Commit | Line | Data |
---|---|---|
432c4e18 | 1 | # Standard ellipic curves |
2 | ||
3 | #----- Curves from SEC2 ----------------------------------------------------- | |
4 | ||
5 | curve secp112r1 prime | |
6 | p 0xdb7c2abf62e35e668076bead208b | |
7 | a 0xdb7c2abf62e35e668076bead2088 | |
8 | b 0x659ef8ba043916eede8911702b22 | |
9 | r 0xdb7c2abf62e35e7628dfac6561c5 | |
10 | h 1 | |
11 | gx 0x09487239995a5ee76b55f9c2f098 | |
12 | gy 0xa89ce5af8724c0a23e0e0ff77500 | |
432c4e18 | 13 | curve secp112r2 prime |
14 | p 0xdb7c2abf62e35e668076bead208b | |
15 | a 0x6127c24c05f38a0aaaf65c0ef02c | |
16 | b 0x51def1815db5ed74fcc34c85d709 | |
17 | r 0x36df0aafd8b8d7597ca10520d04b | |
18 | h 4 | |
19 | gx 0x4ba30ab5e892b4e1649dd0928643 | |
20 | gy 0xadcd46f5882e3747def36e956e97 | |
21 | ||
22 | curve secp128r1 niceprime | |
23 | p 0xfffffffdffffffffffffffffffffffff | |
24 | a 0xfffffffdfffffffffffffffffffffffc | |
25 | b 0xe87579c11079f43dd824993c2cee5ed3 | |
26 | r 0xfffffffe0000000075a30d1b9038a115 | |
27 | h 1 | |
28 | gx 0x161ff7528b899b2d0c28607ca52c5b86 | |
29 | gy 0xcf5ac8395bafeb13c02da292dded7a83 | |
432c4e18 | 30 | curve secp128r2 niceprime |
31 | p 0xfffffffdffffffffffffffffffffffff | |
32 | a 0xd6031998d1b3bbfebf59cc9bbff9aee1 | |
33 | b 0x5eeefca380d02919dc2c6558bb6d8a5d | |
34 | r 0x3fffffff7fffffffbe0024720613b5a3 | |
35 | h 4 | |
36 | gx 0x7b6aa5d85e572983e6fb32a7cdebc140 | |
37 | gy 0x27b6916a894d3aee7106fe805fc34b44 | |
38 | ||
39 | curve secp160k1 niceprime | |
40 | p 0xfffffffffffffffffffffffffffffffeffffac73 | |
41 | a 0 | |
42 | b 7 | |
43 | r 0x0100000000000000000001b8fa16dfab9aca16b6b3 | |
44 | h 1 | |
45 | gx 0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb | |
46 | gy 0x938cf935318fdced6bc28286531733c3f03c4fee | |
432c4e18 | 47 | curve secp160r1 niceprime |
48 | p 0xffffffffffffffffffffffffffffffff7fffffff | |
49 | a 0xffffffffffffffffffffffffffffffff7ffffffc | |
50 | b 0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45 | |
51 | r 0x0100000000000000000001f4c8f927aed3ca752257 | |
52 | h 1 | |
53 | gx 0x4a96b5688ef573284664698968c38bb913cbfc82 | |
54 | gy 0x23a628553168947d59dcc912042351377ac5fb32 | |
432c4e18 | 55 | curve secp160r2 niceprime |
56 | p 0xfffffffffffffffffffffffffffffffeffffac73 | |
57 | a 0xfffffffffffffffffffffffffffffffeffffac70 | |
58 | b 0xb4e134d3fb59eb8bab57274904664d5af50388ba | |
59 | r 0x0100000000000000000000351ee786a818f3a1a16b | |
60 | h 1 | |
61 | gx 0x52dcb034293a117e1f4ff11b30f7199d3144ce6d | |
62 | gy 0xfeaffef2e331f296e071fa0df9982cfea7d43f2e | |
63 | ||
64 | curve secp192k1 niceprime | |
65 | p 0xfffffffffffffffffffffffffffffffffffffffeffffee37 | |
66 | a 0 | |
67 | b 3 | |
68 | r 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d | |
69 | h 1 | |
70 | gx 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d | |
71 | gy 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d | |
432c4e18 | 72 | curve secp192r1 niceprime |
73 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff | |
74 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc | |
75 | b 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 | |
76 | r 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 | |
77 | h 1 | |
78 | gx 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 | |
79 | gy 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811 | |
80 | ||
81 | curve secp224k1 niceprime | |
82 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d | |
83 | a 0 | |
84 | b 5 | |
85 | r 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 | |
86 | h 1 | |
87 | gx 0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c | |
88 | gy 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5 | |
432c4e18 | 89 | curve secp224r1 niceprime |
90 | p 0xffffffffffffffffffffffffffffffff000000000000000000000001 | |
91 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe | |
92 | b 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 | |
93 | r 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d | |
94 | h 1 | |
95 | gx 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 | |
96 | gy 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34 | |
97 | ||
98 | curve secp256k1 niceprime | |
99 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f | |
100 | a 0 | |
101 | b 7 | |
102 | r 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 | |
103 | h 1 | |
104 | gx 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 | |
105 | gy 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 | |
432c4e18 | 106 | curve secp256r1 niceprime |
107 | p 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff | |
108 | a 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc | |
109 | b 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b | |
110 | r 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 | |
111 | h 1 | |
112 | gx 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 | |
113 | gy 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 | |
114 | ||
115 | curve secp384r1 niceprime | |
116 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff | |
117 | a 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc | |
118 | b 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef | |
119 | r 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 | |
120 | h 1 | |
121 | gx 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 | |
122 | gy 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f | |
123 | ||
124 | curve secp521r1 niceprime | |
125 | p 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
126 | a 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc | |
127 | b 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 | |
128 | r 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 | |
129 | h 1 | |
130 | gx 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 | |
131 | gy 0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650 | |
132 | ||
133 | curve sect113r1 binpoly | |
134 | p 0x20000000000000000000000000201 | |
135 | a 0x003088250ca6e7c7fe649ce85820f7 | |
136 | b 0x00e8bee4d3e2260744188be0e9c723 | |
137 | r 0x0100000000000000d9ccec8a39e56f | |
138 | h 2 | |
139 | gx 0x009d73616f35f4ab1407d73562c10f | |
140 | gy 0x00a52830277958ee84d1315ed31886 | |
432c4e18 | 141 | curve sect113r2 binpoly |
142 | p 0x20000000000000000000000000201 | |
143 | a 0x00689918dbec7e5a0dd6dfc0aa55c7 | |
144 | b 0x0095e9a9ec9b297bd4bf36e059184f | |
145 | r 0x010000000000000108789b2496af93 | |
146 | h 2 | |
147 | gx 0x01a57a6a7b26ca5ef52fcdb8164797 | |
148 | gy 0x00b3adc94ed1fe674c06e695baba1d | |
149 | ||
150 | curve sect131r1 binpoly | |
151 | p 0x80000000000000000000000000000010d | |
152 | a 0x07a11b09a76b562144418ff3ff8c2570b8 | |
153 | b 0x0217c05610884b63b9c6c7291678f9d341 | |
154 | r 0x0400000000000000023123953a9464b54d | |
155 | h 2 | |
156 | gx 0x0081baf91fdf9833c40f9c181343638399 | |
157 | gy 0x078c6e7ea38c001f73c8134b1b4ef9e150 | |
432c4e18 | 158 | curve sect131r2 binpoly |
159 | p 0x80000000000000000000000000000010d | |
160 | a 0x03e5a88919d7cafcbf415f07c2176573b2 | |
161 | b 0x04b8266a46c55657ac734ce38f018f2192 | |
162 | r 0x0400000000000000016954a233049ba98f | |
163 | h 2 | |
164 | gx 0x0356dcd8f2f95031ad652d23951bb366a8 | |
165 | gy 0x0648f06d867940a5366d9e265de9eb240f | |
166 | ||
167 | curve sect163k1 binpoly | |
168 | p 0x800000000000000000000000000000000000000c9 | |
169 | a 1 | |
170 | b 1 | |
171 | r 0x04000000000000000000020108a2e0cc0d99f8a5ef | |
172 | h 2 | |
173 | gx 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 | |
174 | gy 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9 | |
432c4e18 | 175 | curve sect163r1 binpoly |
176 | p 0x800000000000000000000000000000000000000c9 | |
177 | a 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 | |
178 | b 0x0713612dcddcb40aab946bda29ca91f73af958afd9 | |
179 | r 0x03ffffffffffffffffffff48aab689c29ca710279b | |
180 | h 2 | |
181 | gx 0x0369979697ab43897789566789567f787a7876a654 | |
182 | gy 0x00435edb42efafb2989d51fefce3c80988f41ff883 | |
432c4e18 | 183 | curve sect163r2 binpoly |
184 | p 0x800000000000000000000000000000000000000c9 | |
185 | a 1 | |
186 | b 0x020a601907b8c953ca1481eb10512f78744a3205fd | |
187 | r 0x040000000000000000000292fe77e70c12a4234c33 | |
188 | h 2 | |
189 | gx 0x03f0eba16286a2d57ea0991168d4994637e8343e36 | |
190 | gy 0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1 | |
191 | ||
192 | curve sect193r1 binpoly | |
193 | p 0x2000000000000000000000000000000000000000000008001 | |
194 | a 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 | |
195 | b 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 | |
196 | r 0x01000000000000000000000000c7f34a778f443acc920eba49 | |
197 | h 2 | |
198 | gx 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 | |
199 | gy 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05 | |
432c4e18 | 200 | curve sect193r2 binpoly |
201 | p 0x2000000000000000000000000000000000000000000008001 | |
202 | a 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b | |
203 | b 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae | |
204 | r 0x010000000000000000000000015aab561b005413ccd4ee99d5 | |
205 | h 2 | |
206 | gx 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f | |
207 | gy 0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c | |
208 | ||
209 | curve sect233k1 binpoly | |
210 | p 0x20000000000000000000000000000000000000004000000000000000001 | |
211 | a 0 | |
212 | b 1 | |
213 | r 0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf | |
214 | h 4 | |
215 | gx 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 | |
216 | gy 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3 | |
432c4e18 | 217 | curve sect233r1 binpoly |
218 | p 0x20000000000000000000000000000000000000004000000000000000001 | |
219 | a 1 | |
220 | b 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad | |
221 | r 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 | |
222 | h 2 | |
223 | gx 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b | |
224 | gy 0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052 | |
225 | ||
226 | curve sect239k1 binpoly | |
227 | p 0x800000000000000000004000000000000000000000000000000000000001 | |
228 | a 0 | |
229 | b 1 | |
230 | r 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 | |
231 | h 4 | |
232 | gx 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc | |
233 | gy 0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca | |
234 | ||
235 | curve sect283k1 binpoly | |
236 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 | |
237 | a 0 | |
238 | b 1 | |
239 | r 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 | |
240 | h 4 | |
241 | gx 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 | |
242 | gy 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259 | |
432c4e18 | 243 | curve sect283r1 binpoly |
244 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 | |
245 | a 1 | |
246 | b 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 | |
247 | r 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 | |
248 | h 2 | |
249 | gx 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 | |
250 | gy 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4 | |
