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Paul Bakker5121ce52009-01-03 21:22:43 +00001/**
2 * \file dhm.h
Paul Bakkere0ccd0a2009-01-04 16:27:10 +00003 *
Darryl Green11999bb2018-03-13 15:22:58 +00004 * \brief This file contains Diffie-Hellman-Merkle (DHM) key exchange
Rose Zadikee963592018-04-18 09:46:12 +01005 * definitions and functions.
Rose Zadikf763f2b2018-04-17 11:00:40 +01006 *
7 * Diffie-Hellman-Merkle (DHM) key exchange is defined in
Darryl Green11999bb2018-03-13 15:22:58 +00008 * <em>RFC-2631: Diffie-Hellman Key Agreement Method</em> and
9 * <em>Public-Key Cryptography Standards (PKCS) #3: Diffie
Rose Zadikf763f2b2018-04-17 11:00:40 +010010 * Hellman Key Agreement Standard</em>.
Rose Zadik41ad0822018-01-26 10:54:57 +000011 *
12 * <em>RFC-3526: More Modular Exponential (MODP) Diffie-Hellman groups for
13 * Internet Key Exchange (IKE)</em> defines a number of standardized
14 * Diffie-Hellman groups for IKE.
15 *
16 * <em>RFC-5114: Additional Diffie-Hellman Groups for Use with IETF
17 * Standards</em> defines a number of standardized Diffie-Hellman
18 * groups that can be used.
Paul Bakker37ca75d2011-01-06 12:28:03 +000019 *
Jaeden Amero784de592018-01-26 17:52:01 +000020 * \warning The security of the DHM key exchange relies on the proper choice
21 * of prime modulus - optimally, it should be a safe prime. The usage
22 * of non-safe primes both decreases the difficulty of the underlying
23 * discrete logarithm problem and can lead to small subgroup attacks
24 * leaking private exponent bits when invalid public keys are used
25 * and not detected. This is especially relevant if the same DHM
26 * parameters are reused for multiple key exchanges as in static DHM,
27 * while the criticality of small-subgroup attacks is lower for
28 * ephemeral DHM.
29 *
30 * \warning For performance reasons, the code does neither perform primality
31 * nor safe primality tests, nor the expensive checks for invalid
32 * subgroups. Moreover, even if these were performed, non-standardized
33 * primes cannot be trusted because of the possibility of backdoors
34 * that can't be effectively checked for.
35 *
36 * \warning Diffie-Hellman-Merkle is therefore a security risk when not using
37 * standardized primes generated using a trustworthy ("nothing up
38 * my sleeve") method, such as the RFC 3526 / 7919 primes. In the TLS
39 * protocol, DH parameters need to be negotiated, so using the default
40 * primes systematically is not always an option. If possible, use
41 * Elliptic Curve Diffie-Hellman (ECDH), which has better performance,
42 * and for which the TLS protocol mandates the use of standard
43 * parameters.
44 *
Darryl Greena40a1012018-01-05 15:33:17 +000045 */
46/*
Bence Szépkúti1e148272020-08-07 13:07:28 +020047 * Copyright The Mbed TLS Contributors
Manuel Pégourié-Gonnard37ff1402015-09-04 14:21:07 +020048 * SPDX-License-Identifier: Apache-2.0
49 *
50 * Licensed under the Apache License, Version 2.0 (the "License"); you may
51 * not use this file except in compliance with the License.
52 * You may obtain a copy of the License at
53 *
54 * http://www.apache.org/licenses/LICENSE-2.0
55 *
56 * Unless required by applicable law or agreed to in writing, software
57 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
58 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
59 * See the License for the specific language governing permissions and
60 * limitations under the License.
