5 ),
3712 BYTES_TO_T_UINT_8( 0xCC, 0x8B, 0x9A, 0x3E, 0xA1, 0xB8, 0x28, 0x10 ),
3713};
3714static const mbedtls_mpi_uint brainpoolP384r1_T_29_X[] = {
3715 BYTES_TO_T_UINT_8( 0x55, 0x2F, 0xEF, 0xBB, 0xA9, 0x72, 0x7F, 0xEA ),
3716 BYTES_TO_T_UINT_8( 0xB5, 0x34, 0xB7, 0x12, 0xB9, 0xE7, 0xC3, 0x2A ),
3717 BYTES_TO_T_UINT_8( 0xF8, 0x1D, 0xD9, 0x42, 0x77, 0x0C, 0x71, 0x6E ),
3718 BYTES_TO_T_UINT_8( 0xEC, 0x01, 0x59, 0xA7, 0x56, 0x03, 0x91, 0x8D ),
3719 BYTES_TO_T_UINT_8( 0x6C, 0x91, 0x99, 0x33, 0x30, 0x3E, 0xEF, 0x13 ),
3720 BYTES_TO_T_UINT_8( 0x87, 0xC9, 0x5A, 0x9A, 0x54, 0x66, 0xF1, 0x70 ),
3721};
3722static const mbedtls_mpi_uint brainpoolP384r1_T_29_Y[] = {
3723 BYTES_TO_T_UINT_8( 0x64, 0x2C, 0xB7, 0x6E, 0x71, 0x7D, 0x35, 0x30 ),
3724 BYTES_TO_T_UINT_8( 0x1A, 0x0D, 0xEF, 0xD1, 0x2D, 0x99, 0x63, 0x2F ),
3725 BYTES_TO_T_UINT_8( 0xE4, 0x31, 0xAF, 0x2D, 0xC9, 0xC6, 0xC2, 0xAE ),
3726 BYTES_TO_T_UINT_8( 0x19, 0xC0, 0xDF, 0x80, 0x54, 0xC4, 0xAC, 0xF3 ),
3727 BYTES_TO_T_UINT_8( 0xE3, 0x6B, 0xA0, 0x84, 0x96, 0xF7, 0x31, 0xC8 ),
3728 BYTES_TO_T_UINT_8( 0x93, 0xE2, 0x7C, 0x7A, 0x41, 0x45, 0x75, 0x6A ),
3729};
3730static const mbedtls_mpi_uint brainpoolP384r1_T_30_X[] = {
3731 BYTES_TO_T_UINT_8( 0xAE, 0xEE, 0x58, 0x31, 0xE8, 0x68, 0xD6, 0x76 ),
3732 BYTES_TO_T_UINT_8( 0xD2, 0x2E, 0x48, 0xB7, 0x09, 0x9F, 0xD4, 0xCA ),
3733 BYTES_TO_T_UINT_8( 0x34, 0xA9, 0x5C, 0xE7, 0x64, 0x43, 0x5D, 0xC9 ),
3734 BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x9F, 0x50, 0xAB, 0x68, 0xFF, 0x6D ),
3735 BYTES_TO_T_UINT_8( 0x87, 0x88, 0x2D, 0xBA, 0x12, 0xBF, 0x8D, 0x7D ),
3736 BYTES_TO_T_UINT_8( 0xD4, 0xDF, 0x6F, 0xB3, 0x75, 0xA4, 0x55, 0x73 ),
3737};
3738static const mbedtls_mpi_uint brainpoolP384r1_T_30_Y[] = {
3739 BYTES_TO_T_UINT_8( 0x6D, 0x17, 0x92, 0x39, 0xB7, 0x13, 0x37, 0x6F ),
3740 BYTES_TO_T_UINT_8( 0x5E, 0x43, 0x71, 0xA7, 0xCA, 0x17, 0x1B, 0x32 ),
3741 BYTES_TO_T_UINT_8( 0xE7, 0xB9, 0xB0, 0x78, 0xEF, 0xA0, 0xDA, 0x83 ),
3742 BYTES_TO_T_UINT_8( 0x9A, 0x84, 0xF2, 0x0F, 0x85, 0xA2, 0xB6, 0x1F ),
3743 BYTES_TO_T_UINT_8( 0x72, 0x65, 0x2E, 0x6E, 0x45, 0xB9, 0x4C, 0x3C ),
3744 BYTES_TO_T_UINT_8( 0xFE, 0x6A, 0x8C, 0x2B, 0x77, 0x96, 0x36, 0x22 ),
3745};
3746static const mbedtls_mpi_uint brainpoolP384r1_T_31_X[] = {
3747 BYTES_TO_T_UINT_8( 0x68, 0x7A, 0x13, 0x4A, 0x97, 0x63, 0x02, 0x10 ),
3748 BYTES_TO_T_UINT_8( 0xBC, 0x1E, 0x06, 0x03, 0x8F, 0xB9, 0xEE, 0x64 ),
3749 BYTES_TO_T_UINT_8( 0x68, 0xEE, 0x8B, 0x89, 0xA9, 0x70, 0xDB, 0xCE ),
3750 BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x81, 0xC9, 0x70, 0x8D, 0x62, 0x32 ),
3751 BYTES_TO_T_UINT_8( 0x75, 0xDA, 0x46, 0xF8, 0xF9, 0x3A, 0xBE, 0x55 ),
3752 BYTES_TO_T_UINT_8( 0x9F, 0x9C, 0x7A, 0x97, 0x62, 0xEB, 0xFA, 0x0F ),
3753};
3754static const mbedtls_mpi_uint brainpoolP384r1_T_31_Y[] = {
3755 BYTES_TO_T_UINT_8( 0xB2, 0x03, 0x3D, 0x3C, 0x46, 0x27, 0x9E, 0x65 ),
3756 BYTES_TO_T_UINT_8( 0xA4, 0x08, 0x1C, 0xD5, 0x25, 0xAF, 0xE9, 0x40 ),
3757 BYTES_TO_T_UINT_8( 0xFE, 0x69, 0xDC, 0x59, 0xF4, 0x8A, 0x7C, 0x1F ),
3758 BYTES_TO_T_UINT_8( 0xFC, 0x9A, 0x7A, 0x99, 0x21, 0x0C, 0x4E, 0xE3 ),
3759 BYTES_TO_T_UINT_8( 0xF5, 0xCE, 0x85, 0x5F, 0xAC, 0xAA, 0x82, 0x10 ),
3760 BYTES_TO_T_UINT_8( 0x83, 0x57, 0x69, 0x90, 0x76, 0xF3, 0x53, 0x3F ),
3761};
3762static const mbedtls_ecp_point brainpoolP384r1_T[32] = {
3763 ECP_POINT_INIT_XY_Z1(brainpoolP384r1_T_0_X, brainpoolP384r1_T_0_Y),
3764 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_1_X, brainpoolP384r1_T_1_Y),
3765 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_2_X, brainpoolP384r1_T_2_Y),
3766 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_3_X, brainpoolP384r1_T_3_Y),
3767 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_4_X, brainpoolP384r1_T_4_Y),
3768 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_5_X, brainpoolP384r1_T_5_Y),
3769 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_6_X, brainpoolP384r1_T_6_Y),
3770 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_7_X, brainpoolP384r1_T_7_Y),
3771 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_8_X, brainpoolP384r1_T_8_Y),
3772 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_9_X, brainpoolP384r1_T_9_Y),
3773 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_10_X, brainpoolP384r1_T_10_Y),
3774 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_11_X, brainpoolP384r1_T_11_Y),
3775 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_12_X, brainpoolP384r1_T_12_Y),
3776 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_13_X, brainpoolP384r1_T_13_Y),
3777 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_14_X, brainpoolP384r1_T_14_Y),
3778 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_15_X, brainpoolP384r1_T_15_Y),
3779 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_16_X, brainpoolP384r1_T_16_Y),
3780 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_17_X, brainpoolP384r1_T_17_Y),
3781 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_18_X, brainpoolP384r1_T_18_Y),
3782 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_19_X, brainpoolP384r1_T_19_Y),
3783 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_20_X, brainpoolP384r1_T_20_Y),
3784 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_21_X, brainpoolP384r1_T_21_Y),
3785 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_22_X, brainpoolP384r1_T_22_Y),
3786 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_23_X, brainpoolP384r1_T_23_Y),
3787 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_24_X, brainpoolP384r1_T_24_Y),
3788 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_25_X, brainpoolP384r1_T_25_Y),
3789 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_26_X, brainpoolP384r1_T_26_Y),
3790 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_27_X, brainpoolP384r1_T_27_Y),
3791 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_28_X, brainpoolP384r1_T_28_Y),
3792 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_29_X, brainpoolP384r1_T_29_Y),
3793 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_30_X, brainpoolP384r1_T_30_Y),
3794 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_31_X, brainpoolP384r1_T_31_Y),
3795};
3796#else
3797#define brainpoolP384r1_T NULL
3798#endif
3799
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003800#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003801
3802/*
3803 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
3804 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003805#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
3806static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003807 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
3808 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
3809 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
3810 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
3811 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
3812 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
3813 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
3814 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003815};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003816static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003817 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
3818 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
3819 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
3820 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
3821 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
3822 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
3823 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
3824 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003825};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003826static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003827 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
3828 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
3829 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
3830 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
3831 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
3832 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
3833 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
3834 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003835};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003836static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003837 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
3838 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
3839 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
3840 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
3841 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
3842 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
3843 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
3844 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003845};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003846static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003847 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
3848 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
3849 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
3850 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
3851 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
3852 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
3853 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
3854 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003855};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003856static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003857 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
3858 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
3859 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
3860 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