251 | ||
252 | curve sect409k1 binpoly | |
253 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 | |
254 | a 0 | |
255 | b 1 | |
256 | r 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf | |
257 | h 4 | |
258 | gx 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 | |
259 | gy 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b | |
432c4e18 | 260 | curve sect409r1 binpoly |
261 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 | |
262 | a 1 | |
263 | b 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f | |
264 | r 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 | |
265 | h 2 | |
266 | gx 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 | |
267 | gy 0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706 | |
268 | ||
269 | curve sect571k1 binpoly | |
270 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 | |
271 | a 0 | |
272 | b 1 | |
273 | r 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 | |
274 | h 4 | |
275 | gx 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 | |
276 | gy 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3 | |
432c4e18 | 277 | curve sect571r1 binpoly |
278 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 | |
279 | a 1 | |
280 | b 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a | |
281 | r 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 | |
282 | h 2 | |
283 | gx 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 | |
284 | gy 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b | |
285 | ||
38b90111 | 286 | #----- Curves from ANSI X9.62 ----------------------------------------------- |
fb8db84d | 287 | # |
288 | # The conversion factors for the normal basis representations were generated | |
289 | # because none were given in the document. | |
38b90111 | 290 | |
953ec7bd | 291 | curve ansi-c2pnb163v1 binpoly |
38b90111 | 292 | p 0x080000000000000000000000000000000000000107 |
293 | a 0x072546b5435234a422e0789675f432c89435de5242 | |
294 | b 0x00c9517d06d5240d3cff38c74b20b6cd4d6f9dd4d9 | |
295 | r 0x0400000000000000000001e60fc8821cc74daeafc1 | |
296 | h 2 | |
297 | gx 0x07af69989546103d79329fcc3d74880f33bbe803cb | |
298 | gy 0x01ec23211b5966adea1d3f87f7ea5848aef0b7ca9f | |
953ec7bd | 299 | curve ansi-c2pnb163v2 binpoly |
38b90111 | 300 | p 0x080000000000000000000000000000000000000107 |
301 | a 0x0108b39e77c4b108bed981ed0e890e117c511cf072 | |
302 | b 0x0667aceb38af4e488c407433ffae4f1c811638df20 | |
303 | r 0x03fffffffffffffffffffdf64de1151adbb78f10a7 | |
304 | h 2 | |
305 | gx 0x0024266e4eb5106d0a964d92c4860e2671db9b6cc5 | |
306 | gy 0x079f684ddf6684c5cd258b3890021b2386dfd19fc5 | |
953ec7bd | 307 | curve ansi-c2pnb163v3 binpoly |
38b90111 | 308 | p 0x080000000000000000000000000000000000000107 |
309 | a 0x07a526c63d3e25a256a007699f5447e32ae456b50e | |
310 | b 0x03f7061798eb99e238fd6f1bf95b48feeb4854252b | |
311 | r 0x03fffffffffffffffffffe1aee140f110aff961309 | |
312 | h 2 | |
313 | gx 0x02f9f87b7c574d0bdecf8a22e6524775f98cdebdcb | |
314 | gy 0x05b935590c155e17ea48eb3ff3718b893df59a05d0 | |
38b90111 | 315 | |
953ec7bd | 316 | curve ansi-c2tnb191v1 binpoly |
38b90111 | 317 | p 0x800000000000000000000000000000000000000000000201 |
318 | a 0x2866537b676752636a68f56554e12640276b649ef7526267 | |
319 | b 0x2e45ef571f00786f67b0081b9495a3d95462f5de0aa185ec | |
320 | r 0x40000000000000000000000004a20e90c39067c893bbb9a5 | |
321 | h 2 | |
322 | gx 0x36b3daf8a23206f9c4f299d7b21a9c369137f2c84ae1aa0d | |
323 | gy 0x765be73433b3f95e332932e70ea245ca2418ea0ef98018fb | |
953ec7bd | 324 | curve ansi-c2tnb191v2 binpoly |
38b90111 | 325 | p 0x800000000000000000000000000000000000000000000201 |
326 | a 0x401028774d7777c7b7666d1366ea432071274f89ff01e718 | |
327 | b 0x0620048d28bcbd03b6249c99182b7c8cd19700c362c46a01 | |
328 | r 0x20000000000000000000000050508cb89f652824e06b8173 | |
329 | h 4 | |
330 | gx 0x3809b2b7cc1b28cc5a87926aad83fd28789e81e2c9e3bf10 | |
331 | gy 0x17434386626d14f3dbf01760d9213a3e1cf37aec437d668a | |
752b8244 MW |
332 | curve ansi-c2tnb191v3 binpoly |
333 | p 0x800000000000000000000000000000000000000000000201 | |
334 | a 0x6c01074756099122221056911c77d77e77a777e7e7e77fcb | |
335 | b 0x71fe1af926cf847989efef8db459f66394d90f32ad3f15e8 | |
336 | r 0x155555555555555555555555610c0b196812bfb6288a3ea3 | |
337 | h 6 | |
338 | gx 0x375d4ce24fde434489de8746e71786015009e66e38a926dd | |
339 | gy 0x545a39176196575d985999366e6ad34ce0a77cd7127b06be | |
389d8222 | 340 | curve ansi-c2onb191v1 binnorm |
341 | p 0x800000000000000000000000000000000000000000000201 | |
342 | beta 0x19c409a7f85383bf0ef72b097a5c7398013a2dba6269292d | |
343 | a 0x65903e04e1e4924253e26a3c9ac28c758bd8184a3fb680e8 | |
344 | b 0x54678621b190cfce282ade219d5b3a065e3f4b3ffdebb29b | |
345 | r 0x4000000000000000000000009cf2d6e3901dac4c32eec65d | |
346 | h 2 | |
45c0fd36 | 347 | gx 0x5a2c69a32e8638e51ccefaad05350a978457cb5fb6df994a |
389d8222 | 348 | gy 0x0f32fe0fa0e902f19b17d363c269f4f5cfe8087618569954 |
752b8244 MW |
349 | curve ansi-c2onb191v2 binnorm |
350 | p 0x800000000000000000000000000000000000000000000201 | |
351 | beta 0x19c409a7f85383bf0ef72b097a5c7398013a2dba6269292d | |
352 | a 0x25f8d06c97c822536d469cd5170cdd7bb9f500bd6db110fb | |
353 | b 0x75ff570e35ca94fb3780c2619d081c17aa59fbd5e591c1c4 | |
354 | r 0x0fffffffffffffffffffffffeeb354b7270b2992b7818627 | |
355 | h 8 | |
356 | gx 0x2a16910e8f6c4b199be24213857abc9c992edfb2471f3c68 | |
b14f3203 | 357 | gy 0x1592dbfebeb81a7c071b744d5e2f9e242ea65b81138a3468 |
38b90111 | 358 | |
953ec7bd | 359 | curve ansi-c2tnb239v1 binpoly |
