src/src/std-crypto.c

   1 /*************************************************
   2 *     Exim - an Internet mail transport agent    *
   3 *************************************************/
   4
   5 /* Copyright (c) Phil Pennock 2012, 2016
   6  * But almost everything here is fixed published constants from RFCs, so also:
   7  * Copyright (C) The Internet Society (2003)
   8  * Copyright (C) The IETF Trust (2008)
   9  * Most of the text in RFC referencing comments is copy/paste from RFC,
  10  * as is undoubtedly the intention.
  11  * The constants are generated from that text using util/gen_pkcs3.c invoked
  12  * with the -C option.
  13  */
  14
  15 /* See the file NOTICE for conditions of use and distribution. */
  16
  17 #include "exim.h"
  18
  19 #ifndef SUPPORT_TLS
  20 static void dummy(int x) { dummy(x-1); }
  21 #else
  22
  23 /* The IETF defines standard primes as "Modular Exponential (MODP) Groups" for
  24 use in IKE in RFC 2409 and 3526, and then some more, "for Use with IETF
  25 Standards" in RFC 5114.  These have been thoroughly reviewed as meeting
  26 certain eligibility criteria, which is more than can be said for primes
  27 generated quickly on no particular criteria.
  28
  29 Any prime used in TLS is disclosed publicly, and if the security of your
  30 session depends upon the prime being secret, then one of three situations
  31 holds:
  32  (1) the prime is too small
  33  (2) the prime is flawed, use one of these instead
  34  (3) you know of fundamental cryptanalytic breaks not currently publicly known
  35      to the cryptographic community.
  36 */
  37
  38 /* RFC 2409 MODP IKE_id=1 generator=2 bits=768
  39    The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
  40    Its hexadecimal value is
  41          FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
  42          29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
  43          EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
  44          E485B576 625E7EC6 F44C42E9 A63A3620 FFFFFFFF FFFFFFFF
  45 */
  46 static const char dh_ike_1_pem[] =
  47 "-----BEGIN DH PARAMETERS-----\n"
  48 "MGYCYQD//////////8kP2qIhaMI0xMZii4DcHNEpAk4IimfMdAILvqY7E5siUUoI\n"
  49 "eY40BN3vlRmzzTpDGzArCm3yXxQ3T+E1bW1RwkXkhbV2Yl5+xvRMQummOjYg////\n"
  50 "//////8CAQI=\n"
  51 "-----END DH PARAMETERS-----\n";
  52
  53 /* RFC 2409 MODP IKE_id=2 generator=2 bits=1024
  54    The prime is 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
  55    Its hexadecimal value is
  56
  57          FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
  58          29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
  59          EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
  60          E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
  61          EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE65381
  62          FFFFFFFF FFFFFFFF
  63 */
  64 static const char dh_ike_2_pem[] =
  65 "-----BEGIN DH PARAMETERS-----\n"
  66 "MIGHAoGBAP//////////yQ/aoiFowjTExmKLgNwc0SkCTgiKZ8x0Agu+pjsTmyJR\n"
  67 "Sgh5jjQE3e+VGbPNOkMbMCsKbfJfFDdP4TVtbVHCReSFtXZiXn7G9ExC6aY37WsL\n"
  68 "/1y29Aa37e44a/taiZ+lrp8kEXxLH+ZJKGZR7OZTgf//////////AgEC\n"
  69 "-----END DH PARAMETERS-----\n";
  70
  71 /* RFC 2409; id=3 and id=4 are EC2N, not yet supported here */
  72
  73 /* RFC 3526 MODP IKE_id=5 generator=2 bits=1536
  74    The prime is: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
  75    Its hexadecimal value is:
  76
  77       FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
  78       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
  79       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
  80       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
  81       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D
  82       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F
  83       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
  84       670C354E 4ABC9804 F1746C08 CA237327 FFFFFFFF FFFFFFFF
  85 */
  86 static const char dh_ike_5_pem[] =
  87 "-----BEGIN DH PARAMETERS-----\n"
  88 "MIHHAoHBAP//////////yQ/aoiFowjTExmKLgNwc0SkCTgiKZ8x0Agu+pjsTmyJR\n"
  89 "Sgh5jjQE3e+VGbPNOkMbMCsKbfJfFDdP4TVtbVHCReSFtXZiXn7G9ExC6aY37WsL\n"
  90 "/1y29Aa37e44a/taiZ+lrp8kEXxLH+ZJKGZR7ORbPcIAfLihY78FmNpINhxV05pp\n"
  91 "Fj+o/STPX4NlXSPco62WHGLzViCFUrue1SkHcJaWbWcMNU5KvJgE8XRsCMojcyf/\n"
  92 "/////////wIBAg==\n"
  93 "-----END DH PARAMETERS-----\n";
  94
  95 /* RFC 3526 MODP IKE_id=14 generator=2 bits=2048
  96    This prime is: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
  97    Its hexadecimal value is:
  98
  99       FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
 100       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
 101       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
 102       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
 103       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D
 104       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F
 105       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
 106       670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B
 107       E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9
 108       DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510
 109       15728E5A 8AACAA68 FFFFFFFF FFFFFFFF
 110 */
 111 static const char dh_ike_14_pem[] =
 112 "-----BEGIN DH PARAMETERS-----\n"
 113 "MIIBCAKCAQEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb\n"
 114 "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft\n"
 115 "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT\n"
 116 "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh\n"
 117 "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq\n"
 118 "5RXSJhiY+gUQFXKOWoqsqmj//////////wIBAg==\n"
 119 "-----END DH PARAMETERS-----\n";
 120
 121 /* RFC 3526 MODP IKE_id=15 generator=2 bits=3072
 122    This prime is: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
 123    Its hexadecimal value is:
 124
 125       FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
 126       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
 127       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
 128       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
 129       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D
 130       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F
 131       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
 132       670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B
 133       E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9
 134       DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510
 135       15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64
 136       ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7
 137       ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B
 138       F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
 139       BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31
 140       43DB5BFC E0FD108E 4B82D120 A93AD2CA FFFFFFFF FFFFFFFF
 141 */
 142 static const char dh_ike_15_pem[] =
 143 "-----BEGIN DH PARAMETERS-----\n"
 144 "MIIBiAKCAYEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb\n"
 145 "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft\n"
 146 "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT\n"
 147 "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh\n"
 148 "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq\n"
 149 "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM\n"
 150 "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq\n"
 151 "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqTrS\n"
 152 "yv//////////AgEC\n"
 153 "-----END DH PARAMETERS-----\n";
 154
 155 /* RFC 3526 MODP IKE_id=16 generator=2 bits=4096
 156    This prime is: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
 157    Its hexadecimal value is:
 158
 159       FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
 160       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
 161       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
 162       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
 163       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D
 164       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F
 165       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
 166       670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B
