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 The Mbed TLS Contributors
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 
63 #ifndef MBEDTLS_DHM_H
64 #define MBEDTLS_DHM_H
65 
66 #if !defined(MBEDTLS_CONFIG_FILE)
67 #include "mbedtls/config.h"
68 #else
69 #include MBEDTLS_CONFIG_FILE
70 #endif
71 #include "mbedtls/bignum.h"
72 
73 /*
74  * DHM Error codes
75  */
76 /** Bad input parameters. */
77 #define MBEDTLS_ERR_DHM_BAD_INPUT_DATA                    -0x3080
78 /** Reading of the DHM parameters failed. */
79 #define MBEDTLS_ERR_DHM_READ_PARAMS_FAILED                -0x3100
80 /** Making of the DHM parameters failed. */
81 #define MBEDTLS_ERR_DHM_MAKE_PARAMS_FAILED                -0x3180
82 /** Reading of the public values failed. */
83 #define MBEDTLS_ERR_DHM_READ_PUBLIC_FAILED                -0x3200
84 /** Making of the public value failed. */
85 #define MBEDTLS_ERR_DHM_MAKE_PUBLIC_FAILED                -0x3280
86 /** Calculation of the DHM secret failed. */
87 #define MBEDTLS_ERR_DHM_CALC_SECRET_FAILED                -0x3300
88 /** The ASN.1 data is not formatted correctly. */
89 #define MBEDTLS_ERR_DHM_INVALID_FORMAT                    -0x3380
90 /** Allocation of memory failed. */
91 #define MBEDTLS_ERR_DHM_ALLOC_FAILED                      -0x3400
92 /** Read or write of file failed. */
93 #define MBEDTLS_ERR_DHM_FILE_IO_ERROR                     -0x3480
94 
95 /* MBEDTLS_ERR_DHM_HW_ACCEL_FAILED is deprecated and should not be used. */
96 /** DHM hardware accelerator failed. */
97 #define MBEDTLS_ERR_DHM_HW_ACCEL_FAILED                   -0x3500
98 
99 /** Setting the modulus and generator failed. */
100 #define MBEDTLS_ERR_DHM_SET_GROUP_FAILED                  -0x3580
101 
102 #ifdef __cplusplus
103 extern "C" {
104 #endif
105 
106 #if !defined(MBEDTLS_DHM_ALT)
107 
108 /**
109  * \brief          The DHM context structure.
110  */
111 typedef struct mbedtls_dhm_context
112 {
113     size_t len;         /*!<  The size of \p P in Bytes. */
114     mbedtls_mpi P;      /*!<  The prime modulus. */
115     mbedtls_mpi G;      /*!<  The generator. */
116     mbedtls_mpi X;      /*!<  Our secret value. */
117     mbedtls_mpi GX;     /*!<  Our public key = \c G^X mod \c P. */
118     mbedtls_mpi GY;     /*!<  The public key of the peer = \c G^Y mod \c P. */
119     mbedtls_mpi K;      /*!<  The shared secret = \c G^(XY) mod \c P. */
120     mbedtls_mpi RP;     /*!<  The cached value = \c R^2 mod \c P. */
121     mbedtls_mpi Vi;     /*!<  The blinding value. */
122     mbedtls_mpi Vf;     /*!<  The unblinding value. */
123     mbedtls_mpi pX;     /*!<  The previous \c X. */
124 }
125 mbedtls_dhm_context;
126 
127 #else /* MBEDTLS_DHM_ALT */
128 #include "dhm_alt.h"
129 #endif /* MBEDTLS_DHM_ALT */
130 
131 /**
132  * \brief          This function initializes the DHM context.
133  *
134  * \param ctx      The DHM context to initialize.
135  */
136 void mbedtls_dhm_init( mbedtls_dhm_context *ctx );
137 
138 /**
139  * \brief          This function parses the DHM parameters in a
140  *                 TLS ServerKeyExchange handshake message
141  *                 (DHM modulus, generator, and public key).
142  *
143  * \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.
148  * \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.
155  * \param end      The end of the input buffer.
156  *
157  * \return         \c 0 on success.
158  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
159  */
160 int mbedtls_dhm_read_params( mbedtls_dhm_context *ctx,
161                              unsigned char **p,
162                              const unsigned char *end );
163 
164 /**
165  * \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.
168  *
169  * \note           This function assumes that the DHM parameters \c ctx->P
170  *                 and \c ctx->G have already been properly set. For that, use
171  *                 mbedtls_dhm_set_group() below in conjunction with
172  *                 mbedtls_mpi_read_binary() and mbedtls_mpi_read_string().
173  *
174  * \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.
180  * \param x_size   The private key size in Bytes.
181  * \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.
192  *
193  * \return         \c 0 on success.
194  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
195  */
196 int 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 );
200 
201 /**
202  * \brief          This function sets the prime modulus and generator.
203  *
204  * \note           This function can be used to set \c ctx->P, \c ctx->G
205  *                 in preparation for mbedtls_dhm_make_params().
206  *
207  * \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.
212  *
213  * \return         \c 0 if successful.
