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      1 /*
      2  * Diffie-Hellman groups
      3  * Copyright (c) 2007, Jouni Malinen <j (at) w1.fi>
      4  *
      5  * This software may be distributed under the terms of the BSD license.
      6  * See README for more details.
      7  */
      8 
      9 #include "includes.h"
     10 
     11 #include "common.h"
     12 #include "crypto.h"
     13 #include "random.h"
     14 #include "dh_groups.h"
     15 
     16 
     17 #ifdef ALL_DH_GROUPS
     18 
     19 /* RFC 4306, B.1. Group 1 - 768 Bit MODP
     20  * Generator: 2
     21  * Prime: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
     22  */
     23 static const u8 dh_group1_generator[1] = { 0x02 };
     24 static const u8 dh_group1_prime[96] = {
     25 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
     26 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
     27 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
     28 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
     29 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
     30 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
     31 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
     32 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
     33 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
     34 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
     35 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x3A, 0x36, 0x20,
     36 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
     37 };
     38 
     39 /* RFC 4306, B.2. Group 2 - 1024 Bit MODP
     40  * Generator: 2
     41  * Prime: 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }
     42  */
     43 static const u8 dh_group2_generator[1] = { 0x02 };
     44 static const u8 dh_group2_prime[128] = {
     45 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
     46 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
     47 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
     48 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
     49 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
     50 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
     51 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
     52 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
     53 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
     54 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
     55 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
     56 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
     57 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
     58 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
     59 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE6, 0x53, 0x81,
     60 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
     61 };
     62 
     63 #endif /* ALL_DH_GROUPS */
     64 
     65 /* RFC 3526, 2. Group 5 - 1536 Bit MODP
     66  * Generator: 2
     67  * Prime: 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 }
     68  */
     69 static const u8 dh_group5_generator[1] = { 0x02 };
     70 static const u8 dh_group5_prime[192] = {
     71 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
     72 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
     73 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
     74 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
     75 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
     76 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
     77 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
     78 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
     79 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
     80 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
     81 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
     82 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
     83 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
     84 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
     85 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
     86 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
     87 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
     88 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
     89 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
     90 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
     91 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
     92 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
     93 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23, 0x73, 0x27,
     94 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
     95 };
     96 
     97 #ifdef ALL_DH_GROUPS
     98 
     99 /* RFC 3526, 3. Group 14 - 2048 Bit MODP
    100  * Generator: 2
    101  * Prime: 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }
    102  */
    103 static const u8 dh_group14_generator[1] = { 0x02 };
    104 static const u8 dh_group14_prime[256] = {
    105 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    106 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
    107 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    108 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
    109 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
    110 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    111 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
    112 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