38b90111 | 360 | p 0x800000000000000000000000000000000000000000000000001000000001 |
361 | a 0x32010857077c5431123a46b808906756f543423e8d27877578125778ac76 | |
362 | b 0x790408f2eedaf392b012edefb3392f30f4327c0ca3f31fc383c422aa8c16 | |
363 | r 0x2000000000000000000000000000000f4d42ffe1492a4993f1cad666e447 | |
364 | h 4 | |
365 | gx 0x57927098fa932e7c0a96d3fd5b706ef7e5f5c156e16b7e7c86038552e91d | |
366 | gy 0x61d8ee5077c33fecf6f1a16b268de469c3c7744ea9a971649fc7a9616305 | |
752b8244 MW |
367 | curve ansi-c2tnb239v2 binpoly |
368 | p 0x800000000000000000000000000000000000000000000000001000000001 | |
369 | a 0x4230017757a767fae42398569b746325d45313af0766266479b75654e65f | |
370 | b 0x5037ea654196cff0cd82b2c14a2fcf2e3ff8775285b545722f03eacdb74b | |
371 | r 0x1555555555555555555555555555553c6f2885259c31e3fcdf154624522d | |
372 | h 6 | |
373 | gx 0x28f9d04e900069c8dc47a08534fe76d2b900b7d7ef31f5709f200c4ca205 | |
374 | gy 0x5667334c45aff3b5a03bad9dd75e2c71a99362567d5453f7fa6e227ec833 | |
375 | curve ansi-c2tnb239v3 binpoly | |
376 | p 0x800000000000000000000000000000000000000000000000001000000001 | |
377 | a 0x01238774666a67766d6676f778e676b66999176666e687666d8766c66a9f | |
378 | b 0x6a941977ba9f6a435199acfc51067ed587f519c5ecb541b8e44111de1d40 | |
379 | r 0x0cccccccccccccccccccccccccccccac4912d2d9df903ef9888b8a0e4cff | |
380 | h 10 | |
381 | gx 0x70f6e9d04d289c4e89913ce3530bfde903977d42b146d539bf1bde4e9c92 | |
382 | gy 0x2e5a0eaf6e5e1305b9004dce5c0ed7fe59a35608f33837c816d80b79f461 | |
389d8222 | 383 | curve ansi-c2onb239v1 binnorm |
384 | p 0x800000000000000000000000000000000000000000000000001000000001 | |
385 | beta 0x3b5ce9846911b248f9347018a7ac8cce3662cee952ba45becd02d4b903ec | |
386 | a 0x182dd45f5d470239b8983fea47b8b292641c57f9bf84baecde8bb3adce30 | |
387 | b 0x147a9c1d4c2ce9be5d34ec02797f76667ebad5a3f93fa2a524bfde91ef28 | |
388 | r 0x200000000000000000000000000000474f7e69f42fe430931d0b455aae8b | |
389 | h 4 | |
390 | gx 0x4912ad657f1d1c6b32edb9942c95e226b06fb012cd40fdea0d72197c8104 | |
391 | gy 0x01f1fbc3d21168fd3f66c441c2b5c6cfdcd9ed3e13646b7a4db9a3b0c286 | |
752b8244 MW |
392 | curve ansi-c2onb239v2 binnorm |
393 | p 0x800000000000000000000000000000000000000000000000001000000001 | |
394 | beta 0x3b5ce9846911b248f9347018a7ac8cce3662cee952ba45becd02d4b903ec | |
395 | a 0x1ecf1b9d28d8017505e17475d3df2982e243ca5cb5e9f94a3f36124a486e | |
396 | b 0x3ee257250d1a2e66cef23aa0f25b12388de8a10ff9554f90afbaa9a08b6d | |
397 | r 0x1555555555555555555555555555558cf77a5d0589d2a9340d963b7ad703 | |
398 | h 6 | |
399 | gx 0x5f949ccb694f26b96d191e8925205a719929e93c37174cb6c7f659a37b85 | |
400 | gy 0x2d788d605ac81069e9964fd6edbae8bbf582a5c409a1078cf487a147ceb2 | |
401 | ## The spec seems bogus: the suggested base point G isn't in the | |
402 | ## subgroup! The point above is h G. | |
403 | ##gx 0x193279fc543e9f5f7119189785b9c60b249be4820baf6c24bdfa2813f8b8 | |
404 | ##gy 0x5da021e5af77604051fc5c38da8293c1eeeaa00f046eeb93b6c8b774bb9b | |
38b90111 | 405 | |
752b8244 MW |
406 | curve ansi-c2tnb359v1 binpoly |
407 | p 0x800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001 | |
408 | a 0x5667676a654b20754f356ea92017d946567c46675556f19556a04616b567d223a5e05656fb549016a96656a557 | |
409 | b 0x2472e2d0197c49363f1fe7f5b6db075d52b6947d135d8ca445805d39bc345626089687742b6329e70680231988 | |
410 | r 0x01af286bca1af286bca1af286bca1af286bca1af286bc9fb8f6b85c556892c20a7eb964fe7719e74f490758d3b | |
411 | h 76 | |
412 | gx 0x3c258ef3047767e7ede0f1fdaa79daee3841366a132e163aced4ed2401df9c6bdcde98e8e707c07a2239b1b097 | |
413 | gy 0x53d7e08529547048121e9c95f3791dd804963948f34fae7bf44ea82365dc7868fe57e4ae2de211305a407104bd | |
38b90111 | 414 | |
752b8244 MW |
415 | curve ansi-c2tnb431v1 binpoly |
416 | p 0x800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001 | |
417 | a 0x1a827ef00dd6fc0e234caf046c6a5d8a85395b236cc4ad2cf32a0cadbdc9ddf620b0eb9906d0957f6c6feacd615468df104de296cd8f | |
418 | b 0x10d9b4a3d9047d8b154359abfb1b7f5485b04ceb868237ddc9deda982a679a5a919b626d4e50a8dd731b107a9962381fb5d807bf2618 | |
419 | r 0x000340340340340340340340340340340340340340340340340340340323c313fab50589703b5ec68d3587fec60d161cc149c1ad4a91 | |
420 | h 10080 | |
421 | gx 0x120fc05d3c67a99de161d2f4092622feca701be4f50f4758714e8a87bbf2a658ef8c21e7c5efe965361f6c2999c0c247b0dbd70ce6b7 | |
422 | gy 0x20d0af8903a96f8d5fa2c255745d3c451b302c9346d9b7e485e7bce41f6b591f3e8f6addcbb0bc4c2f947a7de1a89b625d6a598b3760 | |
38b90111 | 423 | |
752b8244 MW |
424 | # These curves aren't included because their degree isn't prime (so they |
425 | # may be vulnerable to Weil descent) | |
426 | # ansi-c2pnb176w1 is bad: 176 isn't prime | |
427 | # ansi-c2pnb208v1 is bad: 208 isn't prime | |
428 | # ansi-c2pnb272w1 is bad: 272 isn't prime | |
429 | # ansi-c2pnb304w1 is bad: 304 isn't prime | |
430 | # ansi-c2pnb368w1 is bad: 368 isn't prime | |
38b90111 | 431 | |
953ec7bd | 432 | alias ansi-prime192v1 secp192r1 |
433 | curve ansi-prime192v2 niceprime | |
38b90111 | 434 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff |
435 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc | |
436 | b 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953 | |
437 | r 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31 | |
438 | h 1 | |
439 | gx 0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a | |
440 | gy 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15 | |
953ec7bd | 441 | curve ansi-prime192v3 niceprime |
38b90111 | 442 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff |
443 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc | |
444 | b 0x22123dc2395a05caa7423daeccc94760a7d462256bd56916 | |
445 | r 0xffffffffffffffffffffffff7a62d031c83f4294f640ec13 | |
446 | h 1 | |
447 | gx 0x7d29778100c65a1da1783716588dce2b8b4aee8e228f1896 | |
448 | gy 0x38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0 | |
449 | ||
953ec7bd | 450 | curve ansi-prime239v1 niceprime |
38b90111 | 451 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
452 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc | |
453 | b 0x6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a | |
454 | r 0x7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b | |
455 | h 1 | |
456 | gx 0x0ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf | |
457 | gy 0x7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae | |
953ec7bd | 458 | curve ansi-prime239v2 niceprime |
38b90111 | 459 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
460 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc | |
461 | b 0x617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c | |
462 | r 0x7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063 | |
463 | h 1 | |
464 | gx 0x38af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7 | |
465 | gy 0x5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba | |
953ec7bd | 466 | curve ansi-prime239v3 niceprime |
38b90111 | 467 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
468 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc | |
469 | b 0x255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e | |
470 | r 0x7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551 | |
471 | h 1 | |
472 | gx 0x6768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a | |
473 | gy 0x1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3 | |
474 | ||
953ec7bd | 475 | alias ansi-prime256v1 secp256r1 |
476 | ||
477 | #----- Curves from ANSI X9.63 ----------------------------------------------- | |
478 | # | |
479 | # These are just duplicates of the SEC curves. | |
480 | ||
481 | alias ansit163k1 sect163k1 | |
482 | alias ansit163r1 sect163r1 | |
483 | alias ansit163r2 sect163r2 | |
484 | alias ansit193r1 sect193r1 | |
485 | alias ansit193r2 sect193r2 | |
486 | alias ansit233k1 sect233k1 | |
487 | alias ansit233r1 sect233r1 | |
488 | alias ansit239k1 sect239k1 | |
489 | alias ansit283k1 sect283k1 | |
490 | alias ansit283r1 sect283r1 | |
491 | alias ansit409k1 sect409k1 | |
492 | alias ansit409r1 sect409r1 | |
493 | alias ansit571k1 sect571k1 | |
494 | alias ansit571r1 sect571r1 | |
495 | ||
496 | alias ansip160k1 secp160k1 | |
497 | alias ansip160r1 secp160r1 | |
498 | alias ansip160r2 secp160r2 | |
499 | alias ansip192k1 secp192k1 | |
500 | alias ansip192r1 secp192r1 | |
501 | alias ansip224k1 secp224k1 | |
502 | alias ansip224r1 secp224r1 | |
503 | alias ansip256k1 secp256k1 | |
504 | alias ansip256r1 secp256r1 | |
505 | alias ansip384r1 secp384r1 | |
506 | alias ansip521r1 secp521r1 | |
38b90111 | 507 | |
432c4e18 | 508 | #----- Curves from RFC2414 (Oakley) ----------------------------------------- |
509 | # | |
389d8222 | 510 | # The Oakley curves are not good: |
511 | # oakley155 has too large a cofactor | |
512 | # oakley185's field has composite degree | |
513 | # Hence, we include neither here. | |
432c4e18 | 514 | |
515 | #----- NIST curves from FIPS186-2 ------------------------------------------- | |
516 | # | |
fb8db84d | 517 | # These are duplicates of SEC2 curves. However, the normal basis |
518 | # representations aren't in SEC, so we give them here. (Conversion factors | |
519 | # from FIPS186-2. | |
432c4e18 | 520 | |
521 | alias nist-p192 secp192r1 | |
522 | alias nist-p224 secp224r1 | |
523 | alias nist-p256 secp256r1 | |
524 | alias nist-p384 secp384r1 | |
525 | alias nist-p521 secp521r1 | |
526 | ||
527 | alias nist-k163 sect163k1 | |
528 | alias nist-k233 sect233k1 | |
529 | alias nist-k283 sect283k1 | |
530 | alias nist-k409 sect409k1 | |
531 | alias nist-k571 sect571k1 | |
532 | ||
533 | alias nist-b163 sect163r2 | |
534 | alias nist-b233 sect233r1 | |
535 | alias nist-b283 sect283r1 | |
536 | alias nist-b409 sect409r1 | |
537 | alias nist-b571 sect571r1 | |
538 | ||
4edc47b8 | 539 | curve nist-k163n binnorm |
540 | p 0x800000000000000000000000000000000000000c9 | |
541 | beta 0x715169c109c612e390d347c748342bcd3b02a0bef | |
542 | a 0x7ffffffffffffffffffffffffffffffffffffffff | |
543 | b 0x7ffffffffffffffffffffffffffffffffffffffff | |
544 | r 0x04000000000000000000020108a2e0cc0d99f8a5ef | |
545 | h 2 | |
546 | gx 0x05679b353caa46825fea2d3713ba450da0c2a4541 | |
547 | gy 0x235b7c6710050689906bac3d9dec76a835591edb2 | |
4edc47b8 | 548 | curve nist-b163n binnorm |
549 | p 0x800000000000000000000000000000000000000c9 | |
550 | beta 0x715169c109c612e390d347c748342bcd3b02a0bef | |
551 | a 0x7ffffffffffffffffffffffffffffffffffffffff | |
552 | b 0x6645f3cacf1638e139c6cd13ef61734fbc9e3d9fb | |
553 | r 0x040000000000000000000292fe77e70c12a4234c33 | |
554 | h 2 | |
555 | gx 0x0311103c17167564ace77ccb09c681f886ba54ee8 | |
556 | gy 0x333ac13c6447f2e67613bf7009daf98c87bb50c7f | |
557 | ||
558 | curve nist-k233n binnorm | |
559 | p 0x20000000000000000000000000000000000000004000000000000000001 | |
560 | beta 0x1499e398ac5d79e368559b35ca49bb7305da6c0390bcf9e2300253203c9 | |
561 | a 0 | |
562 | b 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
563 | r 0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf | |
564 | h 4 | |
565 | gx 0x0fde76d9dcd26e643ac26f1aa901aa129784b71fc0722b2d05614d650b3 | |
566 | gy 0x0643e317633155c9e0447ba8020a3c43177450ee036d633501434cac978 | |