Paul Bakker5121ce52009-01-03 21:22:43 +000061 */
Rose Zadik41ad0822018-01-26 10:54:57 +000062
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020063#ifndef MBEDTLS_DHM_H
64#define MBEDTLS_DHM_H
Mateusz Starzyk846f0212021-05-19 19:44:07 +020065#include "mbedtls/private_access.h"
Paul Bakker5121ce52009-01-03 21:22:43 +000066
Reuven Levin1f35ca92017-12-07 10:09:32 +000067#if !defined(MBEDTLS_CONFIG_FILE)
Jaeden Ameroc49fbbf2019-07-04 20:01:14 +010068#include "mbedtls/config.h"
Reuven Levin1f35ca92017-12-07 10:09:32 +000069#else
70#include MBEDTLS_CONFIG_FILE
71#endif
Jaeden Ameroc49fbbf2019-07-04 20:01:14 +010072#include "mbedtls/bignum.h"
Reuven Levin1f35ca92017-12-07 10:09:32 +000073
Paul Bakkerf3b86c12011-01-27 15:24:17 +000074/*
75 * DHM Error codes
76 */
Rose Zadik41ad0822018-01-26 10:54:57 +000077#define MBEDTLS_ERR_DHM_BAD_INPUT_DATA -0x3080 /**< Bad input parameters. */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020078#define MBEDTLS_ERR_DHM_READ_PARAMS_FAILED -0x3100 /**< Reading of the DHM parameters failed. */
79#define MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED -0x3180 /**< Making of the DHM parameters failed. */
80#define MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED -0x3200 /**< Reading of the public values failed. */
81#define MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED -0x3280 /**< Making of the public value failed. */
82#define MBEDTLS_ERR_DHM_CALC_SECRET_FAILED -0x3300 /**< Calculation of the DHM secret failed. */
83#define MBEDTLS_ERR_DHM_INVALID_FORMAT -0x3380 /**< The ASN.1 data is not formatted correctly. */
Manuel Pégourié-Gonnard6a8ca332015-05-28 09:33:39 +020084#define MBEDTLS_ERR_DHM_ALLOC_FAILED -0x3400 /**< Allocation of memory failed. */
Rose Zadik41ad0822018-01-26 10:54:57 +000085#define MBEDTLS_ERR_DHM_FILE_IO_ERROR -0x3480 /**< Read or write of file failed. */
Jaeden Amero2acbf172018-01-26 20:57:38 +000086#define MBEDTLS_ERR_DHM_SET_GROUP_FAILED -0x3580 /**< Setting the modulus and generator failed. */
Paul Bakker29b64762012-09-25 09:36:44 +000087
Paul Bakker407a0da2013-06-27 14:29:21 +020088#ifdef __cplusplus
89extern "C" {
90#endif
91
Ron Eldor4e6d55d2018-02-07 16:36:15 +020092#if !defined(MBEDTLS_DHM_ALT)
93
Paul Bakker29b64762012-09-25 09:36:44 +000094/**
Rose Zadik41ad0822018-01-26 10:54:57 +000095 * \brief The DHM context structure.
Paul Bakkerf3b86c12011-01-27 15:24:17 +000096 */
Dawid Drozd428cc522018-07-24 10:02:47 +020097typedef struct mbedtls_dhm_context
Paul Bakker5121ce52009-01-03 21:22:43 +000098{
Mateusz Starzyk846f0212021-05-19 19:44:07 +020099 mbedtls_mpi MBEDTLS_PRIVATE(P); /*!< The prime modulus. */
100 mbedtls_mpi MBEDTLS_PRIVATE(G); /*!< The generator. */
101 mbedtls_mpi MBEDTLS_PRIVATE(X); /*!< Our secret value. */
102 mbedtls_mpi MBEDTLS_PRIVATE(GX); /*!< Our public key = \c G^X mod \c P. */
103 mbedtls_mpi MBEDTLS_PRIVATE(GY); /*!< The public key of the peer = \c G^Y mod \c P. */
104 mbedtls_mpi MBEDTLS_PRIVATE(K); /*!< The shared secret = \c G^(XY) mod \c P. */
105 mbedtls_mpi MBEDTLS_PRIVATE(RP); /*!< The cached value = \c R^2 mod \c P. */
106 mbedtls_mpi MBEDTLS_PRIVATE(Vi); /*!< The blinding value. */
107 mbedtls_mpi MBEDTLS_PRIVATE(Vf); /*!< The unblinding value. */
108 mbedtls_mpi MBEDTLS_PRIVATE(pX); /*!< The previous \c X. */
Paul Bakker5121ce52009-01-03 21:22:43 +0000109}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200110mbedtls_dhm_context;
Paul Bakker5121ce52009-01-03 21:22:43 +0000111
Ron Eldor4e6d55d2018-02-07 16:36:15 +0200112#else /* MBEDTLS_DHM_ALT */
113#include "dhm_alt.h"
114#endif /* MBEDTLS_DHM_ALT */
115
Paul Bakker5121ce52009-01-03 21:22:43 +0000116/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000117 * \brief This function initializes the DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200118 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000119 * \param ctx The DHM context to initialize.