214  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
215  */
216 int mbedtls_dhm_set_group( mbedtls_dhm_context *ctx,
217                            const mbedtls_mpi *P,
218                            const mbedtls_mpi *G );
219 
220 /**
221  * \brief          This function imports the raw public value of the peer.
222  *
223  * \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.
232  *
233  * \return         \c 0 on success.
234  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
235  */
236 int mbedtls_dhm_read_public( mbedtls_dhm_context *ctx,
237                      const unsigned char *input, size_t ilen );
238 
239 /**
240  * \brief          This function creates a DHM key pair and exports
241  *                 the raw public key in big-endian format.
242  *
243  * \note           The destination buffer is always fully written
244  *                 so as to contain a big-endian representation of G^X mod P.
245  *                 If it is larger than \c ctx->len, it is padded accordingly
246  *                 with zero-bytes at the beginning.
247  *
248  * \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.
251  * \param x_size   The private key size in Bytes.
252  * \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.
259  *
260  * \return         \c 0 on success.
261  * \return         An \c MBEDTLS_ERR_DHM_XXX error code on failure.
262  */
263 int 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 );
267 
268 /**
269  * \brief          This function derives and exports the shared secret
270  *                 \c (G^Y)^X mod \c P.
271  *
272  * \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.
277  *
278  * \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).
285  * \param olen          On exit, holds the actual number of Bytes written.
286  * \param f_rng         The RNG function, for blinding purposes. This may
287  *                      b \c NULL if blinding isn't needed.
288  * \param p_rng         The RNG context. This may be \c NULL if \p f_rng
289  *                      doesn't need a context argument.
290  *
291  * \return              \c 0 on success.
292  * \return              An \c MBEDTLS_ERR_DHM_XXX error code on failure.
293  */
294 int 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 );
298 
299 /**
300  * \brief          This function frees and clears the components
301  *                 of a DHM context.
302  *
303  * \param ctx      The DHM context to free and clear. This may be \c NULL,
304  *                 in which case this function is a no-op. If it is not \c NULL,
305  *                 it must point to an initialized DHM context.
306  */
307 void mbedtls_dhm_free( mbedtls_dhm_context *ctx );
308 
309 #if defined(MBEDTLS_ASN1_PARSE_C)
310 /**
311  * \brief             This function parses DHM parameters in PEM or DER format.
312  *
313  * \param dhm         The DHM context to import the DHM parameters into.
314  *                    This must be initialized.
315  * \param dhmin       The input buffer. This must be a readable buffer of
316  *                    length \p dhminlen Bytes.
317  * \param dhminlen    The size of the input buffer \p dhmin, including the
318  *                    terminating \c NULL Byte for PEM data.
319  *
320  * \return            \c 0 on success.
321  * \return            An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX error
322  *                    code on failure.
323  */
324 int mbedtls_dhm_parse_dhm( mbedtls_dhm_context *dhm, const unsigned char *dhmin,
325                            size_t dhminlen );
326 
327 #if defined(MBEDTLS_FS_IO)
328 /**
329  * \brief          This function loads and parses DHM parameters from a file.
330  *
331  * \param dhm      The DHM context to load the parameters to.
332  *                 This must be initialized.
333  * \param path     The filename to read the DHM parameters from.
334  *                 This must not be \c NULL.
335  *
336  * \return         \c 0 on success.
337  * \return         An \c MBEDTLS_ERR_DHM_XXX or \c MBEDTLS_ERR_PEM_XXX
338  *                 error code on failure.
339  */
340 int mbedtls_dhm_parse_dhmfile( mbedtls_dhm_context *dhm, const char *path );
341 #endif /* MBEDTLS_FS_IO */
342 #endif /* MBEDTLS_ASN1_PARSE_C */
343 
344 #if defined(MBEDTLS_SELF_TEST)
345 
346 /**
347  * \brief          The DMH checkup routine.
348  *
349  * \return         \c 0 on success.
350  * \return         \c 1 on failure.
351  */
352 int mbedtls_dhm_self_test( int verbose );
353 
354 #endif /* MBEDTLS_SELF_TEST */
355 #ifdef __cplusplus
356 }
357 #endif
358 
359 /**
360  * RFC 3526, RFC 5114 and RFC 7919 standardize a number of
361  * Diffie-Hellman groups, some of which are included here
362  * for use within the SSL/TLS module and the user's convenience
363  * when configuring the Diffie-Hellman parameters by hand
364  * through \c mbedtls_ssl_conf_dh_param.
365  *
366  * The following lists the source of the above groups in the standards:
367  * - RFC 5114 section 2.2:  2048-bit MODP Group with 224-bit Prime Order Subgroup
368  * - RFC 3526 section 3:    2048-bit MODP Group
369  * - RFC 3526 section 4:    3072-bit MODP Group
370  * - RFC 3526 section 5:    4096-bit MODP Group
371  * - RFC 7919 section A.1:  ffdhe2048
372  * - RFC 7919 section A.2:  ffdhe3072
373  * - RFC 7919 section A.3:  ffdhe4096
374  * - RFC 7919 section A.4:  ffdhe6144
375  * - RFC 7919 section A.5:  ffdhe8192
376  *
377  * The constants with suffix "_p" denote the chosen prime moduli, while
378  * the constants with suffix "_g" denote the chosen generator
379  * of the associated prime field.