    113 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    114 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
    115 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
    116 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    117 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
    118 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
    119 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    120 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
    121 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
    122 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    123 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
    124 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
    125 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    126 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
    127 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
    128 	0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    129 	0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
    130 	0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
    131 	0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    132 	0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
    133 	0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
    134 	0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    135 	0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAC, 0xAA, 0x68,
    136 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
    137 };
    138 
    139 /* RFC 3526, 4. Group 15 - 3072 Bit MODP
    140  * Generator: 2
    141  * Prime: 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 }
    142  */
    143 static const u8 dh_group15_generator[1] = { 0x02 };
    144 static const u8 dh_group15_prime[384] = {
    145 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    146 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
    147 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    148 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
    149 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
    150 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    151 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
    152 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
    153 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    154 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
    155 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
    156 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    157 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
    158 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
    159 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    160 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
    161 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
    162 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    163 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
    164 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
    165 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    166 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
    167 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
    168 	0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    169 	0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
    170 	0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
    171 	0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    172 	0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
    173 	0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
    174 	0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    175 	0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
    176 	0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
    177 	0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    178 	0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
    179 	0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
    180 	0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    181 	0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
    182 	0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
    183 	0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    184 	0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
    185 	0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
    186 	0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    187 	0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
    188 	0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
    189 	0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    190 	0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
    191 	0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x3A, 0xD2, 0xCA,
    192 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
    193 };
    194 
    195 /* RFC 3526, 5. Group 16 - 4096 Bit MODP
    196  * Generator: 2
    197  * Prime: 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 }
    198  */
    199 static const u8 dh_group16_generator[1] = { 0x02 };
    200 static const u8 dh_group16_prime[512] = {
    201 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    202 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
    203 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    204 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
    205 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
