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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-Gonnard32b04c12013-12-02 15:49:09 +01004669/*
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004670 * Specialized function for creating the Curve25519 group
4671 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004672static int ecp_use_curve25519( mbedtls_ecp_group *grp )
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004673{
Janos Follath24eed8d2019-11-22 13:21:35 +00004674 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004675
4676 /* Actually ( A + 2 ) / 4 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004677 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004678
4679 /* P = 2^255 - 19 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004680 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4681 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
4682 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
Manuel Pégourié-Gonnardc0696c22015-06-18 16:47:17 +02004683 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004684
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004685 /* N = 2^252 + 27742317777372353535851937790883648493 */
4686 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
4687 "14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
4688 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
4689
Manuel Pégourié-Gonnard18b78432018-03-28 11:14:06 +02004690 /* Y intentionally not set, since we use x/z coordinates.
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004691 * This is used as a marker to identify Montgomery curves! */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004692 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
4693 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4694 mbedtls_mpi_free( &grp->G.Y );
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004695
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004696 /* Actually, the required msb for private keys */
4697 grp->nbits = 254;
4698
4699cleanup:
4700 if( ret != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004701 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004702
4703 return( ret );
4704}
Manuel Pégourié-Gonnard2389a602021-06-23 12:25:48 +02004705
4706/*
4707 * Constants for the two points other than 0, 1, -1 (mod p) in
4708 * https://cr.yp.to/ecdh.html#validate
4709 * See ecp_check_pubkey_x25519().
4710 */
4711static const mbedtls_mpi_uint x25519_bad_point_1[] = {
4712 BYTES_TO_T_UINT_8( 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae ),
4713 BYTES_TO_T_UINT_8( 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a ),
4714 BYTES_TO_T_UINT_8( 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd ),
4715 BYTES_TO_T_UINT_8( 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00 ),
4716};
4717static const mbedtls_mpi_uint x25519_bad_point_2[] = {
4718 BYTES_TO_T_UINT_8( 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24 ),
4719 BYTES_TO_T_UINT_8( 0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b ),
4720 BYTES_TO_T_UINT_8( 0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86 ),
4721 BYTES_TO_T_UINT_8( 0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57 ),
4722};
4723const mbedtls_mpi mbedtls_ecp_x25519_bad_point_1 = ECP_MPI_INIT_ARRAY(
4724 x25519_bad_point_1 );
4725const mbedtls_mpi mbedtls_ecp_x25519_bad_point_2 = ECP_MPI_INIT_ARRAY(
4726 x25519_bad_point_2 );
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004727#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004728
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004729#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4730/*
4731 * Specialized function for creating the Curve448 group
4732 */
4733static int ecp_use_curve448( mbedtls_ecp_group *grp )
4734{
4735 mbedtls_mpi Ns;
Janos Follath24eed8d2019-11-22 13:21:35 +00004736 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004737
4738 mbedtls_mpi_init( &Ns );
4739
4740 /* Actually ( A + 2 ) / 4 */
4741 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
4742
4743 /* P = 2^448 - 2^224 - 1 */
4744 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4745 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4746 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4747 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4748 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4749 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
4750
4751 /* Y intentionally not set, since we use x/z coordinates.
