1 /**
2  * \file dhm.h
3  *
4  * \brief   This file contains Diffie-Hellman-Merkle (DHM) key exchange
5  *          definitions and functions.
6  *
7  * Diffie-Hellman-Merkle (DHM) key exchange is defined in
8  * <em>RFC-2631: Diffie-Hellman Key Agreement Method</em> and
9  * <em>Public-Key Cryptography Standards (PKCS) #3: Diffie
10  * Hellman Key Agreement Standard</em>.
11  *
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.
19  *
20  * \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  *
45  */
46 /*
47  *  Copyright (C) 2006-2018, Arm Limited (or its affiliates), All Rights Reserved
48  *  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.
61  *
62  *  This file is part of Mbed TLS (https://tls.mbed.org)
63  */
64 
65 #ifndef MBEDTLS_DHM_H
66 #define MBEDTLS_DHM_H
67 
68 #if !defined(MBEDTLS_CONFIG_FILE)
69 #include "config.h"
70 #else
71 #include MBEDTLS_CONFIG_FILE
72 #endif
73 #include "bignum.h"
74 
75 /*
76  * DHM Error codes
77  */
78 #define MBEDTLS_ERR_DHM_BAD_INPUT_DATA                    -0x3080  /**< Bad input parameters. */
79 #define MBEDTLS_ERR_DHM_READ_PARAMS_FAILED                -0x3100  /**< Reading of the DHM parameters failed. */
80 #define MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED                -0x3180  /**< Making of the DHM parameters failed. */
81 #define MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED                -0x3200  /**< Reading of the public values failed. */
82 #define MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED                -0x3280  /**< Making of the public value failed. */
83 #define MBEDTLS_ERR_DHM_CALC_SECRET_FAILED                -0x3300  /**< Calculation of the DHM secret failed. */
84 #define MBEDTLS_ERR_DHM_INVALID_FORMAT                    -0x3380  /**< The ASN.1 data is not formatted correctly. */
85 #define MBEDTLS_ERR_DHM_ALLOC_FAILED                      -0x3400  /**< Allocation of memory failed. */
86 #define MBEDTLS_ERR_DHM_FILE_IO_ERROR                     -0x3480  /**< Read or write of file failed. */
87 
88 /* MBEDTLS_ERR_DHM_HW_ACCEL_FAILED is deprecated and should not be used. */
89 #define MBEDTLS_ERR_DHM_HW_ACCEL_FAILED                   -0x3500  /**< DHM hardware accelerator failed. */
90 
91 #define MBEDTLS_ERR_DHM_SET_GROUP_FAILED                  -0x3580  /**< Setting the modulus and generator failed. */
92 
93 #ifdef __cplusplus
94 extern "C" {
95 #endif
96 
97 #if !defined(MBEDTLS_DHM_ALT)
98 
99 /**
100  * \brief          The DHM context structure.
101  */
102 typedef struct mbedtls_dhm_context
103 {
104     size_t len;         /*!<  The size of \p P in Bytes. */
105     mbedtls_mpi P;      /*!<  The prime modulus. */
106     mbedtls_mpi G;      /*!<  The generator. */
107     mbedtls_mpi X;      /*!<  Our secret value. */
108     mbedtls_mpi GX;     /*!<  Our public key = \c G^X mod \c P. */
109     mbedtls_mpi GY;     /*!<  The public key of the peer = \c G^Y mod \c P. */
110     mbedtls_mpi K;      /*!<  The shared secret = \c G^(XY) mod \c P. */
111     mbedtls_mpi RP;     /*!<  The cached value = \c R^2 mod \c P. */
112     mbedtls_mpi Vi;     /*!<  The blinding value. */
113     mbedtls_mpi Vf;     /*!<  The unblinding value. */
114     mbedtls_mpi pX;     /*!<  The previous \c X. */
115 }
116 mbedtls_dhm_context;
117 
118 #else /* MBEDTLS_DHM_ALT */
119 #include "dhm_alt.h"
120 #endif /* MBEDTLS_DHM_ALT */
121 
122 /**
123  * \brief          This function initializes the DHM context.