380  *
381  * The constants further suffixed with "_bin" are provided in binary format,
382  * while all other constants represent null-terminated strings holding the
383  * hexadecimal presentation of the respective numbers.
384  *
385  * The primes from RFC 3526 and RFC 7919 have been generating by the following
386  * trust-worthy procedure:
387  * - Fix N in { 2048, 3072, 4096, 6144, 8192 } and consider the N-bit number
388  *   the first and last 64 bits are all 1, and the remaining N - 128 bits of
389  *   which are 0x7ff...ff.
390  * - Add the smallest multiple of the first N - 129 bits of the binary expansion
391  *   of pi (for RFC 5236) or e (for RFC 7919) to this intermediate bit-string
392  *   such that the resulting integer is a safe-prime.
393  * - The result is the respective RFC 3526 / 7919 prime, and the corresponding
394  *   generator is always chosen to be 2 (which is a square for these prime,
395  *   hence the corresponding subgroup has order (p-1)/2 and avoids leaking a
396  *   bit in the private exponent).
397  *
398  */
399 
400 #if !defined(MBEDTLS_DEPRECATED_REMOVED)
401 
402 /**
403  * \warning The origin of the primes in RFC 5114 is not documented and
404  *          their use therefore constitutes a security risk!
405  *
406  * \deprecated The hex-encoded primes from RFC 5114 are deprecated and are
407  *             likely to be removed in a future version of the library without
408  *             replacement.
409  */
410 
411 /**
412  * The hexadecimal presentation of the prime underlying the
413  * 2048-bit MODP Group with 224-bit Prime Order Subgroup, as defined
414  * in <em>RFC-5114: Additional Diffie-Hellman Groups for Use with
415  * IETF Standards</em>.
416  */
417 #define MBEDTLS_DHM_RFC5114_MODP_2048_P                         \
418     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
419         "AD107E1E9123A9D0D660FAA79559C51FA20D64E5683B9FD1"      \
420         "B54B1597B61D0A75E6FA141DF95A56DBAF9A3C407BA1DF15"      \
421         "EB3D688A309C180E1DE6B85A1274A0A66D3F8152AD6AC212"      \
422         "9037C9EDEFDA4DF8D91E8FEF55B7394B7AD5B7D0B6C12207"      \
423         "C9F98D11ED34DBF6C6BA0B2C8BBC27BE6A00E0A0B9C49708"      \
424         "B3BF8A317091883681286130BC8985DB1602E714415D9330"      \
425         "278273C7DE31EFDC7310F7121FD5A07415987D9ADC0A486D"      \
426         "CDF93ACC44328387315D75E198C641A480CD86A1B9E587E8"      \
427         "BE60E69CC928B2B9C52172E413042E9B23F10B0E16E79763"      \
428         "C9B53DCF4BA80A29E3FB73C16B8E75B97EF363E2FFA31F71"      \
429         "CF9DE5384E71B81C0AC4DFFE0C10E64F" )
430 
431 /**
432  * The hexadecimal presentation of the chosen generator of the 2048-bit MODP
433  * Group with 224-bit Prime Order Subgroup, as defined in <em>RFC-5114:
434  * Additional Diffie-Hellman Groups for Use with IETF Standards</em>.
435  */
436 #define MBEDTLS_DHM_RFC5114_MODP_2048_G                         \
437     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
438         "AC4032EF4F2D9AE39DF30B5C8FFDAC506CDEBE7B89998CAF"      \
439         "74866A08CFE4FFE3A6824A4E10B9A6F0DD921F01A70C4AFA"      \
440         "AB739D7700C29F52C57DB17C620A8652BE5E9001A8D66AD7"      \
441         "C17669101999024AF4D027275AC1348BB8A762D0521BC98A"      \
442         "E247150422EA1ED409939D54DA7460CDB5F6C6B250717CBE"      \
443         "F180EB34118E98D119529A45D6F834566E3025E316A330EF"      \
444         "BB77A86F0C1AB15B051AE3D428C8F8ACB70A8137150B8EEB"      \
445         "10E183EDD19963DDD9E263E4770589EF6AA21E7F5F2FF381"      \
446         "B539CCE3409D13CD566AFBB48D6C019181E1BCFE94B30269"      \
447         "EDFE72FE9B6AA4BD7B5A0F1C71CFFF4C19C418E1F6EC0179"      \
448         "81BC087F2A7065B384B890D3191F2BFA" )
449 
450 /**
451  * The hexadecimal presentation of the prime underlying the 2048-bit MODP
452  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
453  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
454  *
455  * \deprecated The hex-encoded primes from RFC 3625 are deprecated and
456  *             superseded by the corresponding macros providing them as
457  *             binary constants. Their hex-encoded constants are likely
458  *             to be removed in a future version of the library.