3861 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
3862 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
3863 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
3864 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003865};
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003866
kXuanba9cb762021-04-08 14:32:06 +08003867#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3868static const mbedtls_mpi_uint brainpoolP512r1_T_0_X[] = {
3869 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
3870 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
3871 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
3872 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
3873 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
3874 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
3875 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
3876 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
3877};
3878static const mbedtls_mpi_uint brainpoolP512r1_T_0_Y[] = {
3879 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
3880 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
3881 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
3882 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
3883 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
3884 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
3885 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
3886 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
3887};
3888static const mbedtls_mpi_uint brainpoolP512r1_T_1_X[] = {
3889 BYTES_TO_T_UINT_8( 0xEA, 0xE9, 0x6B, 0x8C, 0x6F, 0x9D, 0x88, 0x43 ),
3890 BYTES_TO_T_UINT_8( 0xBB, 0x4F, 0x86, 0x96, 0xA7, 0x56, 0xD1, 0x37 ),
3891 BYTES_TO_T_UINT_8( 0x9D, 0xAB, 0xFA, 0xEE, 0xA7, 0xF5, 0x0E, 0xA6 ),
3892 BYTES_TO_T_UINT_8( 0xE3, 0x40, 0xEF, 0x9E, 0x6D, 0xD6, 0x32, 0x33 ),
3893 BYTES_TO_T_UINT_8( 0xE3, 0xED, 0x56, 0x14, 0x57, 0x1A, 0x8D, 0x69 ),
3894 BYTES_TO_T_UINT_8( 0xA4, 0xED, 0x4D, 0x3A, 0xFA, 0x71, 0x75, 0x6B ),
3895 BYTES_TO_T_UINT_8( 0x66, 0xC5, 0x76, 0x1C, 0x14, 0xBE, 0xB5, 0xCD ),
3896 BYTES_TO_T_UINT_8( 0xE1, 0x5A, 0xCB, 0xE7, 0x36, 0x1D, 0x52, 0x1C ),
3897};
3898static const mbedtls_mpi_uint brainpoolP512r1_T_1_Y[] = {
3899 BYTES_TO_T_UINT_8( 0x6B, 0x8D, 0x7A, 0xEB, 0xA3, 0x8B, 0xD5, 0xB0 ),
3900 BYTES_TO_T_UINT_8( 0x1F, 0xA3, 0x41, 0xF8, 0xAC, 0x9E, 0xAB, 0x74 ),
3901 BYTES_TO_T_UINT_8( 0x12, 0xE3, 0x65, 0x0D, 0x1C, 0xFE, 0x09, 0x2B ),
3902 BYTES_TO_T_UINT_8( 0x3F, 0xCA, 0x13, 0x3F, 0xC5, 0xF9, 0x7E, 0xEC ),
3903 BYTES_TO_T_UINT_8( 0x2C, 0x5D, 0x63, 0x28, 0xA6, 0x89, 0xD3, 0x91 ),
3904 BYTES_TO_T_UINT_8( 0xC9, 0x95, 0x3F, 0x7A, 0x82, 0xD4, 0x77, 0xE3 ),
3905 BYTES_TO_T_UINT_8( 0x34, 0xBB, 0x92, 0x32, 0x00, 0xF4, 0x66, 0x42 ),
3906 BYTES_TO_T_UINT_8( 0xBA, 0x58, 0x31, 0xD1, 0x17, 0x9F, 0x2A, 0x22 ),
3907};
3908static const mbedtls_mpi_uint brainpoolP512r1_T_2_X[] = {
3909 BYTES_TO_T_UINT_8( 0x52, 0x36, 0xA9, 0xCD, 0x80, 0xA5, 0x2D, 0x78 ),
3910 BYTES_TO_T_UINT_8( 0x91, 0x44, 0xAB, 0xCE, 0x71, 0xFF, 0x0C, 0x9B ),
3911 BYTES_TO_T_UINT_8( 0x18, 0x24, 0x58, 0x35, 0x5A, 0x21, 0x32, 0x93 ),
3912 BYTES_TO_T_UINT_8( 0x1B, 0xA6, 0x28, 0xF8, 0x7A, 0x97, 0xAE, 0x8B ),
3913 BYTES_TO_T_UINT_8( 0x84, 0xE7, 0x08, 0xFA, 0x47, 0xC9, 0x55, 0x09 ),
3914 BYTES_TO_T_UINT_8( 0x8D, 0xAC, 0x2E, 0x84, 0xA4, 0xF5, 0x52, 0xC4 ),
3915 BYTES_TO_T_UINT_8( 0xD9, 0x58, 0x05, 0x9D, 0xA7, 0xC8, 0x71, 0xBF ),
3916 BYTES_TO_T_UINT_8( 0xB3, 0x92, 0xB4, 0x92, 0xC1, 0x92, 0xEC, 0x6B ),
3917};
3918static const mbedtls_mpi_uint brainpoolP512r1_T_2_Y[] = {
3919 BYTES_TO_T_UINT_8( 0x4A, 0x48, 0x2D, 0x79, 0x5E, 0x58, 0xE5, 0x69 ),
3920 BYTES_TO_T_UINT_8( 0xB4, 0x85, 0x26, 0xEC, 0xE9, 0x6E, 0xD4, 0x06 ),
3921 BYTES_TO_T_UINT_8( 0x98, 0x68, 0x26, 0x87, 0x38, 0xA2, 0xD2, 0x0B ),
3922 BYTES_TO_T_UINT_8( 0xF7, 0x17, 0x60, 0xCE, 0x75, 0xF8, 0xA5, 0x6F ),
3923 BYTES_TO_T_UINT_8( 0x20, 0x51, 0xDB, 0xA9, 0xAE, 0x87, 0xF1, 0x15 ),
3924 BYTES_TO_T_UINT_8( 0xDD, 0x49, 0x92, 0x3B, 0x19, 0x96, 0xF5, 0xB0 ),
3925 BYTES_TO_T_UINT_8( 0xC4, 0xD5, 0x52, 0x52, 0x8C, 0xCE, 0xFD, 0xFA ),
3926 BYTES_TO_T_UINT_8( 0x24, 0x18, 0x0A, 0xE6, 0xF6, 0xAE, 0x08, 0x41 ),
3927};
3928static const mbedtls_mpi_uint brainpoolP512r1_T_3_X[] = {
3929 BYTES_TO_T_UINT_8( 0x7E, 0x2B, 0xD8, 0x54, 0xCE, 0xB0, 0x57, 0xFE ),
3930 BYTES_TO_T_UINT_8( 0x8A, 0xB0, 0xF8, 0x9E, 0x03, 0x03, 0x3C, 0x5D ),
3931 BYTES_TO_T_UINT_8( 0x93, 0x0E, 0x29, 0x29, 0x00, 0xF3, 0x70, 0xBF ),
3932 BYTES_TO_T_UINT_8( 0x54, 0x33, 0x99, 0x0E, 0x00, 0x5D, 0xFE, 0x4B ),
3933 BYTES_TO_T_UINT_8( 0x46, 0x2D, 0xF2, 0x59, 0x32, 0xCF, 0x03, 0xF4 ),
3934 BYTES_TO_T_UINT_8( 0x3B, 0xC9, 0x72, 0xAE, 0x0C, 0xEF, 0xD1, 0x5B ),
3935 BYTES_TO_T_UINT_8( 0xB6, 0x5A, 0x27, 0xBF, 0x2F, 0x45, 0xF9, 0x51 ),
3936 BYTES_TO_T_UINT_8( 0xD4, 0xBE, 0xE5, 0x2C, 0xFF, 0x5B, 0x1E, 0x88 ),
3937};
3938static const mbedtls_mpi_uint brainpoolP512r1_T_3_Y[] = {
3939 BYTES_TO_T_UINT_8( 0xAA, 0xAC, 0xBB, 0xD8, 0x83, 0xC2, 0x46, 0xF6 ),
3940 BYTES_TO_T_UINT_8( 0xCF, 0xDC, 0xCE, 0x15, 0xB4, 0xEF, 0xCF, 0x46 ),
3941 BYTES_TO_T_UINT_8( 0x46, 0xDB, 0x5E, 0x94, 0x31, 0x0B, 0xB2, 0x7A ),
3942 BYTES_TO_T_UINT_8( 0x3C, 0xB9, 0xE3, 0xE3, 0x11, 0x71, 0x41, 0x1E ),
3943 BYTES_TO_T_UINT_8( 0x36, 0xE3, 0x01, 0xB7, 0x7D, 0xBC, 0x65, 0xBE ),
3944 BYTES_TO_T_UINT_8( 0xFC, 0x07, 0x65, 0x87, 0xA7, 0xE8, 0x48, 0xE3 ),
3945 BYTES_TO_T_UINT_8( 0x66, 0x48, 0x8F, 0xD4, 0x30, 0x8E, 0xB4, 0x6C ),
3946 BYTES_TO_T_UINT_8( 0x86, 0xE0, 0x73, 0xBE, 0x1E, 0xBF, 0x56, 0x36 ),
3947};
3948static const mbedtls_mpi_uint brainpoolP512r1_T_4_X[] = {
3949 BYTES_TO_T_UINT_8( 0xFE, 0x0E, 0x5E, 0x87, 0xC5, 0xAB, 0x0E, 0x3C ),
3950 BYTES_TO_T_UINT_8( 0xB9, 0xF9, 0x5F, 0x80, 0x24, 0x4C, 0x2A, 0xF1 ),
3951 BYTES_TO_T_UINT_8( 0xDE, 0x15, 0x21, 0x54, 0x92, 0x84, 0x8D, 0x6A ),
3952 BYTES_TO_T_UINT_8( 0xA8, 0x8A, 0x47, 0x74, 0xDC, 0x42, 0xB1, 0xF8 ),
3953 BYTES_TO_T_UINT_8( 0x81, 0xF7, 0x30, 0xFD, 0xC1, 0x9B, 0x0C, 0x5B ),
3954 BYTES_TO_T_UINT_8( 0x4E, 0x6C, 0xCC, 0xDF, 0xC5, 0xE3, 0xA9, 0xD5 ),
3955 BYTES_TO_T_UINT_8( 0xD6, 0x67, 0x59, 0x10, 0x5C, 0x51, 0x54, 0x40 ),
3956 BYTES_TO_T_UINT_8( 0xA0, 0x37, 0xFB, 0x6E, 0xB0, 0x78, 0x63, 0x8E ),
3957};
3958static const mbedtls_mpi_uint brainpoolP512r1_T_4_Y[] = {
3959 BYTES_TO_T_UINT_8( 0xA5, 0xEF, 0xC4, 0x39, 0x20, 0xF1, 0x46, 0x66 ),
3960 BYTES_TO_T_UINT_8( 0xE2, 0x62, 0xAE, 0xFF, 0x10, 0xE4, 0xE2, 0xE9 ),
3961 BYTES_TO_T_UINT_8( 0xFF, 0x5C, 0xF5, 0x2E, 0x22, 0x89, 0xE5, 0x82 ),
3962 BYTES_TO_T_UINT_8( 0x89, 0x0C, 0x29, 0xA8, 0x62, 0xAE, 0xDB, 0x65 ),
3963 BYTES_TO_T_UINT_8( 0xD7, 0x9E, 0x0F, 0xCA, 0x87, 0x2A, 0x6F, 0x7B ),
3964 BYTES_TO_T_UINT_8( 0xCE, 0xDC, 0x9B, 0x9F, 0x65, 0xD4, 0xAD, 0x27 ),
3965 BYTES_TO_T_UINT_8( 0xED, 0xC3, 0x08, 0x0F, 0xCF, 0x67, 0xE9, 0xF4 ),
3966 BYTES_TO_T_UINT_8( 0x92, 0x5C, 0xD7, 0xFF, 0x41, 0x9C, 0xCB, 0x26 ),
3967};
3968static const mbedtls_mpi_uint brainpoolP512r1_T_5_X[] = {
3969 BYTES_TO_T_UINT_8( 0x37, 0x25, 0x05, 0x12, 0xAD, 0x73, 0x63, 0x90 ),
3970 BYTES_TO_T_UINT_8( 0xC7, 0x99, 0x07, 0x86, 0x57, 0xE7, 0x94, 0xB1 ),
3971 BYTES_TO_T_UINT_8( 0x00, 0x4B, 0xA5, 0xBF, 0x18, 0xA9, 0xEF, 0x6A ),
3972 BYTES_TO_T_UINT_8( 0xFA, 0x4C, 0xC4, 0x09, 0xF2, 0x2F, 0x0C, 0xAA ),
3973 BYTES_TO_T_UINT_8( 0x8C, 0x3A, 0x04, 0xEA, 0x89, 0x6C, 0x91, 0xB9 ),
3974 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0x3A, 0xE7, 0xA3, 0xEC, 0x24, 0x7B ),
3975 BYTES_TO_T_UINT_8( 0x16, 0xA1, 0x26, 0x21, 0x04, 0xE3, 0xB9, 0x40 ),
3976 BYTES_TO_T_UINT_8( 0x53, 0x71, 0x4B, 0x7B, 0xC2, 0x89, 0xCD, 0xA2 ),
3977};
3978static const mbedtls_mpi_uint brainpoolP512r1_T_5_Y[] = {
3979 BYTES_TO_T_UINT_8( 0xB7, 0xB9, 0xA8, 0x9D, 0xFD, 0x00, 0x3A, 0x1F ),
3980 BYTES_TO_T_UINT_8( 0x63, 0x41, 0x6C, 0xBB, 0x5A, 0xCA, 0x1F, 0x74 ),
3981 BYTES_TO_T_UINT_8( 0x2A, 0xD7, 0xE2, 0x6C, 0x6B, 0xA7, 0x48, 0xC9 ),
3982 BYTES_TO_T_UINT_8( 0x1E, 0x19, 0xAD, 0xA7, 0xC1, 0x7E, 0x4F, 0x6E ),
3983 BYTES_TO_T_UINT_8( 0xD1, 0xF7, 0x19, 0x3C, 0x06, 0x74, 0x2C, 0x3A ),
3984 BYTES_TO_T_UINT_8( 0xC5, 0x23, 0x4F, 0x0C, 0x09, 0xB0, 0x80, 0x4A ),
3985 BYTES_TO_T_UINT_8( 0x4E, 0x74, 0x34, 0x08, 0x44, 0x7E, 0xA3, 0xDD ),
3986 BYTES_TO_T_UINT_8( 0xFB, 0xCC, 0x8D, 0x12, 0x6E, 0xE1, 0x3D, 0x0B ),
3987};
3988static const mbedtls_mpi_uint brainpoolP512r1_T_6_X[] = {
3989 BYTES_TO_T_UINT_8( 0x38, 0x18, 0xB1, 0x71, 0x02, 0x93, 0xC2, 0xA4 ),
3990 BYTES_TO_T_UINT_8( 0xC9, 0x89, 0x40, 0xE2, 0x1F, 0xE7, 0x5E, 0x68 ),
3991 BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xAE, 0x89, 0x01, 0xD4, 0x0C, 0xEB ),
3992 BYTES_TO_T_UINT_8( 0xAE, 0xDA, 0x58, 0x70, 0x24, 0xF2, 0xE4, 0x5F ),
3993 BYTES_TO_T_UINT_8( 0x6F, 0xC7, 0x1D, 0xD6, 0x4A, 0x6F, 0x66, 0x4F ),
3994 BYTES_TO_T_UINT_8( 0x92, 0x1D, 0x7E, 0x4A, 0x2C, 0xCA, 0xEC, 0x3B ),
3995 BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x7F, 0xA8, 0x99, 0xE4, 0xD3, 0x4E ),
3996 BYTES_TO_T_UINT_8( 0x2A, 0x1D, 0x5A, 0xDF, 0x5E, 0x58, 0x36, 0x49 ),
3997};
3998static const mbedtls_mpi_uint brainpoolP512r1_T_6_Y[] = {
3999 BYTES_TO_T_UINT_8( 0x9C, 0xB9, 0x32, 0x69, 0x1F, 0x72, 0x2A, 0xB3 ),
4000 BYTES_TO_T_UINT_8( 0x1C, 0x73, 0xE2, 0x03, 0x39, 0x35, 0xAA, 0xA8 ),
4001 BYTES_TO_T_UINT_8( 0xEB, 0x5E, 0x5D, 0x48, 0xEF, 0xAE, 0x30, 0xF5 ),
4002 BYTES_TO_T_UINT_8( 0x77, 0x7F, 0x60, 0x19, 0xAF, 0xEC, 0x9D, 0xFC ),
4003 BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x19, 0xE4, 0x1B, 0x56, 0x15, 0x5F ),
4004 BYTES_TO_T_UINT_8( 0xBC, 0xD7, 0x33, 0x59, 0x1F, 0x43, 0x59, 0x2C ),
4005 BYTES_TO_T_UINT_8( 0xC6, 0xCE, 0xEE, 0xCA, 0xA4, 0x7F, 0x63, 0xD4 ),
4006 BYTES_TO_T_UINT_8( 0xBD, 0x40, 0xC0, 0xF6, 0x19, 0x89, 0x43, 0x20 ),
4007};
4008static const mbedtls_mpi_uint brainpoolP512r1_T_7_X[] = {
4009 BYTES_TO_T_UINT_8( 0xEB, 0x92, 0xEA, 0x07, 0x65, 0x79, 0x86, 0xD3 ),
4010 BYTES_TO_T_UINT_8( 0xFF, 0xB7, 0x13, 0x75, 0xD3, 0xC5, 0x0A, 0xC9 ),
4011 BYTES_TO_T_UINT_8( 0x26, 0x9E, 0xFA, 0xE1, 0x1F, 0x0C, 0xF9, 0x74 ),