Paul Bakker8f870b02014-06-20 13:32:38 +0200120 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200121void mbedtls_dhm_init( mbedtls_dhm_context *ctx );
Paul Bakker8f870b02014-06-20 13:32:38 +0200122
123/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500124 * \brief This function parses the DHM parameters in a
125 * TLS ServerKeyExchange handshake message
126 * (DHM modulus, generator, and public key).
Paul Bakker5121ce52009-01-03 21:22:43 +0000127 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500128 * \note In a TLS handshake, this is the how the client
129 * sets up its DHM context from the server's public
130 * DHM key material.
131 *
132 * \param ctx The DHM context to use. This must be initialized.
Hanno Beckerf240ea02017-10-02 15:09:14 +0100133 * \param p On input, *p must be the start of the input buffer.
134 * On output, *p is updated to point to the end of the data
135 * that has been read. On success, this is the first byte
136 * past the end of the ServerKeyExchange parameters.
137 * On error, this is the point at which an error has been
138 * detected, which is usually not useful except to debug
139 * failures.
Rose Zadik41ad0822018-01-26 10:54:57 +0000140 * \param end The end of the input buffer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000141 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100142 * \return \c 0 on success.
143 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000144 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200145int mbedtls_dhm_read_params( mbedtls_dhm_context *ctx,
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500146 unsigned char **p,
147 const unsigned char *end );
Paul Bakker5121ce52009-01-03 21:22:43 +0000148
149/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500150 * \brief This function generates a DHM key pair and exports its
151 * public part together with the DHM parameters in the format
152 * used in a TLS ServerKeyExchange handshake message.
Paul Bakker5121ce52009-01-03 21:22:43 +0000153 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500154 * \note This function assumes that the DHM parameters \c ctx->P
155 * and \c ctx->G have already been properly set. For that, use
Jaeden Amero9564e972018-01-30 16:56:13 +0000156 * mbedtls_dhm_set_group() below in conjunction with
157 * mbedtls_mpi_read_binary() and mbedtls_mpi_read_string().
Paul Bakker5121ce52009-01-03 21:22:43 +0000158 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500159 * \note In a TLS handshake, this is the how the server generates
160 * and exports its DHM key material.
161 *
162 * \param ctx The DHM context to use. This must be initialized
163 * and have the DHM parameters set. It may or may not
164 * already have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100165 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500166 * \param olen The address at which to store the number of Bytes
167 * written on success. This must not be \c NULL.
168 * \param output The destination buffer. This must be a writable buffer of
169 * sufficient size to hold the reduced binary presentation of
170 * the modulus, the generator and the public key, each wrapped
171 * with a 2-byte length field. It is the responsibility of the
172 * caller to ensure that enough space is available. Refer to
173 * mbedtls_mpi_size() to computing the byte-size of an MPI.
174 * \param f_rng The RNG function. Must not be \c NULL.
175 * \param p_rng The RNG context to be passed to \p f_rng. This may be
176 * \c NULL if \p f_rng doesn't need a context parameter.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100177 *
178 * \return \c 0 on success.