459  *
460  */
461 #define MBEDTLS_DHM_RFC3526_MODP_2048_P                         \
462     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
463         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"      \
464         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"      \
465         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"      \
466         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"      \
467         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"      \
468         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"      \
469         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"      \
470         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"      \
471         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"      \
472         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"      \
473         "15728E5A8AACAA68FFFFFFFFFFFFFFFF" )
474 
475 /**
476  * The hexadecimal presentation of the chosen generator of the 2048-bit MODP
477  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
478  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
479  */
480 #define MBEDTLS_DHM_RFC3526_MODP_2048_G                         \
481     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
482 
483 /**
484  * The hexadecimal presentation of the prime underlying the 3072-bit MODP
485  * Group, as defined in <em>RFC-3072: More Modular Exponential (MODP)
486  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
487  */
488 #define MBEDTLS_DHM_RFC3526_MODP_3072_P                         \
489     MBEDTLS_DEPRECATED_STRING_CONSTANT(                         \
490         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"      \
491         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"      \
492         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"      \
493         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"      \
494         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"      \
495         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"      \
496         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"      \
497         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"      \
498         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"      \
499         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"      \
500         "15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64"      \
501         "ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7"      \
502         "ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B"      \
503         "F12FFA06D98A0864D87602733EC86A64521F2B18177B200C"      \
504         "BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31"      \
505         "43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF" )
506 
507 /**
508  * The hexadecimal presentation of the chosen generator of the 3072-bit MODP
509  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
510  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
511  */
512 #define MBEDTLS_DHM_RFC3526_MODP_3072_G                      \
513     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
514 
515 /**
516  * The hexadecimal presentation of the prime underlying the 4096-bit MODP
517  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
518  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
519  */
520 #define MBEDTLS_DHM_RFC3526_MODP_4096_P                      \
521     MBEDTLS_DEPRECATED_STRING_CONSTANT(                      \
522         "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1"   \
523         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD"   \
524         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245"   \
525         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED"   \
526         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D"   \
527         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F"   \
528         "83655D23DCA3AD961C62F356208552BB9ED529077096966D"   \
529         "670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B"   \
530         "E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9"   \
531         "DE2BCBF6955817183995497CEA956AE515D2261898FA0510"   \
532         "15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64"   \
533         "ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7"   \
534         "ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B"   \
535         "F12FFA06D98A0864D87602733EC86A64521F2B18177B200C"   \
536         "BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31"   \
537         "43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7"   \
538         "88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA"   \
539         "2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6"   \
540         "287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED"   \
541         "1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9"   \
542         "93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199"   \
543         "FFFFFFFFFFFFFFFF" )
544 
545 /**
546  * The hexadecimal presentation of the chosen generator of the 4096-bit MODP
547  * Group, as defined in <em>RFC-3526: More Modular Exponential (MODP)
548  * Diffie-Hellman groups for Internet Key Exchange (IKE)</em>.
549  */
550 #define MBEDTLS_DHM_RFC3526_MODP_4096_G                      \
551     MBEDTLS_DEPRECATED_STRING_CONSTANT( "02" )
552 
553 #endif /* MBEDTLS_DEPRECATED_REMOVED */
554 
555 /*
556  * Trustworthy DHM parameters in binary form
557  */
558 
559 #define MBEDTLS_DHM_RFC3526_MODP_2048_P_BIN {        \
560      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
561      0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
562      0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
563      0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
564      0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
565      0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
566      0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
567      0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
568      0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
569      0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
570      0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
571      0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
572      0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
573      0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
574      0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
575      0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
576      0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
577      0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
578      0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
579      0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
580      0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
581      0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
582      0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
583      0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
584      0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
585      0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
586      0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
587      0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
588      0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
589      0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
590      0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68, \
591      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
592 
593 #define MBEDTLS_DHM_RFC3526_MODP_2048_G_BIN { 0x02 }
594 