 167       E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9
 168       DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510
 169       15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64
 170       ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7
 171       ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B
 172       F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
 173       BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31
 174       43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7
 175       88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA
 176       2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6
 177       287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED
 178       1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9
 179       93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34063199
 180       FFFFFFFF FFFFFFFF
 181 */
 182 static const char dh_ike_16_pem[] =
 183 "-----BEGIN DH PARAMETERS-----\n"
 184 "MIICCAKCAgEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb\n"
 185 "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft\n"
 186 "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT\n"
 187 "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh\n"
 188 "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq\n"
 189 "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM\n"
 190 "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq\n"
 191 "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI\n"
 192 "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O\n"
 193 "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI\n"
 194 "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0BjGZ//////////8CAQI=\n"
 195 "-----END DH PARAMETERS-----\n";
 196
 197 /* RFC 3526 MODP IKE_id=17 generator=2 bits=6144
 198    This prime is: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
 199    Its hexadecimal value is:
 200
 201    FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08
 202    8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B
 203    302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9
 204    A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6
 205    49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8
 206    FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
 207    670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C
 208    180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718
 209    3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D
 210    04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D
 211    B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226
 212    1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
 213    BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC
 214    E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26
 215    99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB
 216    04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2
 217    233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127
 218    D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492
 219    36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD F8FF9406
 220    AD9E530E E5DB382F 413001AE B06A53ED 9027D831 179727B0 865A8918
 221    DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B DB7F1447 E6CC254B 33205151
 222    2BD7AF42 6FB8F401 378CD2BF 5983CA01 C64B92EC F032EA15 D1721D03
 223    F482D7CE 6E74FEF6 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F
 224    BEC7E8F3 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA
 225    CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 06A1D58B
 226    B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C DA56C9EC 2EF29632
 227    387FE8D7 6E3C0468 043E8F66 3F4860EE 12BF2D5B 0B7474D6 E694F91E
 228    6DCC4024 FFFFFFFF FFFFFFFF
 229 */
 230 static const char dh_ike_17_pem[] =
 231 "-----BEGIN DH PARAMETERS-----\n"
 232 "MIIDCAKCAwEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb\n"
 233 "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft\n"
 234 "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT\n"
 235 "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh\n"
 236 "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq\n"
 237 "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM\n"
 238 "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq\n"
 239 "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI\n"
 240 "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O\n"
 241 "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI\n"
 242 "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG\n"
 243 "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU\n"
 244 "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId\n"
 245 "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha\n"
 246 "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/\n"
 247 "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebcxA\n"
 248 "JP//////////AgEC\n"
 249 "-----END DH PARAMETERS-----\n";
 250
 251 /* RFC 3526 MODP IKE_id=18 generator=2 bits=8192
 252    This prime is: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
 253    Its hexadecimal value is:
 254
 255       FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
 256       29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
 257       EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
 258       E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
 259       EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D
 260       C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F
 261       83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D
 262       670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B
 263       E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9
 264       DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510
 265       15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64
 266       ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7
 267       ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B
 268       F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C
 269       BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31
 270       43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7
 271       88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA
 272       2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6
 273       287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED
 274       1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9
 275       93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492
 276       36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD
 277       F8FF9406 AD9E530E E5DB382F 413001AE B06A53ED 9027D831
 278       179727B0 865A8918 DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B
 279       DB7F1447 E6CC254B 33205151 2BD7AF42 6FB8F401 378CD2BF
 280       5983CA01 C64B92EC F032EA15 D1721D03 F482D7CE 6E74FEF6
 281       D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F BEC7E8F3
 282       23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA
 283       CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328
 284       06A1D58B B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C
 285       DA56C9EC 2EF29632 387FE8D7 6E3C0468 043E8F66 3F4860EE
 286       12BF2D5B 0B7474D6 E694F91E 6DBE1159 74A3926F 12FEE5E4
 287       38777CB6 A932DF8C D8BEC4D0 73B931BA 3BC832B6 8D9DD300
 288       741FA7BF 8AFC47ED 2576F693 6BA42466 3AAB639C 5AE4F568
 289       3423B474 2BF1C978 238F16CB E39D652D E3FDB8BE FC848AD9
 290       22222E04 A4037C07 13EB57A8 1A23F0C7 3473FC64 6CEA306B
 291       4BCBC886 2F8385DD FA9D4B7F A2C087E8 79683303 ED5BDD3A
 292       062B3CF5 B3A278A6 6D2A13F8 3F44F82D DF310EE0 74AB6A36
 293       4597E899 A0255DC1 64F31CC5 0846851D F9AB4819 5DED7EA1
 294       B1D510BD 7EE74D73 FAF36BC3 1ECFA268 359046F4 EB879F92
 295       4009438B 481C6CD7 889A002E D5EE382B C9190DA6 FC026E47
 296       9558E447 5677E9AA 9E3050E2 765694DF C81F56E8 80B96E71
 297       60C980DD 98EDD3DF FFFFFFFF FFFFFFFF
 298 */
 299 static const char dh_ike_18_pem[] =
 300 "-----BEGIN DH PARAMETERS-----\n"
 301 "MIIECAKCBAEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb\n"
 302 "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft\n"
 303 "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT\n"
 304 "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh\n"
 305 "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq\n"