4012 BYTES_TO_T_UINT_8( 0xB4, 0x8C, 0xED, 0x5C, 0x21, 0xE9, 0x09, 0xDD ),
4013 BYTES_TO_T_UINT_8( 0xF4, 0x4D, 0xD8, 0x18, 0xC4, 0xF6, 0x36, 0x39 ),
4014 BYTES_TO_T_UINT_8( 0xC7, 0xC9, 0xAC, 0x5C, 0xFA, 0x69, 0xA4, 0xA0 ),
4015 BYTES_TO_T_UINT_8( 0x6B, 0x8C, 0x94, 0x1C, 0x7B, 0x71, 0x36, 0x58 ),
4016 BYTES_TO_T_UINT_8( 0x7C, 0xBD, 0x46, 0xCE, 0xB7, 0x1D, 0x9C, 0x5E ),
4017};
4018static const mbedtls_mpi_uint brainpoolP512r1_T_7_Y[] = {
4019 BYTES_TO_T_UINT_8( 0xEA, 0xD6, 0x96, 0x4B, 0xA6, 0x47, 0xEB, 0xE5 ),
4020 BYTES_TO_T_UINT_8( 0x5F, 0xF1, 0x5F, 0x15, 0xDE, 0x99, 0x6F, 0x66 ),
4021 BYTES_TO_T_UINT_8( 0x21, 0xBD, 0xE5, 0x04, 0xB8, 0xE6, 0xC0, 0x0B ),
4022 BYTES_TO_T_UINT_8( 0x49, 0xD3, 0xF0, 0x04, 0x00, 0xE4, 0x05, 0xDB ),
4023 BYTES_TO_T_UINT_8( 0x96, 0xF3, 0x06, 0xA3, 0x1A, 0xFF, 0xEA, 0x73 ),
4024 BYTES_TO_T_UINT_8( 0x08, 0x32, 0xAA, 0x99, 0x33, 0x09, 0xB6, 0x34 ),
4025 BYTES_TO_T_UINT_8( 0x6E, 0xEF, 0xFC, 0x61, 0x10, 0x42, 0x31, 0x94 ),
4026 BYTES_TO_T_UINT_8( 0x34, 0xF1, 0xF4, 0x33, 0xCF, 0x28, 0x90, 0x9C ),
4027};
4028static const mbedtls_mpi_uint brainpoolP512r1_T_8_X[] = {
4029 BYTES_TO_T_UINT_8( 0x10, 0xDE, 0xF9, 0x88, 0x87, 0x7B, 0xEB, 0xC9 ),
4030 BYTES_TO_T_UINT_8( 0x66, 0xB8, 0xDA, 0xFA, 0xDA, 0x3D, 0xA6, 0x17 ),
4031 BYTES_TO_T_UINT_8( 0xA0, 0xF0, 0x62, 0x82, 0x53, 0x32, 0x55, 0x03 ),
4032 BYTES_TO_T_UINT_8( 0x2F, 0xA5, 0x32, 0x4A, 0x19, 0x11, 0x9C, 0x10 ),
4033 BYTES_TO_T_UINT_8( 0x16, 0xB3, 0x27, 0xE9, 0x75, 0x90, 0x05, 0x2D ),
4034 BYTES_TO_T_UINT_8( 0x63, 0x1C, 0x90, 0x48, 0x77, 0x01, 0x85, 0x1B ),
4035 BYTES_TO_T_UINT_8( 0xC7, 0xD6, 0x9B, 0x84, 0xA8, 0xD7, 0xC5, 0x28 ),
4036 BYTES_TO_T_UINT_8( 0xE1, 0x7A, 0xCB, 0xB3, 0x11, 0x46, 0xD7, 0x99 ),
4037};
4038static const mbedtls_mpi_uint brainpoolP512r1_T_8_Y[] = {
4039 BYTES_TO_T_UINT_8( 0x8B, 0x23, 0xBF, 0x75, 0x75, 0xA1, 0x95, 0x90 ),
4040 BYTES_TO_T_UINT_8( 0x4B, 0x66, 0x5D, 0x34, 0x13, 0xA9, 0x03, 0xBE ),
4041 BYTES_TO_T_UINT_8( 0x29, 0x80, 0x9D, 0x5F, 0xD2, 0x44, 0xE1, 0x62 ),
4042 BYTES_TO_T_UINT_8( 0x96, 0x5D, 0xBD, 0xA8, 0xBF, 0xB4, 0x25, 0x1F ),
4043 BYTES_TO_T_UINT_8( 0x6A, 0x99, 0x1F, 0x53, 0xF1, 0x57, 0xDB, 0xE7 ),
4044 BYTES_TO_T_UINT_8( 0x21, 0x7C, 0xE5, 0xC5, 0x51, 0x0B, 0x4C, 0x9B ),
4045 BYTES_TO_T_UINT_8( 0x6B, 0xB0, 0x1A, 0x9C, 0x16, 0xB0, 0x32, 0x1F ),
4046 BYTES_TO_T_UINT_8( 0xF4, 0xE3, 0xCF, 0xDD, 0x48, 0xB4, 0x7B, 0x33 ),
4047};
4048static const mbedtls_mpi_uint brainpoolP512r1_T_9_X[] = {
4049 BYTES_TO_T_UINT_8( 0xC0, 0xDD, 0x9E, 0x3C, 0x98, 0x0E, 0x77, 0x65 ),
4050 BYTES_TO_T_UINT_8( 0x6C, 0xAB, 0x01, 0xD3, 0x87, 0x74, 0x25, 0x4A ),
4051 BYTES_TO_T_UINT_8( 0x87, 0xA3, 0xE3, 0x76, 0x43, 0x87, 0x12, 0xBD ),
4052 BYTES_TO_T_UINT_8( 0x54, 0xB1, 0x3B, 0x60, 0x66, 0xEB, 0x98, 0x54 ),
4053 BYTES_TO_T_UINT_8( 0xD2, 0x78, 0xC8, 0xD7, 0x4E, 0x75, 0xCA, 0x69 ),
4054 BYTES_TO_T_UINT_8( 0x07, 0xDF, 0x71, 0x19, 0xE7, 0x07, 0x36, 0xB5 ),
4055 BYTES_TO_T_UINT_8( 0x6D, 0xC9, 0xA8, 0x5F, 0x91, 0xBF, 0x47, 0xB2 ),
4056 BYTES_TO_T_UINT_8( 0x80, 0x96, 0x58, 0x96, 0x18, 0xB6, 0xFA, 0x01 ),
4057};
4058static const mbedtls_mpi_uint brainpoolP512r1_T_9_Y[] = {
4059 BYTES_TO_T_UINT_8( 0xD0, 0x2D, 0xA9, 0x9B, 0x86, 0xDB, 0x0C, 0x4C ),
4060 BYTES_TO_T_UINT_8( 0xE4, 0x0B, 0x2D, 0x56, 0x4A, 0xD3, 0x93, 0x8A ),
4061 BYTES_TO_T_UINT_8( 0xB5, 0x15, 0xE2, 0x65, 0x12, 0x86, 0x0E, 0xB2 ),
4062 BYTES_TO_T_UINT_8( 0xB4, 0x41, 0x4D, 0xC1, 0xCB, 0xE4, 0xC3, 0xD7 ),
4063 BYTES_TO_T_UINT_8( 0x6A, 0x53, 0x10, 0xCA, 0xA3, 0xAC, 0x83, 0x26 ),
4064 BYTES_TO_T_UINT_8( 0x3E, 0x01, 0x22, 0x96, 0x10, 0xAD, 0x69, 0xDB ),
4065 BYTES_TO_T_UINT_8( 0x42, 0x46, 0x4E, 0xD8, 0xEA, 0xD6, 0x9D, 0xF3 ),
4066 BYTES_TO_T_UINT_8( 0x43, 0x2F, 0x7F, 0x62, 0x62, 0x80, 0xD0, 0x14 ),
4067};
4068static const mbedtls_mpi_uint brainpoolP512r1_T_10_X[] = {
4069 BYTES_TO_T_UINT_8( 0xB2, 0xDA, 0x00, 0x63, 0x09, 0xBD, 0x6A, 0x83 ),
4070 BYTES_TO_T_UINT_8( 0x0F, 0xD4, 0x6E, 0x48, 0x05, 0xB7, 0xF7, 0x17 ),
4071 BYTES_TO_T_UINT_8( 0x14, 0x4D, 0xD7, 0x00, 0x4A, 0x15, 0x27, 0x7A ),
4072 BYTES_TO_T_UINT_8( 0x3A, 0x15, 0xAA, 0x37, 0x27, 0x34, 0x18, 0x24 ),
4073 BYTES_TO_T_UINT_8( 0x3A, 0x20, 0x2C, 0x84, 0x1B, 0x88, 0xBA, 0x05 ),
4074 BYTES_TO_T_UINT_8( 0xAC, 0x09, 0xD6, 0x04, 0xA2, 0x60, 0x84, 0x72 ),
4075 BYTES_TO_T_UINT_8( 0xC8, 0x04, 0x94, 0x08, 0xD4, 0xED, 0x47, 0xDB ),
4076 BYTES_TO_T_UINT_8( 0x8B, 0xF3, 0xE4, 0x3E, 0xB9, 0x5B, 0x35, 0x42 ),
4077};
4078static const mbedtls_mpi_uint brainpoolP512r1_T_10_Y[] = {
4079 BYTES_TO_T_UINT_8( 0x5F, 0xD8, 0xB6, 0x80, 0xD6, 0xF1, 0x30, 0xDD ),
4080 BYTES_TO_T_UINT_8( 0xD6, 0x14, 0xA6, 0x85, 0xEE, 0xA7, 0xD8, 0x61 ),
4081 BYTES_TO_T_UINT_8( 0xE4, 0x49, 0x2A, 0x1E, 0x7C, 0xE9, 0x2D, 0xEC ),
4082 BYTES_TO_T_UINT_8( 0x3A, 0x87, 0x56, 0x91, 0x03, 0x77, 0x4D, 0x55 ),
4083 BYTES_TO_T_UINT_8( 0x0E, 0x52, 0xD4, 0xAA, 0xF7, 0xFA, 0xB0, 0xC5 ),
4084 BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x11, 0x39, 0xB1, 0xE7, 0x76, 0xAD ),
4085 BYTES_TO_T_UINT_8( 0xD6, 0x13, 0xBC, 0x37, 0x5D, 0x74, 0xCD, 0xC2 ),
4086 BYTES_TO_T_UINT_8( 0xC9, 0x48, 0x14, 0x23, 0x30, 0xF8, 0x46, 0x37 ),
4087};
4088static const mbedtls_mpi_uint brainpoolP512r1_T_11_X[] = {
4089 BYTES_TO_T_UINT_8( 0xAC, 0x27, 0xB0, 0xD9, 0xB2, 0x74, 0xB4, 0xC0 ),
4090 BYTES_TO_T_UINT_8( 0xEA, 0xA6, 0xB9, 0x6F, 0x9F, 0x64, 0x36, 0x92 ),
4091 BYTES_TO_T_UINT_8( 0x2E, 0x2B, 0x78, 0x40, 0x05, 0x2B, 0x7B, 0xA9 ),
4092 BYTES_TO_T_UINT_8( 0xB3, 0x68, 0x3A, 0xB6, 0x4A, 0xE2, 0xDB, 0xB8 ),
4093 BYTES_TO_T_UINT_8( 0x1E, 0x33, 0xD7, 0x34, 0x8B, 0x25, 0x45, 0xEF ),
4094 BYTES_TO_T_UINT_8( 0x89, 0xCE, 0xA8, 0xC9, 0x01, 0xFB, 0x0E, 0x7B ),
4095 BYTES_TO_T_UINT_8( 0xE2, 0xF9, 0x51, 0x4C, 0x12, 0x9F, 0x60, 0xE4 ),
4096 BYTES_TO_T_UINT_8( 0x67, 0x85, 0xBD, 0x30, 0x37, 0x84, 0x39, 0x44 ),
4097};
4098static const mbedtls_mpi_uint brainpoolP512r1_T_11_Y[] = {
4099 BYTES_TO_T_UINT_8( 0x26, 0x33, 0xAF, 0x2E, 0xB8, 0x2E, 0xCC, 0x3C ),
4100 BYTES_TO_T_UINT_8( 0xA4, 0xB1, 0x73, 0x59, 0x4E, 0x0C, 0x09, 0x4A ),
4101 BYTES_TO_T_UINT_8( 0x8A, 0x24, 0x89, 0x81, 0x12, 0xFF, 0xBB, 0x6E ),
4102 BYTES_TO_T_UINT_8( 0x71, 0x37, 0x1A, 0x66, 0xEE, 0xED, 0xB6, 0x9B ),
4103 BYTES_TO_T_UINT_8( 0x16, 0xBD, 0x04, 0x20, 0x5D, 0xFB, 0xBF, 0x95 ),
4104 BYTES_TO_T_UINT_8( 0xA0, 0xF8, 0x34, 0xA3, 0xFF, 0x45, 0xDE, 0x92 ),
4105 BYTES_TO_T_UINT_8( 0x9B, 0x18, 0x73, 0xF1, 0x32, 0x25, 0x58, 0xEB ),
4106 BYTES_TO_T_UINT_8( 0x63, 0xC1, 0x14, 0xE3, 0x9E, 0x40, 0x0F, 0x12 ),
4107};
4108static const mbedtls_mpi_uint brainpoolP512r1_T_12_X[] = {
4109 BYTES_TO_T_UINT_8( 0x61, 0x07, 0x9D, 0x9C, 0x00, 0xF7, 0x56, 0x19 ),
4110 BYTES_TO_T_UINT_8( 0xFB, 0xBA, 0x87, 0xF9, 0x15, 0x0C, 0x66, 0x5D ),
4111 BYTES_TO_T_UINT_8( 0x7E, 0x1F, 0xC1, 0x28, 0xB0, 0x47, 0x0D, 0xF5 ),
4112 BYTES_TO_T_UINT_8( 0x96, 0xCA, 0x27, 0xEE, 0x4B, 0x23, 0x2B, 0x89 ),
4113 BYTES_TO_T_UINT_8( 0x7E, 0xB5, 0x68, 0xC8, 0x17, 0x5D, 0xC3, 0xAA ),
4114 BYTES_TO_T_UINT_8( 0x17, 0x02, 0x08, 0xEE, 0x20, 0x9D, 0xEA, 0x64 ),
4115 BYTES_TO_T_UINT_8( 0xA7, 0x14, 0x50, 0xD4, 0x7D, 0x5F, 0xCF, 0xA0 ),
4116 BYTES_TO_T_UINT_8( 0xD5, 0xFA, 0xF8, 0xA7, 0xC6, 0xDC, 0x14, 0x8C ),
4117};
4118static const mbedtls_mpi_uint brainpoolP512r1_T_12_Y[] = {
4119 BYTES_TO_T_UINT_8( 0x76, 0xBD, 0x0A, 0x1A, 0x18, 0x98, 0xDC, 0xB0 ),
4120 BYTES_TO_T_UINT_8( 0x63, 0x63, 0x02, 0xB7, 0xD5, 0x5B, 0x5A, 0xC6 ),
4121 BYTES_TO_T_UINT_8( 0x51, 0xB1, 0xD7, 0x4B, 0x15, 0x39, 0x61, 0x5D ),
4122 BYTES_TO_T_UINT_8( 0x5C, 0x32, 0xE1, 0x9E, 0x70, 0x1B, 0xCE, 0x51 ),
4123 BYTES_TO_T_UINT_8( 0x64, 0xD8, 0x18, 0x83, 0x52, 0x9B, 0x6D, 0xA2 ),
4124 BYTES_TO_T_UINT_8( 0xA4, 0x55, 0x56, 0x19, 0x34, 0xA4, 0xEA, 0xFC ),
4125 BYTES_TO_T_UINT_8( 0x30, 0xA9, 0x55, 0x80, 0xE3, 0x15, 0x36, 0x8B ),
4126 BYTES_TO_T_UINT_8( 0xBB, 0x06, 0xC8, 0x1D, 0x17, 0x0D, 0xAD, 0x16 ),
4127};
4128static const mbedtls_mpi_uint brainpoolP512r1_T_13_X[] = {
4129 BYTES_TO_T_UINT_8( 0x20, 0xD6, 0xF0, 0xCC, 0xF3, 0x63, 0x53, 0xD2 ),
4130 BYTES_TO_T_UINT_8( 0x27, 0x5A, 0xDC, 0x46, 0xBD, 0x0D, 0xAD, 0x96 ),
4131 BYTES_TO_T_UINT_8( 0x21, 0x2F, 0x11, 0x60, 0x15, 0x51, 0x4A, 0xEA ),
4132 BYTES_TO_T_UINT_8( 0x33, 0xE3, 0x93, 0x38, 0xD5, 0x83, 0xAA, 0x0D ),
4133 BYTES_TO_T_UINT_8( 0x90, 0xA6, 0xCC, 0xB1, 0xFD, 0xBB, 0x1A, 0x0F ),
4134 BYTES_TO_T_UINT_8( 0x3B, 0x54, 0xC8, 0x54, 0x6F, 0x79, 0x1A, 0x59 ),
4135 BYTES_TO_T_UINT_8( 0x3F, 0x4A, 0xDA, 0x28, 0x92, 0x97, 0x9D, 0x7F ),
4136 BYTES_TO_T_UINT_8( 0xD6, 0x4B, 0xDB, 0xC7, 0x52, 0xC5, 0x66, 0x34 ),
4137};
4138static const mbedtls_mpi_uint brainpoolP512r1_T_13_Y[] = {
4139 BYTES_TO_T_UINT_8( 0x05, 0x7E, 0x92, 0x53, 0x30, 0x93, 0xFD, 0xFF ),
4140 BYTES_TO_T_UINT_8( 0xA0, 0x16, 0x6A, 0xB1, 0x91, 0x0A, 0xB4, 0x52 ),
4141 BYTES_TO_T_UINT_8( 0x6D, 0x9D, 0x40, 0x3F, 0xE3, 0xF1, 0x01, 0x46 ),
4142 BYTES_TO_T_UINT_8( 0x13, 0x0E, 0xD8, 0xED, 0x11, 0x8E, 0x4C, 0xED ),
4143 BYTES_TO_T_UINT_8( 0x86, 0x4A, 0x1B, 0x88, 0xDF, 0x8D, 0x29, 0xE7 ),
4144 BYTES_TO_T_UINT_8( 0x97, 0x23, 0x21, 0x11, 0xAB, 0x77, 0x81, 0x62 ),
4145 BYTES_TO_T_UINT_8( 0x0B, 0xAF, 0x11, 0xFA, 0xBA, 0x40, 0x63, 0xE7 ),
4146 BYTES_TO_T_UINT_8( 0x2B, 0x6F, 0x8D, 0x80, 0xDF, 0x67, 0xF5, 0x44 ),
4147};
4148static const mbedtls_mpi_uint brainpoolP512r1_T_14_X[] = {
4149 BYTES_TO_T_UINT_8( 0xB2, 0x8B, 0xB7, 0x08, 0xF4, 0xD7, 0x2D, 0xA8 ),
4150 BYTES_TO_T_UINT_8( 0xC7, 0x2B, 0x30, 0x02, 0x45, 0x71, 0x08, 0x49 ),
4151 BYTES_TO_T_UINT_8( 0x97, 0x3A, 0xCA, 0x50, 0xF6, 0xC2, 0x19, 0x8C ),
4152 BYTES_TO_T_UINT_8( 0x17, 0xB9, 0x9B, 0x3E, 0x73, 0x95, 0x1D, 0x49 ),
4153 BYTES_TO_T_UINT_8( 0xB6, 0x60, 0x59, 0x48, 0xCB, 0xD8, 0xD6, 0xAA ),
4154 BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x6C, 0x89, 0xAB, 0x99, 0xA8, 0xF8 ),
4155 BYTES_TO_T_UINT_8( 0xEF, 0xA1, 0x8B, 0x4E, 0x06, 0x19, 0xEC, 0x99 ),
4156 BYTES_TO_T_UINT_8( 0x70, 0x95, 0x04, 0xCF, 0xD5, 0x94, 0xB3, 0x02 ),
4157};
4158static const mbedtls_mpi_uint brainpoolP512r1_T_14_Y[] = {