4752 * This is used as a marker to identify Montgomery curves! */
4753 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
4754 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4755 mbedtls_mpi_free( &grp->G.Y );
4756
4757 /* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
4758 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
4759 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
4760 "8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
4761 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
4762
4763 /* Actually, the required msb for private keys */
4764 grp->nbits = 447;
4765
4766cleanup:
4767 mbedtls_mpi_free( &Ns );
4768 if( ret != 0 )
4769 mbedtls_ecp_group_free( grp );
4770
4771 return( ret );
4772}
4773#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4774
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004775/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004776 * Set a group using well-known domain parameters
4777 */
Manuel Pégourié-Gonnarde3a062b2015-05-11 18:46:47 +02004778int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004779{
Hanno Becker4f8e8e52018-12-14 15:08:03 +00004780 ECP_VALIDATE_RET( grp != NULL );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004781 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004782
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004783 grp->id = id;
4784
4785 switch( id )
4786 {
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004787#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4788 case MBEDTLS_ECP_DP_SECP192R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004789 NIST_MODP( p192 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004790 return( LOAD_GROUP( secp192r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004791#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004792
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004793#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4794 case MBEDTLS_ECP_DP_SECP224R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004795 NIST_MODP( p224 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004796 return( LOAD_GROUP( secp224r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004797#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004798
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004799#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4800 case MBEDTLS_ECP_DP_SECP256R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004801 NIST_MODP( p256 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004802 return( LOAD_GROUP( secp256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004803#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004804
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004805#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4806 case MBEDTLS_ECP_DP_SECP384R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004807 NIST_MODP( p384 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004808 return( LOAD_GROUP( secp384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004809#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004810
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004811#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4812 case MBEDTLS_ECP_DP_SECP521R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004813 NIST_MODP( p521 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004814 return( LOAD_GROUP( secp521r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004815#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004816
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004817#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4818 case MBEDTLS_ECP_DP_SECP192K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004819 grp->modp = ecp_mod_p192k1;
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004820 return( LOAD_GROUP_A( secp192k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004821#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004822
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004823#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4824 case MBEDTLS_ECP_DP_SECP224K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004825 grp->modp = ecp_mod_p224k1;
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004826 return( LOAD_GROUP_A( secp224k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004827#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004828
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004829#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4830 case MBEDTLS_ECP_DP_SECP256K1:
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004831 grp->modp = ecp_mod_p256k1;
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004832 return( LOAD_GROUP_A( secp256k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004833#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004834
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004835#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
4836 case MBEDTLS_ECP_DP_BP256R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004837 return( LOAD_GROUP_A( brainpoolP256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004838#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004839
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004840#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
4841 case MBEDTLS_ECP_DP_BP384R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004842 return( LOAD_GROUP_A( brainpoolP384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004843#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004844
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004845#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
4846 case MBEDTLS_ECP_DP_BP512R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004847 return( LOAD_GROUP_A( brainpoolP512r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004848#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004849
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004850#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
4851 case MBEDTLS_ECP_DP_CURVE25519:
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004852 grp->modp = ecp_mod_p255;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004853 return( ecp_use_curve25519( grp ) );
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004854#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004855
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004856#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4857 case MBEDTLS_ECP_DP_CURVE448:
4858 grp->modp = ecp_mod_p448;
4859 return( ecp_use_curve448( grp ) );
4860#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4861
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004862 default:
Alexander K56a74cd2019-09-10 17:58:20 +03004863 grp->id = MBEDTLS_ECP_DP_NONE;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004864 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004865 }
4866}
4867
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004868#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004869/*
4870 * Fast reduction modulo the primes used by the NIST curves.
4871 *
4872 * These functions are critical for speed, but not needed for correct
4873 * operations. So, we make the choice to heavily rely on the internals of our
4874 * bignum library, which creates a tight coupling between these functions and
4875 * our MPI implementation. However, the coupling between the ECP module and
4876 * MPI remains loose, since these functions can be deactivated at will.
4877 */
4878
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004879#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004880/*
4881 * Compared to the way things are presented in FIPS 186-3 D.2,
4882 * we proceed in columns, from right (least significant chunk) to left,
4883 * adding chunks to N in place, and keeping a carry for the next chunk.
4884 * This avoids moving things around in memory, and uselessly adding zeros,
4885 * compared to the more straightforward, line-oriented approach.
4886 *
4887 * For this prime we need to handle data in chunks of 64 bits.