4edc47b8 | 567 | curve nist-b233n binnorm |
568 | p 0x20000000000000000000000000000000000000004000000000000000001 | |
569 | beta 0x1499e398ac5d79e368559b35ca49bb7305da6c0390bcf9e2300253203c9 | |
570 | a 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
571 | b 0x1a003e0962d4f9a8e407c904a9538163adb825212600c7752ad52233279 | |
572 | r 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 | |
573 | h 2 | |
574 | gx 0x18b863524b3cdfefb94f2784e0b116faac54404bc9162a363bab84a14c5 | |
45c0fd36 | 575 | gy 0x04925df77bd8b8ff1a5ff519417822bfedf2bbd752644292c98c7af6e02 |
4edc47b8 | 576 | |
577 | curve nist-k283n binnorm | |
578 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 | |
579 | beta 0x31e0ed791c3282dc5624a720818049d053e8c7ab8663792bc1d792eba9867fc7b317a99 | |
580 | a 0 | |
581 | b 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
582 | r 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 | |
583 | h 4 | |
584 | gx 0x3ab9593f8db09fc188f1d7c4ac9fcc3e57fcd3bdb15024b212c70229de5fcd92eb0ea60 | |
585 | gy 0x2118c4755e7345cd8f603ef93b98b106fe8854ffeb9a3b304634cc83a0e759f0c2686b1 | |
4edc47b8 | 586 | curve nist-b283n binnorm |
45c0fd36 | 587 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 |
4edc47b8 | 588 | beta 0x31e0ed791c3282dc5624a720818049d053e8c7ab8663792bc1d792eba9867fc7b317a99 |
589 | a 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
590 | b 0x157261b894739fb5a13503f55f0b3f10c5601166633102201138cc180c0206bdafbc951 | |
591 | r 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 | |
592 | h 2 | |
593 | gx 0x749468e464ee468634b21f7f61cb700701817e6bc36a2364cb8906e940948eaa463c35d | |
594 | gy 0x62968bd3b489ac5c9b859da68475c315bafcdc4ccd0dc905b70f62446f49c052f49c08c | |
595 | ||
596 | curve nist-k409n binnorm | |
597 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 | |
598 | beta 0x0dfa06be206aa97b7a41fffb9b0c55f8f048062fbe8381b4248adf92912ccc8e3f91a24e1cfb3950532b988971c23042e85708d | |
599 | a 0 | |
600 | b 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
601 | r 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf | |
602 | h 4 | |
603 | gx 0x1b559c7cba2422e3affe13343e808b55e012d726ca0b7e6a63aeafbc1e3a98e10ca0fcf98350c3b7f89a9754a8e1dc0713cec4a | |
604 | gy 0x16d8c42052f07e7713e7490eff318ba1abd6fef8a5433c894b24f5c817aeb79852496fbee803a47bc8a203878ebf1c499afd7d6 | |
4edc47b8 | 605 | curve nist-b409n binnorm |
606 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 | |
607 | beta 0x0dfa06be206aa97b7a41fffb9b0c55f8f048062fbe8381b4248adf92912ccc8e3f91a24e1cfb3950532b988971c23042e85708d | |
608 | a 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
609 | b 0x124d0651c3d3772f7f5a1fe6e715559e2129bdfa04d52f7b6ac7c532cf0ed06f610072d88ad2fdcc50c6fde72843670f8b3742a | |
610 | r 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 | |
611 | h 2 | |
612 | gx 0x0ceacbc9f475767d8e69f3b5dfab39813685262bcacf22b84c7b6dd981899e7318c96f0761f77c602c016ced7c548de830d708f | |
613 | gy 0x199d64ba8f089c6db0e0b61e80bb95934afd0caf2e8be76d1c5e9affc7476df49142691ad30390288aa09bcc59c1573aa3c009a | |
614 | ||
615 | curve nist-k571n binnorm | |
616 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 | |
617 | beta 0x452186bbf5840a0bcf8c9f02a54efa04e813b43c3d4149606c4d27b487bf107393c8907f79d9778beb35ee87467d3288274caebda6ce05aeb4ca5cf3c3044bd4372232f2c1a27c4 | |
618 | a 0 | |
619 | b 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
620 | r 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 | |
621 | h 4 | |
622 | gx 0x04bb2dba418d0db107adae003427e5d7cc139acb465e5934f0bea2ab2f3622bc29b3d5b9aa7a1fdfd5d8be66057c1008e71e484bcd98f22bf8476423767367429ef2ec5bc3ebcf7 | |
623 | gy 0x44cbb57de20788d2c952d7b56cf39bd3e89b18984bd124e751ceff4369dd8dac6a59e6e745df44d8220ce22aa2c852cfcbbef49ebaa98bd2483e33180e04286feaa253050caff60 | |
4edc47b8 | 624 | curve nist-b571n binnorm |
625 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 | |
626 | beta 0x452186bbf5840a0bcf8c9f02a54efa04e813b43c3d4149606c4d27b487bf107393c8907f79d9778beb35ee87467d3288274caebda6ce05aeb4ca5cf3c3044bd4372232f2c1a27c4 | |
627 | a 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff | |
628 | b 0x3762d0d47116006179da35688eeaccf591a5cdea75000118d9608c59132d43426101a1dfb3774115f586623f75f00001ce611983c1275fa31f5bc9f4be1a0f467f01ca885c74777 | |
4edc47b8 | 629 | r 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 |
630 | h 2 | |
631 | gx 0x0735e035def5925cc33173eb2a8ce7767522b466d278b650a2916127dfea9d2d361089f0a7a0247a184e1c70d417866e0fe0feb0ff8f2f3f9176418f97d117e624e2015df1662a8 | |
632 | gy 0x04a36420572616cdf7e606fccadaecfc3b76dab0eb1248dd03fbdfc9cd3242c4726be579855e812de7ec5c500b4576a24628048b6a72d880062eed0dd34b1096d3acbb6b01a4a97 | |
633 | ||
e99c5bdc MW |
634 | #----- Curves from Brainpool ------------------------------------------------ |
635 | # | |
636 | # These are from http://www.ecc-brainpool.org/download/draft-lochter-pkix-brainpool-ecc-00.txt | |
637 | ||
638 | curve brainpool-p160r1 prime | |
639 | p 0xe95e4a5f737059dc60dfc7ad95b3d8139515620f | |
640 | a 0x340e7be2a280eb74e2be61bada745d97e8f7c300 | |
641 | b 0x1e589a8595423412134faa2dbdec95c8d8675e58 | |
642 | r 0xe95e4a5f737059dc60df5991d45029409e60fc09 | |
643 | h 1 | |
644 | gx 0xbed5af16ea3f6a4f62938c4631eb5af7bdbcdbc3 | |
645 | gy 0x1667cb477a1a8ec338f94741669c976316da6321 | |
646 | ||
647 | curve brainpool-p160t1 prime | |
648 | #Z 0x24dbff5dec9b986bbfe5295a29bfbae45e0f5d0b | |
649 | p 0xe95e4a5f737059dc60dfc7ad95b3d8139515620f | |
650 | a 0xe95e4a5f737059dc60dfc7ad95b3d8139515620c | |