124  *
125  * \param ctx      The DHM context to initialize.
126  */
127 void mbedtls_dhm_init( mbedtls_dhm_context *ctx );
128 
129 /**
130  * \brief          This function parses the DHM parameters in a
131  *                 TLS ServerKeyExchange handshake message
132  *                 (DHM modulus, generator, and public key).
133  *
134  * \note           In a TLS handshake, this is the how the client
135  *                 sets up its DHM context from the server's public
136  *                 DHM key material.
137  *
138  * \param ctx      The DHM context to use. This must be initialized.
139  * \param p        On input, *p must be the start of the input buffer.
140  *                 On output, *p is updated to point to the end of the data
141  *                 that has been read. On success, this is the first byte
142  *                 past the end of the ServerKeyExchange parameters.
143  *                 On error, this is the point at which an error has been
144  *                 detected, which is usually not useful except to debug
145  *                 failures.
146  * \param end      The end of the input buffer.
147  *
148  * \return         \c 0 on success.
149  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
150  */
151 int mbedtls_dhm_read_params( mbedtls_dhm_context *ctx,
152                              unsigned char **p,
153                              const unsigned char *end );
154 
155 /**
156  * \brief          This function generates a DHM key pair and exports its
157  *                 public part together with the DHM parameters in the format
158  *                 used in a TLS ServerKeyExchange handshake message.
159  *
160  * \note           This function assumes that the DHM parameters \c ctx->P
161  *                 and \c ctx->G have already been properly set. For that, use
162  *                 mbedtls_dhm_set_group() below in conjunction with
163  *                 mbedtls_mpi_read_binary() and mbedtls_mpi_read_string().
164  *
165  * \note           In a TLS handshake, this is the how the server generates
166  *                 and exports its DHM key material.
167  *
168  * \param ctx      The DHM context to use. This must be initialized
169  *                 and have the DHM parameters set. It may or may not
170  *                 already have imported the peer's public key.
171  * \param x_size   The private key size in Bytes.
172  * \param olen     The address at which to store the number of Bytes
173  *                 written on success. This must not be \c NULL.
174  * \param output   The destination buffer. This must be a writable buffer of
175  *                 sufficient size to hold the reduced binary presentation of
176  *                 the modulus, the generator and the public key, each wrapped
177  *                 with a 2-byte length field. It is the responsibility of the
178  *                 caller to ensure that enough space is available. Refer to
179  *                 mbedtls_mpi_size() to computing the byte-size of an MPI.
180  * \param f_rng    The RNG function. Must not be \c NULL.
181  * \param p_rng    The RNG context to be passed to \p f_rng. This may be
182  *                 \c NULL if \p f_rng doesn't need a context parameter.
183  *
184  * \return         \c 0 on success.
185  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
186  */
187 int mbedtls_dhm_make_params( mbedtls_dhm_context *ctx, int x_size,
188                      unsigned char *output, size_t *olen,
189                      int (*f_rng)(void *, unsigned char *, size_t),
190                      void *p_rng );
191 
192 /**
193  * \brief          This function sets the prime modulus and generator.
194  *
195  * \note           This function can be used to set \c ctx->P, \c ctx->G
196  *                 in preparation for mbedtls_dhm_make_params().
197  *
198  * \param ctx      The DHM context to configure. This must be initialized.
199  * \param P        The MPI holding the DHM prime modulus. This must be
200  *                 an initialized MPI.
201  * \param G        The MPI holding the DHM generator. This must be an
202  *                 initialized MPI.
203  *
204  * \return         \c 0 if successful.
205  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
206  */
207 int mbedtls_dhm_set_group( mbedtls_dhm_context *ctx,
208                            const mbedtls_mpi *P,
209                            const mbedtls_mpi *G );
210 
211 /**
212  * \brief          This function imports the raw public value of the peer.
213  *
214  * \note           In a TLS handshake, this is the how the server imports
215  *                 the Client's public DHM key.