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004888 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
4889 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004890 */
4891
4892/* Add 64-bit chunks (dst += src) and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004893static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004894{
4895 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004896 mbedtls_mpi_uint c = 0;
4897 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004898 {
4899 *dst += c; c = ( *dst < c );
4900 *dst += *src; c += ( *dst < *src );
4901 }
4902 *carry += c;
4903}
4904
4905/* Add carry to a 64-bit chunk and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004906static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004907{
4908 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004909 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004910 {
4911 *dst += *carry;
4912 *carry = ( *dst < *carry );
4913 }
4914}
4915
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004916#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
Hanno Becker1eeca412018-10-15 12:01:35 +01004917#define A( i ) N->p + (i) * WIDTH
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004918#define ADD( i ) add64( p, A( i ), &c )
4919#define NEXT p += WIDTH; carry64( p, &c )
4920#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
4921
4922/*
4923 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
4924 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004925static int ecp_mod_p192( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004926{
Janos Follath24eed8d2019-11-22 13:21:35 +00004927 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004928 mbedtls_mpi_uint c = 0;
4929 mbedtls_mpi_uint *p, *end;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004930
4931 /* Make sure we have enough blocks so that A(5) is legal */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004932 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004933
4934 p = N->p;
4935 end = p + N->n;
4936
4937 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
4938 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
4939 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
4940
4941cleanup:
4942 return( ret );
4943}
4944
4945#undef WIDTH
4946#undef A
4947#undef ADD
4948#undef NEXT
4949#undef LAST
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004950#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004951
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004952#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
4953 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
4954 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004955/*
4956 * The reader is advised to first understand ecp_mod_p192() since the same
4957 * general structure is used here, but with additional complications:
4958 * (1) chunks of 32 bits, and (2) subtractions.
4959 */
4960
4961/*
4962 * For these primes, we need to handle data in chunks of 32 bits.
4963 * This makes it more complicated if we use 64 bits limbs in MPI,
4964 * which prevents us from using a uniform access method as for p192.
4965 *
4966 * So, we define a mini abstraction layer to access 32 bit chunks,
4967 * load them in 'cur' for work, and store them back from 'cur' when done.
4968 *
4969 * While at it, also define the size of N in terms of 32-bit chunks.
4970 */
4971#define LOAD32 cur = A( i );
4972
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +02004973#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004974
4975#define MAX32 N->n
4976#define A( j ) N->p[j]
4977#define STORE32 N->p[i] = cur;
4978
4979#else /* 64-bit */
4980
4981#define MAX32 N->n * 2
Hanno Becker1eeca412018-10-15 12:01:35 +01004982#define A( j ) (j) % 2 ? (uint32_t)( N->p[(j)/2] >> 32 ) : \
4983 (uint32_t)( N->p[(j)/2] )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004984#define STORE32 \
4985 if( i % 2 ) { \
4986 N->p[i/2] &= 0x00000000FFFFFFFF; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004987 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004988 } else { \
4989 N->p[i/2] &= 0xFFFFFFFF00000000; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004990 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004991 }
4992
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004993#endif /* sizeof( mbedtls_mpi_uint ) */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004994
4995/*
4996 * Helpers for addition and subtraction of chunks, with signed carry.
4997 */
4998static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
4999{
5000 *dst += src;
5001 *carry += ( *dst < src );
5002}
5003
5004static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
5005{
5006 *carry -= ( *dst < src );
5007 *dst -= src;
5008}
5009
5010#define ADD( j ) add32( &cur, A( j ), &c );
5011#define SUB( j ) sub32( &cur, A( j ), &c );
5012
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005013#define ciL (sizeof(mbedtls_mpi_uint)) /* chars in limb */
Gilles Peskineb76517b2021-03-10 23:44:28 +01005014#define biL (ciL << 3) /* bits in limb */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005015
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005016/*
5017 * Helpers for the main 'loop'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005018 */
Hanno Becker1eeca412018-10-15 12:01:35 +01005019#define INIT( b ) \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005020 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; \
Hanno Becker1eeca412018-10-15 12:01:35 +01005021 signed char c = 0, cc; \
5022 uint32_t cur; \
5023 size_t i = 0, bits = (b); \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005024 /* N is the size of the product of two b-bit numbers, plus one */ \
5025 /* limb for fix_negative */ \
5026 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, ( b ) * 2 / biL + 1 ) ); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005027 LOAD32;
5028
5029#define NEXT \
5030 STORE32; i++; LOAD32; \
5031 cc = c; c = 0; \
5032 if( cc < 0 ) \
5033 sub32( &cur, -cc, &c ); \
5034 else \
5035 add32( &cur, cc, &c ); \
5036
5037#define LAST \
5038 STORE32; i++; \
5039 cur = c > 0 ? c : 0; STORE32; \
5040 cur = 0; while( ++i < MAX32 ) { STORE32; } \