4159 BYTES_TO_T_UINT_8( 0x29, 0x35, 0x93, 0x7C, 0xB3, 0xB8, 0x9E, 0x1B ),
4160 BYTES_TO_T_UINT_8( 0xC4, 0x45, 0x5C, 0x7E, 0xBF, 0x75, 0x81, 0x0F ),
4161 BYTES_TO_T_UINT_8( 0xDC, 0xE8, 0x24, 0xDF, 0xEC, 0x2F, 0x7D, 0xB9 ),
4162 BYTES_TO_T_UINT_8( 0xF2, 0x8B, 0xD5, 0x6A, 0x9B, 0xA0, 0xE0, 0x4F ),
4163 BYTES_TO_T_UINT_8( 0x32, 0xE3, 0x27, 0x82, 0xDE, 0xDD, 0xCA, 0x4B ),
4164 BYTES_TO_T_UINT_8( 0xA7, 0x57, 0x56, 0x46, 0x05, 0x06, 0x01, 0x2E ),
4165 BYTES_TO_T_UINT_8( 0x74, 0x35, 0xA7, 0x47, 0xE2, 0x6B, 0x2C, 0x4F ),
4166 BYTES_TO_T_UINT_8( 0x38, 0x9D, 0x4C, 0xEC, 0x1F, 0x11, 0x75, 0x2B ),
4167};
4168static const mbedtls_mpi_uint brainpoolP512r1_T_15_X[] = {
4169 BYTES_TO_T_UINT_8( 0xAC, 0xAA, 0x41, 0xC1, 0xE9, 0x0E, 0xE9, 0xAA ),
4170 BYTES_TO_T_UINT_8( 0x0A, 0xCF, 0x9C, 0x4B, 0xE8, 0xED, 0x0A, 0x49 ),
4171 BYTES_TO_T_UINT_8( 0x3D, 0x73, 0xCA, 0x0C, 0x46, 0x0A, 0x9C, 0xE4 ),
4172 BYTES_TO_T_UINT_8( 0x99, 0xE1, 0x9E, 0xBC, 0xFE, 0x44, 0x63, 0x6D ),
4173 BYTES_TO_T_UINT_8( 0x31, 0x43, 0x71, 0xEE, 0xF8, 0xC1, 0x8C, 0x5C ),
4174 BYTES_TO_T_UINT_8( 0x6A, 0x4B, 0xF0, 0x69, 0x25, 0xBD, 0x71, 0x1A ),
4175 BYTES_TO_T_UINT_8( 0xFD, 0x9A, 0xFE, 0x82, 0xE7, 0xC1, 0xC1, 0xEE ),
4176 BYTES_TO_T_UINT_8( 0xFC, 0x5A, 0x6E, 0x5E, 0x97, 0x6A, 0x35, 0x8D ),
4177};
4178static const mbedtls_mpi_uint brainpoolP512r1_T_15_Y[] = {
4179 BYTES_TO_T_UINT_8( 0xA2, 0x18, 0x6C, 0x7E, 0xB8, 0x9E, 0x57, 0x32 ),
4180 BYTES_TO_T_UINT_8( 0x35, 0xB9, 0xC1, 0xD0, 0xFE, 0x78, 0xFB, 0x32 ),
4181 BYTES_TO_T_UINT_8( 0x7C, 0x08, 0xAE, 0x46, 0x34, 0xEA, 0x7A, 0x7F ),
4182 BYTES_TO_T_UINT_8( 0xE8, 0x1C, 0x56, 0xA9, 0x18, 0x37, 0xD4, 0x9E ),
4183 BYTES_TO_T_UINT_8( 0x28, 0x63, 0xE9, 0x0A, 0xB6, 0x38, 0x3C, 0xC1 ),
4184 BYTES_TO_T_UINT_8( 0x3E, 0x4F, 0xA4, 0x6E, 0x85, 0x31, 0x23, 0x52 ),
4185 BYTES_TO_T_UINT_8( 0x0D, 0xAD, 0xC4, 0xC3, 0xB1, 0x4B, 0x1C, 0x82 ),
4186 BYTES_TO_T_UINT_8( 0x30, 0x56, 0x4A, 0x38, 0xB3, 0x6B, 0x6F, 0x2C ),
4187};
4188static const mbedtls_mpi_uint brainpoolP512r1_T_16_X[] = {
4189 BYTES_TO_T_UINT_8( 0x67, 0xC7, 0x19, 0xDE, 0x21, 0xED, 0x89, 0xD0 ),
4190 BYTES_TO_T_UINT_8( 0x2F, 0xBE, 0xA6, 0xAE, 0xEB, 0x9D, 0xA7, 0x2A ),
4191 BYTES_TO_T_UINT_8( 0x04, 0x0E, 0x13, 0x1E, 0x86, 0x57, 0xC3, 0x3B ),
4192 BYTES_TO_T_UINT_8( 0x1F, 0x4B, 0x30, 0x46, 0x52, 0xC1, 0xEC, 0x52 ),
4193 BYTES_TO_T_UINT_8( 0x6E, 0xD5, 0x44, 0x31, 0x96, 0x3B, 0x26, 0x27 ),
4194 BYTES_TO_T_UINT_8( 0x77, 0x68, 0xA8, 0x67, 0x78, 0x39, 0xE8, 0x68 ),
4195 BYTES_TO_T_UINT_8( 0x8E, 0x78, 0xB7, 0xDD, 0xF2, 0x58, 0xB6, 0x3D ),
4196 BYTES_TO_T_UINT_8( 0x81, 0x3C, 0xB3, 0x26, 0xC4, 0x2C, 0x8C, 0xA5 ),
4197};
4198static const mbedtls_mpi_uint brainpoolP512r1_T_16_Y[] = {
4199 BYTES_TO_T_UINT_8( 0xB9, 0x24, 0xE5, 0x73, 0xEE, 0x9A, 0x02, 0xA9 ),
4200 BYTES_TO_T_UINT_8( 0xD9, 0x6A, 0x65, 0x60, 0xF3, 0x62, 0xE3, 0xE9 ),
4201 BYTES_TO_T_UINT_8( 0xFB, 0x07, 0x84, 0xE6, 0x3B, 0x46, 0x65, 0x9F ),
4202 BYTES_TO_T_UINT_8( 0xE1, 0x8F, 0x0C, 0xB0, 0xE1, 0x04, 0x82, 0x9D ),
4203 BYTES_TO_T_UINT_8( 0xEB, 0x13, 0xBF, 0x3D, 0xA0, 0x48, 0xA2, 0x74 ),
4204 BYTES_TO_T_UINT_8( 0x08, 0x26, 0x76, 0x74, 0xAB, 0x0B, 0x29, 0xE8 ),
4205 BYTES_TO_T_UINT_8( 0x30, 0x6E, 0x5F, 0x03, 0x34, 0x7C, 0x38, 0xCE ),
4206 BYTES_TO_T_UINT_8( 0x4D, 0x72, 0xF9, 0x3B, 0x3C, 0xA4, 0xBC, 0x7C ),
4207};
4208static const mbedtls_mpi_uint brainpoolP512r1_T_17_X[] = {
4209 BYTES_TO_T_UINT_8( 0x5C, 0xCE, 0x18, 0x80, 0xB8, 0x24, 0x45, 0x81 ),
4210 BYTES_TO_T_UINT_8( 0xF1, 0x09, 0x03, 0xB8, 0x06, 0x64, 0xF7, 0xEC ),
4211 BYTES_TO_T_UINT_8( 0xF1, 0x26, 0xB1, 0x10, 0x6D, 0x71, 0x12, 0x2E ),
4212 BYTES_TO_T_UINT_8( 0xAD, 0x12, 0xC6, 0x6E, 0x1E, 0x6A, 0xC3, 0x80 ),
4213 BYTES_TO_T_UINT_8( 0xE5, 0xD3, 0x0A, 0xDE, 0xD8, 0x6B, 0x04, 0x5C ),
4214 BYTES_TO_T_UINT_8( 0x96, 0x87, 0x5B, 0xAE, 0xDB, 0x3C, 0xC0, 0xC5 ),
4215 BYTES_TO_T_UINT_8( 0x8E, 0xF5, 0xF9, 0xC1, 0x9A, 0x89, 0xBB, 0x7E ),
4216 BYTES_TO_T_UINT_8( 0xED, 0x69, 0x72, 0x8B, 0xAE, 0x32, 0x13, 0x11 ),
4217};
4218static const mbedtls_mpi_uint brainpoolP512r1_T_17_Y[] = {
4219 BYTES_TO_T_UINT_8( 0xF9, 0x16, 0x07, 0x50, 0xFA, 0x4C, 0xCF, 0xE8 ),
4220 BYTES_TO_T_UINT_8( 0xF8, 0x50, 0x21, 0xE9, 0xDE, 0xEC, 0x7E, 0xDF ),
4221 BYTES_TO_T_UINT_8( 0x7C, 0x2F, 0xE8, 0x83, 0x30, 0x0B, 0x65, 0x0E ),
4222 BYTES_TO_T_UINT_8( 0xA5, 0x0B, 0x99, 0xAC, 0xC9, 0xBA, 0x6C, 0x2A ),
4223 BYTES_TO_T_UINT_8( 0xA7, 0x59, 0x5A, 0x0D, 0x7B, 0x9E, 0x08, 0xAD ),
4224 BYTES_TO_T_UINT_8( 0x34, 0x91, 0xB2, 0xDC, 0x90, 0xCE, 0x67, 0xED ),
4225 BYTES_TO_T_UINT_8( 0xE3, 0x93, 0x60, 0x0C, 0xD7, 0x1F, 0x2F, 0x17 ),
4226 BYTES_TO_T_UINT_8( 0x19, 0x7F, 0x9D, 0x40, 0xF8, 0x78, 0x7A, 0x54 ),
4227};
4228static const mbedtls_mpi_uint brainpoolP512r1_T_18_X[] = {
4229 BYTES_TO_T_UINT_8( 0x13, 0x22, 0x95, 0xE8, 0xEF, 0x31, 0x57, 0x35 ),
4230 BYTES_TO_T_UINT_8( 0x2D, 0x88, 0x53, 0xFE, 0xAF, 0x7C, 0x47, 0x14 ),
4231 BYTES_TO_T_UINT_8( 0x0E, 0xCE, 0xCC, 0x79, 0xE8, 0x9F, 0x8C, 0xC4 ),
4232 BYTES_TO_T_UINT_8( 0xDB, 0x16, 0xDD, 0x77, 0x6E, 0x8A, 0x73, 0x97 ),
4233 BYTES_TO_T_UINT_8( 0xC0, 0x07, 0x97, 0x21, 0x3B, 0xF8, 0x5F, 0xA8 ),
4234 BYTES_TO_T_UINT_8( 0xC6, 0xB5, 0xD2, 0x81, 0x84, 0xF0, 0xE7, 0x9F ),
4235 BYTES_TO_T_UINT_8( 0xCB, 0x8F, 0x75, 0x09, 0x6A, 0x0E, 0x53, 0xAD ),
4236 BYTES_TO_T_UINT_8( 0xE6, 0x4F, 0x70, 0x97, 0xC7, 0xAC, 0x7D, 0x3F ),
4237};
4238static const mbedtls_mpi_uint brainpoolP512r1_T_18_Y[] = {
4239 BYTES_TO_T_UINT_8( 0xF9, 0x3C, 0x6A, 0xB4, 0x10, 0xA9, 0xC8, 0x1D ),
4240 BYTES_TO_T_UINT_8( 0xEE, 0xC5, 0xD6, 0x69, 0x16, 0xB8, 0xAC, 0x25 ),
4241 BYTES_TO_T_UINT_8( 0xAC, 0x44, 0xDC, 0xEB, 0x48, 0x54, 0x5D, 0x5F ),
4242 BYTES_TO_T_UINT_8( 0x6F, 0x48, 0x9B, 0xD7, 0x72, 0x69, 0xA4, 0x8A ),
4243 BYTES_TO_T_UINT_8( 0xB4, 0x0D, 0x36, 0x9A, 0x66, 0x0B, 0xEC, 0x24 ),
4244 BYTES_TO_T_UINT_8( 0xBE, 0xC6, 0xD4, 0xB6, 0x60, 0xE5, 0xC3, 0x3A ),
4245 BYTES_TO_T_UINT_8( 0xBA, 0x29, 0x42, 0xE0, 0x9D, 0xFD, 0x7C, 0x3E ),
4246 BYTES_TO_T_UINT_8( 0x43, 0x10, 0xBA, 0x55, 0xBC, 0x3B, 0x38, 0x5D ),
4247};
4248static const mbedtls_mpi_uint brainpoolP512r1_T_19_X[] = {
4249 BYTES_TO_T_UINT_8( 0x25, 0x66, 0xFA, 0x05, 0x73, 0x03, 0x1B, 0x69 ),
4250 BYTES_TO_T_UINT_8( 0x11, 0xA4, 0x66, 0x12, 0x96, 0x7B, 0x02, 0x4C ),
4251 BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xDE, 0x6D, 0x98, 0xD1, 0xD5, 0xA8 ),
4252 BYTES_TO_T_UINT_8( 0xE2, 0xF5, 0x44, 0xB8, 0x8E, 0xF6, 0x8C, 0x05 ),
4253 BYTES_TO_T_UINT_8( 0x68, 0x15, 0x2B, 0x72, 0xBC, 0x49, 0xE5, 0xDF ),
4254 BYTES_TO_T_UINT_8( 0x6C, 0x44, 0xD7, 0xDF, 0x8F, 0xEB, 0x8D, 0x80 ),
4255 BYTES_TO_T_UINT_8( 0x05, 0x64, 0x88, 0xAA, 0xB7, 0xE4, 0x70, 0x1D ),
4256 BYTES_TO_T_UINT_8( 0x9C, 0x14, 0xBB, 0xE9, 0x9B, 0xB9, 0x65, 0x5D ),
4257};
4258static const mbedtls_mpi_uint brainpoolP512r1_T_19_Y[] = {
4259 BYTES_TO_T_UINT_8( 0x66, 0x8E, 0x88, 0xF5, 0xF1, 0xC1, 0x89, 0xA2 ),
4260 BYTES_TO_T_UINT_8( 0x16, 0x30, 0x53, 0xE6, 0xFB, 0x2D, 0x82, 0xB4 ),
4261 BYTES_TO_T_UINT_8( 0xA7, 0xE4, 0xFF, 0xBA, 0x31, 0x79, 0xAB, 0xC2 ),
4262 BYTES_TO_T_UINT_8( 0x45, 0x09, 0xF7, 0xB7, 0x09, 0x78, 0x4C, 0x90 ),
4263 BYTES_TO_T_UINT_8( 0x10, 0xAE, 0xC2, 0x44, 0xDC, 0x17, 0x78, 0x47 ),
4264 BYTES_TO_T_UINT_8( 0xC7, 0xD4, 0x17, 0x43, 0x19, 0x74, 0x9E, 0x23 ),
4265 BYTES_TO_T_UINT_8( 0x15, 0x64, 0x3B, 0x73, 0xA2, 0x99, 0x27, 0x76 ),
4266 BYTES_TO_T_UINT_8( 0x05, 0x74, 0x36, 0x5F, 0xD3, 0x14, 0xB1, 0x31 ),
4267};
4268static const mbedtls_mpi_uint brainpoolP512r1_T_20_X[] = {
4269 BYTES_TO_T_UINT_8( 0xAC, 0x07, 0xAB, 0xFD, 0x9B, 0x03, 0xC5, 0xD5 ),
4270 BYTES_TO_T_UINT_8( 0xC7, 0xBE, 0xB0, 0x1D, 0xF2, 0x0C, 0x73, 0x73 ),
4271 BYTES_TO_T_UINT_8( 0x99, 0xE7, 0x7B, 0x87, 0xD3, 0x34, 0xFD, 0xE2 ),
4272 BYTES_TO_T_UINT_8( 0x9A, 0x25, 0x3D, 0xC7, 0x36, 0x83, 0x53, 0xDC ),
4273 BYTES_TO_T_UINT_8( 0x22, 0x7C, 0xCF, 0x63, 0x55, 0x12, 0x11, 0xB0 ),
4274 BYTES_TO_T_UINT_8( 0xC0, 0x34, 0x4D, 0x27, 0x92, 0xAC, 0x18, 0x16 ),
4275 BYTES_TO_T_UINT_8( 0x98, 0x42, 0x61, 0x9D, 0x2E, 0xFF, 0x13, 0x16 ),
4276 BYTES_TO_T_UINT_8( 0xF4, 0xDE, 0x92, 0x65, 0x57, 0x0D, 0xBC, 0x0A ),
4277};
4278static const mbedtls_mpi_uint brainpoolP512r1_T_20_Y[] = {
4279 BYTES_TO_T_UINT_8( 0xEF, 0x7B, 0x6E, 0xC6, 0x2A, 0x21, 0x74, 0x0A ),
4280 BYTES_TO_T_UINT_8( 0x37, 0xA7, 0x53, 0x4D, 0x29, 0x36, 0xEF, 0xE5 ),
4281 BYTES_TO_T_UINT_8( 0xE1, 0xD6, 0x41, 0xC7, 0x99, 0xAD, 0x50, 0x53 ),
4282 BYTES_TO_T_UINT_8( 0x99, 0xAC, 0x41, 0x9F, 0xFB, 0x4C, 0x86, 0xF1 ),
4283 BYTES_TO_T_UINT_8( 0x8B, 0xBB, 0xE6, 0x25, 0x28, 0xAA, 0xEB, 0x1E ),
4284 BYTES_TO_T_UINT_8( 0x92, 0x04, 0xA2, 0xC3, 0xAA, 0x08, 0x8A, 0xCC ),
4285 BYTES_TO_T_UINT_8( 0x5A, 0x2B, 0x5B, 0xE2, 0x8D, 0x76, 0xEA, 0x34 ),
4286 BYTES_TO_T_UINT_8( 0xB3, 0x33, 0xD2, 0x21, 0x4D, 0x62, 0xE3, 0x8E ),
4287};
4288static const mbedtls_mpi_uint brainpoolP512r1_T_21_X[] = {
4289 BYTES_TO_T_UINT_8( 0xF6, 0x06, 0x8B, 0x2B, 0xC2, 0xC4, 0xB1, 0xD2 ),
4290 BYTES_TO_T_UINT_8( 0xFA, 0xF5, 0xA1, 0xC0, 0x03, 0x6A, 0x29, 0x12 ),
4291 BYTES_TO_T_UINT_8( 0xF5, 0xA9, 0xEF, 0x55, 0xB6, 0x1A, 0x9F, 0x6B ),
4292 BYTES_TO_T_UINT_8( 0x9B, 0x54, 0x32, 0xBE, 0x06, 0x43, 0xB5, 0xFD ),
4293 BYTES_TO_T_UINT_8( 0xF7, 0xD6, 0xD9, 0x20, 0x89, 0xBE, 0xD4, 0x1B ),
4294 BYTES_TO_T_UINT_8( 0xE8, 0x26, 0x95, 0x10, 0xCE, 0xB4, 0x88, 0x79 ),
4295 BYTES_TO_T_UINT_8( 0xE6, 0xA6, 0x27, 0xAC, 0x32, 0xBA, 0xBD, 0xC7 ),
4296 BYTES_TO_T_UINT_8( 0xA3, 0xA6, 0xAE, 0x9C, 0x7B, 0xBE, 0xA1, 0x63 ),
4297};
4298static const mbedtls_mpi_uint brainpoolP512r1_T_21_Y[] = {
4299 BYTES_TO_T_UINT_8( 0x8B, 0xCD, 0x4D, 0x3D, 0xDF, 0x96, 0xBB, 0x7D ),
4300 BYTES_TO_T_UINT_8( 0x77, 0xA7, 0x11, 0x06, 0xCC, 0x0E, 0x31, 0x81 ),
4301 BYTES_TO_T_UINT_8( 0x20, 0xE4, 0xF4, 0xAD, 0x7B, 0x5F, 0xF1, 0xEF ),
4302 BYTES_TO_T_UINT_8( 0xE4, 0x54, 0xBE, 0xF4, 0x8A, 0x03, 0x47, 0xDF ),
4303 BYTES_TO_T_UINT_8( 0xB4, 0x53, 0x00, 0x7F, 0xB0, 0x8A, 0x68, 0xA6 ),
4304 BYTES_TO_T_UINT_8( 0xA0, 0x16, 0xB1, 0x73, 0x6F, 0x5B, 0x0E, 0xC3 ),
4305 BYTES_TO_T_UINT_8( 0x2A, 0x32, 0xE3, 0x43, 0x64, 0x75, 0xFB, 0xFB ),
