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