179 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000180 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200181int mbedtls_dhm_make_params( mbedtls_dhm_context *ctx, int x_size,
Paul Bakker23986e52011-04-24 08:57:21 +0000182 unsigned char *output, size_t *olen,
Paul Bakkera3d195c2011-11-27 21:07:34 +0000183 int (*f_rng)(void *, unsigned char *, size_t),
184 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000185
186/**
Rose Zadikf763f2b2018-04-17 11:00:40 +0100187 * \brief This function sets the prime modulus and generator.
188 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500189 * \note This function can be used to set \c ctx->P, \c ctx->G
Rose Zadikf763f2b2018-04-17 11:00:40 +0100190 * in preparation for mbedtls_dhm_make_params().
Hanno Becker8880e752017-10-04 13:15:08 +0100191 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500192 * \param ctx The DHM context to configure. This must be initialized.
193 * \param P The MPI holding the DHM prime modulus. This must be
194 * an initialized MPI.
195 * \param G The MPI holding the DHM generator. This must be an
196 * initialized MPI.
Hanno Becker8880e752017-10-04 13:15:08 +0100197 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100198 * \return \c 0 if successful.
199 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Hanno Becker8880e752017-10-04 13:15:08 +0100200 */
201int mbedtls_dhm_set_group( mbedtls_dhm_context *ctx,
202 const mbedtls_mpi *P,
203 const mbedtls_mpi *G );
204
205/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500206 * \brief This function imports the raw public value of the peer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000207 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500208 * \note In a TLS handshake, this is the how the server imports
209 * the Client's public DHM key.
210 *
211 * \param ctx The DHM context to use. This must be initialized and have
212 * its DHM parameters set, e.g. via mbedtls_dhm_set_group().
213 * It may or may not already have generated its own private key.
214 * \param input The input buffer containing the \c G^Y value of the peer.
215 * This must be a readable buffer of size \p ilen Bytes.
216 * \param ilen The size of the input buffer \p input in Bytes.
Paul Bakker5121ce52009-01-03 21:22:43 +0000217 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100218 * \return \c 0 on success.
219 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000220 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200221int mbedtls_dhm_read_public( mbedtls_dhm_context *ctx,
Paul Bakker23986e52011-04-24 08:57:21 +0000222 const unsigned char *input, size_t ilen );
Paul Bakker5121ce52009-01-03 21:22:43 +0000223
224/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500225 * \brief This function creates a DHM key pair and exports
226 * the raw public key in big-endian format.
Paul Bakker5121ce52009-01-03 21:22:43 +0000227 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100228 * \note The destination buffer is always fully written
229 * so as to contain a big-endian representation of G^X mod P.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500230 * If it is larger than \c ctx->len, it is padded accordingly
Rose Zadikf763f2b2018-04-17 11:00:40 +0100231 * with zero-bytes at the beginning.
232 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500233 * \param ctx The DHM context to use. This must be initialized and
234 * have the DHM parameters set. It may or may not already
235 * have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100236 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500237 * \param output The destination buffer. This must be a writable buffer of
238 * size \p olen Bytes.
239 * \param olen The length of the destination buffer. This must be at least
240 * equal to `ctx->len` (the size of \c P).
241 * \param f_rng The RNG function. This must not be \c NULL.
242 * \param p_rng The RNG context to be passed to \p f_rng. This may be \c NULL
243 * if \p f_rng doesn't need a context argument.
Paul Bakker5121ce52009-01-03 21:22:43 +0000244 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100245 * \return \c 0 on success.
246 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000247 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200248int mbedtls_dhm_make_public( mbedtls_dhm_context *ctx, int x_size,
Paul Bakker23986e52011-04-24 08:57:21 +0000249 unsigned char *output, size_t olen,
Paul Bakkera3d195c2011-11-27 21:07:34 +0000250 int (*f_rng)(void *, unsigned char *, size_t),
251 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000252
253/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500254 * \brief This function derives and exports the shared secret
255 * \c (G^Y)^X mod \c P.