4306 BYTES_TO_T_UINT_8( 0xA0, 0x18, 0x55, 0x8A, 0x4E, 0x6E, 0x35, 0x54 ),
4307};
4308static const mbedtls_mpi_uint brainpoolP512r1_T_22_X[] = {
4309 BYTES_TO_T_UINT_8( 0x80, 0x97, 0x15, 0x1E, 0xCB, 0xF2, 0x9C, 0xA5 ),
4310 BYTES_TO_T_UINT_8( 0x2B, 0xD1, 0xBB, 0xF3, 0x70, 0xAD, 0x13, 0xAD ),
4311 BYTES_TO_T_UINT_8( 0xD8, 0x96, 0xA4, 0xC5, 0x5E, 0xDA, 0xD5, 0x57 ),
4312 BYTES_TO_T_UINT_8( 0x07, 0x81, 0xE9, 0x65, 0x66, 0x76, 0x47, 0x45 ),
4313 BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x87, 0x06, 0x73, 0xCF, 0x34, 0xD2 ),
4314 BYTES_TO_T_UINT_8( 0x5A, 0x81, 0x15, 0x42, 0xA2, 0x79, 0x5B, 0x42 ),
4315 BYTES_TO_T_UINT_8( 0x08, 0xA2, 0x7D, 0x09, 0x14, 0x64, 0xC6, 0xAE ),
4316 BYTES_TO_T_UINT_8( 0x5E, 0x6D, 0xC4, 0xED, 0xF1, 0xD6, 0xE9, 0x24 ),
4317};
4318static const mbedtls_mpi_uint brainpoolP512r1_T_22_Y[] = {
4319 BYTES_TO_T_UINT_8( 0xB4, 0xD5, 0xBB, 0x25, 0xA3, 0xDD, 0xA3, 0x88 ),
4320 BYTES_TO_T_UINT_8( 0x46, 0xF2, 0x68, 0x67, 0x39, 0x8F, 0x73, 0x93 ),
4321 BYTES_TO_T_UINT_8( 0xF0, 0x76, 0x28, 0x89, 0xAD, 0x32, 0xE0, 0xDF ),
4322 BYTES_TO_T_UINT_8( 0xF8, 0x90, 0xCC, 0x57, 0x58, 0xAA, 0xC9, 0x75 ),
4323 BYTES_TO_T_UINT_8( 0x5E, 0xD7, 0x43, 0xD2, 0xCE, 0x5E, 0xA0, 0x08 ),
4324 BYTES_TO_T_UINT_8( 0x33, 0xB0, 0xB8, 0xA4, 0x9E, 0x96, 0x26, 0x86 ),
4325 BYTES_TO_T_UINT_8( 0x94, 0x61, 0x1D, 0xF3, 0x65, 0x5E, 0x60, 0xCA ),
4326 BYTES_TO_T_UINT_8( 0xC7, 0x1E, 0x65, 0xED, 0xCF, 0x07, 0x60, 0x20 ),
4327};
4328static const mbedtls_mpi_uint brainpoolP512r1_T_23_X[] = {
4329 BYTES_TO_T_UINT_8( 0xA4, 0x30, 0x17, 0x8A, 0x91, 0x88, 0x0A, 0xA4 ),
4330 BYTES_TO_T_UINT_8( 0x05, 0x7D, 0x18, 0xA4, 0xAC, 0x59, 0xFC, 0x5F ),
4331 BYTES_TO_T_UINT_8( 0xA4, 0x31, 0x8B, 0x25, 0x65, 0x39, 0x9A, 0xDC ),
4332 BYTES_TO_T_UINT_8( 0x15, 0x16, 0x4B, 0x68, 0xBA, 0x59, 0x13, 0x2F ),
4333 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xD3, 0xC5, 0x56, 0xC9, 0x8C, 0x5E ),
4334 BYTES_TO_T_UINT_8( 0xBC, 0xC6, 0x9F, 0xF4, 0xE6, 0xF7, 0xB4, 0x01 ),
4335 BYTES_TO_T_UINT_8( 0x2D, 0x7C, 0x03, 0x00, 0x26, 0x9F, 0xD8, 0x7B ),
4336 BYTES_TO_T_UINT_8( 0x24, 0x1D, 0x6E, 0x00, 0xB9, 0x00, 0x6E, 0x93 ),
4337};
4338static const mbedtls_mpi_uint brainpoolP512r1_T_23_Y[] = {
4339 BYTES_TO_T_UINT_8( 0x75, 0x63, 0xDA, 0x03, 0x2B, 0xD5, 0x0B, 0xFE ),
4340 BYTES_TO_T_UINT_8( 0x46, 0xFC, 0xE2, 0xC8, 0x47, 0xF0, 0xAE, 0xF2 ),
4341 BYTES_TO_T_UINT_8( 0x51, 0x4C, 0xF7, 0x50, 0x0C, 0x48, 0x06, 0x2A ),
4342 BYTES_TO_T_UINT_8( 0xDF, 0x2B, 0x32, 0x98, 0x0E, 0x7E, 0x61, 0x41 ),
4343 BYTES_TO_T_UINT_8( 0x5D, 0x02, 0x27, 0xFE, 0x75, 0x86, 0xDF, 0x24 ),
4344 BYTES_TO_T_UINT_8( 0x2B, 0x30, 0xB1, 0x22, 0x32, 0x1B, 0xFE, 0x24 ),
4345 BYTES_TO_T_UINT_8( 0xC2, 0x27, 0xF7, 0x78, 0x6F, 0xD7, 0xFD, 0xE4 ),
4346 BYTES_TO_T_UINT_8( 0xA0, 0x78, 0xCC, 0xEA, 0xC0, 0x50, 0x24, 0x44 ),
4347};
4348static const mbedtls_mpi_uint brainpoolP512r1_T_24_X[] = {
4349 BYTES_TO_T_UINT_8( 0x37, 0x2B, 0x4F, 0x7F, 0x58, 0xE6, 0xC2, 0x70 ),
4350 BYTES_TO_T_UINT_8( 0x37, 0x43, 0xD5, 0xA7, 0x35, 0x3C, 0x80, 0xB8 ),
4351 BYTES_TO_T_UINT_8( 0x1A, 0x6D, 0x4B, 0x12, 0x00, 0x7B, 0xE6, 0xA6 ),
4352 BYTES_TO_T_UINT_8( 0x37, 0x15, 0xBD, 0xD0, 0x9B, 0xCA, 0xAA, 0x81 ),
4353 BYTES_TO_T_UINT_8( 0xCF, 0xCE, 0x9C, 0xE3, 0x8B, 0x60, 0x7A, 0x53 ),
4354 BYTES_TO_T_UINT_8( 0x0C, 0xDA, 0x4B, 0x03, 0xA7, 0x8D, 0x43, 0x22 ),
4355 BYTES_TO_T_UINT_8( 0x57, 0xAF, 0x00, 0x2B, 0x32, 0xF0, 0x22, 0x68 ),
4356 BYTES_TO_T_UINT_8( 0xDC, 0xD9, 0x99, 0x99, 0xBE, 0x43, 0x99, 0x3E ),
4357};
4358static const mbedtls_mpi_uint brainpoolP512r1_T_24_Y[] = {
4359 BYTES_TO_T_UINT_8( 0x1F, 0x71, 0x41, 0xF4, 0xB5, 0xFD, 0xDD, 0x36 ),
4360 BYTES_TO_T_UINT_8( 0x9D, 0xE2, 0x20, 0x4C, 0xD1, 0x2E, 0x1F, 0x06 ),
4361 BYTES_TO_T_UINT_8( 0x96, 0x43, 0x48, 0x76, 0x8A, 0x49, 0xAC, 0x87 ),
4362 BYTES_TO_T_UINT_8( 0x0C, 0x1A, 0x55, 0xA8, 0xA3, 0xD4, 0x57, 0x75 ),
4363 BYTES_TO_T_UINT_8( 0x7C, 0xA6, 0x84, 0x39, 0xC9, 0x13, 0xBB, 0x60 ),
4364 BYTES_TO_T_UINT_8( 0xD9, 0xFA, 0xA9, 0x70, 0xDE, 0x83, 0xDD, 0xC9 ),
4365 BYTES_TO_T_UINT_8( 0xEC, 0xC9, 0xD9, 0x3E, 0x44, 0x91, 0x68, 0x7B ),
4366 BYTES_TO_T_UINT_8( 0xB6, 0x9F, 0x85, 0x6D, 0xF7, 0x54, 0x36, 0x82 ),
4367};
4368static const mbedtls_mpi_uint brainpoolP512r1_T_25_X[] = {
4369 BYTES_TO_T_UINT_8( 0x68, 0x6B, 0xA6, 0xA3, 0xE5, 0xD4, 0x46, 0xDB ),
4370 BYTES_TO_T_UINT_8( 0x23, 0x3E, 0xDC, 0x84, 0x7C, 0x7B, 0x24, 0x34 ),
4371 BYTES_TO_T_UINT_8( 0x14, 0xED, 0x7F, 0x86, 0x07, 0x6C, 0x57, 0xCA ),
4372 BYTES_TO_T_UINT_8( 0x95, 0x06, 0xFE, 0x52, 0x12, 0x79, 0x69, 0x56 ),
4373 BYTES_TO_T_UINT_8( 0x84, 0xD1, 0x44, 0x5F, 0x21, 0x3A, 0xC3, 0x84 ),
4374 BYTES_TO_T_UINT_8( 0x5E, 0xD9, 0x4A, 0xC0, 0x75, 0xAB, 0x17, 0xAC ),
4375 BYTES_TO_T_UINT_8( 0xFF, 0x81, 0x94, 0xB6, 0x80, 0x6B, 0x6F, 0xC3 ),
4376 BYTES_TO_T_UINT_8( 0x07, 0xBE, 0x8E, 0xA5, 0xAA, 0xBC, 0x1E, 0x3E ),
4377};
4378static const mbedtls_mpi_uint brainpoolP512r1_T_25_Y[] = {
4379 BYTES_TO_T_UINT_8( 0x89, 0xC7, 0x85, 0xA6, 0x59, 0x9B, 0xB1, 0x52 ),
4380 BYTES_TO_T_UINT_8( 0x1C, 0xCE, 0x40, 0xD1, 0xFB, 0xDF, 0x94, 0xF7 ),
4381 BYTES_TO_T_UINT_8( 0x18, 0xB8, 0x5E, 0xBF, 0x45, 0xA8, 0x2D, 0x2D ),
4382 BYTES_TO_T_UINT_8( 0x98, 0x9C, 0x06, 0x1B, 0xA9, 0x57, 0xB9, 0x79 ),
4383 BYTES_TO_T_UINT_8( 0x53, 0xE9, 0xCE, 0xA2, 0xD3, 0x74, 0xA1, 0x3C ),
4384 BYTES_TO_T_UINT_8( 0xAA, 0x5F, 0x34, 0x78, 0xDB, 0xAE, 0x3A, 0x14 ),
4385 BYTES_TO_T_UINT_8( 0x7D, 0x32, 0x84, 0x3E, 0x68, 0x6A, 0x43, 0x0F ),
4386 BYTES_TO_T_UINT_8( 0x8C, 0xBC, 0x39, 0x36, 0xA4, 0xC5, 0xBB, 0x11 ),
4387};
4388static const mbedtls_mpi_uint brainpoolP512r1_T_26_X[] = {
4389 BYTES_TO_T_UINT_8( 0x8C, 0x07, 0xA2, 0xB5, 0xC9, 0x0F, 0x4D, 0x0F ),
4390 BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0x67, 0xE6, 0xF1, 0x46, 0xEB, 0x71 ),
4391 BYTES_TO_T_UINT_8( 0xD7, 0x41, 0x23, 0x95, 0xE7, 0xE0, 0x10, 0xDD ),
4392 BYTES_TO_T_UINT_8( 0xBE, 0x69, 0xFE, 0x68, 0x8C, 0xC6, 0x5F, 0xB6 ),
4393 BYTES_TO_T_UINT_8( 0xE3, 0xB9, 0x2B, 0x3D, 0xD2, 0x4F, 0xD8, 0x1A ),
4394 BYTES_TO_T_UINT_8( 0xA3, 0x09, 0xF5, 0x5F, 0xCF, 0xF6, 0x91, 0x57 ),
4395 BYTES_TO_T_UINT_8( 0x65, 0x15, 0x42, 0x6B, 0x6D, 0xB5, 0xF3, 0xB6 ),
4396 BYTES_TO_T_UINT_8( 0xBF, 0x56, 0x9D, 0xC5, 0xFF, 0xCA, 0x13, 0x9B ),
4397};
4398static const mbedtls_mpi_uint brainpoolP512r1_T_26_Y[] = {
4399 BYTES_TO_T_UINT_8( 0x4D, 0x38, 0xE6, 0x23, 0x63, 0x48, 0x3C, 0xCA ),
4400 BYTES_TO_T_UINT_8( 0xD2, 0x68, 0x3C, 0xD1, 0x3B, 0xE9, 0x3B, 0x82 ),
4401 BYTES_TO_T_UINT_8( 0xB5, 0x08, 0x54, 0x49, 0xD1, 0x46, 0x45, 0x13 ),
4402 BYTES_TO_T_UINT_8( 0x07, 0x70, 0x52, 0x6E, 0x79, 0xC4, 0x5E, 0x95 ),
4403 BYTES_TO_T_UINT_8( 0x36, 0xDF, 0xE8, 0x5A, 0x32, 0x81, 0xDA, 0xD3 ),
4404 BYTES_TO_T_UINT_8( 0x3C, 0x2D, 0x94, 0x5B, 0xB5, 0x35, 0x9F, 0x0A ),
4405 BYTES_TO_T_UINT_8( 0x2A, 0x12, 0x8D, 0xC3, 0x36, 0x36, 0xB2, 0x2A ),
4406 BYTES_TO_T_UINT_8( 0x39, 0x2F, 0x22, 0x38, 0x5B, 0x18, 0x4C, 0x35 ),
4407};
4408static const mbedtls_mpi_uint brainpoolP512r1_T_27_X[] = {
4409 BYTES_TO_T_UINT_8( 0x10, 0xC1, 0x22, 0x0E, 0xF0, 0x73, 0x11, 0x05 ),
4410 BYTES_TO_T_UINT_8( 0xB2, 0xAE, 0xA4, 0x56, 0x18, 0x61, 0x66, 0x12 ),
4411 BYTES_TO_T_UINT_8( 0x79, 0xFB, 0x72, 0x08, 0x84, 0x38, 0x51, 0xB0 ),
4412 BYTES_TO_T_UINT_8( 0xDA, 0x86, 0xA8, 0xB9, 0x31, 0x99, 0x29, 0xC3 ),
4413 BYTES_TO_T_UINT_8( 0x8A, 0xFB, 0xC3, 0x42, 0xB3, 0xC7, 0x6F, 0x3A ),
4414 BYTES_TO_T_UINT_8( 0xD8, 0xF8, 0xE1, 0x09, 0xBE, 0x75, 0xB0, 0x22 ),
4415 BYTES_TO_T_UINT_8( 0x5A, 0x7D, 0xFF, 0xF4, 0x99, 0xFC, 0x13, 0xAB ),
4416 BYTES_TO_T_UINT_8( 0xE6, 0x1B, 0x84, 0x81, 0x42, 0x22, 0xC6, 0x3D ),
4417};
4418static const mbedtls_mpi_uint brainpoolP512r1_T_27_Y[] = {
4419 BYTES_TO_T_UINT_8( 0x21, 0xE0, 0x37, 0xA4, 0xA0, 0x2F, 0x38, 0x7F ),
4420 BYTES_TO_T_UINT_8( 0xD0, 0x3D, 0xB7, 0x40, 0x2F, 0x39, 0x3C, 0x7A ),
4421 BYTES_TO_T_UINT_8( 0x7A, 0x3B, 0x8A, 0x51, 0xAE, 0x40, 0x49, 0x7A ),
4422 BYTES_TO_T_UINT_8( 0x36, 0x20, 0x9F, 0xDD, 0xA9, 0xD0, 0x77, 0xC7 ),
4423 BYTES_TO_T_UINT_8( 0x78, 0x1D, 0x64, 0xDA, 0xA0, 0x53, 0xC7, 0x7D ),
4424 BYTES_TO_T_UINT_8( 0x37, 0x7B, 0x66, 0x55, 0x94, 0xD1, 0x51, 0x44 ),
4425 BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xB5, 0x5B, 0x38, 0x35, 0x40, 0xC0 ),
4426 BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0x0F, 0xF0, 0x73, 0x79, 0x43, 0x61 ),
4427};
4428static const mbedtls_mpi_uint brainpoolP512r1_T_28_X[] = {
4429 BYTES_TO_T_UINT_8( 0x10, 0x47, 0x45, 0x69, 0x80, 0x72, 0x72, 0x42 ),
4430 BYTES_TO_T_UINT_8( 0x70, 0x11, 0x99, 0x59, 0xDB, 0x48, 0x80, 0x39 ),
4431 BYTES_TO_T_UINT_8( 0x75, 0x6E, 0x3D, 0xFC, 0x37, 0x15, 0xF4, 0xBF ),
4432 BYTES_TO_T_UINT_8( 0x17, 0xBB, 0x5B, 0xA6, 0x35, 0x8D, 0x28, 0x20 ),
4433 BYTES_TO_T_UINT_8( 0xAB, 0x1A, 0x3B, 0x2C, 0x8F, 0xD3, 0xAA, 0x2D ),
4434 BYTES_TO_T_UINT_8( 0x55, 0x1C, 0x1A, 0xF8, 0x02, 0xD9, 0x7B, 0x41 ),
4435 BYTES_TO_T_UINT_8( 0xAF, 0x69, 0xAC, 0xF8, 0x54, 0x31, 0x14, 0xA1 ),
4436 BYTES_TO_T_UINT_8( 0x41, 0x8A, 0xE6, 0xDE, 0x58, 0xB9, 0xC4, 0x7A ),
4437};
4438static const mbedtls_mpi_uint brainpoolP512r1_T_28_Y[] = {
4439 BYTES_TO_T_UINT_8( 0x57, 0x83, 0x52, 0xFE, 0xF9, 0x7B, 0xE9, 0x1F ),
4440 BYTES_TO_T_UINT_8( 0x07, 0xA2, 0x55, 0x46, 0x15, 0x49, 0xC1, 0x3A ),
4441 BYTES_TO_T_UINT_8( 0x1D, 0xBC, 0x5C, 0x91, 0xBD, 0xB9, 0x9C, 0xF4 ),
4442 BYTES_TO_T_UINT_8( 0xBB, 0xFD, 0xB1, 0x4E, 0x5F, 0x74, 0xEE, 0x53 ),
4443 BYTES_TO_T_UINT_8( 0xB1, 0x8B, 0xD8, 0x8B, 0x17, 0x73, 0x1B, 0x96 ),
4444 BYTES_TO_T_UINT_8( 0x22, 0x92, 0xD7, 0x67, 0x06, 0xAD, 0x25, 0xCD ),
4445 BYTES_TO_T_UINT_8( 0x01, 0x0F, 0x80, 0x24, 0xE2, 0x27, 0x5F, 0x8B ),
4446 BYTES_TO_T_UINT_8( 0x61, 0x1C, 0xCE, 0xD0, 0x67, 0xCA, 0xD4, 0x0B ),
4447};
4448static const mbedtls_mpi_uint brainpoolP512r1_T_29_X[] = {
4449 BYTES_TO_T_UINT_8( 0x87, 0xF1, 0xDD, 0x33, 0x66, 0xF9, 0x05, 0xD6 ),
4450 BYTES_TO_T_UINT_8( 0x1D, 0xE5, 0x6B, 0x79, 0xBD, 0x48, 0x42, 0xAA ),
4451 BYTES_TO_T_UINT_8( 0xD1, 0x14, 0x52, 0xE3, 0x53, 0xB4, 0x50, 0xD4 ),
