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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
Bence Szépkútic662b362021-05-27 11:25:03 +020067#include "mbedtls/build_info.h"
Jaeden Ameroc49fbbf2019-07-04 20:01:14 +010068#include "mbedtls/bignum.h"
Reuven Levin1f35ca92017-12-07 10:09:32 +000069
Paul Bakkerf3b86c12011-01-27 15:24:17 +000070/*
71 * DHM Error codes
72 */
Gilles Peskined2971572021-07-26 18:48:10 +020073/** Bad input parameters. */
74#define MBEDTLS_ERR_DHM_BAD_INPUT_DATA -0x3080
75/** Reading of the DHM parameters failed. */
76#define MBEDTLS_ERR_DHM_READ_PARAMS_FAILED -0x3100
77/** Making of the DHM parameters failed. */
78#define MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED -0x3180
79/** Reading of the public values failed. */
80#define MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED -0x3200
81/** Making of the public value failed. */
82#define MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED -0x3280
83/** Calculation of the DHM secret failed. */
84#define MBEDTLS_ERR_DHM_CALC_SECRET_FAILED -0x3300
85/** The ASN.1 data is not formatted correctly. */
86#define MBEDTLS_ERR_DHM_INVALID_FORMAT -0x3380
87/** Allocation of memory failed. */
88#define MBEDTLS_ERR_DHM_ALLOC_FAILED -0x3400
89/** Read or write of file failed. */
90#define MBEDTLS_ERR_DHM_FILE_IO_ERROR -0x3480
91/** Setting the modulus and generator failed. */
92#define MBEDTLS_ERR_DHM_SET_GROUP_FAILED -0x3580
Paul Bakker29b64762012-09-25 09:36:44 +000093
Gilles Peskine71acc6e2021-05-27 22:50:53 +020094/** Which parameter to access in mbedtls_dhm_get_value(). */
Gilles Peskine449bd832023-01-11 14:50:10 +010095typedef enum {
Gilles Peskine71acc6e2021-05-27 22:50:53 +020096 MBEDTLS_DHM_PARAM_P, /*!< The prime modulus. */
97 MBEDTLS_DHM_PARAM_G, /*!< The generator. */
98 MBEDTLS_DHM_PARAM_X, /*!< Our secret value. */
99 MBEDTLS_DHM_PARAM_GX, /*!< Our public key = \c G^X mod \c P. */
100 MBEDTLS_DHM_PARAM_GY, /*!< The public key of the peer = \c G^Y mod \c P. */
101 MBEDTLS_DHM_PARAM_K, /*!< The shared secret = \c G^(XY) mod \c P. */
102} mbedtls_dhm_parameter;
103
Paul Bakker407a0da2013-06-27 14:29:21 +0200104#ifdef __cplusplus
105extern "C" {
106#endif
107
Ron Eldor4e6d55d2018-02-07 16:36:15 +0200108#if !defined(MBEDTLS_DHM_ALT)
109
Paul Bakker29b64762012-09-25 09:36:44 +0000110/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000111 * \brief The DHM context structure.
Paul Bakkerf3b86c12011-01-27 15:24:17 +0000112 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100113typedef struct mbedtls_dhm_context {
Mateusz Starzyk846f0212021-05-19 19:44:07 +0200114 mbedtls_mpi MBEDTLS_PRIVATE(P); /*!< The prime modulus. */
115 mbedtls_mpi MBEDTLS_PRIVATE(G); /*!< The generator. */
116 mbedtls_mpi MBEDTLS_PRIVATE(X); /*!< Our secret value. */
117 mbedtls_mpi MBEDTLS_PRIVATE(GX); /*!< Our public key = \c G^X mod \c P. */
118 mbedtls_mpi MBEDTLS_PRIVATE(GY); /*!< The public key of the peer = \c G^Y mod \c P. */
119 mbedtls_mpi MBEDTLS_PRIVATE(K); /*!< The shared secret = \c G^(XY) mod \c P. */
120 mbedtls_mpi MBEDTLS_PRIVATE(RP); /*!< The cached value = \c R^2 mod \c P. */
121 mbedtls_mpi MBEDTLS_PRIVATE(Vi); /*!< The blinding value. */
122 mbedtls_mpi MBEDTLS_PRIVATE(Vf); /*!< The unblinding value. */
123 mbedtls_mpi MBEDTLS_PRIVATE(pX); /*!< The previous \c X. */
Paul Bakker5121ce52009-01-03 21:22:43 +0000124}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200125mbedtls_dhm_context;
Paul Bakker5121ce52009-01-03 21:22:43 +0000126
Ron Eldor4e6d55d2018-02-07 16:36:15 +0200127#else /* MBEDTLS_DHM_ALT */
128#include "dhm_alt.h"
129#endif /* MBEDTLS_DHM_ALT */
130
Paul Bakker5121ce52009-01-03 21:22:43 +0000131/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000132 * \brief This function initializes the DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200133 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000134 * \param ctx The DHM context to initialize.
