38b90111 |
1 | # $Id$ |
432c4e18 |
2 | # |
3 | # Standard ellipic curves |
4 | |
5 | #----- Curves from SEC2 ----------------------------------------------------- |
6 | |
7 | curve secp112r1 prime |
8 | p 0xdb7c2abf62e35e668076bead208b |
9 | a 0xdb7c2abf62e35e668076bead2088 |
10 | b 0x659ef8ba043916eede8911702b22 |
11 | r 0xdb7c2abf62e35e7628dfac6561c5 |
12 | h 1 |
13 | gx 0x09487239995a5ee76b55f9c2f098 |
14 | gy 0xa89ce5af8724c0a23e0e0ff77500 |
432c4e18 |
15 | curve secp112r2 prime |
16 | p 0xdb7c2abf62e35e668076bead208b |
17 | a 0x6127c24c05f38a0aaaf65c0ef02c |
18 | b 0x51def1815db5ed74fcc34c85d709 |
19 | r 0x36df0aafd8b8d7597ca10520d04b |
20 | h 4 |
21 | gx 0x4ba30ab5e892b4e1649dd0928643 |
22 | gy 0xadcd46f5882e3747def36e956e97 |
23 | |
24 | curve secp128r1 niceprime |
25 | p 0xfffffffdffffffffffffffffffffffff |
26 | a 0xfffffffdfffffffffffffffffffffffc |
27 | b 0xe87579c11079f43dd824993c2cee5ed3 |
28 | r 0xfffffffe0000000075a30d1b9038a115 |
29 | h 1 |
30 | gx 0x161ff7528b899b2d0c28607ca52c5b86 |
31 | gy 0xcf5ac8395bafeb13c02da292dded7a83 |
432c4e18 |
32 | curve secp128r2 niceprime |
33 | p 0xfffffffdffffffffffffffffffffffff |
34 | a 0xd6031998d1b3bbfebf59cc9bbff9aee1 |
35 | b 0x5eeefca380d02919dc2c6558bb6d8a5d |
36 | r 0x3fffffff7fffffffbe0024720613b5a3 |
37 | h 4 |
38 | gx 0x7b6aa5d85e572983e6fb32a7cdebc140 |
39 | gy 0x27b6916a894d3aee7106fe805fc34b44 |
40 | |
41 | curve secp160k1 niceprime |
42 | p 0xfffffffffffffffffffffffffffffffeffffac73 |
43 | a 0 |
44 | b 7 |
45 | r 0x0100000000000000000001b8fa16dfab9aca16b6b3 |
46 | h 1 |
47 | gx 0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb |
48 | gy 0x938cf935318fdced6bc28286531733c3f03c4fee |
432c4e18 |
49 | curve secp160r1 niceprime |
50 | p 0xffffffffffffffffffffffffffffffff7fffffff |
51 | a 0xffffffffffffffffffffffffffffffff7ffffffc |
52 | b 0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45 |
53 | r 0x0100000000000000000001f4c8f927aed3ca752257 |
54 | h 1 |
55 | gx 0x4a96b5688ef573284664698968c38bb913cbfc82 |
56 | gy 0x23a628553168947d59dcc912042351377ac5fb32 |
432c4e18 |
57 | curve secp160r2 niceprime |
58 | p 0xfffffffffffffffffffffffffffffffeffffac73 |
59 | a 0xfffffffffffffffffffffffffffffffeffffac70 |
60 | b 0xb4e134d3fb59eb8bab57274904664d5af50388ba |
61 | r 0x0100000000000000000000351ee786a818f3a1a16b |
62 | h 1 |
63 | gx 0x52dcb034293a117e1f4ff11b30f7199d3144ce6d |
64 | gy 0xfeaffef2e331f296e071fa0df9982cfea7d43f2e |
65 | |
66 | curve secp192k1 niceprime |
67 | p 0xfffffffffffffffffffffffffffffffffffffffeffffee37 |
68 | a 0 |
69 | b 3 |
70 | r 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d |
71 | h 1 |
72 | gx 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d |
73 | gy 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d |
432c4e18 |
74 | curve secp192r1 niceprime |
75 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff |
76 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc |
77 | b 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1 |
78 | r 0xffffffffffffffffffffffff99def836146bc9b1b4d22831 |
79 | h 1 |
80 | gx 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012 |
81 | gy 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811 |
82 | |
83 | curve secp224k1 niceprime |
84 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffeffffe56d |
85 | a 0 |
86 | b 5 |
87 | r 0x010000000000000000000000000001dce8d2ec6184caf0a971769fb1f7 |
88 | h 1 |
89 | gx 0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c |
90 | gy 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5 |