4452 BYTES_TO_T_UINT_8( 0x32, 0x84, 0x6C, 0xCF, 0xDA, 0xB2, 0x20, 0x0A ),
4453 BYTES_TO_T_UINT_8( 0x70, 0xD6, 0x1A, 0xE5, 0xE2, 0x29, 0x70, 0xCE ),
4454 BYTES_TO_T_UINT_8( 0xD5, 0x61, 0xFE, 0xBB, 0x21, 0x82, 0xD1, 0xFE ),
4455 BYTES_TO_T_UINT_8( 0x2C, 0xF0, 0x9C, 0x8B, 0x1A, 0x42, 0x30, 0x06 ),
4456 BYTES_TO_T_UINT_8( 0x43, 0xD6, 0x49, 0x81, 0x92, 0xF1, 0xD0, 0x90 ),
4457};
4458static const mbedtls_mpi_uint brainpoolP512r1_T_29_Y[] = {
4459 BYTES_TO_T_UINT_8( 0xC9, 0x91, 0x93, 0x6A, 0xA6, 0x22, 0xE9, 0xD6 ),
4460 BYTES_TO_T_UINT_8( 0x09, 0xDC, 0xC3, 0x69, 0x11, 0x95, 0x7D, 0xEC ),
4461 BYTES_TO_T_UINT_8( 0x1C, 0xA3, 0x9D, 0x87, 0x5E, 0x64, 0x41, 0xA2 ),
4462 BYTES_TO_T_UINT_8( 0xBE, 0x87, 0x5A, 0x15, 0xBD, 0x6E, 0x3C, 0x8D ),
4463 BYTES_TO_T_UINT_8( 0xD0, 0x8D, 0x50, 0xCC, 0xCF, 0xB7, 0x8F, 0x0B ),
4464 BYTES_TO_T_UINT_8( 0x38, 0x65, 0xCD, 0x31, 0x30, 0xF1, 0x68, 0x13 ),
4465 BYTES_TO_T_UINT_8( 0x10, 0x5C, 0x66, 0x67, 0x92, 0x30, 0x57, 0x95 ),
4466 BYTES_TO_T_UINT_8( 0x23, 0x9B, 0x01, 0x3D, 0x20, 0x8B, 0xD1, 0x0D ),
4467};
4468static const mbedtls_mpi_uint brainpoolP512r1_T_30_X[] = {
4469 BYTES_TO_T_UINT_8( 0xAB, 0xC0, 0xE6, 0x4F, 0xDE, 0x62, 0xAB, 0xB3 ),
4470 BYTES_TO_T_UINT_8( 0xA4, 0x48, 0xB3, 0x1C, 0x0F, 0x16, 0x93, 0x45 ),
4471 BYTES_TO_T_UINT_8( 0x77, 0x63, 0xBD, 0x1F, 0x16, 0x50, 0x56, 0x98 ),
4472 BYTES_TO_T_UINT_8( 0x5D, 0x06, 0xBC, 0xE9, 0x27, 0x1C, 0x9A, 0x7B ),
4473 BYTES_TO_T_UINT_8( 0xF8, 0xFE, 0x21, 0xC5, 0x39, 0x55, 0xE1, 0xFD ),
4474 BYTES_TO_T_UINT_8( 0xF6, 0xA8, 0xD0, 0x96, 0x0E, 0xB5, 0xB2, 0x84 ),
4475 BYTES_TO_T_UINT_8( 0x3D, 0xE7, 0x4B, 0xF3, 0x11, 0x0C, 0xC9, 0x5B ),
4476 BYTES_TO_T_UINT_8( 0x43, 0x3A, 0xC4, 0x87, 0x71, 0xEE, 0xFA, 0x18 ),
4477};
4478static const mbedtls_mpi_uint brainpoolP512r1_T_30_Y[] = {
4479 BYTES_TO_T_UINT_8( 0xA7, 0x77, 0xEE, 0x81, 0x5E, 0x96, 0xEA, 0x4B ),
4480 BYTES_TO_T_UINT_8( 0xEE, 0xDF, 0xA9, 0xF4, 0x4F, 0x7C, 0xB2, 0x43 ),
4481 BYTES_TO_T_UINT_8( 0x9F, 0xD4, 0xDF, 0x35, 0x63, 0x47, 0x25, 0x8A ),
4482 BYTES_TO_T_UINT_8( 0xA5, 0x3D, 0xFF, 0xA4, 0x02, 0xC3, 0x95, 0x11 ),
4483 BYTES_TO_T_UINT_8( 0xD5, 0x10, 0x78, 0xD1, 0x2B, 0xB7, 0xBE, 0x0E ),
4484 BYTES_TO_T_UINT_8( 0x0A, 0xE9, 0x57, 0xF9, 0xE0, 0xD8, 0xFC, 0xBC ),
4485 BYTES_TO_T_UINT_8( 0xF3, 0xC4, 0x01, 0xD6, 0xB4, 0xE7, 0x78, 0xE2 ),
4486 BYTES_TO_T_UINT_8( 0x02, 0x6C, 0xB9, 0x13, 0xA4, 0xE8, 0x6D, 0x6F ),
4487};
4488static const mbedtls_mpi_uint brainpoolP512r1_T_31_X[] = {
4489 BYTES_TO_T_UINT_8( 0xE8, 0xB0, 0xC9, 0xCD, 0xBF, 0xA2, 0x1E, 0x63 ),
4490 BYTES_TO_T_UINT_8( 0xDD, 0x4F, 0x86, 0x22, 0x9B, 0xEA, 0xE8, 0xBB ),
4491 BYTES_TO_T_UINT_8( 0x50, 0x46, 0xDF, 0x43, 0xB9, 0x82, 0x2D, 0x0A ),
4492 BYTES_TO_T_UINT_8( 0x07, 0x32, 0xF1, 0x4E, 0x95, 0x41, 0xAE, 0x8E ),
4493 BYTES_TO_T_UINT_8( 0x52, 0x93, 0x26, 0xFC, 0xD3, 0x90, 0xDC, 0xEB ),
4494 BYTES_TO_T_UINT_8( 0x04, 0x05, 0x45, 0xCA, 0xF9, 0x5A, 0x89, 0x93 ),
4495 BYTES_TO_T_UINT_8( 0xC5, 0x82, 0x63, 0x4E, 0x55, 0x1D, 0x3A, 0x08 ),
4496 BYTES_TO_T_UINT_8( 0x7C, 0x69, 0x52, 0x49, 0xE9, 0xED, 0x57, 0x34 ),
4497};
4498static const mbedtls_mpi_uint brainpoolP512r1_T_31_Y[] = {
4499 BYTES_TO_T_UINT_8( 0x70, 0x64, 0xE9, 0xAC, 0x4C, 0x4A, 0xEA, 0x25 ),
4500 BYTES_TO_T_UINT_8( 0xE9, 0xE9, 0x0B, 0x99, 0xE7, 0xF9, 0xA9, 0x2C ),
4501 BYTES_TO_T_UINT_8( 0x24, 0x0C, 0xC1, 0xF4, 0x8D, 0x07, 0xB6, 0xB1 ),
4502 BYTES_TO_T_UINT_8( 0xAD, 0x68, 0xFA, 0x35, 0xE4, 0x9E, 0xAE, 0xD9 ),
4503 BYTES_TO_T_UINT_8( 0xF0, 0x2D, 0x1A, 0x13, 0x8E, 0x02, 0xE2, 0x63 ),
4504 BYTES_TO_T_UINT_8( 0x27, 0x38, 0x28, 0x86, 0x46, 0x7B, 0x3A, 0xE1 ),
4505 BYTES_TO_T_UINT_8( 0x3F, 0x4C, 0x64, 0x59, 0x0A, 0xF9, 0x02, 0xC4 ),
4506 BYTES_TO_T_UINT_8( 0x41, 0x4F, 0x23, 0xA2, 0xC3, 0xD5, 0xEF, 0x42 ),
4507};
4508static const mbedtls_ecp_point brainpoolP512r1_T[32] = {
4509 ECP_POINT_INIT_XY_Z1(brainpoolP512r1_T_0_X, brainpoolP512r1_T_0_Y),
4510 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_1_X, brainpoolP512r1_T_1_Y),
4511 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_2_X, brainpoolP512r1_T_2_Y),
4512 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_3_X, brainpoolP512r1_T_3_Y),
4513 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_4_X, brainpoolP512r1_T_4_Y),
4514 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_5_X, brainpoolP512r1_T_5_Y),
4515 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_6_X, brainpoolP512r1_T_6_Y),
4516 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_7_X, brainpoolP512r1_T_7_Y),
4517 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_8_X, brainpoolP512r1_T_8_Y),
4518 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_9_X, brainpoolP512r1_T_9_Y),
4519 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_10_X, brainpoolP512r1_T_10_Y),
4520 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_11_X, brainpoolP512r1_T_11_Y),
4521 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_12_X, brainpoolP512r1_T_12_Y),
4522 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_13_X, brainpoolP512r1_T_13_Y),
4523 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_14_X, brainpoolP512r1_T_14_Y),
4524 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_15_X, brainpoolP512r1_T_15_Y),
4525 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_16_X, brainpoolP512r1_T_16_Y),
4526 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_17_X, brainpoolP512r1_T_17_Y),
4527 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_18_X, brainpoolP512r1_T_18_Y),
4528 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_19_X, brainpoolP512r1_T_19_Y),
4529 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_20_X, brainpoolP512r1_T_20_Y),
4530 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_21_X, brainpoolP512r1_T_21_Y),
4531 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_22_X, brainpoolP512r1_T_22_Y),
4532 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_23_X, brainpoolP512r1_T_23_Y),
4533 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_24_X, brainpoolP512r1_T_24_Y),
4534 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_25_X, brainpoolP512r1_T_25_Y),
4535 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_26_X, brainpoolP512r1_T_26_Y),
4536 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_27_X, brainpoolP512r1_T_27_Y),
4537 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_28_X, brainpoolP512r1_T_28_Y),
4538 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_29_X, brainpoolP512r1_T_29_Y),
4539 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_30_X, brainpoolP512r1_T_30_Y),
4540 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_31_X, brainpoolP512r1_T_31_Y),
4541};
4542#else
4543#define brainpoolP512r1_T NULL
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004544#endif
kXuanba9cb762021-04-08 14:32:06 +08004545#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004546
4547#if defined(ECP_LOAD_GROUP)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004548/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004549 * Create an MPI from embedded constants
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004550 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004551 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004552static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004553{
4554 X->s = 1;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004555 X->n = len / sizeof( mbedtls_mpi_uint );
4556 X->p = (mbedtls_mpi_uint *) p;
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004557}
4558
4559/*
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004560 * Set an MPI to static value 1
4561 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004562static inline void ecp_mpi_set1( mbedtls_mpi *X )
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004563{
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004564 X->s = 1;
4565 X->n = 1;
kXuanba9cb762021-04-08 14:32:06 +08004566 X->p = mpi_one;
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004567}
4568
4569/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004570 * Make group available from embedded constants
4571 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004572static int ecp_group_load( mbedtls_ecp_group *grp,
4573 const mbedtls_mpi_uint *p, size_t plen,
4574 const mbedtls_mpi_uint *a, size_t alen,
4575 const mbedtls_mpi_uint *b, size_t blen,
4576 const mbedtls_mpi_uint *gx, size_t gxlen,
4577 const mbedtls_mpi_uint *gy, size_t gylen,
kXuanba9cb762021-04-08 14:32:06 +08004578 const mbedtls_mpi_uint *n, size_t nlen,
4579 const mbedtls_ecp_point *T)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004580{
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004581 ecp_mpi_load( &grp->P, p, plen );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004582 if( a != NULL )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004583 ecp_mpi_load( &grp->A, a, alen );
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004584 ecp_mpi_load( &grp->B, b, blen );
4585 ecp_mpi_load( &grp->N, n, nlen );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004586
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004587 ecp_mpi_load( &grp->G.X, gx, gxlen );
4588 ecp_mpi_load( &grp->G.Y, gy, gylen );
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004589 ecp_mpi_set1( &grp->G.Z );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004590
Manuel Pégourié-Gonnardc0696c22015-06-18 16:47:17 +02004591 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
4592 grp->nbits = mbedtls_mpi_bitlen( &grp->N );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004593
Manuel Pégourié-Gonnard1f82b042013-12-06 12:51:50 +01004594 grp->h = 1;
4595
kXuanba9cb762021-04-08 14:32:06 +08004596 grp->T = (mbedtls_ecp_point *) T;
4597 /*
4598 * Set T_size to 0 to prevent T free by mbedtls_ecp_group_free.