595 #define MBEDTLS_DHM_RFC3526_MODP_3072_P_BIN {       \
596     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
597     0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34, \
598     0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, \
599     0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74, \
600     0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, \
601     0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, \
602     0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B, \
603     0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, \
604     0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45, \
605     0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, \
606     0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B, \
607     0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, \
608     0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, \
609     0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6, \
610     0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, \
611     0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05, \
612     0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, \
613     0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F, \
614     0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, \
615     0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, \
616     0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D, \
617     0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, \
618     0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C, \
619     0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B, \
620     0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03, \
621     0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F, \
622     0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9, \
623     0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18, \
624     0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5, \
625     0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10, \
626     0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D, \
627     0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33, \
628     0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64, \
629     0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A, \
630     0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D, \
631     0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7, \
632     0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7, \
633     0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D, \
634     0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B, \
635     0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64, \
636     0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64, \
637     0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C, \
638     0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C, \
639     0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2, \
640     0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31, \
641     0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E, \
642     0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA, \
643     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
644 
645 #define MBEDTLS_DHM_RFC3526_MODP_3072_G_BIN { 0x02 }
646 
647 #define MBEDTLS_DHM_RFC3526_MODP_4096_P_BIN  {       \
648     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,  \
649     0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,  \
650     0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,  \
651     0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,  \
652     0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,  \
653     0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,  \
654     0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,  \
655     0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,  \
656     0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,  \
657     0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,  \
658     0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,  \
659     0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,  \
660     0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,  \
661     0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,  \
662     0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,  \
663     0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,  \
664     0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,  \
665     0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,  \
666     0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,  \
667     0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,  \
668     0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,  \
669     0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,  \
670     0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,  \
671     0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,  \
672     0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,  \
673     0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,  \
674     0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,  \
675     0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,  \
676     0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,  \
677     0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,  \
678     0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,  \
679     0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,  \
680     0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,  \
681     0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,  \
682     0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,  \
683     0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,  \
684     0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,  \
685     0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,  \
686     0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,  \
687     0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,  \
688     0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,  \
689     0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,  \
690     0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,  \
691     0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,  \
692     0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,  \
693     0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,  \
694     0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,  \
695     0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,  \
696     0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,  \
697     0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,  \
698     0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,  \
699     0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,  \
700     0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,  \
701     0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,  \
702     0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,  \
703     0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,  \
704     0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,  \
705     0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,  \
706     0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,  \
707     0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,  \
708     0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,  \
709     0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,  \
710     0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,  \
711     0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
712 
713 #define MBEDTLS_DHM_RFC3526_MODP_4096_G_BIN { 0x02 }
714 
715 #define MBEDTLS_DHM_RFC7919_FFDHE2048_P_BIN {        \