 306 "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM\n"
 307 "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq\n"
 308 "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI\n"
 309 "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O\n"
 310 "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI\n"
 311 "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG\n"
 312 "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU\n"
 313 "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId\n"
 314 "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha\n"
 315 "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/\n"
 316 "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebb4R\n"
 317 "WXSjkm8S/uXkOHd8tqky34zYvsTQc7kxujvIMraNndMAdB+nv4r8R+0ldvaTa6Qk\n"
 318 "ZjqrY5xa5PVoNCO0dCvxyXgjjxbL451lLeP9uL78hIrZIiIuBKQDfAcT61eoGiPw\n"
 319 "xzRz/GRs6jBrS8vIhi+Dhd36nUt/osCH6HloMwPtW906Bis89bOieKZtKhP4P0T4\n"
 320 "Ld8xDuB0q2o2RZfomaAlXcFk8xzFCEaFHfmrSBld7X6hsdUQvX7nTXP682vDHs+i\n"
 321 "aDWQRvTrh5+SQAlDi0gcbNeImgAu1e44K8kZDab8Am5HlVjkR1Z36aqeMFDidlaU\n"
 322 "38gfVuiAuW5xYMmA3Zjt09///////////wIBAg==\n"
 323 "-----END DH PARAMETERS-----\n";
 324
 325 /* RFC 5114 IKE_id=22
 326 2.1.  1024-bit MODP Group with 160-bit Prime Order Subgroup
 327
 328    The hexadecimal value of the prime is:
 329
 330    p = B10B8F96 A080E01D DE92DE5E AE5D54EC 52C99FBC FB06A3C6
 331        9A6A9DCA 52D23B61 6073E286 75A23D18 9838EF1E 2EE652C0
 332        13ECB4AE A9061123 24975C3C D49B83BF ACCBDD7D 90C4BD70
 333        98488E9C 219A7372 4EFFD6FA E5644738 FAA31A4F F55BCCC0
 334        A151AF5F 0DC8B4BD 45BF37DF 365C1A65 E68CFDA7 6D4DA708
 335        DF1FB2BC 2E4A4371
 336
 337    The hexadecimal value of the generator is:
 338
 339    g = A4D1CBD5 C3FD3412 6765A442 EFB99905 F8104DD2 58AC507F
 340        D6406CFF 14266D31 266FEA1E 5C41564B 777E690F 5504F213
 341        160217B4 B01B886A 5E91547F 9E2749F4 D7FBD7D3 B9A92EE1
 342        909D0D22 63F80A76 A6A24C08 7A091F53 1DBF0A01 69B6A28A
 343        D662A4D1 8E73AFA3 2D779D59 18D08BC8 858F4DCE F97C2A24
 344        855E6EEB 22B3B2E5
 345
 346    The generator generates a prime-order subgroup of size:
 347
 348    q = F518AA87 81A8DF27 8ABA4E7D 64B7CB9D 49462353
 349 */
 350 static const char dh_ike_22_pem[] =
 351 "-----BEGIN DH PARAMETERS-----\n"
 352 "MIIBCAKBgQCxC4+WoIDgHd6S3l6uXVTsUsmfvPsGo8aaap3KUtI7YWBz4oZ1oj0Y\n"
 353 "mDjvHi7mUsAT7LSuqQYRIySXXDzUm4O/rMvdfZDEvXCYSI6cIZpzck7/1vrlZEc4\n"
 354 "+qMaT/VbzMChUa9fDci0vUW/N982XBpl5oz9p21NpwjfH7K8LkpDcQKBgQCk0cvV\n"
 355 "w/00EmdlpELvuZkF+BBN0lisUH/WQGz/FCZtMSZv6h5cQVZLd35pD1UE8hMWAhe0\n"
 356 "sBuIal6RVH+eJ0n01/vX07mpLuGQnQ0iY/gKdqaiTAh6CR9THb8KAWm2oorWYqTR\n"
 357 "jnOvoy13nVkY0IvIhY9Nzvl8KiSFXm7rIrOy5Q==\n"
 358 "-----END DH PARAMETERS-----\n";
 359
 360 /* RFC 5114 IKE_id=23
 361 2.2.  2048-bit MODP Group with 224-bit Prime Order Subgroup
 362
 363    The hexadecimal value of the prime is:
 364
 365    p =  AD107E1E 9123A9D0 D660FAA7 9559C51F A20D64E5 683B9FD1
 366         B54B1597 B61D0A75 E6FA141D F95A56DB AF9A3C40 7BA1DF15
 367         EB3D688A 309C180E 1DE6B85A 1274A0A6 6D3F8152 AD6AC212
 368         9037C9ED EFDA4DF8 D91E8FEF 55B7394B 7AD5B7D0 B6C12207
 369         C9F98D11 ED34DBF6 C6BA0B2C 8BBC27BE 6A00E0A0 B9C49708
 370         B3BF8A31 70918836 81286130 BC8985DB 1602E714 415D9330
 371         278273C7 DE31EFDC 7310F712 1FD5A074 15987D9A DC0A486D
 372         CDF93ACC 44328387 315D75E1 98C641A4 80CD86A1 B9E587E8
 373         BE60E69C C928B2B9 C52172E4 13042E9B 23F10B0E 16E79763
 374         C9B53DCF 4BA80A29 E3FB73C1 6B8E75B9 7EF363E2 FFA31F71
 375         CF9DE538 4E71B81C 0AC4DFFE 0C10E64F
 376
 377    The hexadecimal value of the generator is:
 378
 379    g =  AC4032EF 4F2D9AE3 9DF30B5C 8FFDAC50 6CDEBE7B 89998CAF
 380         74866A08 CFE4FFE3 A6824A4E 10B9A6F0 DD921F01 A70C4AFA
 381         AB739D77 00C29F52 C57DB17C 620A8652 BE5E9001 A8D66AD7
 382         C1766910 1999024A F4D02727 5AC1348B B8A762D0 521BC98A
 383         E2471504 22EA1ED4 09939D54 DA7460CD B5F6C6B2 50717CBE
 384         F180EB34 118E98D1 19529A45 D6F83456 6E3025E3 16A330EF
 385         BB77A86F 0C1AB15B 051AE3D4 28C8F8AC B70A8137 150B8EEB
 386         10E183ED D19963DD D9E263E4 770589EF 6AA21E7F 5F2FF381
 387         B539CCE3 409D13CD 566AFBB4 8D6C0191 81E1BCFE 94B30269
 388         EDFE72FE 9B6AA4BD 7B5A0F1C 71CFFF4C 19C418E1 F6EC0179
 389         81BC087F 2A7065B3 84B890D3 191F2BFA
 390
 391    The generator generates a prime-order subgroup of size:
 392
 393    q =  801C0D34 C58D93FE 99717710 1F80535A 4738CEBC BF389A99
 394         B36371EB
 395 */
 396 static const char dh_ike_23_pem[] =
 397 "-----BEGIN DH PARAMETERS-----\n"
 398 "MIICCgKCAQEArRB+HpEjqdDWYPqnlVnFH6INZOVoO5/RtUsVl7YdCnXm+hQd+VpW\n"
 399 "26+aPEB7od8V6z1oijCcGA4d5rhaEnSgpm0/gVKtasISkDfJ7e/aTfjZHo/vVbc5\n"
 400 "S3rVt9C2wSIHyfmNEe002/bGugssi7wnvmoA4KC5xJcIs7+KMXCRiDaBKGEwvImF\n"
 401 "2xYC5xRBXZMwJ4Jzx94x79xzEPcSH9WgdBWYfZrcCkhtzfk6zEQyg4cxXXXhmMZB\n"
 402 "pIDNhqG55YfovmDmnMkosrnFIXLkEwQumyPxCw4W55djybU9z0uoCinj+3PBa451\n"
 403 "uX7zY+L/ox9xz53lOE5xuBwKxN/+DBDmTwKCAQEArEAy708tmuOd8wtcj/2sUGze\n"
 404 "vnuJmYyvdIZqCM/k/+OmgkpOELmm8N2SHwGnDEr6q3OddwDCn1LFfbF8YgqGUr5e\n"
 405 "kAGo1mrXwXZpEBmZAkr00CcnWsE0i7inYtBSG8mK4kcVBCLqHtQJk51U2nRgzbX2\n"
 406 "xrJQcXy+8YDrNBGOmNEZUppF1vg0Vm4wJeMWozDvu3eobwwasVsFGuPUKMj4rLcK\n"
 407 "gTcVC47rEOGD7dGZY93Z4mPkdwWJ72qiHn9fL/OBtTnM40CdE81Wavu0jWwBkYHh\n"
 408 "vP6UswJp7f5y/ptqpL17Wg8ccc//TBnEGOH27AF5gbwIfypwZbOEuJDTGR8r+g==\n"
 409 "-----END DH PARAMETERS-----\n";
 410
 411 /* RFC 5114 IKE_id=24
 412 2.3.  2048-bit MODP Group with 256-bit Prime Order Subgroup
 413
 414    The hexadecimal value of the prime is:
 415
 416    p = 87A8E61D B4B6663C FFBBD19C 65195999 8CEEF608 660DD0F2
 417        5D2CEED4 435E3B00 E00DF8F1 D61957D4 FAF7DF45 61B2AA30
 418        16C3D911 34096FAA 3BF4296D 830E9A7C 209E0C64 97517ABD
 419        5A8A9D30 6BCF67ED 91F9E672 5B4758C0 22E0B1EF 4275BF7B
 420        6C5BFC11 D45F9088 B941F54E B1E59BB8 BC39A0BF 12307F5C
 421        4FDB70C5 81B23F76 B63ACAE1 CAA6B790 2D525267 35488A0E
 422        F13C6D9A 51BFA4AB 3AD83477 96524D8E F6A167B5 A41825D9
 423        67E144E5 14056425 1CCACB83 E6B486F6 B3CA3F79 71506026
 424        C0B857F6 89962856 DED4010A BD0BE621 C3A3960A 54E710C3
 425        75F26375 D7014103 A4B54330 C198AF12 6116D227 6E11715F
 426        693877FA D7EF09CA DB094AE9 1E1A1597
 427
 428    The hexadecimal value of the generator is:
 429
 430    g = 3FB32C9B 73134D0B 2E775066 60EDBD48 4CA7B18F 21EF2054
 431        07F4793A 1A0BA125 10DBC150 77BE463F FF4FED4A AC0BB555
 432        BE3A6C1B 0C6B47B1 BC3773BF 7E8C6F62 901228F8 C28CBB18
 433        A55AE313 41000A65 0196F931 C77A57F2 DDF463E5 E9EC144B
 434        777DE62A AAB8A862 8AC376D2 82D6ED38 64E67982 428EBC83
 435        1D14348F 6F2F9193 B5045AF2 767164E1 DFC967C1 FB3F2E55
 436        A4BD1BFF E83B9C80 D052B985 D182EA0A DB2A3B73 13D3FE14
 437        C8484B1E 052588B9 B7D2BBD2 DF016199 ECD06E15 57CD0915
 438        B3353BBB 64E0EC37 7FD02837 0DF92B52 C7891428 CDC67EB6
 439        184B523D 1DB246C3 2F630784 90F00EF8 D647D148 D4795451
 440        5E2327CF EF98C582 664B4C0F 6CC41659
 441
 442    The generator generates a prime-order subgroup of size:
 443
 444    q = 8CF83642 A709A097 B4479976 40129DA2 99B1A47D 1EB3750B
 445        A308B0FE 64F5FBD3
 446 */
 447 static const char dh_ike_24_pem[] =
 448 "-----BEGIN DH PARAMETERS-----\n"
 449 "MIICCQKCAQEAh6jmHbS2Zjz/u9GcZRlZmYzu9ghmDdDyXSzu1ENeOwDgDfjx1hlX\n"
 450 "1Pr330VhsqowFsPZETQJb6o79Cltgw6afCCeDGSXUXq9WoqdMGvPZ+2R+eZyW0dY\n"
 451 "wCLgse9Cdb97bFv8EdRfkIi5QfVOseWbuLw5oL8SMH9cT9twxYGyP3a2Osrhyqa3\n"
 452 "kC1SUmc1SIoO8TxtmlG/pKs62DR3llJNjvahZ7WkGCXZZ+FE5RQFZCUcysuD5rSG\n"
 453 "9rPKP3lxUGAmwLhX9omWKFbe1AEKvQvmIcOjlgpU5xDDdfJjddcBQQOktUMwwZiv\n"
 454 "EmEW0iduEXFfaTh3+tfvCcrbCUrpHhoVlwKCAQA/syybcxNNCy53UGZg7b1ITKex\n"
 455 "jyHvIFQH9Hk6GguhJRDbwVB3vkY//0/tSqwLtVW+OmwbDGtHsbw3c79+jG9ikBIo\n"
 456 "+MKMuxilWuMTQQAKZQGW+THHelfy3fRj5ensFEt3feYqqrioYorDdtKC1u04ZOZ5\n"
 457 "gkKOvIMdFDSPby+Rk7UEWvJ2cWTh38lnwfs/LlWkvRv/6DucgNBSuYXRguoK2yo7\n"
 458 "cxPT/hTISEseBSWIubfSu9LfAWGZ7NBuFVfNCRWzNTu7ZODsN3/QKDcN+StSx4kU\n"
 459 "KM3GfrYYS1I9HbJGwy9jB4SQ8A741kfRSNR5VFFeIyfP75jFgmZLTA9sxBZZ\n"
 460 "-----END DH PARAMETERS-----\n";
 461
 462 /* ------------------------------------------------------------------------- */
 463 /* RFC 7919 Published August 2016, so strength estimates date from then.