216  *
217  * \param ctx      The DHM context to use. This must be initialized and have
218  *                 its DHM parameters set, e.g. via mbedtls_dhm_set_group().
219  *                 It may or may not already have generated its own private key.
220  * \param input    The input buffer containing the \c G^Y value of the peer.
221  *                 This must be a readable buffer of size \p ilen Bytes.
222  * \param ilen     The size of the input buffer \p input in Bytes.
223  *
224  * \return         \c 0 on success.
225  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
226  */
227 int mbedtls_dhm_read_public( mbedtls_dhm_context *ctx,
228                      const unsigned char *input, size_t ilen );
229 
230 /**
231  * \brief          This function creates a DHM key pair and exports
232  *                 the raw public key in big-endian format.
233  *
234  * \note           The destination buffer is always fully written
235  *                 so as to contain a big-endian representation of G^X mod P.
236  *                 If it is larger than \c ctx->len, it is padded accordingly
237  *                 with zero-bytes at the beginning.
238  *
239  * \param ctx      The DHM context to use. This must be initialized and
240  *                 have the DHM parameters set. It may or may not already
241  *                 have imported the peer's public key.
242  * \param x_size   The private key size in Bytes.
243  * \param output   The destination buffer. This must be a writable buffer of
244  *                 size \p olen Bytes.
245  * \param olen     The length of the destination buffer. This must be at least
246  *                 equal to `ctx->len` (the size of \c P).
247  * \param f_rng    The RNG function. This must not be \c NULL.
248  * \param p_rng    The RNG context to be passed to \p f_rng. This may be \c NULL
249  *                 if \p f_rng doesn't need a context argument.
250  *
251  * \return         \c 0 on success.
252  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
253  */
254 int mbedtls_dhm_make_public( mbedtls_dhm_context *ctx, int x_size,
255                      unsigned char *output, size_t olen,
256                      int (*f_rng)(void *, unsigned char *, size_t),
257                      void *p_rng );
258 
259 /**
260  * \brief          This function derives and exports the shared secret
261  *                 \c (G^Y)^X mod \c P.
262  *
263  * \note           If \p f_rng is not \c NULL, it is used to blind the input as
264  *                 a countermeasure against timing attacks. Blinding is used
265  *                 only if our private key \c X is re-used, and not used
266  *                 otherwise. We recommend always passing a non-NULL
267  *                 \p f_rng argument.
268  *
269  * \param ctx           The DHM context to use. This must be initialized
270  *                      and have its own private key generated and the peer's
271  *                      public key imported.
272  * \param output        The buffer to write the generated shared key to. This
273  *                      must be a writable buffer of size \p output_size Bytes.
274  * \param output_size   The size of the destination buffer. This must be at
275  *                      least the size of \c ctx->len (the size of \c P).
276  * \param olen          On exit, holds the actual number of Bytes written.
277  * \param f_rng         The RNG function, for blinding purposes. This may
278  *                      b \c NULL if blinding isn't needed.
279  * \param p_rng         The RNG context. This may be \c NULL if \p f_rng
280  *                      doesn't need a context argument.
281  *
282  * \return              \c 0 on success.
283  * \return              An \c MBEDTLS_ERR_DHM_XXX error code on failure.
284  */
285 int mbedtls_dhm_calc_secret( mbedtls_dhm_context *ctx,
286                      unsigned char *output, size_t output_size, size_t *olen,
287                      int (*f_rng)(void *, unsigned char *, size_t),
288                      void *p_rng );
289 
290 /**
291  * \brief          This function frees and clears the components
292  *                 of a DHM context.
293  *
294  * \param ctx      The DHM context to free and clear. This may be \c NULL,
295  *                 in which case this function is a no-op. If it is not \c NULL,
296  *                 it must point to an initialized DHM context.
297  */
298 void mbedtls_dhm_free( mbedtls_dhm_context *ctx );
299 
300 #if defined(MBEDTLS_ASN1_PARSE_C)
301 /** \ingroup x509_module */
302 /**
303  * \brief             This function parses DHM parameters in PEM or DER format.