    206 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    207 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
    208 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
    209 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    210 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
    211 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
    212 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    213 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
    214 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
    215 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    216 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
    217 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
    218 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    219 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
    220 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
    221 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    222 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
    223 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
    224 	0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    225 	0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
    226 	0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
    227 	0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    228 	0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
    229 	0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
    230 	0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    231 	0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
    232 	0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
    233 	0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    234 	0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
    235 	0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
    236 	0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    237 	0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
    238 	0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
    239 	0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    240 	0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
    241 	0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
    242 	0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    243 	0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
    244 	0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
    245 	0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    246 	0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
    247 	0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
    248 	0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    249 	0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
    250 	0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
    251 	0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    252 	0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
    253 	0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
    254 	0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    255 	0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
    256 	0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
    257 	0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    258 	0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
    259 	0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
    260 	0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    261 	0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
    262 	0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
    263 	0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x06, 0x31, 0x99,
    264 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
    265 };
    266 
    267 /* RFC 3526, 6. Group 17 - 6144 Bit MODP
    268  * Generator: 2
    269  * Prime: 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 }
    270  */
    271 static const u8 dh_group17_generator[1] = { 0x02 };
    272 static const u8 dh_group17_prime[768] = {
    273 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    274 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
    275 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    276 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
    277 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
    278 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    279 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
    280 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
    281 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    282 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
    283 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
    284 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    285 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
    286 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
    287 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    288 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
    289 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
    290 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    291 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
    292 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
    293 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    294 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
    295 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