432c4e18 |
91 | curve secp224r1 niceprime |
92 | p 0xffffffffffffffffffffffffffffffff000000000000000000000001 |
93 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe |
94 | b 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4 |
95 | r 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3d |
96 | h 1 |
97 | gx 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21 |
98 | gy 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34 |
99 | |
100 | curve secp256k1 niceprime |
101 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f |
102 | a 0 |
103 | b 7 |
104 | r 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141 |
105 | h 1 |
106 | gx 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 |
107 | gy 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8 |
432c4e18 |
108 | curve secp256r1 niceprime |
109 | p 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff |
110 | a 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc |
111 | b 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b |
112 | r 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551 |
113 | h 1 |
114 | gx 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296 |
115 | gy 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5 |
116 | |
117 | curve secp384r1 niceprime |
118 | p 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff |
119 | a 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc |
120 | b 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef |
121 | r 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973 |
122 | h 1 |
123 | gx 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7 |
124 | gy 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f |
125 | |
126 | curve secp521r1 niceprime |
127 | p 0x01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
128 | a 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc |
129 | b 0x0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00 |
130 | r 0x01fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409 |
131 | h 1 |
132 | gx 0x00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66 |
133 | gy 0x011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650 |
134 | |
135 | curve sect113r1 binpoly |
136 | p 0x20000000000000000000000000201 |
137 | a 0x003088250ca6e7c7fe649ce85820f7 |
138 | b 0x00e8bee4d3e2260744188be0e9c723 |
139 | r 0x0100000000000000d9ccec8a39e56f |
140 | h 2 |
141 | gx 0x009d73616f35f4ab1407d73562c10f |
142 | gy 0x00a52830277958ee84d1315ed31886 |
432c4e18 |
143 | curve sect113r2 binpoly |
144 | p 0x20000000000000000000000000201 |
145 | a 0x00689918dbec7e5a0dd6dfc0aa55c7 |
146 | b 0x0095e9a9ec9b297bd4bf36e059184f |
147 | r 0x010000000000000108789b2496af93 |
148 | h 2 |
149 | gx 0x01a57a6a7b26ca5ef52fcdb8164797 |
150 | gy 0x00b3adc94ed1fe674c06e695baba1d |
151 | |
152 | curve sect131r1 binpoly |
153 | p 0x80000000000000000000000000000010d |
154 | a 0x07a11b09a76b562144418ff3ff8c2570b8 |
155 | b 0x0217c05610884b63b9c6c7291678f9d341 |
156 | r 0x0400000000000000023123953a9464b54d |
157 | h 2 |
158 | gx 0x0081baf91fdf9833c40f9c181343638399 |
159 | gy 0x078c6e7ea38c001f73c8134b1b4ef9e150 |
432c4e18 |
160 | curve sect131r2 binpoly |
161 | p 0x80000000000000000000000000000010d |
162 | a 0x03e5a88919d7cafcbf415f07c2176573b2 |
163 | b 0x04b8266a46c55657ac734ce38f018f2192 |
164 | r 0x0400000000000000016954a233049ba98f |
165 | h 2 |
166 | gx 0x0356dcd8f2f95031ad652d23951bb366a8 |
167 | gy 0x0648f06d867940a5366d9e265de9eb240f |
168 | |