Gilles Peskine618be2e2021-04-03 21:47:53 +02005041 if( c < 0 ) mbedtls_ecp_fix_negative( N, c, bits );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005042
5043/*
5044 * If the result is negative, we get it in the form
Gilles Peskine349b3722021-04-03 21:40:11 +02005045 * c * 2^bits + N, with c negative and N positive shorter than 'bits'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005046 */
Gilles Peskine618be2e2021-04-03 21:47:53 +02005047MBEDTLS_STATIC_TESTABLE
5048void mbedtls_ecp_fix_negative( mbedtls_mpi *N, signed char c, size_t bits )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005049{
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005050 size_t i;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005051
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005052 /* Set N := 2^bits - 1 - N. We know that 0 <= N < 2^bits, so
5053 * set the absolute value to 0xfff...fff - N. There is no carry
5054 * since we're subtracting from all-bits-one. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005055 for( i = 0; i <= bits / 8 / sizeof( mbedtls_mpi_uint ); i++ )
5056 {
5057 N->p[i] = ~(mbedtls_mpi_uint)0 - N->p[i];
5058 }
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005059 /* Add 1, taking care of the carry. */
5060 i = 0;
5061 do
5062 ++N->p[i];
5063 while( N->p[i++] == 0 && i <= bits / 8 / sizeof( mbedtls_mpi_uint ) );
5064 /* Invert the sign.
5065 * Now N = N0 - 2^bits where N0 is the initial value of N. */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005066 N->s = -1;
5067
Gilles Peskine349b3722021-04-03 21:40:11 +02005068 /* Add |c| * 2^bits to the absolute value. Since c and N are
5069 * negative, this adds c * 2^bits. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005070 mbedtls_mpi_uint msw = (mbedtls_mpi_uint) -c;
5071#if defined(MBEDTLS_HAVE_INT64)
5072 if( bits == 224 )
5073 msw <<= 32;
5074#endif
5075 N->p[bits / 8 / sizeof( mbedtls_mpi_uint)] += msw;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005076}
5077
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005078#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005079/*
5080 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
5081 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005082static int ecp_mod_p224( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005083{
5084 INIT( 224 );
5085
5086 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
5087 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
5088 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
5089 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
5090 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
5091 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
5092 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
5093
5094cleanup:
5095 return( ret );
5096}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005097#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005098
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005099#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005100/*
5101 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
5102 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005103static int ecp_mod_p256( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005104{
5105 INIT( 256 );
5106
5107 ADD( 8 ); ADD( 9 );
5108 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
5109
5110 ADD( 9 ); ADD( 10 );
5111 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
5112
5113 ADD( 10 ); ADD( 11 );
5114 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
5115
5116 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
5117 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
5118
5119 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
5120 SUB( 9 ); SUB( 10 ); NEXT; // A4
5121
5122 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
5123 SUB( 10 ); SUB( 11 ); NEXT; // A5
5124
5125 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
5126 SUB( 8 ); SUB( 9 ); NEXT; // A6
5127
5128 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
5129 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
5130
5131cleanup:
5132 return( ret );
5133}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005134#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005135
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005136#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005137/*
5138 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
5139 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005140static int ecp_mod_p384( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005141{
5142 INIT( 384 );
5143
5144 ADD( 12 ); ADD( 21 ); ADD( 20 );
5145 SUB( 23 ); NEXT; // A0
5146
5147 ADD( 13 ); ADD( 22 ); ADD( 23 );
5148 SUB( 12 ); SUB( 20 ); NEXT; // A2
5149
5150 ADD( 14 ); ADD( 23 );
5151 SUB( 13 ); SUB( 21 ); NEXT; // A2
5152
5153 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
5154 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
5155
5156 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
5157 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
5158
5159 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
5160 SUB( 16 ); NEXT; // A5
5161
5162 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
5163 SUB( 17 ); NEXT; // A6
5164
5165 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
5166 SUB( 18 ); NEXT; // A7
5167
5168 ADD( 20 ); ADD( 17 ); ADD( 16 );
5169 SUB( 19 ); NEXT; // A8
5170
5171 ADD( 21 ); ADD( 18 ); ADD( 17 );
5172 SUB( 20 ); NEXT; // A9
5173
5174 ADD( 22 ); ADD( 19 ); ADD( 18 );
5175 SUB( 21 ); NEXT; // A10
5176
5177 ADD( 23 ); ADD( 20 ); ADD( 19 );
5178 SUB( 22 ); LAST; // A11
5179
5180cleanup:
5181 return( ret );
5182}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005183#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005184
5185#undef A
5186#undef LOAD32
5187#undef STORE32
5188#undef MAX32
5189#undef INIT
5190#undef NEXT
5191#undef LAST
5192
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005193#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
5194 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
5195 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005196
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005197#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005198/*
5199 * Here we have an actual Mersenne prime, so things are more straightforward.