304  *
305  * \param dhm         The DHM context to import the DHM parameters into.
306  *                    This must be initialized.
307  * \param dhmin       The input buffer. This must be a readable buffer of
308  *                    length \p dhminlen Bytes.
309  * \param dhminlen    The size of the input buffer \p dhmin, including the
310  *                    terminating \c NULL Byte for PEM data.
311  *
312  * \return            \c 0 on success.
313  * \return            An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX error
314  *                    code on failure.
315  */
316 int mbedtls_dhm_parse_dhm( mbedtls_dhm_context *dhm, const unsigned char *dhmin,
317                            size_t dhminlen );
318 
319 #if defined(MBEDTLS_FS_IO)
320 /** \ingroup x509_module */
321 /**
322  * \brief          This function loads and parses DHM parameters from a file.
323  *
324  * \param dhm      The DHM context to load the parameters to.
325  *                 This must be initialized.
326  * \param path     The filename to read the DHM parameters from.
327  *                 This must not be \c NULL.
328  *
329  * \return         \c 0 on success.
330  * \return         An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX
331  *                 error code on failure.
332  */
333 int mbedtls_dhm_parse_dhmfile( mbedtls_dhm_context *dhm, const char *path );
334 #endif /* MBEDTLS_FS_IO */
335 #endif /* MBEDTLS_ASN1_PARSE_C */
336 
337 #if defined(MBEDTLS_SELF_TEST)
338 
339 /**
340  * \brief          The DMH checkup routine.
341  *
342  * \return         \c 0 on success.
343  * \return         \c 1 on failure.
344  */
345 int mbedtls_dhm_self_test( int verbose );
346 
347 #endif /* MBEDTLS_SELF_TEST */
348 #ifdef __cplusplus
349 }
350 #endif
351 
352 /**
353  * RFC 3526, RFC 5114 and RFC 7919 standardize a number of
354  * Diffie-Hellman groups, some of which are included here
355  * for use within the SSL/TLS module and the user's convenience
356  * when configuring the Diffie-Hellman parameters by hand
357  * through \c mbedtls_ssl_conf_dh_param.
358  *
359  * The following lists the source of the above groups in the standards:
360  * - RFC 5114 section 2.2:  2048-bit MODP Group with 224-bit Prime Order Subgroup
361  * - RFC 3526 section 3:    2048-bit MODP Group
362  * - RFC 3526 section 4:    3072-bit MODP Group
363  * - RFC 3526 section 5:    4096-bit MODP Group
364  * - RFC 7919 section A.1:  ffdhe2048
365  * - RFC 7919 section A.2:  ffdhe3072
366  * - RFC 7919 section A.3:  ffdhe4096
367  * - RFC 7919 section A.4:  ffdhe6144
368  * - RFC 7919 section A.5:  ffdhe8192
369  *
370  * The constants with suffix "_p" denote the chosen prime moduli, while
371  * the constants with suffix "_g" denote the chosen generator
372  * of the associated prime field.
373  *
374  * The constants further suffixed with "_bin" are provided in binary format,
375  * while all other constants represent null-terminated strings holding the
376  * hexadecimal presentation of the respective numbers.
377  *
378  * The primes from RFC 3526 and RFC 7919 have been generating by the following
379  * trust-worthy procedure:
380  * - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
381  *   the first and last 64 bits are all 1, and the remaining N - 128 bits of
382  *   which are 0x7ff...ff.
383  * - Add the smallest multiple of the first N - 129 bits of the binary expansion
384  *   of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
385  *   such that the resulting integer is a safe-prime.
386  * - The result is the respective RFC 3526 / 7919 prime, and the corresponding
387  *   generator is always chosen to be 2 (which is a square for these prime,
388  *   hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
389  *   bit in the private exponent).
390  *
391  */
392 
393 #if !defined(MBEDTLS_DEPRECATED_REMOVED)
394 
395 /**
396  * \warning The origin of the primes in RFC 5114 is not documented and
397  *          their use therefore constitutes a security risk!