169 | curve sect163k1 binpoly |
170 | p 0x800000000000000000000000000000000000000c9 |
171 | a 1 |
172 | b 1 |
173 | r 0x04000000000000000000020108a2e0cc0d99f8a5ef |
174 | h 2 |
175 | gx 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8 |
176 | gy 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9 |
432c4e18 |
177 | curve sect163r1 binpoly |
178 | p 0x800000000000000000000000000000000000000c9 |
179 | a 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2 |
180 | b 0x0713612dcddcb40aab946bda29ca91f73af958afd9 |
181 | r 0x03ffffffffffffffffffff48aab689c29ca710279b |
182 | h 2 |
183 | gx 0x0369979697ab43897789566789567f787a7876a654 |
184 | gy 0x00435edb42efafb2989d51fefce3c80988f41ff883 |
432c4e18 |
185 | curve sect163r2 binpoly |
186 | p 0x800000000000000000000000000000000000000c9 |
187 | a 1 |
188 | b 0x020a601907b8c953ca1481eb10512f78744a3205fd |
189 | r 0x040000000000000000000292fe77e70c12a4234c33 |
190 | h 2 |
191 | gx 0x03f0eba16286a2d57ea0991168d4994637e8343e36 |
192 | gy 0x00d51fbc6c71a0094fa2cdd545b11c5c0c797324f1 |
193 | |
194 | curve sect193r1 binpoly |
195 | p 0x2000000000000000000000000000000000000000000008001 |
196 | a 0x0017858feb7a98975169e171f77b4087de098ac8a911df7b01 |
197 | b 0x00fdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814 |
198 | r 0x01000000000000000000000000c7f34a778f443acc920eba49 |
199 | h 2 |
200 | gx 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1 |
201 | gy 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05 |
432c4e18 |
202 | curve sect193r2 binpoly |
203 | p 0x2000000000000000000000000000000000000000000008001 |
204 | a 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b |
205 | b 0x00c9bb9e8927d4d64c377e2ab2856a5b16e3efb7f61d4316ae |
206 | r 0x010000000000000000000000015aab561b005413ccd4ee99d5 |
207 | h 2 |
208 | gx 0x00d9b67d192e0367c803f39e1a7e82ca14a651350aae617e8f |
209 | gy 0x01ce94335607c304ac29e7defbd9ca01f596f927224cdecf6c |
210 | |
211 | curve sect233k1 binpoly |
212 | p 0x20000000000000000000000000000000000000004000000000000000001 |
213 | a 0 |
214 | b 1 |
215 | r 0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf |
216 | h 4 |
217 | gx 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126 |
218 | gy 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3 |
432c4e18 |
219 | curve sect233r1 binpoly |
220 | p 0x20000000000000000000000000000000000000004000000000000000001 |
221 | a 1 |
222 | b 0x0066647ede6c332c7f8c0923bb58213b333b20e9ce4281fe115f7d8f90ad |
223 | r 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 |
224 | h 2 |
225 | gx 0x00fac9dfcbac8313bb2139f1bb755fef65bc391f8b36f8f8eb7371fd558b |
226 | gy 0x01006a08a41903350678e58528bebf8a0beff867a7ca36716f7e01f81052 |
227 | |
228 | curve sect239k1 binpoly |
229 | p 0x800000000000000000004000000000000000000000000000000000000001 |
230 | a 0 |
231 | b 1 |
232 | r 0x2000000000000000000000000000005a79fec67cb6e91f1c1da800e478a5 |
233 | h 4 |
234 | gx 0x29a0b6a887a983e9730988a68727a8b2d126c44cc2cc7b2a6555193035dc |
235 | gy 0x76310804f12e549bdb011c103089e73510acb275fc312a5dc6b76553f0ca |
236 | |
237 | curve sect283k1 binpoly |
238 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 |
239 | a 0 |
240 | b 1 |
241 | r 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 |
242 | h 4 |
243 | gx 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836 |
244 | gy 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259 |
432c4e18 |
245 | curve sect283r1 binpoly |
246 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 |
247 | a 1 |