    296 	0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    297 	0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
    298 	0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
    299 	0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    300 	0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
    301 	0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
    302 	0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    303 	0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
    304 	0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
    305 	0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    306 	0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
    307 	0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
    308 	0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    309 	0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
    310 	0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
    311 	0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    312 	0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
    313 	0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
    314 	0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    315 	0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
    316 	0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
    317 	0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    318 	0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
    319 	0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
    320 	0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    321 	0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
    322 	0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
    323 	0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    324 	0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
    325 	0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
    326 	0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    327 	0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
    328 	0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
    329 	0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    330 	0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
    331 	0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
    332 	0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    333 	0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
    334 	0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
    335 	0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
    336 	0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
    337 	0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
    338 	0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
    339 	0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
    340 	0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
    341 	0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
    342 	0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
    343 	0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
    344 	0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
    345 	0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
    346 	0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
    347 	0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
    348 	0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
    349 	0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
    350 	0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
    351 	0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
    352 	0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
    353 	0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
    354 	0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
    355 	0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
    356 	0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
    357 	0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
    358 	0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
    359 	0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
    360 	0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
    361 	0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
    362 	0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
    363 	0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
    364 	0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
    365 	0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
    366 	0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
    367 	0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xCC, 0x40, 0x24,
    368 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
    369 };
    370 
    371 /* RFC 3526, 7. Group 18 - 8192 Bit MODP
    372  * Generator: 2
    373  * Prime: 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 }
    374  */
    375 static const u8 dh_group18_generator[1] = { 0x02 };
    376 static const u8 dh_group18_prime[1024] = {
    377 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
    378 	0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68, 0xC2, 0x34,
    379 	0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1,
    380 	0x29, 0x02, 0x4E, 0x08, 0x8A, 0x67, 0xCC, 0x74,
    381 	0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22,
    382 	0x51, 0x4A, 0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD,
    383 	0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
    384 	0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37,