716      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
717      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
718      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
719      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
720      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
721      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
722      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
723      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
724      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
725      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
726      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
727      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
728      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
729      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
730      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
731      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
732      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
733      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
734      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
735      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
736      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
737      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
738      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
739      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
740      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
741      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
742      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
743      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
744      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
745      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
746      0x88, 0x6B, 0x42, 0x38, 0x61, 0x28, 0x5C, 0x97, \
747      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, }
748 
749 #define MBEDTLS_DHM_RFC7919_FFDHE2048_G_BIN { 0x02 }
750 
751 #define MBEDTLS_DHM_RFC7919_FFDHE3072_P_BIN { \
752      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
753      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
754      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
755      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
756      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
757      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
758      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
759      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
760      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
761      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
762      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
763      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
764      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
765      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
766      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
767      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
768      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
769      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
770      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
771      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
772      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
773      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
774      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
775      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
776      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
777      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
778      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
779      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
780      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
781      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
782      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
783      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
784      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
785      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
786      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
787      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
788      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
789      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
790      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
791      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
792      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
793      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
794      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
795      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
796      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
797      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
798      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0xC6, 0x2E, 0x37, \
799      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
800 
801 #define MBEDTLS_DHM_RFC7919_FFDHE3072_G_BIN { 0x02 }
802 
803 #define MBEDTLS_DHM_RFC7919_FFDHE4096_P_BIN {        \
804      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
805      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
806      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
807      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
808      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
809      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
810      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
811      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
812      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
813      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
814      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
815      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
816      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
817      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
818      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
819      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
820      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
821      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
822      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
823      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
824      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
825      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
826      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
827      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
828      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
829      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
830      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
831      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
832      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
833      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
834      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
835      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
836      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
837      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
838      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
839      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
840      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
841      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
842      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
843      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