5200 * However, chunks are aligned on a 'weird' boundary (521 bits).
5201 */
5202
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005203/* Size of p521 in terms of mbedtls_mpi_uint */
5204#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005205
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005206/* Bits to keep in the most significant mbedtls_mpi_uint */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005207#define P521_MASK 0x01FF
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005208
5209/*
5210 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
5211 * Write N as A1 + 2^521 A0, return A0 + A1
5212 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005213static int ecp_mod_p521( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005214{
Janos Follath24eed8d2019-11-22 13:21:35 +00005215 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005216 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005217 mbedtls_mpi M;
5218 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
5219 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005220 * we need to hold bits 513 to 1056, which is 34 limbs, that is
5221 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
5222
5223 if( N->n < P521_WIDTH )
5224 return( 0 );
5225
5226 /* M = A1 */
5227 M.s = 1;
5228 M.n = N->n - ( P521_WIDTH - 1 );
5229 if( M.n > P521_WIDTH + 1 )
5230 M.n = P521_WIDTH + 1;
5231 M.p = Mp;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005232 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5233 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005234
5235 /* N = A0 */
5236 N->p[P521_WIDTH - 1] &= P521_MASK;
5237 for( i = P521_WIDTH; i < N->n; i++ )
5238 N->p[i] = 0;
5239
5240 /* N = A0 + A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005241 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005242
5243cleanup:
5244 return( ret );
5245}
5246
5247#undef P521_WIDTH
5248#undef P521_MASK
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005249#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005250
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005251#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005252
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005253#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005254
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005255/* Size of p255 in terms of mbedtls_mpi_uint */
5256#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005257
5258/*
5259 * Fast quasi-reduction modulo p255 = 2^255 - 19
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005260 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005261 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005262static int ecp_mod_p255( mbedtls_mpi *N )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005263{
Janos Follath24eed8d2019-11-22 13:21:35 +00005264 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005265 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005266 mbedtls_mpi M;
5267 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005268
5269 if( N->n < P255_WIDTH )
5270 return( 0 );
5271
5272 /* M = A1 */
5273 M.s = 1;
5274 M.n = N->n - ( P255_WIDTH - 1 );
5275 if( M.n > P255_WIDTH + 1 )
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005276 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005277 M.p = Mp;
5278 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005279 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5280 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005281 M.n++; /* Make room for multiplication by 19 */
5282
5283 /* N = A0 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005284 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005285 for( i = P255_WIDTH; i < N->n; i++ )
5286 N->p[i] = 0;
5287
5288 /* N = A0 + 19 * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005289 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
5290 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005291
5292cleanup:
5293 return( ret );
5294}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005295#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005296
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005297#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
5298
5299/* Size of p448 in terms of mbedtls_mpi_uint */
5300#define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
5301
5302/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
5303#define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
5304#define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
5305#define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
5306#define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
5307
5308/*
5309 * Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
5310 * Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
5311 * A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
5312 * implementation of Curve448, which uses its own special 56-bit limbs rather
5313 * than a generic bignum library. We could squeeze some extra speed out on
5314 * 32-bit machines by splitting N up into 32-bit limbs and doing the
5315 * arithmetic using the limbs directly as we do for the NIST primes above,
5316 * but for 64-bit targets it should use half the number of operations if we do
5317 * the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
5318 */
5319static int ecp_mod_p448( mbedtls_mpi *N )
5320{
Janos Follath24eed8d2019-11-22 13:21:35 +00005321 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005322 size_t i;
5323 mbedtls_mpi M, Q;
5324 mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
5325
5326 if( N->n <= P448_WIDTH )
5327 return( 0 );
5328
5329 /* M = A1 */
5330 M.s = 1;
5331 M.n = N->n - ( P448_WIDTH );
5332 if( M.n > P448_WIDTH )
5333 /* Shouldn't be called with N larger than 2^896! */
5334 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
5335 M.p = Mp;
5336 memset( Mp, 0, sizeof( Mp ) );
5337 memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
5338
5339 /* N = A0 */
5340 for( i = P448_WIDTH; i < N->n; i++ )
5341 N->p[i] = 0;
5342
5343 /* N += A1 */
5344 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5345
5346 /* Q = B1, N += B1 */
5347 Q = M;
5348 Q.p = Qp;
5349 memcpy( Qp, Mp, sizeof( Qp ) );
5350 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
5351 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
5352
5353 /* M = (B0 + B1) * 2^224, N += M */
5354 if( sizeof( mbedtls_mpi_uint ) > 4 )
5355 Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
5356 for( i = P224_WIDTH_MAX; i < M.n; ++i )
5357 Mp[i] = 0;
5358 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
5359 M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
5360 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