4599 */
4600 grp->T_size = 0;
4601
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004602 return( 0 );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004603}
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004604#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004605
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004606#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004607/* Forward declarations */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004608#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4609static int ecp_mod_p192( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004610#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004611#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4612static int ecp_mod_p224( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004613#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004614#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4615static int ecp_mod_p256( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004616#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004617#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4618static int ecp_mod_p384( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004619#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004620#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4621static int ecp_mod_p521( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004622#endif
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004623
4624#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
4625#else
4626#define NIST_MODP( P )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004627#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004628
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004629/* Additional forward declarations */
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004630#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004631static int ecp_mod_p255( mbedtls_mpi * );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004632#endif
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004633#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4634static int ecp_mod_p448( mbedtls_mpi * );
4635#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004636#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4637static int ecp_mod_p192k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004638#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004639#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4640static int ecp_mod_p224k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004641#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004642#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4643static int ecp_mod_p256k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004644#endif
4645
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004646#if defined(ECP_LOAD_GROUP)
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004647#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
4648 G ## _p, sizeof( G ## _p ), \
4649 G ## _a, sizeof( G ## _a ), \
4650 G ## _b, sizeof( G ## _b ), \
4651 G ## _gx, sizeof( G ## _gx ), \
4652 G ## _gy, sizeof( G ## _gy ), \
kXuanba9cb762021-04-08 14:32:06 +08004653 G ## _n, sizeof( G ## _n ), \
4654 G ## _T \
4655 )
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004656
4657#define LOAD_GROUP( G ) ecp_group_load( grp, \
4658 G ## _p, sizeof( G ## _p ), \
4659 NULL, 0, \
4660 G ## _b, sizeof( G ## _b ), \
4661 G ## _gx, sizeof( G ## _gx ), \
4662 G ## _gy, sizeof( G ## _gy ), \
kXuanba9cb762021-04-08 14:32:06 +08004663 G ## _n, sizeof( G ## _n ), \
4664 G ## _T \
4665 )
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004666#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004667
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004668#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004669/* Constants used by ecp_use_curve25519() */
4670static const unsigned char curve25519_a24[] = { 0x01, 0xDB, 0x42 };
4671static const unsigned char curve25519_part_of_n[] = {
4672 0x14, 0xDE, 0xF9, 0xDE, 0xA2, 0xF7, 0x9C, 0xD6,
4673 0x58, 0x12, 0x63, 0x1A, 0x5C, 0xF5, 0xD3, 0xED,
4674};
4675
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004676/*
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004677 * Specialized function for creating the Curve25519 group
4678 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004679static int ecp_use_curve25519( mbedtls_ecp_group *grp )
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004680{
Janos Follath24eed8d2019-11-22 13:21:35 +00004681 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004682
4683 /* Actually ( A + 2 ) / 4 */
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004684 MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &grp->A,
4685 curve25519_a24, sizeof( curve25519_a24 ) ) );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004686
4687 /* P = 2^255 - 19 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004688 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4689 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
4690 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
Manuel Pégourié-Gonnardc0696c22015-06-18 16:47:17 +02004691 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004692
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004693 /* N = 2^252 + 27742317777372353535851937790883648493 */
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004694 MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &grp->N,
4695 curve25519_part_of_n, sizeof( curve25519_part_of_n ) ) );
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004696 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
4697
Manuel Pégourié-Gonnard18b78432018-03-28 11:14:06 +02004698 /* Y intentionally not set, since we use x/z coordinates.
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004699 * This is used as a marker to identify Montgomery curves! */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004700 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
4701 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4702 mbedtls_mpi_free( &grp->G.Y );
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004703
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004704 /* Actually, the required msb for private keys */
4705 grp->nbits = 254;
4706
4707cleanup:
4708 if( ret != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004709 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004710
4711 return( ret );
4712}
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +02004713
4714/*
4715 * Constants for the two points other than 0, 1, -1 (mod p) in
4716 * https://cr.yp.to/ecdh.html#validate
4717 * See ecp_check_pubkey_x25519().
4718 */
4719static const mbedtls_mpi_uint x25519_bad_point_1[] = {
4720 BYTES_TO_T_UINT_8( 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae ),
4721 BYTES_TO_T_UINT_8( 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a ),
4722 BYTES_TO_T_UINT_8( 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd ),
4723 BYTES_TO_T_UINT_8( 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00 ),
4724};
4725static const mbedtls_mpi_uint x25519_bad_point_2[] = {
4726 BYTES_TO_T_UINT_8( 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24 ),
4727 BYTES_TO_T_UINT_8( 0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b ),
4728 BYTES_TO_T_UINT_8( 0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86 ),
4729 BYTES_TO_T_UINT_8( 0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57 ),
4730};
4731const mbedtls_mpi mbedtls_ecp_x25519_bad_point_1 = ECP_MPI_INIT_ARRAY(
4732 x25519_bad_point_1 );
4733const mbedtls_mpi mbedtls_ecp_x25519_bad_point_2 = ECP_MPI_INIT_ARRAY(
4734 x25519_bad_point_2 );
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004735#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004736
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004737#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004738/* Constants used by ecp_use_curve448() */
4739static const unsigned char curve448_a24[] = { 0x98, 0xAA };
4740static const unsigned char curve448_part_of_n[] = {
4741 0x83, 0x35, 0xDC, 0x16, 0x3B, 0xB1, 0x24,
4742 0xB6, 0x51, 0x29, 0xC9, 0x6F, 0xDE, 0x93,
4743 0x3D, 0x8D, 0x72, 0x3A, 0x70, 0xAA, 0xDC,
4744 0x87, 0x3D, 0x6D, 0x54, 0xA7, 0xBB, 0x0D,
4745};
4746
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004747/*
4748 * Specialized function for creating the Curve448 group
4749 */
4750static int ecp_use_curve448( mbedtls_ecp_group *grp )
4751{
4752 mbedtls_mpi Ns;
Janos Follath24eed8d2019-11-22 13:21:35 +00004753 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004754
4755 mbedtls_mpi_init( &Ns );
4756
4757 /* Actually ( A + 2 ) / 4 */
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004758 MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &grp->A,
4759 curve448_a24, sizeof( curve448_a24 ) ) );
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004760
4761 /* P = 2^448 - 2^224 - 1 */
4762 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4763 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4764 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4765 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4766 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4767 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
4768
4769 /* Y intentionally not set, since we use x/z coordinates.
4770 * This is used as a marker to identify Montgomery curves! */
4771 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
4772 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4773 mbedtls_mpi_free( &grp->G.Y );
4774
4775 /* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
4776 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
Manuel Pégourié-Gonnard2d457b82021-06-23 12:43:34 +02004777 MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &Ns,
4778 curve448_part_of_n, sizeof( curve448_part_of_n ) ) );
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004779 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
4780
4781 /* Actually, the required msb for private keys */
4782 grp->nbits = 447;
4783
4784cleanup:
4785 mbedtls_mpi_free( &Ns );
4786 if( ret != 0 )
4787 mbedtls_ecp_group_free( grp );
4788
4789 return( ret );
4790}
4791#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4792
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004793/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004794 * Set a group using well-known domain parameters
4795 */
Manuel Pégourié-Gonnarde3a062b2015-05-11 18:46:47 +02004796int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004797{
Hanno Becker4f8e8e52018-12-14 15:08:03 +00004798 ECP_VALIDATE_RET( grp != NULL );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004799 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004800
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004801 grp->id = id;
4802
4803 switch( id )
4804 {
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004805#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4806 case MBEDTLS_ECP_DP_SECP192R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004807 NIST_MODP( p192 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004808 return( LOAD_GROUP( secp192r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004809#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004810
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004811#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4812 case MBEDTLS_ECP_DP_SECP224R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004813 NIST_MODP( p224 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004814 return( LOAD_GROUP( secp224r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004815#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004816
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004817#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4818 case MBEDTLS_ECP_DP_SECP256R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004819 NIST_MODP( p256 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004820 return( LOAD_GROUP( secp256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004821#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004822
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004823#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4824 case MBEDTLS_ECP_DP_SECP384R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004825 NIST_MODP( p384 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004826 return( LOAD_GROUP( secp384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004827#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004828
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004829#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4830 case MBEDTLS_ECP_DP_SECP521R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004831 NIST_MODP( p521 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004832 return( LOAD_GROUP( secp521r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004833#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004834
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004835#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4836 case MBEDTLS_ECP_DP_SECP192K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004837 grp->modp = ecp_mod_p192k1;
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004838 return( LOAD_GROUP_A( secp192k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004839#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004840
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004841#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4842 case MBEDTLS_ECP_DP_SECP224K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004843 grp->modp = ecp_mod_p224k1;
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004844 return( LOAD_GROUP_A( secp224k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004845#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004846
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004847#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4848 case MBEDTLS_ECP_DP_SECP256K1:
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004849 grp->modp = ecp_mod_p256k1;
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004850 return( LOAD_GROUP_A( secp256k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004851#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004852
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004853#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
4854 case MBEDTLS_ECP_DP_BP256R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004855 return( LOAD_GROUP_A( brainpoolP256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004856#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004857
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004858#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
4859 case MBEDTLS_ECP_DP_BP384R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004860 return( LOAD_GROUP_A( brainpoolP384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004861#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004862
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004863#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
4864 case MBEDTLS_ECP_DP_BP512R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004865 return( LOAD_GROUP_A( brainpoolP512r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004866#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004867
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004868#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
4869 case MBEDTLS_ECP_DP_CURVE25519:
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004870 grp->modp = ecp_mod_p255;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004871 return( ecp_use_curve25519( grp ) );
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004872#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004873
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004874#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4875 case MBEDTLS_ECP_DP_CURVE448:
4876 grp->modp = ecp_mod_p448;
4877 return( ecp_use_curve448( grp ) );
4878#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4879
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004880 default:
Alexander K56a74cd2019-09-10 17:58:20 +03004881 grp->id = MBEDTLS_ECP_DP_NONE;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004882 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004883 }
4884}
4885
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004886#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004887/*
4888 * Fast reduction modulo the primes used by the NIST curves.
4889 *
4890 * These functions are critical for speed, but not needed for correct
4891 * operations. So, we make the choice to heavily rely on the internals of our
4892 * bignum library, which creates a tight coupling between these functions and
4893 * our MPI implementation. However, the coupling between the ECP module and
4894 * MPI remains loose, since these functions can be deactivated at will.
4895 */
4896
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004897#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004898/*
4899 * Compared to the way things are presented in FIPS 186-3 D.2,
4900 * we proceed in columns, from right (least significant chunk) to left,
4901 * adding chunks to N in place, and keeping a carry for the next chunk.
4902 * This avoids moving things around in memory, and uselessly adding zeros,
4903 * compared to the more straightforward, line-oriented approach.
4904 *
4905 * For this prime we need to handle data in chunks of 64 bits.