 464
 465 A.1.  ffdhe2048
 466
 467    The 2048-bit group has registry value 256 and is calculated from the
 468    following formula:
 469
 470    The modulus is:
 471
 472    p = 2^2048 - 2^1984 + {[2^1918 * e] + 560316 } * 2^64 - 1
 473
 474    The hexadecimal representation of p is:
 475
 476     FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1
 477     D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9
 478     7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561
 479     2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935
 480     984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735
 481     30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB
 482     B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19
 483     0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61
 484     9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73
 485     3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA
 486     886B4238 61285C97 FFFFFFFF FFFFFFFF
 487
 488    The generator is: g = 2
 489
 490    The group size is: q = (p-1)/2
 491
 492    The hexadecimal representation of q is:
 493
 494     7FFFFFFF FFFFFFFF D6FC2A2C 515DA54D 57EE2B10 139E9E78
 495     EC5CE2C1 E7169B4A D4F09B20 8A3219FD E649CEE7 124D9F7C
 496     BE97F1B1 B1863AEC 7B40D901 576230BD 69EF8F6A EAFEB2B0
 497     9219FA8F AF833768 42B1B2AA 9EF68D79 DAAB89AF 3FABE49A
 498     CC278638 707345BB F15344ED 79F7F439 0EF8AC50 9B56F39A
 499     98566527 A41D3CBD 5E0558C1 59927DB0 E88454A5 D96471FD
 500     DCB56D5B B06BFA34 0EA7A151 EF1CA6FA 572B76F3 B1B95D8C
 501     8583D3E4 770536B8 4F017E70 E6FBF176 601A0266 941A17B0
 502     C8B97F4E 74C2C1FF C7278919 777940C1 E1FF1D8D A637D6B9
 503     9DDAFE5E 17611002 E2C778C1 BE8B41D9 6379A513 60D977FD
 504     4435A11C 30942E4B FFFFFFFF FFFFFFFF
 505
 506    The estimated symmetric-equivalent strength of this group is 103
 507    bits.
 508 */
 509 static const char dh_ffdhe2048_pem[] =
 510 "-----BEGIN DH PARAMETERS-----\n"
 511 "MIH+AoH4DfhUWKK7Spqv3FYgJz088di5xYPOLTaVqeE2QRRkM/vMk53OJJs++X0v\n"
 512 "42NjDHXY9oGyAq7EYXrT3x7V1f1lYSQz9R9fBm7QhWNlVT3tGvO1VxNef1fJNZhP\n"
 513 "DHDg5ot34qaJ2vPv6HId8VihNq3nNTCsyk9IOnl6vAqxgrMk+2HRCKlLssjj+7lq\n"
 514 "2rdg1/RoHU9Co945TfSuVu3nY3K7GQsHp8juCm1wngL84c334uzANATNKDQvYZFy\n"
 515 "/pzphYP/jk8SMu7ygYPD/jsbTG+tczu1/LwuwiAFxY7xg30Wg7LG80omwbLv+ohr\n"
 516 "QjhhKFyX//////////8CAQI=\n"
 517 "-----END DH PARAMETERS-----\n";
 518
 519 /*
 520 A.2.  ffdhe3072
 521
 522    The 3072-bit prime has registry value 257 and is calculated from the
 523    following formula:
 524
 525    The modulus is:
 526
 527    p = 2^3072 - 2^3008 + {[2^2942 * e] + 2625351} * 2^64 - 1
 528
 529    The hexadecimal representation of p is:
 530
 531     FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1
 532     D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9
 533     7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561
 534     2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935
 535     984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735
 536     30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB
 537     B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19
 538     0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61
 539     9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73
 540     3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA
 541     886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238
 542     61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C
 543     AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3
 544     64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D
 545     ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF
 546     3C1B20EE 3FD59D7C 25E41D2B 66C62E37 FFFFFFFF FFFFFFFF
 547
 548    The generator is: g = 2
 549
 550    The group size is: q = (p-1)/2
 551
 552    The hexadecimal representation of q is:
 553
 554     7FFFFFFF FFFFFFFF D6FC2A2C 515DA54D 57EE2B10 139E9E78
 555     EC5CE2C1 E7169B4A D4F09B20 8A3219FD E649CEE7 124D9F7C
 556     BE97F1B1 B1863AEC 7B40D901 576230BD 69EF8F6A EAFEB2B0
 557     9219FA8F AF833768 42B1B2AA 9EF68D79 DAAB89AF 3FABE49A
 558     CC278638 707345BB F15344ED 79F7F439 0EF8AC50 9B56F39A
 559     98566527 A41D3CBD 5E0558C1 59927DB0 E88454A5 D96471FD
 560     DCB56D5B B06BFA34 0EA7A151 EF1CA6FA 572B76F3 B1B95D8C
 561     8583D3E4 770536B8 4F017E70 E6FBF176 601A0266 941A17B0
 562     C8B97F4E 74C2C1FF C7278919 777940C1 E1FF1D8D A637D6B9
 563     9DDAFE5E 17611002 E2C778C1 BE8B41D9 6379A513 60D977FD
 564     4435A11C 308FE7EE 6F1AAD9D B28C81AD DE1A7A6F 7CCE011C
 565     30DA37E4 EB736483 BD6C8E93 48FBFBF7 2CC6587D 60C36C8E
 566     577F0984 C289C938 5A098649 DE21BCA2 7A7EA229 716BA6E9
 567     B279710F 38FAA5FF AE574155 CE4EFB4F 743695E2 911B1D06
 568     D5E290CB CD86F56D 0EDFCD21 6AE22427 055E6835 FD29EEF7
 569     9E0D9077 1FEACEBE 12F20E95 B363171B FFFFFFFF FFFFFFFF
 570
 571    The estimated symmetric-equivalent strength of this group is 125
 572    bits.