248 | b 0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5 |
249 | r 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 |
250 | h 2 |
251 | gx 0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053 |
252 | gy 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4 |
253 | |
254 | curve sect409k1 binpoly |
255 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 |
256 | a 0 |
257 | b 1 |
258 | r 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf |
259 | h 4 |
260 | gx 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746 |
261 | gy 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b |
432c4e18 |
262 | curve sect409r1 binpoly |
263 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 |
264 | a 1 |
265 | b 0x0021a5c2c8ee9feb5c4b9a753b7b476b7fd6422ef1f3dd674761fa99d6ac27c8a9a197b272822f6cd57a55aa4f50ae317b13545f |
266 | r 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 |
267 | h 2 |
268 | gx 0x015d4860d088ddb3496b0c6064756260441cde4af1771d4db01ffe5b34e59703dc255a868a1180515603aeab60794e54bb7996a7 |
269 | gy 0x0061b1cfab6be5f32bbfa78324ed106a7636b9c5a7bd198d0158aa4f5488d08f38514f1fdf4b4f40d2181b3681c364ba0273c706 |
270 | |
271 | curve sect571k1 binpoly |
272 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 |
273 | a 0 |
274 | b 1 |
275 | r 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 |
276 | h 4 |
277 | gx 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972 |
278 | gy 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3 |
432c4e18 |
279 | curve sect571r1 binpoly |
280 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 |
281 | a 1 |
282 | b 0x02f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a |
283 | r 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 |
284 | h 2 |
285 | gx 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19 |
286 | gy 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b |
287 | |
38b90111 |
288 | #----- Curves from ANSI X9.62 ----------------------------------------------- |
fb8db84d |
289 | # |
290 | # The conversion factors for the normal basis representations were generated |
291 | # because none were given in the document. |
38b90111 |
292 | |
953ec7bd |
293 | curve ansi-c2pnb163v1 binpoly |
38b90111 |
294 | p 0x080000000000000000000000000000000000000107 |
295 | a 0x072546b5435234a422e0789675f432c89435de5242 |
296 | b 0x00c9517d06d5240d3cff38c74b20b6cd4d6f9dd4d9 |
297 | r 0x0400000000000000000001e60fc8821cc74daeafc1 |
298 | h 2 |
299 | gx 0x07af69989546103d79329fcc3d74880f33bbe803cb |
300 | gy 0x01ec23211b5966adea1d3f87f7ea5848aef0b7ca9f |
953ec7bd |
301 | curve ansi-c2pnb163v2 binpoly |
38b90111 |
302 | p 0x080000000000000000000000000000000000000107 |
303 | a 0x0108b39e77c4b108bed981ed0e890e117c511cf072 |
304 | b 0x0667aceb38af4e488c407433ffae4f1c811638df20 |
305 | r 0x03fffffffffffffffffffdf64de1151adbb78f10a7 |
306 | h 2 |
307 | gx 0x0024266e4eb5106d0a964d92c4860e2671db9b6cc5 |
308 | gy 0x079f684ddf6684c5cd258b3890021b2386dfd19fc5 |
953ec7bd |
309 | curve ansi-c2pnb163v3 binpoly |
38b90111 |
310 | p 0x080000000000000000000000000000000000000107 |
311 | a 0x07a526c63d3e25a256a007699f5447e32ae456b50e |
312 | b 0x03f7061798eb99e238fd6f1bf95b48feeb4854252b |
313 | r 0x03fffffffffffffffffffe1aee140f110aff961309 |
314 | h 2 |
315 | gx 0x02f9f87b7c574d0bdecf8a22e6524775f98cdebdcb |
316 | gy 0x05b935590c155e17ea48eb3ff3718b893df59a05d0 |
38b90111 |
317 | |
953ec7bd |
318 | # ansi-c2pnb176w1 has an unacceptable cofactor; and 176 isn't prime anyway |
319 | |