Paul Bakker5121ce52009-01-03 21:22:43 +0000256 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500257 * \note If \p f_rng is not \c NULL, it is used to blind the input as
258 * a countermeasure against timing attacks. Blinding is used
259 * only if our private key \c X is re-used, and not used
260 * otherwise. We recommend always passing a non-NULL
261 * \p f_rng argument.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100262 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500263 * \param ctx The DHM context to use. This must be initialized
264 * and have its own private key generated and the peer's
265 * public key imported.
266 * \param output The buffer to write the generated shared key to. This
267 * must be a writable buffer of size \p output_size Bytes.
268 * \param output_size The size of the destination buffer. This must be at
269 * least the size of \c ctx->len (the size of \c P).
Rose Zadik41ad0822018-01-26 10:54:57 +0000270 * \param olen On exit, holds the actual number of Bytes written.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500271 * \param f_rng The RNG function, for blinding purposes. This may
272 * b \c NULL if blinding isn't needed.
273 * \param p_rng The RNG context. This may be \c NULL if \p f_rng
274 * doesn't need a context argument.
Paul Bakker5121ce52009-01-03 21:22:43 +0000275 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100276 * \return \c 0 on success.
277 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000278 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200279int mbedtls_dhm_calc_secret( mbedtls_dhm_context *ctx,
Manuel Pégourié-Gonnard33352052015-06-02 16:17:08 +0100280 unsigned char *output, size_t output_size, size_t *olen,
Manuel Pégourié-Gonnard2d627642013-09-04 14:22:07 +0200281 int (*f_rng)(void *, unsigned char *, size_t),
282 void *p_rng );
Paul Bakker5121ce52009-01-03 21:22:43 +0000283
Paul Bakker9a736322012-11-14 12:39:52 +0000284/**
Gilles Peskine487bbf62021-05-27 22:17:07 +0200285 * \brief This function returns the size of the prime modulus in bits.
286 *
287 * \param ctx The DHM context to query.
288 *
289 * \return The size of the prime modulus in bits,
290 * i.e. the number n such that 2^(n-1) <= P < 2^n.
291 */
292size_t mbedtls_dhm_get_bitlen( const mbedtls_dhm_context *ctx );
293
294/**
295 * \brief This function returns the size of the prime modulus in bytes.
296 *
297 * \param ctx The DHM context to query.
298 *
299 * \return The size of the prime modulus in bytes,
300 * i.e. the number n such that 2^(8*(n-1)) <= P < 2^(8*n).
301 */
302size_t mbedtls_dhm_get_len( const mbedtls_dhm_context *ctx );
303
304/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500305 * \brief This function frees and clears the components
306 * of a DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200307 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500308 * \param ctx The DHM context to free and clear. This may be \c NULL,
309 * in which case this function is a no-op. If it is not \c NULL,
310 * it must point to an initialized DHM context.
Paul Bakker5121ce52009-01-03 21:22:43 +0000311 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200312void mbedtls_dhm_free( mbedtls_dhm_context *ctx );
Paul Bakker5121ce52009-01-03 21:22:43 +0000313
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200314#if defined(MBEDTLS_ASN1_PARSE_C)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200315/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000316 * \brief This function parses DHM parameters in PEM or DER format.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200317 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500318 * \param dhm The DHM context to import the DHM parameters into.
319 * This must be initialized.
320 * \param dhmin The input buffer. This must be a readable buffer of
321 * length \p dhminlen Bytes.
322 * \param dhminlen The size of the input buffer \p dhmin, including the
323 * terminating \c NULL Byte for PEM data.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200324 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100325 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500326 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX error
327 * code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200328 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200329int mbedtls_dhm_parse_dhm( mbedtls_dhm_context *dhm, const unsigned char *dhmin,
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500330 size_t dhminlen );
Paul Bakker40ce79f2013-09-15 17:43:54 +0200331
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200332#if defined(MBEDTLS_FS_IO)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200333/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000334 * \brief This function loads and parses DHM parameters from a file.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200335 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000336 * \param dhm The DHM context to load the parameters to.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500337 * This must be initialized.
