1 /*  librtmp - Diffie-Hellmann Key Exchange
2  *  Copyright (C) 2009 Andrej Stepanchuk
3  *
4  *  This file is part of librtmp.
5  *
6  *  librtmp is free software; you can redistribute it and/or modify
7  *  it under the terms of the GNU Lesser General Public License as
8  *  published by the Free Software Foundation; either version 2.1,
9  *  or (at your option) any later version.
10  *
11  *  librtmp is distributed in the hope that it will be useful,
12  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
13  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14  *  GNU General Public License for more details.
15  *
16  *  You should have received a copy of the GNU Lesser General Public License
17  *  along with librtmp see the file COPYING.  If not, write to
18  *  the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
19  *  Boston, MA  02110-1301, USA.
20  *  http://www.gnu.org/copyleft/lgpl.html
21  */
22 
23 /* from RFC 3526, see http://www.ietf.org/rfc/rfc3526.txt */
24 
25 /* 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 } */
26 #define P768 \
27 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
28 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
29 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
30 	"E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF"
31 
32 /* 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 } */
33 #define P1024 \
34 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
35 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
36 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
37 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
38 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381" \
39 	"FFFFFFFFFFFFFFFF"
40 
41 /* Group morder largest prime factor: */
42 #define Q1024 \
43 	"7FFFFFFFFFFFFFFFE487ED5110B4611A62633145C06E0E68" \
44         "948127044533E63A0105DF531D89CD9128A5043CC71A026E" \
45         "F7CA8CD9E69D218D98158536F92F8A1BA7F09AB6B6A8E122" \
46         "F242DABB312F3F637A262174D31BF6B585FFAE5B7A035BF6" \
47         "F71C35FDAD44CFD2D74F9208BE258FF324943328F67329C0" \
48         "FFFFFFFFFFFFFFFF"
49 
50 /* 2^1536 - 2^1472 - 1 + 2^64 * { [2^1406 pi] + 741804 } */
51 #define P1536 \
52 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
53         "29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
54         "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
55         "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
56         "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
57         "C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
58         "83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
59         "670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF"
60 
61 /* 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 } */
62 #define P2048 \
63 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
64 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
65 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
66 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
67 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
68 	"C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
69 	"83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
70 	"670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B" \
71 	"E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9" \
72 	"DE2BCBF6955817183995497CEA956AE515D2261898FA0510" \
73 	"15728E5A8AACAA68FFFFFFFFFFFFFFFF"
74 
75 /* 2^3072 - 2^3008 - 1 + 2^64 * { [2^2942 pi] + 1690314 } */
76 #define P3072 \
77 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
78 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
79 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
80 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
81 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
82 	"C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
83 	"83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
84 	"670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B" \
85 	"E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9" \
86 	"DE2BCBF6955817183995497CEA956AE515D2261898FA0510" \
87 	"15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64" \
88 	"ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7" \
89 	"ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B" \
90 	"F12FFA06D98A0864D87602733EC86A64521F2B18177B200C" \
91 	"BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31" \
92 	"43DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF"
93 
94 /* 2^4096 - 2^4032 - 1 + 2^64 * { [2^3966 pi] + 240904 } */
95 #define P4096 \
96 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
97 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
98 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
99 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
100 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
101 	"C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
102 	"83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
103 	"670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B" \
104 	"E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9" \
105 	"DE2BCBF6955817183995497CEA956AE515D2261898FA0510" \
106 	"15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64" \
107 	"ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7" \
108 	"ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B" \
109 	"F12FFA06D98A0864D87602733EC86A64521F2B18177B200C" \
110 	"BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31" \
111 	"43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7" \
112 	"88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA" \
113 	"2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6" \
114 	"287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED" \
115 	"1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9" \
116 	"93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199" \
117 	"FFFFFFFFFFFFFFFF"
118 
119 /* 2^6144 - 2^6080 - 1 + 2^64 * { [2^6014 pi] + 929484 } */
120 #define P6144 \
121 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
122 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
123 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
124 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
125 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
126 	"C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
127 	"83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
128 	"670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B" \
129 	"E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9" \
130 	"DE2BCBF6955817183995497CEA956AE515D2261898FA0510" \
131 	"15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64" \
132 	"ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7" \
133 	"ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B" \
134 	"F12FFA06D98A0864D87602733EC86A64521F2B18177B200C" \
135 	"BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31" \
136 	"43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7" \
137 	"88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA" \
138 	"2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6" \
139 	"287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED" \
140 	"1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9" \
141 	"93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492" \
142 	"36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD" \
143 	"F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831" \
144 	"179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B" \
145 	"DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF" \
146 	"5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6" \
147 	"D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3" \
148 	"23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA" \
149 	"CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328" \
150 	"06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C" \
151 	"DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE" \
152 	"12BF2D5B0B7474D6E694F91E6DCC4024FFFFFFFFFFFFFFFF"
153 
154 /* 2^8192 - 2^8128 - 1 + 2^64 * { [2^8062 pi] + 4743158 } */
155 #define P8192 \
156 	"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
157 	"29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
158 	"EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
159 	"E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
160 	"EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3D" \
161 	"C2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F" \
162 	"83655D23DCA3AD961C62F356208552BB9ED529077096966D" \
163 	"670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B" \
164 	"E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9" \
165 	"DE2BCBF6955817183995497CEA956AE515D2261898FA0510" \
166 	"15728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64" \
167 	"ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7" \
168 	"ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6B" \
169 	"F12FFA06D98A0864D87602733EC86A64521F2B18177B200C" \
170 	"BBE117577A615D6C770988C0BAD946E208E24FA074E5AB31" \
171 	"43DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7" \
172 	"88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA" \
173 	"2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6" \
174 	"287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED" \
175 	"1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9" \
176 	"93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934028492" \
177 	"36C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BD" \
178 	"F8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831" \
179 	"179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B" \
180 	"DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF" \
181 	"5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6" \
182 	"D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F3" \
183 	"23A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA" \
184 	"CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE328" \
185 	"06A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55C" \
186 	"DA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE" \
187 	"12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4" \
188 	"38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300" \
189 	"741FA7BF8AFC47ED2576F6936BA424663AAB639C5AE4F568" \
190 	"3423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD9" \
191 	"22222E04A4037C0713EB57A81A23F0C73473FC646CEA306B" \
192 	"4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A" \
193 	"062B3CF5B3A278A66D2A13F83F44F82DDF310EE074AB6A36" \
194 	"4597E899A0255DC164F31CC50846851DF9AB48195DED7EA1" \
195 	"B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92" \
196 	"4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E47" \
197 	"9558E4475677E9AA9E3050E2765694DFC81F56E880B96E71" \
198 	"60C980DD98EDD3DFFFFFFFFFFFFFFFFF"
199 
200