651 | b 0x7a556b6dae535b7b51ed2c4d7daa7a0b5c55f380 | |
652 | r 0xe95e4a5f737059dc60df5991d45029409e60fc09 | |
653 | h 1 | |
654 | gx 0xb199b13b9b34efc1397e64baeb05acc265ff2378 | |
655 | gy 0xadd6718b7c7c1961f0991b842443772152c9e0ad | |
656 | ||
657 | curve brainpool-p192r1 prime | |
658 | p 0xc302f41d932a36cda7a3463093d18db78fce476de1a86297 | |
659 | a 0x6a91174076b1e0e19c39c031fe8685c1cae040e5c69a28ef | |
660 | b 0x469a28ef7c28cca3dc721d044f4496bcca7ef4146fbf25c9 | |
661 | r 0xc302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1 | |
662 | h 1 | |
663 | gx 0xc0a0647eaab6a48753b033c56cb0f0900a2f5c4853375fd6 | |
664 | gy 0x14b690866abd5bb88b5f4828c1490002e6773fa2fa299b8f | |
665 | ||
666 | curve brainpool-p192t1 prime | |
667 | #Z 0x1b6f5cc8db4dc7af19458a9cb80dc2295e5eb9c3732104cb | |
668 | p 0xc302f41d932a36cda7a3463093d18db78fce476de1a86297 | |
669 | a 0xc302f41d932a36cda7a3463093d18db78fce476de1a86294 | |
670 | b 0x13d56ffaec78681e68f9deb43b35bec2fb68542e27897b79 | |
671 | r 0xc302f41d932a36cda7a3462f9e9e916b5be8f1029ac4acc1 | |
672 | h 1 | |
673 | gx 0x3ae9e58c82f63c30282e1fe7bbf43fa72c446af6f4618129 | |
674 | gy 0x97e2c5667c2223a902ab5ca449d0084b7e5b3de7ccc01c9 | |
675 | ||
676 | curve brainpool-p224r1 prime | |
677 | p 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff | |
678 | a 0x68a5e62ca9ce6c1c299803a6c1530b514e182ad8b0042a59cad29f43 | |
679 | b 0x2580f63ccfe44138870713b1a92369e33e2135d266dbb372386c400b | |
680 | r 0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f | |
681 | h 1 | |
682 | gx 0xd9029ad2c7e5cf4340823b2a87dc68c9e4ce3174c1e6efdee12c07d | |
683 | gy 0x58aa56f772c0726f24c6b89e4ecdac24354b9e99caa3f6d3761402cd | |
684 | ||
685 | curve brainpool-p224t1 prime | |
686 | #Z 0x2df271e14427a346910cf7a2e6cfa7b3f484e5c2cce1c8b730e28b3f | |
687 | p 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0ff | |
688 | a 0xd7c134aa264366862a18302575d1d787b09f075797da89f57ec8c0fc | |
689 | b 0x4b337d934104cd7bef271bf60ced1ed20da14c08b3bb64f18a60888d | |
690 | r 0xd7c134aa264366862a18302575d0fb98d116bc4b6ddebca3a5a7939f | |
691 | h 1 | |
692 | gx 0x6ab1e344ce25ff3896424e7ffe14762ecb49f8928ac0c76029b4d580 | |
693 | gy 0x374e9f5143e568cd23f3f4d7c0d4b1e41c8cc0d1c6abd5f1a46db4c | |
694 | ||
695 | curve brainpool-p256r1 prime | |
696 | p 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377 | |
697 | a 0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9 | |
698 | b 0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6 | |
699 | r 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7 | |
700 | h 1 | |
701 | gx 0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262 | |
702 | gy 0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997 | |
703 | ||
704 | curve brainpool-p256t1 prime | |
705 | #Z 0x3e2d4bd9597b58639ae7aa669cab9837cf5cf20a2c852d10f655668dfc150ef0 | |
706 | p 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377 | |
707 | a 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5374 | |
708 | b 0x662c61c430d84ea4fe66a7733d0b76b7bf93ebc4af2f49256ae58101fee92b04 | |
709 | r 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7 | |
710 | h 1 | |
711 | gx 0xa3e8eb3cc1cfe7b7732213b23a656149afa142c47aafbc2b79a191562e1305f4 | |
712 | gy 0x2d996c823439c56d7f7b22e14644417e69bcb6de39d027001dabe8f35b25c9be | |
713 | ||
714 | curve brainpool-p320r1 prime | |
715 | p 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e27 | |
716 | a 0x3ee30b568fbab0f883ccebd46d3f3bb8a2a73513f5eb79da66190eb085ffa9f492f375a97d860eb4 | |
717 | b 0x520883949dfdbc42d3ad198640688a6fe13f41349554b49acc31dccd884539816f5eb4ac8fb1f1a6 | |
718 | r 0xd35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59311 | |
719 | h 1 | |
720 | gx 0x43bd7e9afb53d8b85289bcc48ee5bfe6f20137d10a087eb6e7871e2a10a599c710af8d0d39e20611 | |
721 | gy 0x14fdd05545ec1cc8ab4093247f77275e0743ffed117182eaa9c77877aaac6ac7d35245d1692e8ee1 | |
722 | ||
723 | curve brainpool-p320t1 prime | |
724 | #Z 0x15f75caf668077f7e85b42eb01f0a81ff56ecd6191d55cb82b7d861458a18fefc3e5ab7496f3c7b1 | |
725 | p 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e27 | |
726 | a 0xd35e472036bc4fb7e13c785ed201e065f98fcfa6f6f40def4f92b9ec7893ec28fcd412b1f1b32e24 | |
727 | b 0xa7f561e038eb1ed560b3d147db782013064c19f27ed27c6780aaf77fb8a547ceb5b4fef422340353 | |
728 | r 0xd35e472036bc4fb7e13c785ed201e065f98fcfa5b68f12a32d482ec7ee8658e98691555b44c59311 | |
729 | h 1 | |
730 | gx 0x925be9fb01afc6fb4d3e7d4990010f813408ab106c4f09cb7ee07868cc136fff3357f624a21bed52 | |
731 | gy 0x63ba3a7a27483ebf6671dbef7abb30ebee084e58a0b077ad42a5a0989d1ee71b1b9bc0455fb0d2c3 | |
732 | ||
733 | curve brainpool-p384r1 prime | |
734 | p 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53 | |
735 | a 0x7bc382c63d8c150c3c72080ace05afa0c2bea28e4fb22787139165efba91f90f8aa5814a503ad4eb04a8c7dd22ce2826 | |
736 | b 0x4a8c7dd22ce28268b39b55416f0447c2fb77de107dcd2a62e880ea53eeb62d57cb4390295dbc9943ab78696fa504c11 | |
737 | r 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565 | |
738 | h 1 | |
739 | gx 0x1d1c64f068cf45ffa2a63a81b7c13f6b8847a3e77ef14fe3db7fcafe0cbd10e8e826e03436d646aaef87b2e247d4af1e | |
740 | gy 0x8abe1d7520f9c2a45cb1eb8e95cfd55262b70b29feec5864e19c054ff99129280e4646217791811142820341263c5315 | |
741 | ||
742 | curve brainpool-p384t1 prime | |
743 | #Z 0x41dfe8dd399331f7166a66076734a89cd0d2bcdb7d068e44e1f378f41ecbae97d2d63dbc87bccddccc5da39e8589291c | |
744 | p 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec53 | |
745 | a 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b412b1da197fb71123acd3a729901d1a71874700133107ec50 | |