Paul Bakker8f870b02014-06-20 13:32:38 +0200135 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100136void mbedtls_dhm_init(mbedtls_dhm_context *ctx);
Paul Bakker8f870b02014-06-20 13:32:38 +0200137
138/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500139 * \brief This function parses the DHM parameters in a
140 * TLS ServerKeyExchange handshake message
141 * (DHM modulus, generator, and public key).
Paul Bakker5121ce52009-01-03 21:22:43 +0000142 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500143 * \note In a TLS handshake, this is the how the client
144 * sets up its DHM context from the server's public
145 * DHM key material.
146 *
147 * \param ctx The DHM context to use. This must be initialized.
Hanno Beckerf240ea02017-10-02 15:09:14 +0100148 * \param p On input, *p must be the start of the input buffer.
149 * On output, *p is updated to point to the end of the data
150 * that has been read. On success, this is the first byte
151 * past the end of the ServerKeyExchange parameters.
152 * On error, this is the point at which an error has been
153 * detected, which is usually not useful except to debug
154 * failures.
Rose Zadik41ad0822018-01-26 10:54:57 +0000155 * \param end The end of the input buffer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000156 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100157 * \return \c 0 on success.
158 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000159 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100160int mbedtls_dhm_read_params(mbedtls_dhm_context *ctx,
161 unsigned char **p,
162 const unsigned char *end);
Paul Bakker5121ce52009-01-03 21:22:43 +0000163
164/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500165 * \brief This function generates a DHM key pair and exports its
166 * public part together with the DHM parameters in the format
167 * used in a TLS ServerKeyExchange handshake message.
Paul Bakker5121ce52009-01-03 21:22:43 +0000168 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500169 * \note This function assumes that the DHM parameters \c ctx->P
170 * and \c ctx->G have already been properly set. For that, use
Jaeden Amero9564e972018-01-30 16:56:13 +0000171 * mbedtls_dhm_set_group() below in conjunction with
172 * mbedtls_mpi_read_binary() and mbedtls_mpi_read_string().
Paul Bakker5121ce52009-01-03 21:22:43 +0000173 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500174 * \note In a TLS handshake, this is the how the server generates
175 * and exports its DHM key material.
176 *
177 * \param ctx The DHM context to use. This must be initialized
178 * and have the DHM parameters set. It may or may not
179 * already have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100180 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500181 * \param olen The address at which to store the number of Bytes
182 * written on success. This must not be \c NULL.
183 * \param output The destination buffer. This must be a writable buffer of
184 * sufficient size to hold the reduced binary presentation of
185 * the modulus, the generator and the public key, each wrapped
186 * with a 2-byte length field. It is the responsibility of the
187 * caller to ensure that enough space is available. Refer to
188 * mbedtls_mpi_size() to computing the byte-size of an MPI.
189 * \param f_rng The RNG function. Must not be \c NULL.
190 * \param p_rng The RNG context to be passed to \p f_rng. This may be
191 * \c NULL if \p f_rng doesn't need a context parameter.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100192 *
193 * \return \c 0 on success.
194 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000195 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100196int mbedtls_dhm_make_params(mbedtls_dhm_context *ctx, int x_size,
197 unsigned char *output, size_t *olen,
198 int (*f_rng)(void *, unsigned char *, size_t),
199 void *p_rng);
Paul Bakker5121ce52009-01-03 21:22:43 +0000200
201/**
Rose Zadikf763f2b2018-04-17 11:00:40 +0100202 * \brief This function sets the prime modulus and generator.
203 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500204 * \note This function can be used to set \c ctx->P, \c ctx->G
Rose Zadikf763f2b2018-04-17 11:00:40 +0100205 * in preparation for mbedtls_dhm_make_params().