 573 */
 574 static const char dh_ffdhe3072_pem[] =
 575 "-----BEGIN DH PARAMETERS-----\n"
 576 "MIIBiAKCAYEA//////////+t+FRYortKmq/cViAnPTzx2LnFg84tNpWp4TZBFGQz\n"
 577 "+8yTnc4kmz75fS/jY2MMddj2gbICrsRhetPfHtXV/WVhJDP1H18GbtCFY2VVPe0a\n"
 578 "87VXE15/V8k1mE8McODmi3fipona8+/och3xWKE2rec1MKzKT0g6eXq8CrGCsyT7\n"
 579 "YdEIqUuyyOP7uWrat2DX9GgdT0Kj3jlN9K5W7edjcrsZCwenyO4KbXCeAvzhzffi\n"
 580 "7MA0BM0oNC9hkXL+nOmFg/+OTxIy7vKBg8P+OxtMb61zO7X8vC7CIAXFjvGDfRaD\n"
 581 "ssbzSibBsu/6iGtCOGEfz9zeNVs7ZRkDW7w09N75nAI4YbRvydbmyQd62R0mkff3\n"
 582 "7lmMsPrBhtkcrv4TCYUTknC0EwyTvEN5RPT9RFLi103TZPLiHnH1S/9croKrnJ32\n"
 583 "nuhtK8UiNjoNq8Uhl5sN6todv5pC1cRITgq80Gv6U93vPBsg7j/VnXwl5B0rZsYu\n"
 584 "N///////////AgEC\n"
 585 "-----END DH PARAMETERS-----\n";
 586
 587 /*
 588 A.3.  ffdhe4096
 589
 590    The 4096-bit group has registry value 258 and is calculated from the
 591    following formula:
 592
 593    The modulus is:
 594
 595    p = 2^4096 - 2^4032 + {[2^3966 * e] + 5736041} * 2^64 - 1
 596
 597    The hexadecimal representation of p is:
 598
 599     FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1
 600     D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9
 601     7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561
 602     2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935
 603     984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735
 604     30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB
 605     B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19
 606     0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61
 607     9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73
 608     3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA
 609     886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238
 610     61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C
 611     AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3
 612     64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D
 613     ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF
 614     3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB
 615     7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004
 616     87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832
 617     A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A
 618     1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF
 619     8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E655F6A
 620     FFFFFFFF FFFFFFFF
 621
 622    The generator is: g = 2
 623
 624    The group size is: q = (p-1)/2
 625
 626    The hexadecimal representation of q is:
 627
 628     7FFFFFFF FFFFFFFF D6FC2A2C 515DA54D 57EE2B10 139E9E78
 629     EC5CE2C1 E7169B4A D4F09B20 8A3219FD E649CEE7 124D9F7C
 630     BE97F1B1 B1863AEC 7B40D901 576230BD 69EF8F6A EAFEB2B0
 631     9219FA8F AF833768 42B1B2AA 9EF68D79 DAAB89AF 3FABE49A
 632     CC278638 707345BB F15344ED 79F7F439 0EF8AC50 9B56F39A
 633     98566527 A41D3CBD 5E0558C1 59927DB0 E88454A5 D96471FD
 634     DCB56D5B B06BFA34 0EA7A151 EF1CA6FA 572B76F3 B1B95D8C
 635     8583D3E4 770536B8 4F017E70 E6FBF176 601A0266 941A17B0
 636     C8B97F4E 74C2C1FF C7278919 777940C1 E1FF1D8D A637D6B9
 637     9DDAFE5E 17611002 E2C778C1 BE8B41D9 6379A513 60D977FD
 638     4435A11C 308FE7EE 6F1AAD9D B28C81AD DE1A7A6F 7CCE011C
 639     30DA37E4 EB736483 BD6C8E93 48FBFBF7 2CC6587D 60C36C8E
 640     577F0984 C289C938 5A098649 DE21BCA2 7A7EA229 716BA6E9
 641     B279710F 38FAA5FF AE574155 CE4EFB4F 743695E2 911B1D06
 642     D5E290CB CD86F56D 0EDFCD21 6AE22427 055E6835 FD29EEF7
 643     9E0D9077 1FEACEBE 12F20E95 B34F0F78 B737A961 8B26FA7D
 644     BC9874F2 72C42BDB 563EAFA1 6B4FB68C 3BB1E78E AA81A002
 645     43FAADD2 BF18E63D 389AE443 77DA18C5 76B50F00 96CF3419
 646     5483B005 48C09862 36E3BC7C B8D6801C 0494CCD1 99E5C5BD
 647     0D0EDC9E B8A0001E 15276754 FCC68566 054148E6 E764BEE7
 648     C764DAAD 3FC45235 A6DAD428 FA20C170 E345003F 2F32AFB5
 649     7FFFFFFF FFFFFFFF
 650
 651    The estimated symmetric-equivalent strength of this group is 150
 652    bits.
 653 */
 654 static const char dh_ffdhe4096_pem[] =
 655 "-----BEGIN DH PARAMETERS-----\n"
 656 "MIICCAKCAgEA//////////+t+FRYortKmq/cViAnPTzx2LnFg84tNpWp4TZBFGQz\n"
 657 "+8yTnc4kmz75fS/jY2MMddj2gbICrsRhetPfHtXV/WVhJDP1H18GbtCFY2VVPe0a\n"
 658 "87VXE15/V8k1mE8McODmi3fipona8+/och3xWKE2rec1MKzKT0g6eXq8CrGCsyT7\n"
 659 "YdEIqUuyyOP7uWrat2DX9GgdT0Kj3jlN9K5W7edjcrsZCwenyO4KbXCeAvzhzffi\n"
 660 "7MA0BM0oNC9hkXL+nOmFg/+OTxIy7vKBg8P+OxtMb61zO7X8vC7CIAXFjvGDfRaD\n"
 661 "ssbzSibBsu/6iGtCOGEfz9zeNVs7ZRkDW7w09N75nAI4YbRvydbmyQd62R0mkff3\n"
 662 "7lmMsPrBhtkcrv4TCYUTknC0EwyTvEN5RPT9RFLi103TZPLiHnH1S/9croKrnJ32\n"
 663 "nuhtK8UiNjoNq8Uhl5sN6todv5pC1cRITgq80Gv6U93vPBsg7j/VnXwl5B0rZp4e\n"
 664 "8W5vUsMWTfT7eTDp5OWIV7asfV9C1p9tGHdjzx1VA0AEh/VbpX4xzHpxNciG77Qx\n"
 665 "iu1qHgEtnmgyqQdgCpGBMMRtx3j5ca0AOAkpmaMzy4t6Gh25PXFAADwqTs6p+Y0K\n"
 666 "zAqCkc3OyX3Pjsm1Wn+IpGtNtahR9EGC4caKAH5eZV9q//////////8CAQI=\n"
 667 "-----END DH PARAMETERS-----\n";
 668
 669 /*
 670 A.4.  ffdhe6144
 671
 672    The 6144-bit group has registry value 259 and is calculated from the
 673    following formula:
 674
 675    The modulus is:
 676
 677    p = 2^6144 - 2^6080 + {[2^6014 * e] + 15705020} * 2^64 - 1
 678
 679    The hexadecimal representation of p is:
 680
 681     FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1
 682     D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9
 683     7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561
 684     2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935
 685     984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735
 686     30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB
 687     B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19
 688     0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61
 689     9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73
 690     3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA
 691     886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238
 692     61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C
 693     AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3
 694     64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D
 695     ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF
 696     3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB
 697     7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004
 698     87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832
 699     A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A
 700     1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF
 701     8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902
 702     0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6
 703     3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A
 704     CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477
 705     A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3
 706     0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4
 707     763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6
 708     B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C
 709     D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A
 710     E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04
 711     5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1
 712     A41D570D 7938DAD4 A40E329C D0E40E65 FFFFFFFF FFFFFFFF
 713
 714    The generator is: g = 2
 715
 716    The group size is: q = (p-1)/2
 717
 718    The hexadecimal representation of q is:
 719
 720     7FFFFFFF FFFFFFFF D6FC2A2C 515DA54D 57EE2B10 139E9E78
 721     EC5CE2C1 E7169B4A D4F09B20 8A3219FD E649CEE7 124D9F7C
 722     BE97F1B1 B1863AEC 7B40D901 576230BD 69EF8F6A EAFEB2B0
 723     9219FA8F AF833768 42B1B2AA 9EF68D79 DAAB89AF 3FABE49A
 724     CC278638 707345BB F15344ED 79F7F439 0EF8AC50 9B56F39A
 725     98566527 A41D3CBD 5E0558C1 59927DB0 E88454A5 D96471FD
 726     DCB56D5B B06BFA34 0EA7A151 EF1CA6FA 572B76F3 B1B95D8C
 727     8583D3E4 770536B8 4F017E70 E6FBF176 601A0266 941A17B0
 728     C8B97F4E 74C2C1FF C7278919 777940C1 E1FF1D8D A637D6B9
 729     9DDAFE5E 17611002 E2C778C1 BE8B41D9 6379A513 60D977FD
 730     4435A11C 308FE7EE 6F1AAD9D B28C81AD DE1A7A6F 7CCE011C
 731     30DA37E4 EB736483 BD6C8E93 48FBFBF7 2CC6587D 60C36C8E
 732     577F0984 C289C938 5A098649 DE21BCA2 7A7EA229 716BA6E9
 733     B279710F 38FAA5FF AE574155 CE4EFB4F 743695E2 911B1D06
 734     D5E290CB CD86F56D 0EDFCD21 6AE22427 055E6835 FD29EEF7
 735     9E0D9077 1FEACEBE 12F20E95 B34F0F78 B737A961 8B26FA7D
 736     BC9874F2 72C42BDB 563EAFA1 6B4FB68C 3BB1E78E AA81A002
 737     43FAADD2 BF18E63D 389AE443 77DA18C5 76B50F00 96CF3419
 738     5483B005 48C09862 36E3BC7C B8D6801C 0494CCD1 99E5C5BD
 739     0D0EDC9E B8A0001E 15276754 FCC68566 054148E6 E764BEE7
 740     C764DAAD 3FC45235 A6DAD428 FA20C170 E345003F 2F06EC81
 741     05FEB25B 2281B63D 2733BE96 1C29951D 11DD2221 657A9F53
 742     1DDA2A19 4DBB1264 48BDEEB2 58E07EA6 59C74619 A6380E1D
 743     66D6832B FE67F638 CD8FAE1F 2723020F 9C40A3FD A67EDA3B
 744     D29238FB D4D4B488 5C2A9917 6DB1A06C 50077849 1A8288F1
 745     855F60FF FCF1D137 3FD94FC6 0C1811E1 AC3F1C6D 003BECDA
 746     3B1F2725 CA595DE0 CA63328F 3BE57CC9 77556011 95140DFB
 747     59D39CE0 91308B41 05746DAC 23D33E5F 7CE4848D A316A9C6
 748     6B9581BA 3573BFAF 31149618 8AB15423 282EE416 DC2A19C5
 749     724FA91A E4ADC88B C66796EA E5677A01 F64E8C08 63139582
 750     2D9DB8FC EE35C06B 1FEEA547 4D6D8F34 B1534A93 6A18B0E0
 751     D20EAB86 BC9C6D6A 5207194E 68720732 FFFFFFFF FFFFFFFF
 752
 753    The estimated symmetric-equivalent strength of this group is 175
 754    bits.
 755 */
 756 static const char dh_ffdhe6144_pem[] =
 757 "-----BEGIN DH PARAMETERS-----\n"
 758 "MIIDCAKCAwEA//////////+t+FRYortKmq/cViAnPTzx2LnFg84tNpWp4TZBFGQz\n"
 759 "+8yTnc4kmz75fS/jY2MMddj2gbICrsRhetPfHtXV/WVhJDP1H18GbtCFY2VVPe0a\n"
 760 "87VXE15/V8k1mE8McODmi3fipona8+/och3xWKE2rec1MKzKT0g6eXq8CrGCsyT7\n"
 761 "YdEIqUuyyOP7uWrat2DX9GgdT0Kj3jlN9K5W7edjcrsZCwenyO4KbXCeAvzhzffi\n"
 762 "7MA0BM0oNC9hkXL+nOmFg/+OTxIy7vKBg8P+OxtMb61zO7X8vC7CIAXFjvGDfRaD\n"
 763 "ssbzSibBsu/6iGtCOGEfz9zeNVs7ZRkDW7w09N75nAI4YbRvydbmyQd62R0mkff3\n"
 764 "7lmMsPrBhtkcrv4TCYUTknC0EwyTvEN5RPT9RFLi103TZPLiHnH1S/9croKrnJ32\n"
 765 "nuhtK8UiNjoNq8Uhl5sN6todv5pC1cRITgq80Gv6U93vPBsg7j/VnXwl5B0rZp4e\n"
 766 "8W5vUsMWTfT7eTDp5OWIV7asfV9C1p9tGHdjzx1VA0AEh/VbpX4xzHpxNciG77Qx\n"
 767 "iu1qHgEtnmgyqQdgCpGBMMRtx3j5ca0AOAkpmaMzy4t6Gh25PXFAADwqTs6p+Y0K\n"
 768 "zAqCkc3OyX3Pjsm1Wn+IpGtNtahR9EGC4caKAH5eDdkCC/1ktkUDbHpOZ30sOFMq\n"
 769 "OiO6RELK9T6mO7RUMpt2JMiRe91kscD9TLOOjDNMcBw6za0GV/zP7HGbH1w+TkYE\n"
 770 "HziBR/tM/bR3pSRx96mpaRC4VTIu22NA2KAO8JI1BRHjCr7B//njom5/sp+MGDAj\n"
 771 "w1h+ONoAd9m0dj5OS5Syu8GUxmUed8r5ku6qwCMqKBv2s6c5wSJhFoIK6NtYR6Z8\n"
 772 "vvnJCRtGLVOM1ysDdGrnf15iKSwxFWKoRlBdyC24VDOK5J9SNclbkReMzy3Vys70\n"
 773 "A+ydGBDGJysEWztx+dxrgNY/3UqOmtseaWKmlSbUMWHBpB1XDXk42tSkDjKc0OQO\n"
 774 "Zf//////////AgEC\n"
 775 "-----END DH PARAMETERS-----\n";
 776
 777 /*
 778 A.5.  ffdhe8192
 779
 780    The 8192-bit group has registry value 260 and is calculated from the
 781    following formula:
 782
 783    The modulus is:
 784
 785    p = 2^8192 - 2^8128 + {[2^8062 * e] + 10965728} * 2^64 - 1
 786
 787    The hexadecimal representation of p is:
 788
 789     FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1
 790     D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9
 791     7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561
 792     2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935
 793     984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735
 794     30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB
 795     B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19
 796     0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61
 797     9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73
 798     3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA
 799     886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238
 800     61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C
 801     AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3
 802     64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D
 803     ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF
 804     3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB
 805     7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004
 806     87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832
 807     A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A
 808     1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF
 809     8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902
 810     0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6
 811     3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A
 812     CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477
 813     A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3
 814     0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4
 815     763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6
 816     B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C
 817     D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A
 818     E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04
 819     5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1
 820     A41D570D 7938DAD4 A40E329C CFF46AAA 36AD004C F600C838
 821     1E425A31 D951AE64 FDB23FCE C9509D43 687FEB69 EDD1CC5E
 822     0B8CC3BD F64B10EF 86B63142 A3AB8829 555B2F74 7C932665
 823     CB2C0F1C C01BD702 29388839 D2AF05E4 54504AC7 8B758282
 824     2846C0BA 35C35F5C 59160CC0 46FD8251 541FC68C 9C86B022
 825     BB709987 6A460E74 51A8A931 09703FEE 1C217E6C 3826E52C
 826     51AA691E 0E423CFC 99E9E316 50C1217B 624816CD AD9A95F9
 827     D5B80194 88D9C0A0 A1FE3075 A577E231 83F81D4A 3F2FA457
 828     1EFC8CE0 BA8A4FE8 B6855DFE 72B0A66E DED2FBAB FBE58A30
 829     FAFABE1C 5D71A87E 2F741EF8 C1FE86FE A6BBFDE5 30677F0D
 830     97D11D49 F7A8443D 0822E506 A9F4614E 011E2A94 838FF88C
 831     D68C8BB7 C5C6424C FFFFFFFF FFFFFFFF
 832
 833    The generator is: g = 2
 834
 835    The group size is: q = (p-1)/2
 836
 837    The hexadecimal representation of q is:
 838
 839     7FFFFFFF FFFFFFFF D6FC2A2C 515DA54D 57EE2B10 139E9E78
 840     EC5CE2C1 E7169B4A D4F09B20 8A3219FD E649CEE7 124D9F7C
 841     BE97F1B1 B1863AEC 7B40D901 576230BD 69EF8F6A EAFEB2B0
 842     9219FA8F AF833768 42B1B2AA 9EF68D79 DAAB89AF 3FABE49A
 843     CC278638 707345BB F15344ED 79F7F439 0EF8AC50 9B56F39A
 844     98566527 A41D3CBD 5E0558C1 59927DB0 E88454A5 D96471FD
 845     DCB56D5B B06BFA34 0EA7A151 EF1CA6FA 572B76F3 B1B95D8C
 846     8583D3E4 770536B8 4F017E70 E6FBF176 601A0266 941A17B0
 847     C8B97F4E 74C2C1FF C7278919 777940C1 E1FF1D8D A637D6B9
 848     9DDAFE5E 17611002 E2C778C1 BE8B41D9 6379A513 60D977FD
 849     4435A11C 308FE7EE 6F1AAD9D B28C81AD DE1A7A6F 7CCE011C
 850     30DA37E4 EB736483 BD6C8E93 48FBFBF7 2CC6587D 60C36C8E
 851     577F0984 C289C938 5A098649 DE21BCA2 7A7EA229 716BA6E9
 852     B279710F 38FAA5FF AE574155 CE4EFB4F 743695E2 911B1D06
 853     D5E290CB CD86F56D 0EDFCD21 6AE22427 055E6835 FD29EEF7
 854     9E0D9077 1FEACEBE 12F20E95 B34F0F78 B737A961 8B26FA7D
 855     BC9874F2 72C42BDB 563EAFA1 6B4FB68C 3BB1E78E AA81A002
 856     43FAADD2 BF18E63D 389AE443 77DA18C5 76B50F00 96CF3419
 857     5483B005 48C09862 36E3BC7C B8D6801C 0494CCD1 99E5C5BD
 858     0D0EDC9E B8A0001E 15276754 FCC68566 054148E6 E764BEE7
 859     C764DAAD 3FC45235 A6DAD428 FA20C170 E345003F 2F06EC81
 860     05FEB25B 2281B63D 2733BE96 1C29951D 11DD2221 657A9F53
 861     1DDA2A19 4DBB1264 48BDEEB2 58E07EA6 59C74619 A6380E1D
 862     66D6832B FE67F638 CD8FAE1F 2723020F 9C40A3FD A67EDA3B
 863     D29238FB D4D4B488 5C2A9917 6DB1A06C 50077849 1A8288F1
 864     855F60FF FCF1D137 3FD94FC6 0C1811E1 AC3F1C6D 003BECDA
 865     3B1F2725 CA595DE0 CA63328F 3BE57CC9 77556011 95140DFB
 866     59D39CE0 91308B41 05746DAC 23D33E5F 7CE4848D A316A9C6
 867     6B9581BA 3573BFAF 31149618 8AB15423 282EE416 DC2A19C5
 868     724FA91A E4ADC88B C66796EA E5677A01 F64E8C08 63139582
 869     2D9DB8FC EE35C06B 1FEEA547 4D6D8F34 B1534A93 6A18B0E0
 870     D20EAB86 BC9C6D6A 5207194E 67FA3555 1B568026 7B00641C
 871     0F212D18 ECA8D732 7ED91FE7 64A84EA1 B43FF5B4 F6E8E62F
 872     05C661DE FB258877 C35B18A1 51D5C414 AAAD97BA 3E499332
 873     E596078E 600DEB81 149C441C E95782F2 2A282563 C5BAC141
 874     1423605D 1AE1AFAE 2C8B0660 237EC128 AA0FE346 4E435811
 875     5DB84CC3 B523073A 28D45498 84B81FF7 0E10BF36 1C137296
 876     28D5348F 07211E7E 4CF4F18B 286090BD B1240B66 D6CD4AFC
 877     EADC00CA 446CE050 50FF183A D2BBF118 C1FC0EA5 1F97D22B
 878     8F7E4670 5D4527F4 5B42AEFF 39585337 6F697DD5 FDF2C518
 879     7D7D5F0E 2EB8D43F 17BA0F7C 60FF437F 535DFEF2 9833BF86
 880     CBE88EA4 FBD4221E 84117283 54FA30A7 008F154A 41C7FC46
 881     6B4645DB E2E32126 7FFFFFFF FFFFFFFF
 882
 883    The estimated symmetric-equivalent strength of this group is 192
 884    bits.
 885 */
 886 static const char dh_ffdhe8192_pem[] =
 887 "-----BEGIN DH PARAMETERS-----\n"
 888 "MIIECAKCBAEA//////////+t+FRYortKmq/cViAnPTzx2LnFg84tNpWp4TZBFGQz\n"
 889 "+8yTnc4kmz75fS/jY2MMddj2gbICrsRhetPfHtXV/WVhJDP1H18GbtCFY2VVPe0a\n"
 890 "87VXE15/V8k1mE8McODmi3fipona8+/och3xWKE2rec1MKzKT0g6eXq8CrGCsyT7\n"
 891 "YdEIqUuyyOP7uWrat2DX9GgdT0Kj3jlN9K5W7edjcrsZCwenyO4KbXCeAvzhzffi\n"
 892 "7MA0BM0oNC9hkXL+nOmFg/+OTxIy7vKBg8P+OxtMb61zO7X8vC7CIAXFjvGDfRaD\n"
 893 "ssbzSibBsu/6iGtCOGEfz9zeNVs7ZRkDW7w09N75nAI4YbRvydbmyQd62R0mkff3\n"
 894 "7lmMsPrBhtkcrv4TCYUTknC0EwyTvEN5RPT9RFLi103TZPLiHnH1S/9croKrnJ32\n"
 895 "nuhtK8UiNjoNq8Uhl5sN6todv5pC1cRITgq80Gv6U93vPBsg7j/VnXwl5B0rZp4e\n"
 896 "8W5vUsMWTfT7eTDp5OWIV7asfV9C1p9tGHdjzx1VA0AEh/VbpX4xzHpxNciG77Qx\n"
 897 "iu1qHgEtnmgyqQdgCpGBMMRtx3j5ca0AOAkpmaMzy4t6Gh25PXFAADwqTs6p+Y0K\n"
 898 "zAqCkc3OyX3Pjsm1Wn+IpGtNtahR9EGC4caKAH5eDdkCC/1ktkUDbHpOZ30sOFMq\n"
 899 "OiO6RELK9T6mO7RUMpt2JMiRe91kscD9TLOOjDNMcBw6za0GV/zP7HGbH1w+TkYE\n"
 900 "HziBR/tM/bR3pSRx96mpaRC4VTIu22NA2KAO8JI1BRHjCr7B//njom5/sp+MGDAj\n"
 901 "w1h+ONoAd9m0dj5OS5Syu8GUxmUed8r5ku6qwCMqKBv2s6c5wSJhFoIK6NtYR6Z8\n"
 902 "vvnJCRtGLVOM1ysDdGrnf15iKSwxFWKoRlBdyC24VDOK5J9SNclbkReMzy3Vys70\n"
 903 "A+ydGBDGJysEWztx+dxrgNY/3UqOmtseaWKmlSbUMWHBpB1XDXk42tSkDjKcz/Rq\n"
 904 "qjatAEz2AMg4HkJaMdlRrmT9sj/OyVCdQ2h/62nt0cxeC4zDvfZLEO+GtjFCo6uI\n"
 905 "KVVbL3R8kyZlyywPHMAb1wIpOIg50q8F5FRQSseLdYKCKEbAujXDX1xZFgzARv2C\n"
 906 "UVQfxoychrAiu3CZh2pGDnRRqKkxCXA/7hwhfmw4JuUsUappHg5CPPyZ6eMWUMEh\n"
 907 "e2JIFs2tmpX51bgBlIjZwKCh/jB1pXfiMYP4HUo/L6RXHvyM4LqKT+i2hV3+crCm\n"
 908 "bt7S+6v75Yow+vq+HF1xqH4vdB74wf6G/qa7/eUwZ38Nl9EdSfeoRD0IIuUGqfRh\n"
 909 "TgEeKpSDj/iM1oyLt8XGQkz//////////wIBAg==\n"
 910 "-----END DH PARAMETERS-----\n";
 911
 912 /* ========================================================================= */
 913
 914 /*
 915  * Generated by Phil as a non-standard option.