    385 	0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51, 0xC2, 0x45,
    386 	0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6,
    387 	0xF4, 0x4C, 0x42, 0xE9, 0xA6, 0x37, 0xED, 0x6B,
    388 	0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED,
    389 	0xEE, 0x38, 0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5,
    390 	0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
    391 	0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D,
    392 	0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63, 0xBF, 0x05,
    393 	0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A,
    394 	0x69, 0x16, 0x3F, 0xA8, 0xFD, 0x24, 0xCF, 0x5F,
    395 	0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96,
    396 	0x1C, 0x62, 0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB,
    397 	0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
    398 	0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04,
    399 	0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x18, 0x21, 0x7C,
    400 	0x32, 0x90, 0x5E, 0x46, 0x2E, 0x36, 0xCE, 0x3B,
    401 	0xE3, 0x9E, 0x77, 0x2C, 0x18, 0x0E, 0x86, 0x03,
    402 	0x9B, 0x27, 0x83, 0xA2, 0xEC, 0x07, 0xA2, 0x8F,
    403 	0xB5, 0xC5, 0x5D, 0xF0, 0x6F, 0x4C, 0x52, 0xC9,
    404 	0xDE, 0x2B, 0xCB, 0xF6, 0x95, 0x58, 0x17, 0x18,
    405 	0x39, 0x95, 0x49, 0x7C, 0xEA, 0x95, 0x6A, 0xE5,
    406 	0x15, 0xD2, 0x26, 0x18, 0x98, 0xFA, 0x05, 0x10,
    407 	0x15, 0x72, 0x8E, 0x5A, 0x8A, 0xAA, 0xC4, 0x2D,
    408 	0xAD, 0x33, 0x17, 0x0D, 0x04, 0x50, 0x7A, 0x33,
    409 	0xA8, 0x55, 0x21, 0xAB, 0xDF, 0x1C, 0xBA, 0x64,
    410 	0xEC, 0xFB, 0x85, 0x04, 0x58, 0xDB, 0xEF, 0x0A,
    411 	0x8A, 0xEA, 0x71, 0x57, 0x5D, 0x06, 0x0C, 0x7D,
    412 	0xB3, 0x97, 0x0F, 0x85, 0xA6, 0xE1, 0xE4, 0xC7,
    413 	0xAB, 0xF5, 0xAE, 0x8C, 0xDB, 0x09, 0x33, 0xD7,
    414 	0x1E, 0x8C, 0x94, 0xE0, 0x4A, 0x25, 0x61, 0x9D,
    415 	0xCE, 0xE3, 0xD2, 0x26, 0x1A, 0xD2, 0xEE, 0x6B,
    416 	0xF1, 0x2F, 0xFA, 0x06, 0xD9, 0x8A, 0x08, 0x64,
    417 	0xD8, 0x76, 0x02, 0x73, 0x3E, 0xC8, 0x6A, 0x64,
    418 	0x52, 0x1F, 0x2B, 0x18, 0x17, 0x7B, 0x20, 0x0C,
    419 	0xBB, 0xE1, 0x17, 0x57, 0x7A, 0x61, 0x5D, 0x6C,
    420 	0x77, 0x09, 0x88, 0xC0, 0xBA, 0xD9, 0x46, 0xE2,
    421 	0x08, 0xE2, 0x4F, 0xA0, 0x74, 0xE5, 0xAB, 0x31,
    422 	0x43, 0xDB, 0x5B, 0xFC, 0xE0, 0xFD, 0x10, 0x8E,
    423 	0x4B, 0x82, 0xD1, 0x20, 0xA9, 0x21, 0x08, 0x01,
    424 	0x1A, 0x72, 0x3C, 0x12, 0xA7, 0x87, 0xE6, 0xD7,
    425 	0x88, 0x71, 0x9A, 0x10, 0xBD, 0xBA, 0x5B, 0x26,
    426 	0x99, 0xC3, 0x27, 0x18, 0x6A, 0xF4, 0xE2, 0x3C,
    427 	0x1A, 0x94, 0x68, 0x34, 0xB6, 0x15, 0x0B, 0xDA,
    428 	0x25, 0x83, 0xE9, 0xCA, 0x2A, 0xD4, 0x4C, 0xE8,
    429 	0xDB, 0xBB, 0xC2, 0xDB, 0x04, 0xDE, 0x8E, 0xF9,
    430 	0x2E, 0x8E, 0xFC, 0x14, 0x1F, 0xBE, 0xCA, 0xA6,
    431 	0x28, 0x7C, 0x59, 0x47, 0x4E, 0x6B, 0xC0, 0x5D,
    432 	0x99, 0xB2, 0x96, 0x4F, 0xA0, 0x90, 0xC3, 0xA2,
    433 	0x23, 0x3B, 0xA1, 0x86, 0x51, 0x5B, 0xE7, 0xED,
    434 	0x1F, 0x61, 0x29, 0x70, 0xCE, 0xE2, 0xD7, 0xAF,
    435 	0xB8, 0x1B, 0xDD, 0x76, 0x21, 0x70, 0x48, 0x1C,
    436 	0xD0, 0x06, 0x91, 0x27, 0xD5, 0xB0, 0x5A, 0xA9,
    437 	0x93, 0xB4, 0xEA, 0x98, 0x8D, 0x8F, 0xDD, 0xC1,
    438 	0x86, 0xFF, 0xB7, 0xDC, 0x90, 0xA6, 0xC0, 0x8F,
    439 	0x4D, 0xF4, 0x35, 0xC9, 0x34, 0x02, 0x84, 0x92,
    440 	0x36, 0xC3, 0xFA, 0xB4, 0xD2, 0x7C, 0x70, 0x26,
    441 	0xC1, 0xD4, 0xDC, 0xB2, 0x60, 0x26, 0x46, 0xDE,
    442 	0xC9, 0x75, 0x1E, 0x76, 0x3D, 0xBA, 0x37, 0xBD,
    443 	0xF8, 0xFF, 0x94, 0x06, 0xAD, 0x9E, 0x53, 0x0E,
    444 	0xE5, 0xDB, 0x38, 0x2F, 0x41, 0x30, 0x01, 0xAE,
    445 	0xB0, 0x6A, 0x53, 0xED, 0x90, 0x27, 0xD8, 0x31,
    446 	0x17, 0x97, 0x27, 0xB0, 0x86, 0x5A, 0x89, 0x18,
    447 	0xDA, 0x3E, 0xDB, 0xEB, 0xCF, 0x9B, 0x14, 0xED,
    448 	0x44, 0xCE, 0x6C, 0xBA, 0xCE, 0xD4, 0xBB, 0x1B,
    449 	0xDB, 0x7F, 0x14, 0x47, 0xE6, 0xCC, 0x25, 0x4B,
    450 	0x33, 0x20, 0x51, 0x51, 0x2B, 0xD7, 0xAF, 0x42,
    451 	0x6F, 0xB8, 0xF4, 0x01, 0x37, 0x8C, 0xD2, 0xBF,
    452 	0x59, 0x83, 0xCA, 0x01, 0xC6, 0x4B, 0x92, 0xEC,
    453 	0xF0, 0x32, 0xEA, 0x15, 0xD1, 0x72, 0x1D, 0x03,
    454 	0xF4, 0x82, 0xD7, 0xCE, 0x6E, 0x74, 0xFE, 0xF6,
    455 	0xD5, 0x5E, 0x70, 0x2F, 0x46, 0x98, 0x0C, 0x82,
    456 	0xB5, 0xA8, 0x40, 0x31, 0x90, 0x0B, 0x1C, 0x9E,
    457 	0x59, 0xE7, 0xC9, 0x7F, 0xBE, 0xC7, 0xE8, 0xF3,
    458 	0x23, 0xA9, 0x7A, 0x7E, 0x36, 0xCC, 0x88, 0xBE,
    459 	0x0F, 0x1D, 0x45, 0xB7, 0xFF, 0x58, 0x5A, 0xC5,
    460 	0x4B, 0xD4, 0x07, 0xB2, 0x2B, 0x41, 0x54, 0xAA,
    461 	0xCC, 0x8F, 0x6D, 0x7E, 0xBF, 0x48, 0xE1, 0xD8,
    462 	0x14, 0xCC, 0x5E, 0xD2, 0x0F, 0x80, 0x37, 0xE0,
    463 	0xA7, 0x97, 0x15, 0xEE, 0xF2, 0x9B, 0xE3, 0x28,
    464 	0x06, 0xA1, 0xD5, 0x8B, 0xB7, 0xC5, 0xDA, 0x76,
    465 	0xF5, 0x50, 0xAA, 0x3D, 0x8A, 0x1F, 0xBF, 0xF0,
    466 	0xEB, 0x19, 0xCC, 0xB1, 0xA3, 0x13, 0xD5, 0x5C,
    467 	0xDA, 0x56, 0xC9, 0xEC, 0x2E, 0xF2, 0x96, 0x32,
    468 	0x38, 0x7F, 0xE8, 0xD7, 0x6E, 0x3C, 0x04, 0x68,
    469 	0x04, 0x3E, 0x8F, 0x66, 0x3F, 0x48, 0x60, 0xEE,
    470 	0x12, 0xBF, 0x2D, 0x5B, 0x0B, 0x74, 0x74, 0xD6,
    471 	0xE6, 0x94, 0xF9, 0x1E, 0x6D, 0xBE, 0x11, 0x59,
    472 	0x74, 0xA3, 0x92, 0x6F, 0x12, 0xFE, 0xE5, 0xE4,
    473 	0x38, 0x77, 0x7C, 0xB6, 0xA9, 0x32, 0xDF, 0x8C,
    474 	0xD8, 0xBE, 0xC4, 0xD0, 0x73, 0xB9, 0x31, 0xBA,
    475 	0x3B, 0xC8, 0x32, 0xB6, 0x8D, 0x9D, 0xD3, 0x00,
    476 	0x74, 0x1F, 0xA7, 0xBF, 0x8A, 0xFC, 0x47, 0xED,
    477 	0x25, 0x76, 0xF6, 0x93, 0x6B, 0xA4, 0x24, 0x66,