844      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
845      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
846      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
847      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
848      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
849      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
850      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
851      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
852      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
853      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
854      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
855      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
856      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
857      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
858      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
859      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
860      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
861      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
862      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
863      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
864      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
865      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
866      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x65, 0x5F, 0x6A, \
867      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
868 
869 #define MBEDTLS_DHM_RFC7919_FFDHE4096_G_BIN { 0x02 }
870 
871 #define MBEDTLS_DHM_RFC7919_FFDHE6144_P_BIN {        \
872      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
873      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
874      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
875      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
876      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
877      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
878      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
879      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
880      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
881      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
882      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
883      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
884      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
885      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
886      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
887      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
888      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
889      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
890      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
891      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
892      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
893      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
894      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
895      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
896      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
897      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
898      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
899      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
900      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
901      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
902      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
903      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
904      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
905      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
906      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
907      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
908      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
909      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
910      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
911      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
912      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
913      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
914      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
915      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
916      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
917      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
918      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
919      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
920      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
921      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
922      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
923      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
924      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
925      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
926      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
927      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
928      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
929      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
930      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
931      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
932      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
933      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
934      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
935      0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
936      0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
937      0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
938      0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
939      0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
940      0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
941      0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
942      0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
943      0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
944      0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
945      0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
946      0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
947      0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
948      0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
949      0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
950      0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
951      0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
952      0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
953      0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
954      0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
955      0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
956      0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
957      0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
958      0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
959      0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
960      0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
961      0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
962      0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
963      0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
964      0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
965      0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
966      0xA4, 0x0E, 0x32, 0x9C, 0xD0, 0xE4, 0x0E, 0x65, \
967      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
968 
969 #define MBEDTLS_DHM_RFC7919_FFDHE6144_G_BIN { 0x02 }
970 