398  *
399  * \deprecated The hex-encoded primes from RFC 5114 are deprecated and are
400  *             likely to be removed in a future version of the library without
401  *             replacement.
402  */
403 
404 /**
405  * The hexadecimal presentation of the prime underlying the
406  * 2048-bit MODP Group with 224-bit Prime Order Subgroup, as defined
407  * in <em>RFC-5114: Additional Diffie-Hellman Groups for Use with
408  * IETF Standards</em>.
409  */
410 #define MBEDTLS_DHM_RFC5114_MODP_2048_P                         \
411     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
412         "AD107E1E9123A9D0D660FAA79559C51FA20D64E5683B9FD1"      \
413         "B54B1597B61D0A75E6FA141DF95A56DBAF9A3C407BA1DF15"      \
414         "EB3D688A309C180E1DE6B85A1274A0A66D3F8152AD6AC212"      \
415         "9037C9EDEFDA4DF8D91E8FEF55B7394B7AD5B7D0B6C12207"      \
416         "C9F98D11ED34DBF6C6BA0B2C8BBC27BE6A00E0A0B9C49708"      \
417         "B3BF8A317091883681286130BC8985DB1602E714415D9330"      \
418         "278273C7DE31EFDC7310F7121FD5A07415987D9ADC0A486D"      \
419         "CDF93ACC44328387315D75E198C641A480CD86A1B9E587E8"      \
420         "BE60E69CC928B2B9C52172E413042E9B23F10B0E16E79763"      \
421         "C9B53DCF4BA80A29E3FB73C16B8E75B97EF363E2FFA31F71"      \
422         "CF9DE5384E71B81C0AC4DFFE0C10E64F" )
423 
424 /**
425  * The hexadecimal presentation of the chosen generator of the 2048-bit MODP
426  * Group with 224-bit Prime Order Subgroup, as defined in <em>RFC-5114:
427  * Additional Diffie-Hellman Groups for Use with IETF Standards</em>.
428  */
429 #define MBEDTLS_DHM_RFC5114_MODP_2048_G                         \
430     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
431         "AC4032EF4F2D9AE39DF30B5C8FFDAC506CDEBE7B89998CAF"      \
432         "74866A08CFE4FFE3A6824A4E10B9A6F0DD921F01A70C4AFA"      \
433         "AB739D7700C29F52C57DB17C620A8652BE5E9001A8D66AD7"      \
434         "C17669101999024AF4D027275AC1348BB8A762D0521BC98A"      \
435         "E247150422EA1ED409939D54DA7460CDB5F6C6B250717CBE"      \
436         "F180EB34118E98D119529A45D6F834566E3025E316A330EF"      \
437         "BB77A86F0C1AB15B051AE3D428C8F8ACB70A8137150B8EEB"      \
438         "10E183EDD19963DDD9E263E4770589EF6AA21E7F5F2FF381"      \
439         "B539CCE3409D13CD566AFBB48D6C019181E1BCFE94B30269"      \
440         "EDFE72FE9B6AA4BD7B5A0F1C71CFFF4C19C418E1F6EC0179"      \
441         "81BC087F2A7065B384B890D3191F2BFA" )
442 
443 /**
444  * The hexadecimal presentation of the prime underlying the 2048-bit MODP
445  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
446  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
447  *
448  * \deprecated The hex-encoded primes from RFC 3625 are deprecated and
449  *             superseded by the corresponding macros providing them as
450  *             binary constants. Their hex-encoded constants are likely
451  *             to be removed in a future version of the library.