 916  * openssl dhparam -2 2048
 917  * No provenance to prove non-tampering available, beyond trusting that this
 918  * developer generated this as stated above.
 919  */
 920
 921 /* MacOSX 10.10.5 invoking system OpenSSL 0.9.8zg */
 922 static const char dh_exim_20160529_1[] =
 923 "-----BEGIN DH PARAMETERS-----\n"
 924 "MIIBCAKCAQEA8ZMf89Gaye4bDEX1BXZ9+2edkXym9EK0GxmFilHEGpnhgLNmCk+H\n"
 925 "cCb+zn8Ed5bpCOmRuEv9N/VKPjSpno8jYiQbFgUL3vh8uKvQLJNTzDVDbpd3YO7E\n"
 926 "tiS0L0qWL57zIf8b3VZTMRsH4Orz2Rla61wVl6XpxE5WRfGqPS264Vvfew7xmCoi\n"
 927 "INaFzIU6zwk2WeD6K5asctYlQG/UtgY1nRFkQTebIOpm03a6/hw7F14l3yUZgXfv\n"
 928 "I3m4MFaWvxGcuZxddTijXw3VfjMdWvdH3Iz7IcqD32uEzK6Rgi/t4OVSw1kE2oDt\n"
 929 "cFThPUCWb7O4TVq9Xt2UZqZFNU6kUAkv2wIBAg==\n"
 930 "-----END DH PARAMETERS-----\n";
 931
 932 /* MacOSX 10.10.5 invoking OpenSSL 1.0.2h installed from brew bottle */
 933 static const char dh_exim_20160529_2[] =
 934 "-----BEGIN DH PARAMETERS-----\n"
 935 "MIIBCAKCAQEAot84eqyfSb5l8GRCN2ioWP5T85Z/2lVX9A9r9JzwDfvliAAqm6Vp\n"
 936 "UcHdAfVt54kc8DsmLiHdDhxY1I/wo+DcBylfVx13cmkroAocowOD5dwQMYk6iXjV\n"
 937 "ys4heRJhYlAHgt8QZH8dA8c/HLs+rlAHhSUPnetsZmcoPE0LRsjigJsiVXasm+sl\n"
 938 "g/77u5FCkgSrFILcD9PLPto1ciIXp2y8cjXQDk+D9FH1HaSCXLCLkuHxhQXxjTYO\n"
 939 "C3Q53aNLkDJ4zpPt7Kc9NxQFBVlNc260IFDOHTWhgV2zpyG6oIzQoHSmmiLAAfcF\n"
 940 "HrG7I06uZBLjuNGGaM0eeuxHNhs2G2EduwIBAg==\n"
 941 "-----END DH PARAMETERS-----\n";
 942
 943 /* Ubuntu 14.04.4 running on dual-core Atom D2500 with OneRNG entropy key */
 944 static const char dh_exim_20160529_3[] =
 945 "-----BEGIN DH PARAMETERS-----\n"
 946 "MIIBCAKCAQEAkbRYVoge2PtrmV1eKCKluSBFELgckuLSnkuH0TffqbmfoYM34lFu\n"
 947 "2vPM2LhnzKvEBQlIICOTzQD29kROacRfSKpsNINRXhXKUqI6sFXzUZu4Flk69XKG\n"
 948 "ZOSDYvWkI5pSn1amQ4Nnvn6s+uwn/f0ZDZDiKLW9TgntxJV4A2+yeymaeoGCbIXX\n"
 949 "5q8WgajFhAeut36RL93HBnXT1hT7Eja1Y81w9fOzQrwBuXhyfCkAdiMA/VCp0UD4\n"
 950 "0p7uf+okpckVnwD6WnUCHMij8nGlVblZELFYzNi0udtzIrSwlALbZXIeAqhbZXJO\n"
 951 "lCuYspJhzV0Vs0lDJwrxvNwtdg1ernVIowIBAg==\n"
 952 "-----END DH PARAMETERS-----\n";
 953
 954 /* ========================================================================= */
 955
 956 struct dh_constant {
 957   const char *label;
 958   const char *pem;
 959 };
 960
 961 /* KEEP SORTED ALPHABETICALLY;
 962  * duplicate PEM are okay, if we want aliases, but names must be alphabetical */
 963 static struct dh_constant dh_constants[] = {
 964     { "default", dh_exim_20160529_3 },
 965     { "exim.dev.20160529.1", dh_exim_20160529_1 },
 966     { "exim.dev.20160529.2", dh_exim_20160529_2 },
 967     { "exim.dev.20160529.3", dh_exim_20160529_3 },
 968     { "ffdhe2048", dh_ffdhe2048_pem },
 969     { "ffdhe3072", dh_ffdhe3072_pem },
 970     { "ffdhe4096", dh_ffdhe4096_pem },
 971     { "ffdhe6144", dh_ffdhe6144_pem },
 972     { "ffdhe8192", dh_ffdhe8192_pem },
 973     { "ike1", dh_ike_1_pem },
 974     { "ike14", dh_ike_14_pem },
 975     { "ike15", dh_ike_15_pem },
 976     { "ike16", dh_ike_16_pem },
 977     { "ike17", dh_ike_17_pem },
 978     { "ike18", dh_ike_18_pem },
 979     { "ike2", dh_ike_2_pem },
 980     { "ike22", dh_ike_22_pem },
 981     { "ike23", dh_ike_23_pem },
 982     { "ike24", dh_ike_24_pem },
 983     { "ike5", dh_ike_5_pem },
 984 };
 985 static const int dh_constants_count =
 986   sizeof(dh_constants) / sizeof(struct dh_constant);
 987
 988
 989 /* A policy decision; in absence of any other data, use a 2048 bit prime,
 990  * pick the first one from the latest RFC providing such. */
 991 const char *
 992 std_dh_prime_default(void)
 993 {
 994   return dh_ike_23_pem;
 995 }
 996
 997
 998 const char *
 999 std_dh_prime_named(const uschar *name)
1000 {
1001   int first, last;
1002   char *search_name = CS string_copylc(US name);
1003
1004   first = 0;
1005   last = dh_constants_count;
1006   while (last > first) {
1007     int middle = (first + last)/2;
1008     int c = strcmp(search_name, dh_constants[middle].label);
1009     if (c == 0)
1010       return dh_constants[middle].pem;
1011     else if (c > 0)
1012       first = middle + 1;
1013     else
1014       last = middle;
1015   }
1016   return NULL;
1017 }
1018
1019 #endif /* SUPPORT_TLS */
1020 /* EOF */