Hanno Becker8880e752017-10-04 13:15:08 +0100206 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500207 * \param ctx The DHM context to configure. This must be initialized.
208 * \param P The MPI holding the DHM prime modulus. This must be
209 * an initialized MPI.
210 * \param G The MPI holding the DHM generator. This must be an
211 * initialized MPI.
Hanno Becker8880e752017-10-04 13:15:08 +0100212 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100213 * \return \c 0 if successful.
214 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Hanno Becker8880e752017-10-04 13:15:08 +0100215 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100216int mbedtls_dhm_set_group(mbedtls_dhm_context *ctx,
217 const mbedtls_mpi *P,
218 const mbedtls_mpi *G);
Hanno Becker8880e752017-10-04 13:15:08 +0100219
220/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500221 * \brief This function imports the raw public value of the peer.
Paul Bakker5121ce52009-01-03 21:22:43 +0000222 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500223 * \note In a TLS handshake, this is the how the server imports
224 * the Client's public DHM key.
225 *
226 * \param ctx The DHM context to use. This must be initialized and have
227 * its DHM parameters set, e.g. via mbedtls_dhm_set_group().
228 * It may or may not already have generated its own private key.
229 * \param input The input buffer containing the \c G^Y value of the peer.
230 * This must be a readable buffer of size \p ilen Bytes.
231 * \param ilen The size of the input buffer \p input in Bytes.
Paul Bakker5121ce52009-01-03 21:22:43 +0000232 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100233 * \return \c 0 on success.
234 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000235 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100236int mbedtls_dhm_read_public(mbedtls_dhm_context *ctx,
237 const unsigned char *input, size_t ilen);
Paul Bakker5121ce52009-01-03 21:22:43 +0000238
239/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500240 * \brief This function creates a DHM key pair and exports
241 * the raw public key in big-endian format.
Paul Bakker5121ce52009-01-03 21:22:43 +0000242 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100243 * \note The destination buffer is always fully written
244 * so as to contain a big-endian representation of G^X mod P.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500245 * If it is larger than \c ctx->len, it is padded accordingly
Rose Zadikf763f2b2018-04-17 11:00:40 +0100246 * with zero-bytes at the beginning.
247 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500248 * \param ctx The DHM context to use. This must be initialized and
249 * have the DHM parameters set. It may or may not already
250 * have imported the peer's public key.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100251 * \param x_size The private key size in Bytes.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500252 * \param output The destination buffer. This must be a writable buffer of
253 * size \p olen Bytes.
254 * \param olen The length of the destination buffer. This must be at least
255 * equal to `ctx->len` (the size of \c P).
256 * \param f_rng The RNG function. This must not be \c NULL.
257 * \param p_rng The RNG context to be passed to \p f_rng. This may be \c NULL
258 * if \p f_rng doesn't need a context argument.
Paul Bakker5121ce52009-01-03 21:22:43 +0000259 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100260 * \return \c 0 on success.
261 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000262 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100263int mbedtls_dhm_make_public(mbedtls_dhm_context *ctx, int x_size,
264 unsigned char *output, size_t olen,
265 int (*f_rng)(void *, unsigned char *, size_t),
266 void *p_rng);
Paul Bakker5121ce52009-01-03 21:22:43 +0000267
268/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500269 * \brief This function derives and exports the shared secret
270 * \c (G^Y)^X mod \c P.
Paul Bakker5121ce52009-01-03 21:22:43 +0000271 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500272 * \note If \p f_rng is not \c NULL, it is used to blind the input as
273 * a countermeasure against timing attacks. Blinding is used
274 * only if our private key \c X is re-used, and not used
275 * otherwise. We recommend always passing a non-NULL
276 * \p f_rng argument.
Rose Zadikf763f2b2018-04-17 11:00:40 +0100277 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500278 * \param ctx The DHM context to use. This must be initialized
279 * and have its own private key generated and the peer's
280 * public key imported.
281 * \param output The buffer to write the generated shared key to. This
282 * must be a writable buffer of size \p output_size Bytes.
283 * \param output_size The size of the destination buffer. This must be at
284 * least the size of \c ctx->len (the size of \c P).
Rose Zadik41ad0822018-01-26 10:54:57 +0000285 * \param olen On exit, holds the actual number of Bytes written.