452  *
453  */
454 #define MBEDTLS_DHM_RFC3526_MODP_2048_P                         \
455     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
456         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"      \
457         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"      \
458         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"      \
459         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"      \
460         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"      \
461         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"      \
462         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"      \
463         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"      \
464         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"      \
465         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"      \
466         "15728E5A8AACAA68FFFFFFFFFFFFFFFF" )
467 
468 /**
469  * The hexadecimal presentation of the chosen generator of the 2048-bit MODP
470  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
471  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
472  */
473 #define MBEDTLS_DHM_RFC3526_MODP_2048_G                         \
474     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
475 
476 /**
477  * The hexadecimal presentation of the prime underlying the 3072-bit MODP
478  * Group, as defined in <em>RFC-3072: More Modular Exponential (MODP)
479  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
480  */
481 #define MBEDTLS_DHM_RFC3526_MODP_3072_P                         \
482     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
483         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"      \
484         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"      \
485         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"      \
486         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"      \
487         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"      \
488         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"      \
489         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"      \
490         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"      \
491         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"      \
492         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"      \
493         "15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64"      \
494         "ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7"      \
495         "ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B"      \
496         "F12FFA06D98A0864D87602733EC86A64521F2B18177B200C"      \
497         "BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31"      \
498         "43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF" )
499 
500 /**
501  * The hexadecimal presentation of the chosen generator of the 3072-bit MODP
502  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
503  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
504  */
505 #define MBEDTLS_DHM_RFC3526_MODP_3072_G                      \
506     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
507 
508 /**
509  * The hexadecimal presentation of the prime underlying the 4096-bit MODP
510  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
511  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
512  */
513 #define MBEDTLS_DHM_RFC3526_MODP_4096_P                      \
514     MBEDTLS_DEPRECATED_STRING_CONSTANT(                      \
515         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"   \
516         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"   \
517         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"   \
518         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"   \
519         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"   \
520         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"   \
521         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"   \
522         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"   \
523         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"   \
524         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"   \
525         "15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64"   \
526         "ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7"   \
527         "ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B"   \
528         "F12FFA06D98A0864D87602733EC86A64521F2B18177B200C"   \
529         "BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31"   \
530         "43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7"   \
531         "88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA"   \
532         "2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6"   \
533         "287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED"   \
534         "1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9"   \
535         "93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199"   \
536         "FFFFFFFFFFFFFFFF" )
537 
538 /**
539  * The hexadecimal presentation of the chosen generator of the 4096-bit MODP
540  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
541  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
542  */
543 #define MBEDTLS_DHM_RFC3526_MODP_4096_G                      \
544     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
545 
546 #endif /* MBEDTLS_DEPRECATED_REMOVED */
547 
548 /*
549  * Trustworthy DHM parameters in binary form
550  */
551 
552 #define MBEDTLS_DHM_RFC3526_MODP_2048_P_BIN {        \
553      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
554      0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
555      0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
556      0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
557      0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
558      0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
559      0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
560      0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
561      0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
562      0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
563      0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
564      0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
565      0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
566      0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
567      0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
568      0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
569      0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
570      0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
571      0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
572      0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
573      0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
574      0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
575      0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
576      0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
577      0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
578      0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
579      0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
580      0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
581      0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
582      0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
583      0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, \
584      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
585 
586 #define MBEDTLS_DHM_RFC3526_MODP_2048_G_BIN { 0x02 }
587 
588 #define MBEDTLS_DHM_RFC3526_MODP_3072_P_BIN {       \
589     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
590     0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
591     0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
592     0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
593     0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
594     0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
595     0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
596     0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
597     0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
598     0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
599     0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
600     0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
601     0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
602     0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
603     0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
604     0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
605     0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
606     0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
607     0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
608     0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
609     0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
610     0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
611     0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
612     0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
613     0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
614     0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
615     0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
616     0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
617     0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
618     0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
619     0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
620     0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
621     0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
622     0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
623     0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
624     0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
625     0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
626     0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
627     0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
628     0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
629     0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
630     0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
631     0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
632     0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
633     0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
634     0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
635     0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA, \
636     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
637 
638 #define MBEDTLS_DHM_RFC3526_MODP_3072_G_BIN { 0x02 }
639 
640 #define MBEDTLS_DHM_RFC3526_MODP_4096_P_BIN  {       \
641     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,  \
642     0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,  \
643     0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,  \
644     0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,  \
645     0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,  \
646     0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,  \
647     0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,  \
648     0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,  \
649     0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,  \
650     0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,  \
651     0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,  \
652     0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,  \
653     0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,  \
654     0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,  \
655     0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,  \
656     0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,  \
657     0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,  \
658     0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,  \
659     0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,  \
660     0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,  \
661     0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,  \
662     0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,  \
663     0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,  \
664     0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,  \
665     0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,  \
666     0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,  \
667     0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,  \
668     0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,  \
669     0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,  \
670     0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,  \
671     0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,  \
672     0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,  \