5361 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5362
5363cleanup:
5364 return( ret );
5365}
5366#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
5367
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005368#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
5369 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
5370 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005371/*
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005372 * Fast quasi-reduction modulo P = 2^s - R,
5373 * with R about 33 bits, used by the Koblitz curves.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005374 *
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005375 * Write N as A0 + 2^224 A1, return A0 + R * A1.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005376 * Actually do two passes, since R is big.
5377 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005378#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
5379#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
5380static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
5381 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005382{
Janos Follath24eed8d2019-11-22 13:21:35 +00005383 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005384 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005385 mbedtls_mpi M, R;
Janos Follath7dadc2f2017-01-27 16:05:20 +00005386 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005387
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005388 if( N->n < p_limbs )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005389 return( 0 );
5390
5391 /* Init R */
5392 R.s = 1;
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005393 R.p = Rp;
5394 R.n = P_KOBLITZ_R;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005395
5396 /* Common setup for M */
5397 M.s = 1;
5398 M.p = Mp;
5399
5400 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005401 M.n = N->n - ( p_limbs - adjust );
5402 if( M.n > p_limbs + adjust )
5403 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005404 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005405 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005406 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005407 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005408 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005409
5410 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005411 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005412 N->p[p_limbs - 1] &= mask;
5413 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005414 N->p[i] = 0;
5415
5416 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005417 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5418 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005419
5420 /* Second pass */
5421
5422 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005423 M.n = N->n - ( p_limbs - adjust );
5424 if( M.n > p_limbs + adjust )
5425 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005426 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005427 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005428 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005429 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005430 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005431
5432 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005433 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005434 N->p[p_limbs - 1] &= mask;
5435 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005436 N->p[i] = 0;
5437
5438 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005439 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5440 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005441
5442cleanup:
5443 return( ret );
5444}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005445#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
5446 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
5447 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005448
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005449#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005450/*
5451 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
5452 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
5453 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005454static int ecp_mod_p192k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005455{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005456 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005457 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5458
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005459 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005460}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005461#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005462
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005463#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005464/*
5465 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
5466 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
5467 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005468static int ecp_mod_p224k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005469{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005470 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005471 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5472
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005473#if defined(MBEDTLS_HAVE_INT64)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005474 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
5475#else
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005476 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005477#endif
5478}
5479
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005480#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005481
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005482#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005483/*
5484 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
5485 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
5486 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005487static int ecp_mod_p256k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005488{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005489 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005490 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005491 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005492}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005493#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005494
Janos Follathb0697532016-08-18 12:38:46 +01005495#endif /* !MBEDTLS_ECP_ALT */
5496
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005497#endif /* MBEDTLS_ECP_C */