Manuel Pégourié-Gonnard1a877222021-06-15 11:29:26 +0200286 * \param f_rng The RNG function. Must not be \c NULL. Used for
287 * blinding.
288 * \param p_rng The RNG context to be passed to \p f_rng. This may be
289 * \c NULL if \p f_rng doesn't need a context parameter.
Paul Bakker5121ce52009-01-03 21:22:43 +0000290 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100291 * \return \c 0 on success.
292 * \return An \c MBEDTLS_ERR_DHM_XXX error code on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000293 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100294int mbedtls_dhm_calc_secret(mbedtls_dhm_context *ctx,
295 unsigned char *output, size_t output_size, size_t *olen,
296 int (*f_rng)(void *, unsigned char *, size_t),
297 void *p_rng);
Paul Bakker5121ce52009-01-03 21:22:43 +0000298
Paul Bakker9a736322012-11-14 12:39:52 +0000299/**
Gilles Peskine487bbf62021-05-27 22:17:07 +0200300 * \brief This function returns the size of the prime modulus in bits.
301 *
302 * \param ctx The DHM context to query.
303 *
304 * \return The size of the prime modulus in bits,
305 * i.e. the number n such that 2^(n-1) <= P < 2^n.
306 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100307size_t mbedtls_dhm_get_bitlen(const mbedtls_dhm_context *ctx);
Gilles Peskine487bbf62021-05-27 22:17:07 +0200308
309/**
310 * \brief This function returns the size of the prime modulus in bytes.
311 *
312 * \param ctx The DHM context to query.
313 *
314 * \return The size of the prime modulus in bytes,
315 * i.e. the number n such that 2^(8*(n-1)) <= P < 2^(8*n).
316 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100317size_t mbedtls_dhm_get_len(const mbedtls_dhm_context *ctx);
Gilles Peskine487bbf62021-05-27 22:17:07 +0200318
319/**
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200320 * \brief This function copies a parameter of a DHM key.
321 *
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200322 * \param ctx The DHM context to query.
323 * \param param The parameter to copy.
Gilles Peskinee5702482021-06-11 21:59:08 +0200324 * \param dest The MPI object to copy the value into. It must be
325 * initialized.
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200326 *
327 * \return \c 0 on success.
Andrzej Kurek3bedb5b2022-02-17 14:39:00 -0500328 * \return #MBEDTLS_ERR_DHM_BAD_INPUT_DATA if \p param is invalid.
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200329 * \return An \c MBEDTLS_ERR_MPI_XXX error code if the copy fails.
330 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100331int mbedtls_dhm_get_value(const mbedtls_dhm_context *ctx,
332 mbedtls_dhm_parameter param,
333 mbedtls_mpi *dest);
Gilles Peskine71acc6e2021-05-27 22:50:53 +0200334
335/**
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500336 * \brief This function frees and clears the components
337 * of a DHM context.
Paul Bakker8f870b02014-06-20 13:32:38 +0200338 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500339 * \param ctx The DHM context to free and clear. This may be \c NULL,
340 * in which case this function is a no-op. If it is not \c NULL,
341 * it must point to an initialized DHM context.
Paul Bakker5121ce52009-01-03 21:22:43 +0000342 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100343void mbedtls_dhm_free(mbedtls_dhm_context *ctx);
Paul Bakker5121ce52009-01-03 21:22:43 +0000344
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200345#if defined(MBEDTLS_ASN1_PARSE_C)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200346/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000347 * \brief This function parses DHM parameters in PEM or DER format.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200348 *
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500349 * \param dhm The DHM context to import the DHM parameters into.
350 * This must be initialized.
351 * \param dhmin The input buffer. This must be a readable buffer of
352 * length \p dhminlen Bytes.
353 * \param dhminlen The size of the input buffer \p dhmin, including the
354 * terminating \c NULL Byte for PEM data.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200355 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100356 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500357 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX error
358 * code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200359 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100360int mbedtls_dhm_parse_dhm(mbedtls_dhm_context *dhm, const unsigned char *dhmin,
361 size_t dhminlen);
Paul Bakker40ce79f2013-09-15 17:43:54 +0200362
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200363#if defined(MBEDTLS_FS_IO)
Paul Bakker40ce79f2013-09-15 17:43:54 +0200364/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000365 * \brief This function loads and parses DHM parameters from a file.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200366 *
Rose Zadik41ad0822018-01-26 10:54:57 +0000367 * \param dhm The DHM context to load the parameters to.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500368 * This must be initialized.