320 | curve ansi-c2tnb191v1 binpoly |
38b90111 |
321 | p 0x800000000000000000000000000000000000000000000201 |
322 | a 0x2866537b676752636a68f56554e12640276b649ef7526267 |
323 | b 0x2e45ef571f00786f67b0081b9495a3d95462f5de0aa185ec |
324 | r 0x40000000000000000000000004a20e90c39067c893bbb9a5 |
325 | h 2 |
326 | gx 0x36b3daf8a23206f9c4f299d7b21a9c369137f2c84ae1aa0d |
327 | gy 0x765be73433b3f95e332932e70ea245ca2418ea0ef98018fb |
953ec7bd |
328 | curve ansi-c2tnb191v2 binpoly |
38b90111 |
329 | p 0x800000000000000000000000000000000000000000000201 |
330 | a 0x401028774d7777c7b7666d1366ea432071274f89ff01e718 |
331 | b 0x0620048d28bcbd03b6249c99182b7c8cd19700c362c46a01 |
332 | r 0x20000000000000000000000050508cb89f652824e06b8173 |
333 | h 4 |
334 | gx 0x3809b2b7cc1b28cc5a87926aad83fd28789e81e2c9e3bf10 |
335 | gy 0x17434386626d14f3dbf01760d9213a3e1cf37aec437d668a |
389d8222 |
336 | # ansi-c2tnb191v3 and ansi-c2onb191v2 have unacceptable cofactor |
337 | curve ansi-c2onb191v1 binnorm |
338 | p 0x800000000000000000000000000000000000000000000201 |
339 | beta 0x19c409a7f85383bf0ef72b097a5c7398013a2dba6269292d |
340 | a 0x65903e04e1e4924253e26a3c9ac28c758bd8184a3fb680e8 |
341 | b 0x54678621b190cfce282ade219d5b3a065e3f4b3ffdebb29b |
342 | r 0x4000000000000000000000009cf2d6e3901dac4c32eec65d |
343 | h 2 |
344 | gx 0x5a2c69a32e8638e51ccefaad05350a978457cb5fb6df994a |
345 | gy 0x0f32fe0fa0e902f19b17d363c269f4f5cfe8087618569954 |
38b90111 |
346 | |
953ec7bd |
347 | # ansi-c2pnb208v1 has an unacceptable cofactor; and 208 isn't prime anyway |
38b90111 |
348 | |
953ec7bd |
349 | curve ansi-c2tnb239v1 binpoly |
38b90111 |
350 | p 0x800000000000000000000000000000000000000000000000001000000001 |
351 | a 0x32010857077c5431123a46b808906756f543423e8d27877578125778ac76 |
352 | b 0x790408f2eedaf392b012edefb3392f30f4327c0ca3f31fc383c422aa8c16 |
353 | r 0x2000000000000000000000000000000f4d42ffe1492a4993f1cad666e447 |
354 | h 4 |
355 | gx 0x57927098fa932e7c0a96d3fd5b706ef7e5f5c156e16b7e7c86038552e91d |
356 | gy 0x61d8ee5077c33fecf6f1a16b268de469c3c7744ea9a971649fc7a9616305 |
389d8222 |
357 | # ansi-c2tnb239v{2,3} and ansi-c2onb239v2 have unacceptable cofactors |
358 | curve ansi-c2onb239v1 binnorm |
359 | p 0x800000000000000000000000000000000000000000000000001000000001 |
360 | beta 0x3b5ce9846911b248f9347018a7ac8cce3662cee952ba45becd02d4b903ec |
361 | a 0x182dd45f5d470239b8983fea47b8b292641c57f9bf84baecde8bb3adce30 |
362 | b 0x147a9c1d4c2ce9be5d34ec02797f76667ebad5a3f93fa2a524bfde91ef28 |
363 | r 0x200000000000000000000000000000474f7e69f42fe430931d0b455aae8b |
364 | h 4 |
365 | gx 0x4912ad657f1d1c6b32edb9942c95e226b06fb012cd40fdea0d72197c8104 |
366 | gy 0x01f1fbc3d21168fd3f66c441c2b5c6cfdcd9ed3e13646b7a4db9a3b0c286 |
38b90111 |
367 | |
953ec7bd |
368 | # ansi-c2pnb272w1 has an unacceptable cofactor; and 272 isn't prime anyway |
38b90111 |
369 | |
953ec7bd |
370 | # ansi-c2pnb304w1 has an unacceptable cofactor; and 304 isn't prime anyway |
38b90111 |
371 | |
953ec7bd |
372 | # ansi-c2tnb359v1 has an unacceptable cofactor |
38b90111 |
373 | |
953ec7bd |
374 | # ansi-c2pnb368w1 has an unacceptable cofactor; and 368 isn't prime anyway |
38b90111 |
375 | |
953ec7bd |
376 | # ansi-c2tnb431v1 has an unacceptable cofactor |
38b90111 |
377 | |
953ec7bd |
378 | alias ansi-prime192v1 secp192r1 |
379 | curve ansi-prime192v2 niceprime |
38b90111 |
380 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff |
381 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc |
382 | b 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953 |
383 | r 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31 |
384 | h 1 |
385 | gx 0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a |
386 | gy 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15 |
953ec7bd |
387 | curve ansi-prime192v3 niceprime |
38b90111 |
388 | p 0xfffffffffffffffffffffffffffffffeffffffffffffffff |
389 | a 0xfffffffffffffffffffffffffffffffefffffffffffffffc |
390 | b 0x22123dc2395a05caa7423daeccc94760a7d462256bd56916 |
391 | r 0xffffffffffffffffffffffff7a62d031c83f4294f640ec13 |
392 | h 1 |
393 | gx 0x7d29778100c65a1da1783716588dce2b8b4aee8e228f1896 |
394 | gy 0x38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0 |
395 | |
953ec7bd |
396 | curve ansi-prime239v1 niceprime |
38b90111 |
397 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
398 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc |
399 | b 0x6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a |
400 | r 0x7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b |
401 | h 1 |
402 | gx 0x0ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf |
403 | gy 0x7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae |
953ec7bd |
404 | curve ansi-prime239v2 niceprime |
38b90111 |
405 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
406 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc |
407 | b 0x617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c |
408 | r 0x7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063 |
409 | h 1 |
410 | gx 0x38af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7 |
411 | gy 0x5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba |
953ec7bd |
412 | curve ansi-prime239v3 niceprime |
38b90111 |
413 | p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff |
414 | a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc |
415 | b 0x255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e |
416 | r 0x7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551 |
417 | h 1 |
418 | gx 0x6768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a |
419 | gy 0x1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3 |
420 | |
953ec7bd |
421 | alias ansi-prime256v1 secp256r1 |
422 | |
423 | #----- Curves from ANSI X9.63 ----------------------------------------------- |
424 | # |
425 | # These are just duplicates of the SEC curves. |
426 | |
427 | alias ansit163k1 sect163k1 |
428 | alias ansit163r1 sect163r1 |
429 | alias ansit163r2 sect163r2 |
430 | alias ansit193r1 sect193r1 |
431 | alias ansit193r2 sect193r2 |
432 | alias ansit233k1 sect233k1 |
433 | alias ansit233r1 sect233r1 |
434 | alias ansit239k1 sect239k1 |
435 | alias ansit283k1 sect283k1 |
436 | alias ansit283r1 sect283r1 |
437 | alias ansit409k1 sect409k1 |
438 | alias ansit409r1 sect409r1 |
439 | alias ansit571k1 sect571k1 |
440 | alias ansit571r1 sect571r1 |
441 | |
442 | alias ansip160k1 secp160k1 |
443 | alias ansip160r1 secp160r1 |
444 | alias ansip160r2 secp160r2 |
445 | alias ansip192k1 secp192k1 |
446 | alias ansip192r1 secp192r1 |
447 | alias ansip224k1 secp224k1 |
448 | alias ansip224r1 secp224r1 |
449 | alias ansip256k1 secp256k1 |
450 | alias ansip256r1 secp256r1 |
451 | alias ansip384r1 secp384r1 |
452 | alias ansip521r1 secp521r1 |
38b90111 |
453 | |
432c4e18 |
454 | #----- Curves from RFC2414 (Oakley) ----------------------------------------- |
455 | # |
389d8222 |
456 | # The Oakley curves are not good: |
457 | # oakley155 has too large a cofactor |
458 | # oakley185's field has composite degree |