    478 	0x3A, 0xAB, 0x63, 0x9C, 0x5A, 0xE4, 0xF5, 0x68,
    479 	0x34, 0x23, 0xB4, 0x74, 0x2B, 0xF1, 0xC9, 0x78,
    480 	0x23, 0x8F, 0x16, 0xCB, 0xE3, 0x9D, 0x65, 0x2D,
    481 	0xE3, 0xFD, 0xB8, 0xBE, 0xFC, 0x84, 0x8A, 0xD9,
    482 	0x22, 0x22, 0x2E, 0x04, 0xA4, 0x03, 0x7C, 0x07,
    483 	0x13, 0xEB, 0x57, 0xA8, 0x1A, 0x23, 0xF0, 0xC7,
    484 	0x34, 0x73, 0xFC, 0x64, 0x6C, 0xEA, 0x30, 0x6B,
    485 	0x4B, 0xCB, 0xC8, 0x86, 0x2F, 0x83, 0x85, 0xDD,
    486 	0xFA, 0x9D, 0x4B, 0x7F, 0xA2, 0xC0, 0x87, 0xE8,
    487 	0x79, 0x68, 0x33, 0x03, 0xED, 0x5B, 0xDD, 0x3A,
    488 	0x06, 0x2B, 0x3C, 0xF5, 0xB3, 0xA2, 0x78, 0xA6,
    489 	0x6D, 0x2A, 0x13, 0xF8, 0x3F, 0x44, 0xF8, 0x2D,
    490 	0xDF, 0x31, 0x0E, 0xE0, 0x74, 0xAB, 0x6A, 0x36,
    491 	0x45, 0x97, 0xE8, 0x99, 0xA0, 0x25, 0x5D, 0xC1,
    492 	0x64, 0xF3, 0x1C, 0xC5, 0x08, 0x46, 0x85, 0x1D,
    493 	0xF9, 0xAB, 0x48, 0x19, 0x5D, 0xED, 0x7E, 0xA1,
    494 	0xB1, 0xD5, 0x10, 0xBD, 0x7E, 0xE7, 0x4D, 0x73,
    495 	0xFA, 0xF3, 0x6B, 0xC3, 0x1E, 0xCF, 0xA2, 0x68,
    496 	0x35, 0x90, 0x46, 0xF4, 0xEB, 0x87, 0x9F, 0x92,
    497 	0x40, 0x09, 0x43, 0x8B, 0x48, 0x1C, 0x6C, 0xD7,
    498 	0x88, 0x9A, 0x00, 0x2E, 0xD5, 0xEE, 0x38, 0x2B,
    499 	0xC9, 0x19, 0x0D, 0xA6, 0xFC, 0x02, 0x6E, 0x47,
    500 	0x95, 0x58, 0xE4, 0x47, 0x56, 0x77, 0xE9, 0xAA,
    501 	0x9E, 0x30, 0x50, 0xE2, 0x76, 0x56, 0x94, 0xDF,
    502 	0xC8, 0x1F, 0x56, 0xE8, 0x80, 0xB9, 0x6E, 0x71,
    503 	0x60, 0xC9, 0x80, 0xDD, 0x98, 0xED, 0xD3, 0xDF,
    504 	0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
    505 };
    506 
    507 #endif /* ALL_DH_GROUPS */
    508 
    509 
    510 #define DH_GROUP(id) \
    511 { id, dh_group ## id ## _generator, sizeof(dh_group ## id ## _generator), \
    512 dh_group ## id ## _prime, sizeof(dh_group ## id ## _prime) }
    513 
    514 
    515 static struct dh_group dh_groups[] = {
    516 	DH_GROUP(5),
    517 #ifdef ALL_DH_GROUPS
    518 	DH_GROUP(1),
    519 	DH_GROUP(2),
    520 	DH_GROUP(14),
    521 	DH_GROUP(15),
    522 	DH_GROUP(16),
    523 	DH_GROUP(17),
    524 	DH_GROUP(18)
    525 #endif /* ALL_DH_GROUPS */
    526 };
    527 
    528 #define NUM_DH_GROUPS (sizeof(dh_groups) / sizeof(dh_groups[0]))
    529 
    530 
    531 const struct dh_group * dh_groups_get(int id)
    532 {
    533 	size_t i;
    534 
    535 	for (i = 0; i < NUM_DH_GROUPS; i++) {
    536 		if (dh_groups[i].id == id)
    537 			return &dh_groups[i];
    538 	}
    539 	return NULL;
    540 }
    541 
    542 
    543 /**
    544  * dh_init - Initialize Diffie-Hellman handshake
    545  * @dh: Selected Diffie-Hellman group
    546  * @priv: Pointer for returning Diffie-Hellman private key
    547  * Returns: Diffie-Hellman public value
    548  */
    549 struct wpabuf * dh_init(const struct dh_group *dh, struct wpabuf **priv)
    550 {
    551 	struct wpabuf *pv;
    552 	size_t pv_len;
    553 
    554 	if (dh == NULL)
    555 		return NULL;
    556 
    557 	wpabuf_free(*priv);
    558 	*priv = wpabuf_alloc(dh->prime_len);
    559 	if (*priv == NULL)
    560 		return NULL;
    561 
    562 	if (random_get_bytes(wpabuf_put(*priv, dh->prime_len), dh->prime_len))
    563 	{
    564 		wpabuf_free(*priv);
    565 		*priv = NULL;
    566 		return NULL;
    567 	}
    568 
    569 	if (os_memcmp(wpabuf_head(*priv), dh->prime, dh->prime_len) > 0) {
    570 		/* Make sure private value is smaller than prime */
    571 		*(wpabuf_mhead_u8(*priv)) = 0;
    572 	}
    573 	wpa_hexdump_buf_key(MSG_DEBUG, "DH: private value", *priv);
    574 
    575 	pv_len = dh->prime_len;
    576 	pv = wpabuf_alloc(pv_len);
    577 	if (pv == NULL)
    578 		return NULL;
    579 	if (crypto_mod_exp(dh->generator, dh->generator_len,
    580 			   wpabuf_head(*priv), wpabuf_len(*priv),
    581 			   dh->prime, dh->prime_len, wpabuf_mhead(pv),
    582 			   &pv_len) < 0) {
    583 		wpabuf_free(pv);
    584 		wpa_printf(MSG_INFO, "DH: crypto_mod_exp failed");
    585 		return NULL;
    586 	}
    587 	wpabuf_put(pv, pv_len);
    588 	wpa_hexdump_buf(MSG_DEBUG, "DH: public value", pv);
    589 
    590 	return pv;
    591 }
    592 
    593 
    594 /**
    595  * dh_derive_shared - Derive shared Diffie-Hellman key
    596  * @peer_public: Diffie-Hellman public value from peer
    597  * @own_private: Diffie-Hellman private key from dh_init()
    598  * @dh: Selected Diffie-Hellman group
    599  * Returns: Diffie-Hellman shared key
    600  */
    601 struct wpabuf * dh_derive_shared(const struct wpabuf *peer_public,
    602 				 const struct wpabuf *own_private,
    603 				 const struct dh_group *dh)
    604 {
    605 	struct wpabuf *shared;
    606 	size_t shared_len;
    607 
    608 	if (dh == NULL || peer_public == NULL || own_private == NULL)
    609 		return NULL;
    610 
    611 	shared_len = dh->prime_len;
    612 	shared = wpabuf_alloc(shared_len);
    613 	if (shared == NULL)
    614 		return NULL;
    615 	if (crypto_mod_exp(wpabuf_head(peer_public), wpabuf_len(peer_public),
    616 			   wpabuf_head(own_private), wpabuf_len(own_private),
    617 			   dh->prime, dh->prime_len,
    618 			   wpabuf_mhead(shared), &shared_len) < 0) {
    619 		wpabuf_free(shared);
    620 		wpa_printf(MSG_INFO, "DH: crypto_mod_exp failed");
    621 		return NULL;
    622 	}
    623 	wpabuf_put(shared, shared_len);
    624 	wpa_hexdump_buf_key(MSG_DEBUG, "DH: shared key", shared);
    625 
    626 	return shared;
    627 }
    628