Rose Zadik41ad0822018-01-26 10:54:57 +0000369 * \param path The filename to read the DHM parameters from.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500370 * This must not be \c NULL.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200371 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100372 * \return \c 0 on success.
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500373 * \return An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX
374 * error code on failure.
Paul Bakker40ce79f2013-09-15 17:43:54 +0200375 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100376int mbedtls_dhm_parse_dhmfile(mbedtls_dhm_context *dhm, const char *path);
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200377#endif /* MBEDTLS_FS_IO */
378#endif /* MBEDTLS_ASN1_PARSE_C */
nirekh01d569ecf2018-01-09 16:43:21 +0000379
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500380#if defined(MBEDTLS_SELF_TEST)
381
Paul Bakker5121ce52009-01-03 21:22:43 +0000382/**
Rose Zadik41ad0822018-01-26 10:54:57 +0000383 * \brief The DMH checkup routine.
Paul Bakker5121ce52009-01-03 21:22:43 +0000384 *
Rose Zadikf763f2b2018-04-17 11:00:40 +0100385 * \return \c 0 on success.
386 * \return \c 1 on failure.
Paul Bakker5121ce52009-01-03 21:22:43 +0000387 */
Gilles Peskine449bd832023-01-11 14:50:10 +0100388int mbedtls_dhm_self_test(int verbose);
Paul Bakker5121ce52009-01-03 21:22:43 +0000389
Andrzej Kurekc470b6b2019-01-31 08:20:20 -0500390#endif /* MBEDTLS_SELF_TEST */
Paul Bakker5121ce52009-01-03 21:22:43 +0000391#ifdef __cplusplus
392}
393#endif
394
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100395/**
Gilles Peskined40f0072020-02-26 19:52:04 +0100396 * RFC 3526, RFC 5114 and RFC 7919 standardize a number of
397 * Diffie-Hellman groups, some of which are included here
398 * for use within the SSL/TLS module and the user's convenience
399 * when configuring the Diffie-Hellman parameters by hand
400 * through \c mbedtls_ssl_conf_dh_param.
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100401 *
Jaeden Amero9564e972018-01-30 16:56:13 +0000402 * The following lists the source of the above groups in the standards:
403 * - RFC 5114 section 2.2: 2048-bit MODP Group with 224-bit Prime Order Subgroup
404 * - RFC 3526 section 3: 2048-bit MODP Group
405 * - RFC 3526 section 4: 3072-bit MODP Group
406 * - RFC 3526 section 5: 4096-bit MODP Group
407 * - RFC 7919 section A.1: ffdhe2048
408 * - RFC 7919 section A.2: ffdhe3072
409 * - RFC 7919 section A.3: ffdhe4096
410 * - RFC 7919 section A.4: ffdhe6144
411 * - RFC 7919 section A.5: ffdhe8192
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100412 *
413 * The constants with suffix "_p" denote the chosen prime moduli, while
414 * the constants with suffix "_g" denote the chosen generator
415 * of the associated prime field.
416 *
417 * The constants further suffixed with "_bin" are provided in binary format,
418 * while all other constants represent null-terminated strings holding the
419 * hexadecimal presentation of the respective numbers.
420 *
421 * The primes from RFC 3526 and RFC 7919 have been generating by the following
422 * trust-worthy procedure:
423 * - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
424 * the first and last 64 bits are all 1, and the remaining N - 128 bits of
425 * which are 0x7ff...ff.
426 * - Add the smallest multiple of the first N - 129 bits of the binary expansion
427 * of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
428 * such that the resulting integer is a safe-prime.
429 * - The result is the respective RFC 3526 / 7919 prime, and the corresponding
430 * generator is always chosen to be 2 (which is a square for these prime,
431 * hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
432 * bit in the private exponent).