459 | # Hence, we include neither here. |
432c4e18 |
460 | |
461 | #----- NIST curves from FIPS186-2 ------------------------------------------- |
462 | # |
fb8db84d |
463 | # These are duplicates of SEC2 curves. However, the normal basis |
464 | # representations aren't in SEC, so we give them here. (Conversion factors |
465 | # from FIPS186-2. |
432c4e18 |
466 | |
467 | alias nist-p192 secp192r1 |
468 | alias nist-p224 secp224r1 |
469 | alias nist-p256 secp256r1 |
470 | alias nist-p384 secp384r1 |
471 | alias nist-p521 secp521r1 |
472 | |
473 | alias nist-k163 sect163k1 |
474 | alias nist-k233 sect233k1 |
475 | alias nist-k283 sect283k1 |
476 | alias nist-k409 sect409k1 |
477 | alias nist-k571 sect571k1 |
478 | |
479 | alias nist-b163 sect163r2 |
480 | alias nist-b233 sect233r1 |
481 | alias nist-b283 sect283r1 |
482 | alias nist-b409 sect409r1 |
483 | alias nist-b571 sect571r1 |
484 | |
4edc47b8 |
485 | curve nist-k163n binnorm |
486 | p 0x800000000000000000000000000000000000000c9 |
487 | beta 0x715169c109c612e390d347c748342bcd3b02a0bef |
488 | a 0x7ffffffffffffffffffffffffffffffffffffffff |
489 | b 0x7ffffffffffffffffffffffffffffffffffffffff |
490 | r 0x04000000000000000000020108a2e0cc0d99f8a5ef |
491 | h 2 |
492 | gx 0x05679b353caa46825fea2d3713ba450da0c2a4541 |
493 | gy 0x235b7c6710050689906bac3d9dec76a835591edb2 |
4edc47b8 |
494 | curve nist-b163n binnorm |
495 | p 0x800000000000000000000000000000000000000c9 |
496 | beta 0x715169c109c612e390d347c748342bcd3b02a0bef |
497 | a 0x7ffffffffffffffffffffffffffffffffffffffff |
498 | b 0x6645f3cacf1638e139c6cd13ef61734fbc9e3d9fb |
499 | r 0x040000000000000000000292fe77e70c12a4234c33 |
500 | h 2 |
501 | gx 0x0311103c17167564ace77ccb09c681f886ba54ee8 |
502 | gy 0x333ac13c6447f2e67613bf7009daf98c87bb50c7f |
503 | |
504 | curve nist-k233n binnorm |
505 | p 0x20000000000000000000000000000000000000004000000000000000001 |
506 | beta 0x1499e398ac5d79e368559b35ca49bb7305da6c0390bcf9e2300253203c9 |
507 | a 0 |
508 | b 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
509 | r 0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf |
510 | h 4 |
511 | gx 0x0fde76d9dcd26e643ac26f1aa901aa129784b71fc0722b2d05614d650b3 |
512 | gy 0x0643e317633155c9e0447ba8020a3c43177450ee036d633501434cac978 |
4edc47b8 |
513 | curve nist-b233n binnorm |
514 | p 0x20000000000000000000000000000000000000004000000000000000001 |
515 | beta 0x1499e398ac5d79e368559b35ca49bb7305da6c0390bcf9e2300253203c9 |
516 | a 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
517 | b 0x1a003e0962d4f9a8e407c904a9538163adb825212600c7752ad52233279 |
518 | r 0x01000000000000000000000000000013e974e72f8a6922031d2603cfe0d7 |
519 | h 2 |
520 | gx 0x18b863524b3cdfefb94f2784e0b116faac54404bc9162a363bab84a14c5 |
521 | gy 0x04925df77bd8b8ff1a5ff519417822bfedf2bbd752644292c98c7af6e02 |
522 | |
523 | curve nist-k283n binnorm |
524 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 |
525 | beta 0x31e0ed791c3282dc5624a720818049d053e8c7ab8663792bc1d792eba9867fc7b317a99 |
526 | a 0 |
527 | b 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
528 | r 0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 |
529 | h 4 |
530 | gx 0x3ab9593f8db09fc188f1d7c4ac9fcc3e57fcd3bdb15024b212c70229de5fcd92eb0ea60 |
531 | gy 0x2118c4755e7345cd8f603ef93b98b106fe8854ffeb9a3b304634cc83a0e759f0c2686b1 |
4edc47b8 |
532 | curve nist-b283n binnorm |
533 | p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 |
534 | beta 0x31e0ed791c3282dc5624a720818049d053e8c7ab8663792bc1d792eba9867fc7b317a99 |