Rose Zadik41ad0822018-01-26 10:54:57 +0000338 * \param path The filename to read the DHM parameters from.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500339 * This must not be \c NULL.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200340 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100341 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500342 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX
343 * error code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200344 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200345int mbedtls_dhm_parse_dhmfile( mbedtls_dhm_context *dhm, const char *path );
346#endif /* MBEDTLS_FS_IO */
347#endif /* MBEDTLS_ASN1_PARSE_C */
nirekh01d569ecf2018-01-09 16:43:21 +0000348
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500349#if defined(MBEDTLS_SELF_TEST)
350
Paul Bakker5121ce52009-01-03 21:22:43 +0000351/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000352 * \brief The DMH checkup routine.
Paul Bakker5121ce52009-01-03 21:22:43 +0000353 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100354 * \return \c 0 on success.
355 * \return \c 1 on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000356 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200357int mbedtls_dhm_self_test( int verbose );
Paul Bakker5121ce52009-01-03 21:22:43 +0000358
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500359#endif /* MBEDTLS_SELF_TEST */
Paul Bakker5121ce52009-01-03 21:22:43 +0000360#ifdef __cplusplus
361}
362#endif
363
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100364/**
Gilles Peskined40f0072020-02-26 19:52:04 +0100365 * RFC 3526, RFC 5114 and RFC 7919 standardize a number of
366 * Diffie-Hellman groups, some of which are included here
367 * for use within the SSL/TLS module and the user's convenience
368 * when configuring the Diffie-Hellman parameters by hand
369 * through \c mbedtls_ssl_conf_dh_param.
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100370 *
Jaeden Amero9564e972018-01-30 16:56:13 +0000371 * The following lists the source of the above groups in the standards:
372 * - RFC 5114 section 2.2: 2048-bit MODP Group with 224-bit Prime Order Subgroup
373 * - RFC 3526 section 3: 2048-bit MODP Group
374 * - RFC 3526 section 4: 3072-bit MODP Group
375 * - RFC 3526 section 5: 4096-bit MODP Group
376 * - RFC 7919 section A.1: ffdhe2048
377 * - RFC 7919 section A.2: ffdhe3072
378 * - RFC 7919 section A.3: ffdhe4096
379 * - RFC 7919 section A.4: ffdhe6144
380 * - RFC 7919 section A.5: ffdhe8192
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100381 *
382 * The constants with suffix "_p" denote the chosen prime moduli, while
383 * the constants with suffix "_g" denote the chosen generator
384 * of the associated prime field.
385 *
386 * The constants further suffixed with "_bin" are provided in binary format,
387 * while all other constants represent null-terminated strings holding the
388 * hexadecimal presentation of the respective numbers.
389 *
390 * The primes from RFC 3526 and RFC 7919 have been generating by the following
391 * trust-worthy procedure:
392 * - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
393 * the first and last 64 bits are all 1, and the remaining N - 128 bits of
394 * which are 0x7ff...ff.
395 * - Add the smallest multiple of the first N - 129 bits of the binary expansion
396 * of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
397 * such that the resulting integer is a safe-prime.
398 * - The result is the respective RFC 3526 / 7919 prime, and the corresponding
399 * generator is always chosen to be 2 (which is a square for these prime,
400 * hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
401 * bit in the private exponent).