433 *
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100434 */
435
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100436/*
437 * Trustworthy DHM parameters in binary form
438 */
439
440#define MBEDTLS_DHM_RFC3526_MODP_2048_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100441 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
442 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
443 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
444 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
445 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
446 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
447 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
448 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
449 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
450 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
451 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
452 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
453 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
454 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
455 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
456 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
457 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
458 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
459 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
460 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
461 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
462 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
463 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
464 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
465 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
466 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
467 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
468 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
469 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
470 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
471 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, \
472 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100473
474#define MBEDTLS_DHM_RFC3526_MODP_2048_G_BIN { 0x02 }
475
476#define MBEDTLS_DHM_RFC3526_MODP_3072_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100477 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
478 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
479 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
480 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
481 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
482 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
483 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
484 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
485 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
486 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
487 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
488 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
489 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
490 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
491 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
492 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
493 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
494 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
495 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
496 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
497 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
498 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
499 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
500 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
501 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
502 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
503 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
504 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
505 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
506 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
507 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
508 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
509 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
510 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
511 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
512 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
513 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
514 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
515 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
516 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
517 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
518 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
519 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
520 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
521 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
522 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
523 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA, \
524 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100525
526#define MBEDTLS_DHM_RFC3526_MODP_3072_G_BIN { 0x02 }
527
528#define MBEDTLS_DHM_RFC3526_MODP_4096_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100529 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
530 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
531 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
532 0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
533 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
534 0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
535 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
536 0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
537 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
538 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
539 0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
540 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
541 0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
542 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
543 0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
544 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
545 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
546 0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
547 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
548 0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
549 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
550 0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
551 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
552 0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
553 0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
554 0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
555 0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
556 0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
557 0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
558 0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
559 0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
560 0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
561 0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
562 0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
563 0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
564 0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
565 0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
566 0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
567 0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
568 0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
569 0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
570 0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
571 0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
572 0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
573 0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
574 0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
575 0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01, \
576 0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7, \
577 0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26, \
578 0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C, \
579 0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA, \
580 0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8, \
581 0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9, \
582 0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6, \
583 0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D, \
584 0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2, \
585 0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED, \
586 0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF, \
587 0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C, \
588 0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9, \
589 0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1, \
590 0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F, \
591 0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99, \
592 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100593
594#define MBEDTLS_DHM_RFC3526_MODP_4096_G_BIN { 0x02 }
595
596#define MBEDTLS_DHM_RFC7919_FFDHE2048_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100597 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
598 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
599 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
600 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
601 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
602 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
603 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
604 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
605 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
606 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
607 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
608 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
609 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
610 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
611 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
612 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
613 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
614 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
615 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
616 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
617 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
618 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
619 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
620 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
621 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
622 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
623 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
624 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
625 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
626 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
627 0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, \
628 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100629
630#define MBEDTLS_DHM_RFC7919_FFDHE2048_G_BIN { 0x02 }
631
632#define MBEDTLS_DHM_RFC7919_FFDHE3072_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100633 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
634 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
635 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
636 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
637 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
638 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
639 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
640 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
641 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
642 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
643 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
644 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
645 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
646 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
647 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
648 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
649 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
650 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
651 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
652 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
653 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
654 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
655 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
656 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
657 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
658 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
659 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
660 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
661 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
662 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
663 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
664 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
665 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
666 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
667 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
668 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
669 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
670 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
671 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
672 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
673 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
674 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
675 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
676 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
677 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
678 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
679 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0xC6, 0x2E, 0x37, \
680 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100681
682#define MBEDTLS_DHM_RFC7919_FFDHE3072_G_BIN { 0x02 }
683
684#define MBEDTLS_DHM_RFC7919_FFDHE4096_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100685 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
686 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
687 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
688 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
689 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
690 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
691 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
692 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
693 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
694 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
695 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
696 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
697 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
698 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
699 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
700 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
701 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
702 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
703 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
704 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
705 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
706 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
707 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
708 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
709 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
710 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
711 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