673     0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,  \
674     0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,  \
675     0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,  \
676     0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,  \
677     0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,  \
678     0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,  \
679     0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,  \
680     0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,  \
681     0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,  \
682     0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,  \
683     0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,  \
684     0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,  \
685     0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,  \
686     0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,  \
687     0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,  \
688     0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,  \
689     0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,  \
690     0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,  \
691     0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,  \
692     0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,  \
693     0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,  \
694     0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,  \
695     0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,  \
696     0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,  \
697     0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,  \
698     0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,  \
699     0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,  \
700     0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,  \
701     0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,  \
702     0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,  \
703     0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,  \
704     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
705 
706 #define MBEDTLS_DHM_RFC3526_MODP_4096_G_BIN { 0x02 }
707 
708 #define MBEDTLS_DHM_RFC7919_FFDHE2048_P_BIN {        \
709      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
710      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
711      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
712      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
713      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
714      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
715      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
716      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
717      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
718      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
719      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
720      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
721      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
722      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
723      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
724      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
725      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
726      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
727      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
728      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
729      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
730      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
731      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
732      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
733      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
734      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
735      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
736      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
737      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
738      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
739      0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, \
740      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }
741 
742 #define MBEDTLS_DHM_RFC7919_FFDHE2048_G_BIN { 0x02 }
743 
744 #define MBEDTLS_DHM_RFC7919_FFDHE3072_P_BIN { \
745      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
746      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
747      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
748      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
749      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
750      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
751      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
752      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
753      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
754      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
755      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
756      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
757      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
758      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
759      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
760      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
761      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
762      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
763      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
764      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
765      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
766      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
767      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
768      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
769      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
770      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
771      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
772      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
773      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
774      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
775      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
776      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
777      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
778      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
779      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
780      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
781      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
782      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
783      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
784      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
785      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
786      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
787      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
788      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
789      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
790      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
791      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0xC6, 0x2E, 0x37, \
792      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
793 
794 #define MBEDTLS_DHM_RFC7919_FFDHE3072_G_BIN { 0x02 }
795 
796 #define MBEDTLS_DHM_RFC7919_FFDHE4096_P_BIN {        \
797      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
798      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
799      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
800      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
801      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
802      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
803      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
804      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
805      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
806      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
807      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
808      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
809      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
810      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
811      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
812      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
813      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
814      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
815      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
816      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
817      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
818      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
819      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
820      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
821      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
822      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
823      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
824      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
825      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
826      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
827      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
828      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
829      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
830      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
831      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
832      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
833      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
834      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
835      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
836      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
837      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
838      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
839      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
840      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
841      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
842      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
843      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
844      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
845      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
846      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
847      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
848      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
849      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
850      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
851      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
852      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
853      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
854      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
855      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
856      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
857      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
858      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
859      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, \
860      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
861 
862 #define MBEDTLS_DHM_RFC7919_FFDHE4096_G_BIN { 0x02 }
863 
864 #define MBEDTLS_DHM_RFC7919_FFDHE6144_P_BIN {        \
865      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
866      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
867      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
868      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
869      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
870      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
871      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
872      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
873      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
874      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
875      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
876      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
877      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
878      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
879      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
880      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
881      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
882      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
883      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
884      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
885      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
886      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