402 *
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100403 */
404
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100405/*
406 * Trustworthy DHM parameters in binary form
407 */
408
409#define MBEDTLS_DHM_RFC3526_MODP_2048_P_BIN { \
410 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
411 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
412 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
413 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
414 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
415 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
416 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
417 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
418 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
419 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
420 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
421 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
422 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
423 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
424 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
425 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
426 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
427 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
428 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
429 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
430 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
431 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
432 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
433 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
434 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
435 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
436 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
437 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
438 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
439 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
440 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, \
441 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
442
443#define MBEDTLS_DHM_RFC3526_MODP_2048_G_BIN { 0x02 }
444
445#define MBEDTLS_DHM_RFC3526_MODP_3072_P_BIN { \
446 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
447 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
448 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
449 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
450 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
451 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
452 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
453 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
454 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
455 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
456 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
457 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
458 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
459 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
460 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
461 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
462 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
463 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
464 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
465 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
466 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
467 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
468 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
469 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
470 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
471 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
472 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
473 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
474 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
475 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
476 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
477 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
478 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
479 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
480 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
481 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
482 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
483 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
484 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
485 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
486 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
487 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
488 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
489 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
490 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
491 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
492 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA, \
493 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
494
495#define MBEDTLS_DHM_RFC3526_MODP_3072_G_BIN { 0x02 }
496
497#define MBEDTLS_DHM_RFC3526_MODP_4096_P_BIN { \
498 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
499 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
500 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
501 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
502 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
503 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
504 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
505 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
506 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
507 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
508 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
509 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
510 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
511 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
512 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
513 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
514 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
515 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
516 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
517 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
518 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
519 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
520 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
521 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
522 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
523 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
524 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
525 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
526 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
527 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
528 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
529 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
530 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
531 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
532 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
533 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
534 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
535 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
536 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
537 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
538 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
539 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
540 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
541 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
542 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
543 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
544 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01, \
545 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, \
546 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, \
547 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C, \
548 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, \
549 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, \
550 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9, \
551 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, \
552 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, \
553 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2, \
554 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, \
555 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, \
556 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C, \
557 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, \
558 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, \
559 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F, \
560 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, \
561 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
562
563#define MBEDTLS_DHM_RFC3526_MODP_4096_G_BIN { 0x02 }
564
565#define MBEDTLS_DHM_RFC7919_FFDHE2048_P_BIN { \
566 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
567 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
568 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
569 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
570 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
571 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
572 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
573 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
574 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
575 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
576 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
577 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
578 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
579 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
580 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
581 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
582 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
583 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
584 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
585 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
586 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
587 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
588 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
589 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
590 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
591 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
592 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
593 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
594 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
595 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
596 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, \
597 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }
598
599#define MBEDTLS_DHM_RFC7919_FFDHE2048_G_BIN { 0x02 }
600
601#define MBEDTLS_DHM_RFC7919_FFDHE3072_P_BIN { \
602 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
603 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
604 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
605 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
606 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
607 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
608 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
609 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
610 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
611 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
612 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
613 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
614 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
615 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
616 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
617 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
618 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
619 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
620 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
621 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
622 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
623 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
624 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
625 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
626 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
627 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
628 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
629 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
630 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
631 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
632 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
633 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
634 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
635 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
636 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
637 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
638 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
639 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
640 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
641 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
642 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
643 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
644 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
645 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
646 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
647 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
648 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0xC6, 0x2E, 0x37, \
649 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
650
651#define MBEDTLS_DHM_RFC7919_FFDHE3072_G_BIN { 0x02 }
652
653#define MBEDTLS_DHM_RFC7919_FFDHE4096_P_BIN { \
654 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
655 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
656 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
657 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
658 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
659 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
660 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
661 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
662 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
663 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
664 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
665 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
666 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
667 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
668 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
669 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
670 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
671 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
672 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
673 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
674 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
675 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
676 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
677 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
678 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
679 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
680 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