971 #define MBEDTLS_DHM_RFC7919_FFDHE8192_P_BIN {        \
972      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, \
973      0xAD, 0xF8, 0x54, 0x58, 0xA2, 0xBB, 0x4A, 0x9A, \
974      0xAF, 0xDC, 0x56, 0x20, 0x27, 0x3D, 0x3C, 0xF1, \
975      0xD8, 0xB9, 0xC5, 0x83, 0xCE, 0x2D, 0x36, 0x95, \
976      0xA9, 0xE1, 0x36, 0x41, 0x14, 0x64, 0x33, 0xFB, \
977      0xCC, 0x93, 0x9D, 0xCE, 0x24, 0x9B, 0x3E, 0xF9, \
978      0x7D, 0x2F, 0xE3, 0x63, 0x63, 0x0C, 0x75, 0xD8, \
979      0xF6, 0x81, 0xB2, 0x02, 0xAE, 0xC4, 0x61, 0x7A, \
980      0xD3, 0xDF, 0x1E, 0xD5, 0xD5, 0xFD, 0x65, 0x61, \
981      0x24, 0x33, 0xF5, 0x1F, 0x5F, 0x06, 0x6E, 0xD0, \
982      0x85, 0x63, 0x65, 0x55, 0x3D, 0xED, 0x1A, 0xF3, \
983      0xB5, 0x57, 0x13, 0x5E, 0x7F, 0x57, 0xC9, 0x35, \
984      0x98, 0x4F, 0x0C, 0x70, 0xE0, 0xE6, 0x8B, 0x77, \
985      0xE2, 0xA6, 0x89, 0xDA, 0xF3, 0xEF, 0xE8, 0x72, \
986      0x1D, 0xF1, 0x58, 0xA1, 0x36, 0xAD, 0xE7, 0x35, \
987      0x30, 0xAC, 0xCA, 0x4F, 0x48, 0x3A, 0x79, 0x7A, \
988      0xBC, 0x0A, 0xB1, 0x82, 0xB3, 0x24, 0xFB, 0x61, \
989      0xD1, 0x08, 0xA9, 0x4B, 0xB2, 0xC8, 0xE3, 0xFB, \
990      0xB9, 0x6A, 0xDA, 0xB7, 0x60, 0xD7, 0xF4, 0x68, \
991      0x1D, 0x4F, 0x42, 0xA3, 0xDE, 0x39, 0x4D, 0xF4, \
992      0xAE, 0x56, 0xED, 0xE7, 0x63, 0x72, 0xBB, 0x19, \
993      0x0B, 0x07, 0xA7, 0xC8, 0xEE, 0x0A, 0x6D, 0x70, \
994      0x9E, 0x02, 0xFC, 0xE1, 0xCD, 0xF7, 0xE2, 0xEC, \
995      0xC0, 0x34, 0x04, 0xCD, 0x28, 0x34, 0x2F, 0x61, \
996      0x91, 0x72, 0xFE, 0x9C, 0xE9, 0x85, 0x83, 0xFF, \
997      0x8E, 0x4F, 0x12, 0x32, 0xEE, 0xF2, 0x81, 0x83, \
998      0xC3, 0xFE, 0x3B, 0x1B, 0x4C, 0x6F, 0xAD, 0x73, \
999      0x3B, 0xB5, 0xFC, 0xBC, 0x2E, 0xC2, 0x20, 0x05, \
1000      0xC5, 0x8E, 0xF1, 0x83, 0x7D, 0x16, 0x83, 0xB2, \
1001      0xC6, 0xF3, 0x4A, 0x26, 0xC1, 0xB2, 0xEF, 0xFA, \
1002      0x88, 0x6B, 0x42, 0x38, 0x61, 0x1F, 0xCF, 0xDC, \
1003      0xDE, 0x35, 0x5B, 0x3B, 0x65, 0x19, 0x03, 0x5B, \
1004      0xBC, 0x34, 0xF4, 0xDE, 0xF9, 0x9C, 0x02, 0x38, \
1005      0x61, 0xB4, 0x6F, 0xC9, 0xD6, 0xE6, 0xC9, 0x07, \
1006      0x7A, 0xD9, 0x1D, 0x26, 0x91, 0xF7, 0xF7, 0xEE, \
1007      0x59, 0x8C, 0xB0, 0xFA, 0xC1, 0x86, 0xD9, 0x1C, \
1008      0xAE, 0xFE, 0x13, 0x09, 0x85, 0x13, 0x92, 0x70, \
1009      0xB4, 0x13, 0x0C, 0x93, 0xBC, 0x43, 0x79, 0x44, \
1010      0xF4, 0xFD, 0x44, 0x52, 0xE2, 0xD7, 0x4D, 0xD3, \
1011      0x64, 0xF2, 0xE2, 0x1E, 0x71, 0xF5, 0x4B, 0xFF, \
1012      0x5C, 0xAE, 0x82, 0xAB, 0x9C, 0x9D, 0xF6, 0x9E, \
1013      0xE8, 0x6D, 0x2B, 0xC5, 0x22, 0x36, 0x3A, 0x0D, \
1014      0xAB, 0xC5, 0x21, 0x97, 0x9B, 0x0D, 0xEA, 0xDA, \
1015      0x1D, 0xBF, 0x9A, 0x42, 0xD5, 0xC4, 0x48, 0x4E, \
1016      0x0A, 0xBC, 0xD0, 0x6B, 0xFA, 0x53, 0xDD, 0xEF, \
1017      0x3C, 0x1B, 0x20, 0xEE, 0x3F, 0xD5, 0x9D, 0x7C, \
1018      0x25, 0xE4, 0x1D, 0x2B, 0x66, 0x9E, 0x1E, 0xF1, \
1019      0x6E, 0x6F, 0x52, 0xC3, 0x16, 0x4D, 0xF4, 0xFB, \
1020      0x79, 0x30, 0xE9, 0xE4, 0xE5, 0x88, 0x57, 0xB6, \
1021      0xAC, 0x7D, 0x5F, 0x42, 0xD6, 0x9F, 0x6D, 0x18, \
1022      0x77, 0x63, 0xCF, 0x1D, 0x55, 0x03, 0x40, 0x04, \
1023      0x87, 0xF5, 0x5B, 0xA5, 0x7E, 0x31, 0xCC, 0x7A, \
1024      0x71, 0x35, 0xC8, 0x86, 0xEF, 0xB4, 0x31, 0x8A, \
1025      0xED, 0x6A, 0x1E, 0x01, 0x2D, 0x9E, 0x68, 0x32, \
1026      0xA9, 0x07, 0x60, 0x0A, 0x91, 0x81, 0x30, 0xC4, \
1027      0x6D, 0xC7, 0x78, 0xF9, 0x71, 0xAD, 0x00, 0x38, \
1028      0x09, 0x29, 0x99, 0xA3, 0x33, 0xCB, 0x8B, 0x7A, \
1029      0x1A, 0x1D, 0xB9, 0x3D, 0x71, 0x40, 0x00, 0x3C, \
1030      0x2A, 0x4E, 0xCE, 0xA9, 0xF9, 0x8D, 0x0A, 0xCC, \
1031      0x0A, 0x82, 0x91, 0xCD, 0xCE, 0xC9, 0x7D, 0xCF, \
1032      0x8E, 0xC9, 0xB5, 0x5A, 0x7F, 0x88, 0xA4, 0x6B, \
1033      0x4D, 0xB5, 0xA8, 0x51, 0xF4, 0x41, 0x82, 0xE1, \
1034      0xC6, 0x8A, 0x00, 0x7E, 0x5E, 0x0D, 0xD9, 0x02, \
1035      0x0B, 0xFD, 0x64, 0xB6, 0x45, 0x03, 0x6C, 0x7A, \
1036      0x4E, 0x67, 0x7D, 0x2C, 0x38, 0x53, 0x2A, 0x3A, \
1037      0x23, 0xBA, 0x44, 0x42, 0xCA, 0xF5, 0x3E, 0xA6, \
1038      0x3B, 0xB4, 0x54, 0x32, 0x9B, 0x76, 0x24, 0xC8, \
1039      0x91, 0x7B, 0xDD, 0x64, 0xB1, 0xC0, 0xFD, 0x4C, \
1040      0xB3, 0x8E, 0x8C, 0x33, 0x4C, 0x70, 0x1C, 0x3A, \
1041      0xCD, 0xAD, 0x06, 0x57, 0xFC, 0xCF, 0xEC, 0x71, \
1042      0x9B, 0x1F, 0x5C, 0x3E, 0x4E, 0x46, 0x04, 0x1F, \
1043      0x38, 0x81, 0x47, 0xFB, 0x4C, 0xFD, 0xB4, 0x77, \
1044      0xA5, 0x24, 0x71, 0xF7, 0xA9, 0xA9, 0x69, 0x10, \
1045      0xB8, 0x55, 0x32, 0x2E, 0xDB, 0x63, 0x40, 0xD8, \
1046      0xA0, 0x0E, 0xF0, 0x92, 0x35, 0x05, 0x11, 0xE3, \
1047      0x0A, 0xBE, 0xC1, 0xFF, 0xF9, 0xE3, 0xA2, 0x6E, \
1048      0x7F, 0xB2, 0x9F, 0x8C, 0x18, 0x30, 0x23, 0xC3, \
1049      0x58, 0x7E, 0x38, 0xDA, 0x00, 0x77, 0xD9, 0xB4, \
1050      0x76, 0x3E, 0x4E, 0x4B, 0x94, 0xB2, 0xBB, 0xC1, \
1051      0x94, 0xC6, 0x65, 0x1E, 0x77, 0xCA, 0xF9, 0x92, \
1052      0xEE, 0xAA, 0xC0, 0x23, 0x2A, 0x28, 0x1B, 0xF6, \
1053      0xB3, 0xA7, 0x39, 0xC1, 0x22, 0x61, 0x16, 0x82, \
1054      0x0A, 0xE8, 0xDB, 0x58, 0x47, 0xA6, 0x7C, 0xBE, \
1055      0xF9, 0xC9, 0x09, 0x1B, 0x46, 0x2D, 0x53, 0x8C, \
1056      0xD7, 0x2B, 0x03, 0x74, 0x6A, 0xE7, 0x7F, 0x5E, \
1057      0x62, 0x29, 0x2C, 0x31, 0x15, 0x62, 0xA8, 0x46, \
1058      0x50, 0x5D, 0xC8, 0x2D, 0xB8, 0x54, 0x33, 0x8A, \
1059      0xE4, 0x9F, 0x52, 0x35, 0xC9, 0x5B, 0x91, 0x17, \
1060      0x8C, 0xCF, 0x2D, 0xD5, 0xCA, 0xCE, 0xF4, 0x03, \
1061      0xEC, 0x9D, 0x18, 0x10, 0xC6, 0x27, 0x2B, 0x04, \
1062      0x5B, 0x3B, 0x71, 0xF9, 0xDC, 0x6B, 0x80, 0xD6, \
1063      0x3F, 0xDD, 0x4A, 0x8E, 0x9A, 0xDB, 0x1E, 0x69, \
1064      0x62, 0xA6, 0x95, 0x26, 0xD4, 0x31, 0x61, 0xC1, \
1065      0xA4, 0x1D, 0x57, 0x0D, 0x79, 0x38, 0xDA, 0xD4, \
1066      0xA4, 0x0E, 0x32, 0x9C, 0xCF, 0xF4, 0x6A, 0xAA, \
1067      0x36, 0xAD, 0x00, 0x4C, 0xF6, 0x00, 0xC8, 0x38, \
1068      0x1E, 0x42, 0x5A, 0x31, 0xD9, 0x51, 0xAE, 0x64, \
1069      0xFD, 0xB2, 0x3F, 0xCE, 0xC9, 0x50, 0x9D, 0x43, \
1070      0x68, 0x7F, 0xEB, 0x69, 0xED, 0xD1, 0xCC, 0x5E, \
1071      0x0B, 0x8C, 0xC3, 0xBD, 0xF6, 0x4B, 0x10, 0xEF, \
1072      0x86, 0xB6, 0x31, 0x42, 0xA3, 0xAB, 0x88, 0x29, \
1073      0x55, 0x5B, 0x2F, 0x74, 0x7C, 0x93, 0x26, 0x65, \
1074      0xCB, 0x2C, 0x0F, 0x1C, 0xC0, 0x1B, 0xD7, 0x02, \
1075      0x29, 0x38, 0x88, 0x39, 0xD2, 0xAF, 0x05, 0xE4, \
1076      0x54, 0x50, 0x4A, 0xC7, 0x8B, 0x75, 0x82, 0x82, \
1077      0x28, 0x46, 0xC0, 0xBA, 0x35, 0xC3, 0x5F, 0x5C, \
1078      0x59, 0x16, 0x0C, 0xC0, 0x46, 0xFD, 0x82, 0x51, \
1079      0x54, 0x1F, 0xC6, 0x8C, 0x9C, 0x86, 0xB0, 0x22, \
1080      0xBB, 0x70, 0x99, 0x87, 0x6A, 0x46, 0x0E, 0x74, \
1081      0x51, 0xA8, 0xA9, 0x31, 0x09, 0x70, 0x3F, 0xEE, \
1082      0x1C, 0x21, 0x7E, 0x6C, 0x38, 0x26, 0xE5, 0x2C, \
1083      0x51, 0xAA, 0x69, 0x1E, 0x0E, 0x42, 0x3C, 0xFC, \
1084      0x99, 0xE9, 0xE3, 0x16, 0x50, 0xC1, 0x21, 0x7B, \
1085      0x62, 0x48, 0x16, 0xCD, 0xAD, 0x9A, 0x95, 0xF9, \
1086      0xD5, 0xB8, 0x01, 0x94, 0x88, 0xD9, 0xC0, 0xA0, \
1087      0xA1, 0xFE, 0x30, 0x75, 0xA5, 0x77, 0xE2, 0x31, \
1088      0x83, 0xF8, 0x1D, 0x4A, 0x3F, 0x2F, 0xA4, 0x57, \
1089      0x1E, 0xFC, 0x8C, 0xE0, 0xBA, 0x8A, 0x4F, 0xE8, \
1090      0xB6, 0x85, 0x5D, 0xFE, 0x72, 0xB0, 0xA6, 0x6E, \
1091      0xDE, 0xD2, 0xFB, 0xAB, 0xFB, 0xE5, 0x8A, 0x30, \
1092      0xFA, 0xFA, 0xBE, 0x1C, 0x5D, 0x71, 0xA8, 0x7E, \
1093      0x2F, 0x74, 0x1E, 0xF8, 0xC1, 0xFE, 0x86, 0xFE, \
1094      0xA6, 0xBB, 0xFD, 0xE5, 0x30, 0x67, 0x7F, 0x0D, \
1095      0x97, 0xD1, 0x1D, 0x49, 0xF7, 0xA8, 0x44, 0x3D, \
1096      0x08, 0x22, 0xE5, 0x06, 0xA9, 0xF4, 0x61, 0x4E, \
1097      0x01, 0x1E, 0x2A, 0x94, 0x83, 0x8F, 0xF8, 0x8C, \
1098      0xD6, 0x8C, 0x8B, 0xB7, 0xC5, 0xC6, 0x42, 0x4C, \
1099      0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF }
1100 
1101 #define MBEDTLS_DHM_RFC7919_FFDHE8192_G_BIN { 0x02 }
1102 
1103 #endif /* dhm.h */
1104