887      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
888      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
889      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
890      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
891      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
892      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
893      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
894      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
895      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
896      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
897      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
898      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
899      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
900      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
901      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
902      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
903      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
904      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
905      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
906      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
907      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
908      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
909      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
910      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
911      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
912      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
913      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
914      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
915      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
916      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
917      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
918      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
919      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
920      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
921      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
922      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
923      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
924      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
925      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
926      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
927      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
928      0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
929      0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
930      0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
931      0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
932      0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
933      0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
934      0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
935      0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
936      0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
937      0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
938      0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
939      0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
940      0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
941      0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
942      0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
943      0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
944      0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
945      0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
946      0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
947      0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
948      0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
949      0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
950      0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
951      0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
952      0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
953      0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
954      0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
955      0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
956      0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
957      0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
958      0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
959      0xA4, 0x0E, 0x32, 0x9C, 0xD0, 0xE4, 0x0E, 0x65, \
960      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
961 
962 #define MBEDTLS_DHM_RFC7919_FFDHE6144_G_BIN { 0x02 }
963 
964 #define MBEDTLS_DHM_RFC7919_FFDHE8192_P_BIN {        \
965      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
966      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
967      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
968      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
969      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
970      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
971      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
972      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
973      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
974      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
975      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
976      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
977      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
978      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
979      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
980      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
981      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
982      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
983      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
984      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
985      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
986      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
987      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
988      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
989      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
990      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
991      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
992      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
993      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
994      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
995      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
996      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
997      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
998      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
999      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
1000      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
1001      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
1002      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
1003      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
1004      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
1005      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
1006      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
1007      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
1008      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
1009      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
1010      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
1011      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
1012      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
1013      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
1014      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
1015      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
1016      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
1017      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
1018      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
1019      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
1020      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
1021      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
1022      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
1023      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
1024      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
1025      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
1026      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
1027      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
1028      0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
1029      0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
1030      0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
1031      0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
1032      0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
1033      0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
1034      0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
1035      0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
1036      0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
1037      0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
1038      0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
1039      0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
1040      0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
1041      0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
1042      0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
1043      0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
1044      0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
1045      0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
1046      0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
1047      0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
1048      0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
1049      0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
1050      0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
1051      0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
1052      0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
1053      0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
1054      0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
1055      0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
1056      0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
1057      0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
1058      0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
1059      0xA4, 0x0E, 0x32, 0x9C, 0xCF, 0xF4, 0x6A, 0xAA, \
1060      0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, \
1061      0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, \
1062      0xFD, 0xB2, 0x3F, 0xCE, 0xC9, 0x50, 0x9D, 0x43, \
1063      0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, \
1064      0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, \
1065      0x86, 0xB6, 0x31, 0x42, 0xA3, 0xAB, 0x88, 0x29, \
1066      0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, \
1067      0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, \
1068      0x29, 0x38, 0x88, 0x39, 0xD2, 0xAF, 0x05, 0xE4, \
1069      0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, \
1070      0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, \
1071      0x59, 0x16, 0x0C, 0xC0, 0x46, 0xFD, 0x82, 0x51, \
1072      0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, \
1073      0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, \
1074      0x51, 0xA8, 0xA9, 0x31, 0x09, 0x70, 0x3F, 0xEE, \
1075      0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, \
1076      0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, \
1077      0x99, 0xE9, 0xE3, 0x16, 0x50, 0xC1, 0x21, 0x7B, \
1078      0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, \
1079      0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, \
1080      0xA1, 0xFE, 0x30, 0x75, 0xA5, 0x77, 0xE2, 0x31, \
1081      0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, \
1082      0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, \
1083      0xB6, 0x85, 0x5D, 0xFE, 0x72, 0xB0, 0xA6, 0x6E, \
1084      0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, \
1085      0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, \
1086      0x2F, 0x74, 0x1E, 0xF8, 0xC1, 0xFE, 0x86, 0xFE, \
1087      0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, \
1088      0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, \
1089      0x08, 0x22, 0xE5, 0x06, 0xA9, 0xF4, 0x61, 0x4E, \
1090      0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, \
1091      0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, \
1092      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
1093 
1094 #define MBEDTLS_DHM_RFC7919_FFDHE8192_G_BIN { 0x02 }
1095 
1096 #endif /* dhm.h */
1097