681 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
682 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
683 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
684 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
685 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
686 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
687 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
688 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
689 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
690 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
691 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
692 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
693 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
694 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
695 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
696 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
697 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
698 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
699 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
700 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
701 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
702 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
703 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
704 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
705 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
706 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
707 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
708 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
709 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
710 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
711 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
712 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
713 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
714 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
715 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
716 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, \
717 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
718
719#define MBEDTLS_DHM_RFC7919_FFDHE4096_G_BIN { 0x02 }
720
721#define MBEDTLS_DHM_RFC7919_FFDHE6144_P_BIN { \
722 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
723 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
724 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
725 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
726 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
727 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
728 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
729 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
730 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
731 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
732 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
733 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
734 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
735 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
736 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
737 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
738 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
739 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
740 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
741 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
742 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
743 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
744 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
745 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
746 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
747 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
748 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
749 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
750 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
751 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
752 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
753 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
754 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
755 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
756 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
757 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
758 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
759 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
760 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
761 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
762 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
763 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
764 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
765 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
766 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
767 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
768 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
769 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
770 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
771 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
772 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
773 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
774 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
775 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
776 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
777 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
778 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
779 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
780 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
781 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
782 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
783 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
784 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
785 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
786 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
787 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
788 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
789 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
790 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
791 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
792 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
793 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
794 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
795 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
796 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
797 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
798 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
799 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
800 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
801 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
802 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
803 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
804 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
805 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
806 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
807 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
808 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
809 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
810 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
811 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
812 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
813 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
814 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
815 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
816 0xA4, 0x0E, 0x32, 0x9C, 0xD0, 0xE4, 0x0E, 0x65, \
817 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
818
819#define MBEDTLS_DHM_RFC7919_FFDHE6144_G_BIN { 0x02 }
820
821#define MBEDTLS_DHM_RFC7919_FFDHE8192_P_BIN { \
822 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
823 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
824 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
825 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
826 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
827 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
828 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
829 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
830 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
831 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
832 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
833 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
834 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
835 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
836 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
837 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
838 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
839 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
840 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
841 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
842 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
843 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
844 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
845 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
846 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
847 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
848 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
849 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
850 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
851 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
852 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
853 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
854 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
855 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
856 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
857 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
858 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
859 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
860 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
861 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
862 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
863 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
864 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
865 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
866 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
867 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
868 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
869 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
870 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
871 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
872 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
873 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
874 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
875 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
876 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
877 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
878 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
879 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
880 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
881 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
882 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
883 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
884 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
885 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
886 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
887 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
888 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
889 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
890 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
891 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
892 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
893 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
894 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
895 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
896 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
897 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
898 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
899 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
900 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
901 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
902 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
903 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
904 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
905 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
906 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
907 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
908 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
909 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
910 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
911 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
912 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
913 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
914 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
915 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
916 0xA4, 0x0E, 0x32, 0x9C, 0xCF, 0xF4, 0x6A, 0xAA, \
917 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, \
918 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, \
919 0xFD, 0xB2, 0x3F, 0xCE, 0xC9, 0x50, 0x9D, 0x43, \
920 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, \
921 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, \
922 0x86, 0xB6, 0x31, 0x42, 0xA3, 0xAB, 0x88, 0x29, \
923 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, \
924 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, \
925 0x29, 0x38, 0x88, 0x39, 0xD2, 0xAF, 0x05, 0xE4, \
926 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, \
927 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, \
928 0x59, 0x16, 0x0C, 0xC0, 0x46, 0xFD, 0x82, 0x51, \
929 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, \
930 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, \
931 0x51, 0xA8, 0xA9, 0x31, 0x09, 0x70, 0x3F, 0xEE, \
932 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, \
933 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, \
934 0x99, 0xE9, 0xE3, 0x16, 0x50, 0xC1, 0x21, 0x7B, \
935 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, \
936 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, \
937 0xA1, 0xFE, 0x30, 0x75, 0xA5, 0x77, 0xE2, 0x31, \
938 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, \
939 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, \
940 0xB6, 0x85, 0x5D, 0xFE, 0x72, 0xB0, 0xA6, 0x6E, \
941 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, \
942 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, \
943 0x2F, 0x74, 0x1E, 0xF8, 0xC1, 0xFE, 0x86, 0xFE, \
944 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, \
945 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, \
946 0x08, 0x22, 0xE5, 0x06, 0xA9, 0xF4, 0x61, 0x4E, \
947 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, \
948 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, \
949 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
950
951#define MBEDTLS_DHM_RFC7919_FFDHE8192_G_BIN { 0x02 }
952
Paul Bakker9af723c2014-05-01 13:03:14 +0200953#endif /* dhm.h */