746 | b 0x7f519eada7bda81bd826dba647910f8c4b9346ed8ccdc64e4b1abd11756dce1d2074aa263b88805ced70355a33b471ee | |
747 | r 0x8cb91e82a3386d280f5d6f7e50e641df152f7109ed5456b31f166e6cac0425a7cf3ab6af6b7fc3103b883202e9046565 | |
748 | h 1 | |
749 | gx 0x18de98b02db9a306f2afcd7235f72a819b80ab12ebd653172476fecd462aabffc4ff191b946a5f54d8d0aa2f418808cc | |
750 | gy 0x25ab056962d30651a114afd2755ad336747f93475b7a1fca3b88f2b6a208ccfe469408584dc2b2912675bf5b9e582928 | |
751 | ||
752 | curve brainpool-p512r1 prime | |
753 | p 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3 | |
754 | a 0x7830a3318b603b89e2327145ac234cc594cbdd8d3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94ca | |
755 | b 0x3df91610a83441caea9863bc2ded5d5aa8253aa10a2ef1c98b9ac8b57f1117a72bf2c7b9e7c1ac4d77fc94cadc083e67984050b75ebae5dd2809bd638016f723 | |
756 | r 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069 | |
757 | h 1 | |
758 | gx 0x81aee4bdd82ed9645a21322e9c4c6a9385ed9f70b5d916c1b43b62eef4d0098eff3b1f78e2d0d48d50d1687b93b97d5f7c6d5047406a5e688b352209bcb9f822 | |
759 | gy 0x7dde385d566332ecc0eabfa9cf7822fdf209f70024a57b1aa000c55b881f8111b2dcde494a5f485e5bca4bd88a2763aed1ca2b2fa8f0540678cd1e0f3ad80892 | |
760 | ||
761 | curve brainpool-p512t1 prime | |
762 | #Z 0x12ee58e6764838b69782136f0f2d3ba06e27695716054092e60a80bedb212b64e585d90bce13761f85c3f1d2a64e3be8fea2220f01eba5eeb0f35dbd29d922ab | |
763 | p 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f3 | |
764 | a 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca703308717d4d9b009bc66842aecda12ae6a380e62881ff2f2d82c68528aa6056583a48f0 | |
765 | b 0x7cbbbcf9441cfab76e1890e46884eae321f70c0bcb4981527897504bec3e36a62bcdfa2304976540f6450085f2dae145c22553b465763689180ea2571867423e | |
766 | r 0xaadd9db8dbe9c48b3fd4e6ae33c9fc07cb308db3b3c9d20ed6639cca70330870553e5c414ca92619418661197fac10471db1d381085ddaddb58796829ca90069 | |
767 | h 1 | |
768 | gx 0x640ece5c12788717b9c1ba06cbc2a6feba85842458c56dde9db1758d39c0313d82ba51735cdb3ea499aa77a7d6943a64f7a3f25fe26f06b51baa2696fa9035da | |
769 | gy 0x5b534bd595f5af0fa2c892376c84ace1bb4e3019b71634c01131159cae03cee9d9932184beef216bd71df2dadf86a627306ecff96dbb8bace198b61e00f8b332 | |
770 | ||
a5591f91 MW |
771 | #----- BADA55 curves -------------------------------------------------------- |
772 | # | |
773 | # These are from http://safecurves.cr.yp.to/bada55.html. The twist security | |
774 | # properties actually seem useful, so I'm including them here, despite the | |
775 | # fact that they were obviously made primarily to make a point about | |
776 | # `verifiably random' curves. | |
777 | # | |
778 | # I've had to choose generators myself; in each case, I chose the smallest | |
779 | # possible x-coordinate, and the smaller possible y-coordinate for that x. | |
780 | ||
781 | curve bada55-vr-224 niceprime | |
782 | p 0xffffffffffffffffffffffffffffffff000000000000000000000001 | |
783 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe | |
784 | b 0xfd9ca54c0738b8a6fb8cf4cdb328e75983d6da1b78b6223463375562 | |
785 | r 0xffffffffffffffffffffffffffff0d44ef1096b2b67b7a3dcee7b079 | |
786 | h 1 | |
787 | gx 3 | |
788 | gy 0x32e826f050bdf4c3f4292fa4efa50146b0fd3f342da5e081badbc36c | |
789 | ||
790 | curve bada55-vpr-224 niceprime | |
791 | p 0xffffffffffffffffffffffffffffffff000000000000000000000001 | |
792 | a 0x8110b017fda88a224f3f64f3964926308dec9784b13c08f09f4ffc4a | |
793 | b 0x5587342f92ba3091a9ba09ad867f4cef85778edb831054f9cb5b3ed5 | |
794 | r 0xffffffffffffffffffffffffffff473fa5d3e9bf40a95a8d3f014add | |
795 | h 1 | |
796 | gx 0 | |
797 | gy 0x5bf50773d4af0f3caba87919b7504fcbd4549f9f845d19aa369dbabe | |
798 | ||
799 | curve bada55-vpt-224 niceprime | |
800 | # The page doesn't provide an isomorphic curve with a = -3, which is | |
801 | # unsurprising because (unlike the real Brainpool curves) there isn't one. | |
802 | # So this is the quadratic twist of BADA55-VPR-224, which (by construction) | |
803 | # also has prime order. | |
804 | #Z sqrt(39bef747a58ef82f6d337dd7dfd37641688b10cacfbd45448673c6dd) | |
805 | p 0xffffffffffffffffffffffffffffffff000000000000000000000001 | |
806 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe | |
807 | b 0x3c1f1d26b674d3a1a0a34a808decd83dea4fd207b9896a88031ef63a | |
808 | r 0x10000000000000000000000000000b8be5a2c1640bf56a572c0feb527 | |
809 | h 1 | |
810 | gx 3 | |
811 | gy 0x2df5bbdfd22559ee826d7d3ce60914e4f8609579eddd3c0a07dff90c | |
812 | ||
813 | curve bada55-vr-256 niceprime | |
814 | p 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff | |
815 | a 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc | |
816 | b 0xbada55ecd8bbead3add6c534f92197deb47fceb9be7e0e702a8d1dd56b5d0b0c | |
817 | r 0xffffffff00000000fffffffffffffffebedc2797003336661a49d76a903bdb91 | |
818 | h 1 | |
819 | gx 0 | |
820 | gy 0x5310d24619c2e5b721e14dcedc3332d0be3ce9347161ebbc14a43fc7fad546d2 | |
821 | ||
822 | curve bada55-vr-384 niceprime | |
823 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff | |
824 | a 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc | |
825 | b 0xbada55ec3be2ad1f9eeea5881ecf95bbf3ac392526f01d4cd13e684c63a17cc4d5f271642ad83899113817a61006413d | |
826 | r 0xfffffffffffffffffffffffffffffffffffffffffffffffeefe1169b82ff7e5032c683f766fae57359cfc5fc25ffce37 | |
827 | h 1 | |
828 | gx 2 | |
829 | gy 0x37d4cb922a8a155845ae2b2884c788a01a22fbf621a7918dc1f18a89fad6df0ab3169acfa538eb7c6c1c9cda7cfb5023 | |
830 | ||
4edc47b8 | 831 | #----- That's all, folks----------------------------------------------------- |