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004906 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
4907 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004908 */
4909
4910/* Add 64-bit chunks (dst += src) and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004911static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004912{
4913 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004914 mbedtls_mpi_uint c = 0;
4915 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004916 {
4917 *dst += c; c = ( *dst < c );
4918 *dst += *src; c += ( *dst < *src );
4919 }
4920 *carry += c;
4921}
4922
4923/* Add carry to a 64-bit chunk and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004924static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004925{
4926 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004927 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004928 {
4929 *dst += *carry;
4930 *carry = ( *dst < *carry );
4931 }
4932}
4933
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004934#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
Hanno Becker1eeca412018-10-15 12:01:35 +01004935#define A( i ) N->p + (i) * WIDTH
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004936#define ADD( i ) add64( p, A( i ), &c )
4937#define NEXT p += WIDTH; carry64( p, &c )
4938#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
4939
4940/*
4941 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
4942 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004943static int ecp_mod_p192( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004944{
Janos Follath24eed8d2019-11-22 13:21:35 +00004945 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004946 mbedtls_mpi_uint c = 0;
4947 mbedtls_mpi_uint *p, *end;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004948
4949 /* Make sure we have enough blocks so that A(5) is legal */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004950 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004951
4952 p = N->p;
4953 end = p + N->n;
4954
4955 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
4956 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
4957 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
4958
4959cleanup:
4960 return( ret );
4961}
4962
4963#undef WIDTH
4964#undef A
4965#undef ADD
4966#undef NEXT
4967#undef LAST
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004968#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004969
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004970#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
4971 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
4972 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004973/*
4974 * The reader is advised to first understand ecp_mod_p192() since the same
4975 * general structure is used here, but with additional complications:
4976 * (1) chunks of 32 bits, and (2) subtractions.
4977 */
4978
4979/*
4980 * For these primes, we need to handle data in chunks of 32 bits.
4981 * This makes it more complicated if we use 64 bits limbs in MPI,
4982 * which prevents us from using a uniform access method as for p192.
4983 *
4984 * So, we define a mini abstraction layer to access 32 bit chunks,
4985 * load them in 'cur' for work, and store them back from 'cur' when done.
4986 *
4987 * While at it, also define the size of N in terms of 32-bit chunks.
4988 */
4989#define LOAD32 cur = A( i );
4990
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +02004991#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004992
4993#define MAX32 N->n
4994#define A( j ) N->p[j]
4995#define STORE32 N->p[i] = cur;
4996
4997#else /* 64-bit */
4998
4999#define MAX32 N->n * 2
Hanno Becker1eeca412018-10-15 12:01:35 +01005000#define A( j ) (j) % 2 ? (uint32_t)( N->p[(j)/2] >> 32 ) : \
5001 (uint32_t)( N->p[(j)/2] )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005002#define STORE32 \
5003 if( i % 2 ) { \
5004 N->p[i/2] &= 0x00000000FFFFFFFF; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005005 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005006 } else { \
5007 N->p[i/2] &= 0xFFFFFFFF00000000; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005008 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005009 }
5010
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005011#endif /* sizeof( mbedtls_mpi_uint ) */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005012
5013/*
5014 * Helpers for addition and subtraction of chunks, with signed carry.
5015 */
5016static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
5017{
5018 *dst += src;
5019 *carry += ( *dst < src );
5020}
5021
5022static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
5023{
5024 *carry -= ( *dst < src );
5025 *dst -= src;
5026}
5027
5028#define ADD( j ) add32( &cur, A( j ), &c );
5029#define SUB( j ) sub32( &cur, A( j ), &c );
5030
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005031#define ciL (sizeof(mbedtls_mpi_uint)) /* chars in limb */
Gilles Peskineb76517b2021-03-10 23:44:28 +01005032#define biL (ciL << 3) /* bits in limb */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005033
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005034/*
5035 * Helpers for the main 'loop'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005036 */
Hanno Becker1eeca412018-10-15 12:01:35 +01005037#define INIT( b ) \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005038 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; \
Hanno Becker1eeca412018-10-15 12:01:35 +01005039 signed char c = 0, cc; \
5040 uint32_t cur; \
5041 size_t i = 0, bits = (b); \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005042 /* N is the size of the product of two b-bit numbers, plus one */ \
5043 /* limb for fix_negative */ \
5044 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, ( b ) * 2 / biL + 1 ) ); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005045 LOAD32;
5046
5047#define NEXT \
5048 STORE32; i++; LOAD32; \
5049 cc = c; c = 0; \
5050 if( cc < 0 ) \
5051 sub32( &cur, -cc, &c ); \
5052 else \
5053 add32( &cur, cc, &c ); \
5054
5055#define LAST \
5056 STORE32; i++; \
5057 cur = c > 0 ? c : 0; STORE32; \
5058 cur = 0; while( ++i < MAX32 ) { STORE32; } \
Gilles Peskine618be2e2021-04-03 21:47:53 +02005059 if( c < 0 ) mbedtls_ecp_fix_negative( N, c, bits );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005060
5061/*
5062 * If the result is negative, we get it in the form
Gilles Peskine349b3722021-04-03 21:40:11 +02005063 * c * 2^bits + N, with c negative and N positive shorter than 'bits'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005064 */
Gilles Peskine618be2e2021-04-03 21:47:53 +02005065MBEDTLS_STATIC_TESTABLE
5066void mbedtls_ecp_fix_negative( mbedtls_mpi *N, signed char c, size_t bits )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005067{
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005068 size_t i;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005069
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005070 /* Set N := 2^bits - 1 - N. We know that 0 <= N < 2^bits, so
5071 * set the absolute value to 0xfff...fff - N. There is no carry
5072 * since we're subtracting from all-bits-one. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005073 for( i = 0; i <= bits / 8 / sizeof( mbedtls_mpi_uint ); i++ )
5074 {
5075 N->p[i] = ~(mbedtls_mpi_uint)0 - N->p[i];
5076 }
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005077 /* Add 1, taking care of the carry. */
5078 i = 0;
5079 do
5080 ++N->p[i];
5081 while( N->p[i++] == 0 && i <= bits / 8 / sizeof( mbedtls_mpi_uint ) );
5082 /* Invert the sign.
5083 * Now N = N0 - 2^bits where N0 is the initial value of N. */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005084 N->s = -1;
5085
Gilles Peskine349b3722021-04-03 21:40:11 +02005086 /* Add |c| * 2^bits to the absolute value. Since c and N are
5087 * negative, this adds c * 2^bits. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005088 mbedtls_mpi_uint msw = (mbedtls_mpi_uint) -c;
5089#if defined(MBEDTLS_HAVE_INT64)
5090 if( bits == 224 )
5091 msw <<= 32;
5092#endif
5093 N->p[bits / 8 / sizeof( mbedtls_mpi_uint)] += msw;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005094}
5095
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005096#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005097/*
5098 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
5099 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005100static int ecp_mod_p224( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005101{
5102 INIT( 224 );
5103
5104 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
5105 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
5106 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
5107 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
5108 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
5109 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
5110 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
5111
5112cleanup:
5113 return( ret );
5114}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005115#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005116
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005117#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005118/*
5119 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
5120 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005121static int ecp_mod_p256( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005122{
5123 INIT( 256 );
5124
5125 ADD( 8 ); ADD( 9 );
5126 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
5127
5128 ADD( 9 ); ADD( 10 );
5129 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
5130
5131 ADD( 10 ); ADD( 11 );
5132 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
5133
5134 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
5135 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
5136
5137 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
5138 SUB( 9 ); SUB( 10 ); NEXT; // A4
5139
5140 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
5141 SUB( 10 ); SUB( 11 ); NEXT; // A5
5142
5143 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
5144 SUB( 8 ); SUB( 9 ); NEXT; // A6
5145
5146 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
5147 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
5148
5149cleanup:
5150 return( ret );
5151}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005152#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005153
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005154#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005155/*
5156 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
5157 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005158static int ecp_mod_p384( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005159{
5160 INIT( 384 );
5161
5162 ADD( 12 ); ADD( 21 ); ADD( 20 );
5163 SUB( 23 ); NEXT; // A0
5164
5165 ADD( 13 ); ADD( 22 ); ADD( 23 );
5166 SUB( 12 ); SUB( 20 ); NEXT; // A2
5167
5168 ADD( 14 ); ADD( 23 );
5169 SUB( 13 ); SUB( 21 ); NEXT; // A2
5170
5171 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
5172 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
5173
5174 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
5175 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
5176
5177 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
5178 SUB( 16 ); NEXT; // A5
5179
5180 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
5181 SUB( 17 ); NEXT; // A6
5182
5183 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
5184 SUB( 18 ); NEXT; // A7
5185
5186 ADD( 20 ); ADD( 17 ); ADD( 16 );
5187 SUB( 19 ); NEXT; // A8
5188
5189 ADD( 21 ); ADD( 18 ); ADD( 17 );
5190 SUB( 20 ); NEXT; // A9
5191
5192 ADD( 22 ); ADD( 19 ); ADD( 18 );
5193 SUB( 21 ); NEXT; // A10
5194
5195 ADD( 23 ); ADD( 20 ); ADD( 19 );
5196 SUB( 22 ); LAST; // A11
5197
5198cleanup:
5199 return( ret );
5200}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005201#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005202
5203#undef A
5204#undef LOAD32
5205#undef STORE32
5206#undef MAX32
5207#undef INIT
5208#undef NEXT
5209#undef LAST
5210
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005211#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
5212 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
5213 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005214
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005215#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005216/*
5217 * Here we have an actual Mersenne prime, so things are more straightforward.
5218 * However, chunks are aligned on a 'weird' boundary (521 bits).
5219 */
5220
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005221/* Size of p521 in terms of mbedtls_mpi_uint */
5222#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005223
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005224/* Bits to keep in the most significant mbedtls_mpi_uint */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005225#define P521_MASK 0x01FF
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005226
5227/*
5228 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
5229 * Write N as A1 + 2^521 A0, return A0 + A1
5230 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005231static int ecp_mod_p521( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005232{
Janos Follath24eed8d2019-11-22 13:21:35 +00005233 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005234 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005235 mbedtls_mpi M;
5236 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
5237 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005238 * we need to hold bits 513 to 1056, which is 34 limbs, that is
5239 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
5240
5241 if( N->n < P521_WIDTH )
5242 return( 0 );
5243
5244 /* M = A1 */
5245 M.s = 1;
5246 M.n = N->n - ( P521_WIDTH - 1 );
5247 if( M.n > P521_WIDTH + 1 )
5248 M.n = P521_WIDTH + 1;
5249 M.p = Mp;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005250 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5251 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005252
5253 /* N = A0 */
5254 N->p[P521_WIDTH - 1] &= P521_MASK;
5255 for( i = P521_WIDTH; i < N->n; i++ )
5256 N->p[i] = 0;
5257
5258 /* N = A0 + A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005259 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005260
5261cleanup:
5262 return( ret );
5263}
5264
5265#undef P521_WIDTH
5266#undef P521_MASK
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005267#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005268
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005269#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005270
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005271#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005272
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005273/* Size of p255 in terms of mbedtls_mpi_uint */
5274#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005275
5276/*
5277 * Fast quasi-reduction modulo p255 = 2^255 - 19
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005278 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005279 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005280static int ecp_mod_p255( mbedtls_mpi *N )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005281{
Janos Follath24eed8d2019-11-22 13:21:35 +00005282 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005283 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005284 mbedtls_mpi M;
5285 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005286
5287 if( N->n < P255_WIDTH )
5288 return( 0 );
5289
5290 /* M = A1 */
5291 M.s = 1;
5292 M.n = N->n - ( P255_WIDTH - 1 );
5293 if( M.n > P255_WIDTH + 1 )
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005294 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005295 M.p = Mp;
5296 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005297 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5298 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005299 M.n++; /* Make room for multiplication by 19 */
5300
5301 /* N = A0 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005302 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005303 for( i = P255_WIDTH; i < N->n; i++ )
5304 N->p[i] = 0;
5305
5306 /* N = A0 + 19 * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005307 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
5308 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005309
5310cleanup:
5311 return( ret );
5312}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005313#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005314
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005315#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
5316
5317/* Size of p448 in terms of mbedtls_mpi_uint */
5318#define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
5319
5320/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
5321#define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
5322#define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
5323#define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
5324#define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
5325
5326/*
5327 * Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
5328 * Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
5329 * A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
5330 * implementation of Curve448, which uses its own special 56-bit limbs rather
5331 * than a generic bignum library. We could squeeze some extra speed out on
5332 * 32-bit machines by splitting N up into 32-bit limbs and doing the
5333 * arithmetic using the limbs directly as we do for the NIST primes above,
5334 * but for 64-bit targets it should use half the number of operations if we do
5335 * the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
5336 */
5337static int ecp_mod_p448( mbedtls_mpi *N )
5338{
Janos Follath24eed8d2019-11-22 13:21:35 +00005339 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005340 size_t i;
5341 mbedtls_mpi M, Q;
5342 mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
5343
5344 if( N->n <= P448_WIDTH )
5345 return( 0 );
5346
5347 /* M = A1 */
5348 M.s = 1;
5349 M.n = N->n - ( P448_WIDTH );
5350 if( M.n > P448_WIDTH )
5351 /* Shouldn't be called with N larger than 2^896! */
5352 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
5353 M.p = Mp;
5354 memset( Mp, 0, sizeof( Mp ) );
5355 memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
5356
5357 /* N = A0 */
5358 for( i = P448_WIDTH; i < N->n; i++ )
5359 N->p[i] = 0;
5360
5361 /* N += A1 */
5362 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5363
5364 /* Q = B1, N += B1 */
5365 Q = M;
5366 Q.p = Qp;
5367 memcpy( Qp, Mp, sizeof( Qp ) );
5368 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
5369 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
5370
5371 /* M = (B0 + B1) * 2^224, N += M */
5372 if( sizeof( mbedtls_mpi_uint ) > 4 )
5373 Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
5374 for( i = P224_WIDTH_MAX; i < M.n; ++i )
5375 Mp[i] = 0;
5376 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
5377 M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
5378 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
5379 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5380
5381cleanup:
5382 return( ret );
5383}
5384#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
5385
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005386#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
5387 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
5388 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005389/*
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005390 * Fast quasi-reduction modulo P = 2^s - R,
5391 * with R about 33 bits, used by the Koblitz curves.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005392 *
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005393 * Write N as A0 + 2^224 A1, return A0 + R * A1.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005394 * Actually do two passes, since R is big.
5395 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005396#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
5397#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
5398static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
5399 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005400{
Janos Follath24eed8d2019-11-22 13:21:35 +00005401 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005402 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005403 mbedtls_mpi M, R;
Janos Follath7dadc2f2017-01-27 16:05:20 +00005404 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005405
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005406 if( N->n < p_limbs )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005407 return( 0 );
5408
5409 /* Init R */
5410 R.s = 1;
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005411 R.p = Rp;
5412 R.n = P_KOBLITZ_R;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005413
5414 /* Common setup for M */
5415 M.s = 1;
5416 M.p = Mp;
5417
5418 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005419 M.n = N->n - ( p_limbs - adjust );
5420 if( M.n > p_limbs + adjust )
5421 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005422 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005423 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005424 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005425 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005426 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005427
5428 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005429 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005430 N->p[p_limbs - 1] &= mask;
5431 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005432 N->p[i] = 0;
5433
5434 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005435 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5436 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005437
5438 /* Second pass */
5439
5440 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005441 M.n = N->n - ( p_limbs - adjust );
5442 if( M.n > p_limbs + adjust )
5443 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005444 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005445 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005446 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005447 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005448 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005449
5450 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005451 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005452 N->p[p_limbs - 1] &= mask;
5453 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005454 N->p[i] = 0;
5455
5456 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005457 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5458 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005459
5460cleanup:
5461 return( ret );
5462}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005463#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
5464 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
5465 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005466
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005467#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005468/*
5469 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
5470 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
5471 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005472static int ecp_mod_p192k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005473{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005474 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005475 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5476
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005477 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005478}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005479#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005480
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005481#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005482/*
5483 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
5484 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
5485 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005486static int ecp_mod_p224k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005487{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005488 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005489 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5490
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005491#if defined(MBEDTLS_HAVE_INT64)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005492 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
5493#else
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005494 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005495#endif
5496}
5497
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005498#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005499
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005500#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005501/*
5502 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
5503 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
5504 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005505static int ecp_mod_p256k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005506{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005507 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005508 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005509 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005510}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005511#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005512
Janos Follathb0697532016-08-18 12:38:46 +01005513#endif /* !MBEDTLS_ECP_ALT */
5514
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005515#endif /* MBEDTLS_ECP_C */