712 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
713 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
714 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
715 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
716 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
717 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
718 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
719 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
720 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
721 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
722 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
723 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
724 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
725 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
726 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
727 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
728 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
729 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
730 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
731 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
732 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
733 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
734 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
735 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
736 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
737 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
738 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
739 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
740 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
741 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
742 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
743 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
744 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
745 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
746 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
747 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, \
748 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100749
750#define MBEDTLS_DHM_RFC7919_FFDHE4096_G_BIN { 0x02 }
751
752#define MBEDTLS_DHM_RFC7919_FFDHE6144_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100753 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
754 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
755 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
756 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
757 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
758 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
759 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
760 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
761 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
762 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
763 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
764 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
765 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
766 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
767 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
768 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
769 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
770 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
771 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
772 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
773 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
774 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
775 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
776 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
777 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
778 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
779 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
780 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
781 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
782 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
783 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
784 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
785 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
786 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
787 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
788 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
789 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
790 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
791 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
792 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
793 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
794 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
795 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
796 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
797 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
798 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
799 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
800 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
801 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
802 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
803 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
804 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
805 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
806 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
807 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
808 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
809 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
810 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
811 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
812 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
813 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
814 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
815 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
816 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
817 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
818 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
819 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
820 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
821 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
822 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
823 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
824 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
825 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
826 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
827 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
828 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
829 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
830 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
831 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
832 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
833 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
834 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
835 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
836 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
837 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
838 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
839 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
840 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
841 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
842 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
843 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
844 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
845 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
846 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
847 0xA4, 0x0E, 0x32, 0x9C, 0xD0, 0xE4, 0x0E, 0x65, \
848 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100849
850#define MBEDTLS_DHM_RFC7919_FFDHE6144_G_BIN { 0x02 }
851
852#define MBEDTLS_DHM_RFC7919_FFDHE8192_P_BIN { \
Gilles Peskine449bd832023-01-11 14:50:10 +0100853 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
854 0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
855 0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
856 0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
857 0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
858 0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
859 0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
860 0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
861 0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
862 0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
863 0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
864 0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
865 0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
866 0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
867 0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
868 0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
869 0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
870 0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
871 0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
872 0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
873 0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
874 0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
875 0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
876 0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
877 0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
878 0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
879 0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
880 0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
881 0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
882 0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
883 0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
884 0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
885 0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
886 0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
887 0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
888 0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
889 0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
890 0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
891 0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
892 0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
893 0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
894 0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
895 0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
896 0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
897 0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
898 0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
899 0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
900 0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
901 0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
902 0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
903 0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
904 0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
905 0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
906 0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
907 0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
908 0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
909 0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
910 0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
911 0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
912 0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
913 0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
914 0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
915 0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
916 0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
917 0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
918 0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
919 0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
920 0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
921 0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
922 0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
923 0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
924 0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
925 0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
926 0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
927 0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
928 0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
929 0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
930 0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
931 0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
932 0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
933 0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
934 0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
935 0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
936 0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
937 0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
938 0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
939 0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
940 0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
941 0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
942 0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
943 0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
944 0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
945 0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
946 0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
947 0xA4, 0x0E, 0x32, 0x9C, 0xCF, 0xF4, 0x6A, 0xAA, \
948 0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, \
949 0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, \
950 0xFD, 0xB2, 0x3F, 0xCE, 0xC9, 0x50, 0x9D, 0x43, \
951 0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, \
952 0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, \
953 0x86, 0xB6, 0x31, 0x42, 0xA3, 0xAB, 0x88, 0x29, \
954 0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, \
955 0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, \
956 0x29, 0x38, 0x88, 0x39, 0xD2, 0xAF, 0x05, 0xE4, \
957 0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, \
958 0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, \
959 0x59, 0x16, 0x0C, 0xC0, 0x46, 0xFD, 0x82, 0x51, \
960 0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, \
961 0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, \
962 0x51, 0xA8, 0xA9, 0x31, 0x09, 0x70, 0x3F, 0xEE, \
963 0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, \
964 0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, \
965 0x99, 0xE9, 0xE3, 0x16, 0x50, 0xC1, 0x21, 0x7B, \
966 0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, \
967 0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, \
968 0xA1, 0xFE, 0x30, 0x75, 0xA5, 0x77, 0xE2, 0x31, \
969 0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, \
970 0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, \
971 0xB6, 0x85, 0x5D, 0xFE, 0x72, 0xB0, 0xA6, 0x6E, \
972 0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, \
973 0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, \
974 0x2F, 0x74, 0x1E, 0xF8, 0xC1, 0xFE, 0x86, 0xFE, \
975 0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, \
976 0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, \
977 0x08, 0x22, 0xE5, 0x06, 0xA9, 0xF4, 0x61, 0x4E, \
978 0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, \
979 0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, \
980 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
Hanno Beckere2fcfa82017-10-04 13:12:15 +0100981
982#define MBEDTLS_DHM_RFC7919_FFDHE8192_G_BIN { 0x02 }
983
Paul Bakker9af723c2014-05-01 13:03:14 +0200984#endif /* dhm.h */