535 | a 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
536 | b 0x157261b894739fb5a13503f55f0b3f10c5601166633102201138cc180c0206bdafbc951 |
537 | r 0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 |
538 | h 2 |
539 | gx 0x749468e464ee468634b21f7f61cb700701817e6bc36a2364cb8906e940948eaa463c35d |
540 | gy 0x62968bd3b489ac5c9b859da68475c315bafcdc4ccd0dc905b70f62446f49c052f49c08c |
541 | |
542 | curve nist-k409n binnorm |
543 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 |
544 | beta 0x0dfa06be206aa97b7a41fffb9b0c55f8f048062fbe8381b4248adf92912ccc8e3f91a24e1cfb3950532b988971c23042e85708d |
545 | a 0 |
546 | b 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
547 | r 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf |
548 | h 4 |
549 | gx 0x1b559c7cba2422e3affe13343e808b55e012d726ca0b7e6a63aeafbc1e3a98e10ca0fcf98350c3b7f89a9754a8e1dc0713cec4a |
550 | gy 0x16d8c42052f07e7713e7490eff318ba1abd6fef8a5433c894b24f5c817aeb79852496fbee803a47bc8a203878ebf1c499afd7d6 |
4edc47b8 |
551 | curve nist-b409n binnorm |
552 | p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001 |
553 | beta 0x0dfa06be206aa97b7a41fffb9b0c55f8f048062fbe8381b4248adf92912ccc8e3f91a24e1cfb3950532b988971c23042e85708d |
554 | a 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
555 | b 0x124d0651c3d3772f7f5a1fe6e715559e2129bdfa04d52f7b6ac7c532cf0ed06f610072d88ad2fdcc50c6fde72843670f8b3742a |
556 | r 0x010000000000000000000000000000000000000000000000000001e2aad6a612f33307be5fa47c3c9e052f838164cd37d9a21173 |
557 | h 2 |
558 | gx 0x0ceacbc9f475767d8e69f3b5dfab39813685262bcacf22b84c7b6dd981899e7318c96f0761f77c602c016ced7c548de830d708f |
559 | gy 0x199d64ba8f089c6db0e0b61e80bb95934afd0caf2e8be76d1c5e9affc7476df49142691ad30390288aa09bcc59c1573aa3c009a |
560 | |
561 | curve nist-k571n binnorm |
562 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 |
563 | beta 0x452186bbf5840a0bcf8c9f02a54efa04e813b43c3d4149606c4d27b487bf107393c8907f79d9778beb35ee87467d3288274caebda6ce05aeb4ca5cf3c3044bd4372232f2c1a27c4 |
564 | a 0 |
565 | b 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
566 | r 0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 |
567 | h 4 |
568 | gx 0x04bb2dba418d0db107adae003427e5d7cc139acb465e5934f0bea2ab2f3622bc29b3d5b9aa7a1fdfd5d8be66057c1008e71e484bcd98f22bf8476423767367429ef2ec5bc3ebcf7 |
569 | gy 0x44cbb57de20788d2c952d7b56cf39bd3e89b18984bd124e751ceff4369dd8dac6a59e6e745df44d8220ce22aa2c852cfcbbef49ebaa98bd2483e33180e04286feaa253050caff60 |
4edc47b8 |
570 | curve nist-b571n binnorm |
571 | p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425 |
572 | beta 0x452186bbf5840a0bcf8c9f02a54efa04e813b43c3d4149606c4d27b487bf107393c8907f79d9778beb35ee87467d3288274caebda6ce05aeb4ca5cf3c3044bd4372232f2c1a27c4 |
573 | a 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff |
574 | b 0x3762d0d47116006179da35688eeaccf591a5cdea75000118d9608c59132d43426101a1dfb3774115f586623f75f00001ce611983c1275fa31f5bc9f4be1a0f467f01ca885c74777 |
4edc47b8 |
575 | r 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47 |
576 | h 2 |
577 | gx 0x0735e035def5925cc33173eb2a8ce7767522b466d278b650a2916127dfea9d2d361089f0a7a0247a184e1c70d417866e0fe0feb0ff8f2f3f9176418f97d117e624e2015df1662a8 |
578 | gy 0x04a36420572616cdf7e606fccadaecfc3b76dab0eb1248dd03fbdfc9cd3242c4726be579855e812de7ec5c500b4576a24628048b6a72d880062eed0dd34b1096d3acbb6b01a4a97 |
579 | |
580 | #----- That's all, folks----------------------------------------------------- |