7 #if CRYPTOPP_MSC_VERSION
9 # pragma warning(disable: 4127 4189 4505)
12 #if CRYPTOPP_GCC_DIAGNOSTIC_AVAILABLE
13 # pragma GCC diagnostic push
14 # pragma GCC diagnostic ignored "-Wunused-function"
17 #ifndef CRYPTOPP_IMPORTS
35 #ifndef CRYPTOPP_MANUALLY_INSTANTIATE_TEMPLATES
36 extern const char ECCRYPTO_FNAME[] = __FILE__;
42 #if defined(CRYPTOPP_DEBUG) && !defined(CRYPTOPP_DOXYGEN_PROCESSING)
43 static void ECDSA_TestInstantiations()
57 ANONYMOUS_NAMESPACE_BEGIN
60 unsigned int l = x.ByteCount();
88 ANONYMOUS_NAMESPACE_END
92 template <
class T>
struct EcRecommendedParameters;
94 template<>
struct EcRecommendedParameters<
EC2N>
96 EcRecommendedParameters(
const OID &oid,
unsigned int t2,
unsigned int t3,
unsigned int t4,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
97 : oid(oid), a(a), b(b), g(g), n(n), h(h), t0(0), t1(0), t2(t2), t3(t3), t4(t4) {}
98 EcRecommendedParameters(
const OID &oid,
unsigned int t0,
unsigned int t1,
unsigned int t2,
unsigned int t3,
unsigned int t4,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
99 : oid(oid), a(a), b(b), g(g), n(n), h(h), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4) {}
106 if (t2 == 233 && t3 == 74 && t4 == 0)
107 return new EC2N(
GF2NT233(233, 74, 0), EC2N::FieldElement(ssA, (
size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (
size_t)ssB.MaxRetrievable()));
109 return new EC2N(
GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (
size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (
size_t)ssB.MaxRetrievable()));
112 return new EC2N(
GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (
size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (
size_t)ssB.MaxRetrievable()));
116 const char *a, *b, *g, *n;
117 unsigned int h, t0, t1, t2, t3, t4;
120 template<>
struct EcRecommendedParameters<
ECP>
122 EcRecommendedParameters(
const OID &oid,
const char *p,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
123 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
133 const char *p, *a, *b, *g, *n;
139 template <
typename T>
140 inline bool operator()(
const EcRecommendedParameters<T>& a,
const OID& b) {
return a.oid < b;}
141 template <
typename T>
142 inline bool operator()(
const OID& a,
const EcRecommendedParameters<T>& b) {
return a < b.oid;}
143 template <
typename T>
144 inline bool operator()(
const EcRecommendedParameters<T>& a,
const EcRecommendedParameters<T>& b) {
return a.oid < b.oid;}
147 static void GetRecommendedParameters(
const EcRecommendedParameters<EC2N> *&begin,
const EcRecommendedParameters<EC2N> *&end)
150 static const EcRecommendedParameters<EC2N> rec[] = {
151 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
153 "000000000000000000000000000000000000000001",
154 "000000000000000000000000000000000000000001",
155 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
156 "04000000000000000000020108A2E0CC0D99F8A5EF",
158 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
160 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
161 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
162 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
163 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
165 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
167 "000000000000000000000000000000000000000000000000000000000000",
168 "000000000000000000000000000000000000000000000000000000000001",
169 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
170 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
172 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
174 "003088250CA6E7C7FE649CE85820F7",
175 "00E8BEE4D3E2260744188BE0E9C723",
176 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
177 "0100000000000000D9CCEC8A39E56F",
179 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
181 "00689918DBEC7E5A0DD6DFC0AA55C7",
182 "0095E9A9EC9B297BD4BF36E059184F",
183 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
184 "010000000000000108789B2496AF93",
186 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
188 "000000000000000000000000000000000000000001",
189 "020A601907B8C953CA1481EB10512F78744A3205FD",
190 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
191 "040000000000000000000292FE77E70C12A4234C33",
193 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
195 "000000000000000000000000000000000000000000000000000000000000000000000000",
196 "000000000000000000000000000000000000000000000000000000000000000000000001",
197 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
198 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
200 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
202 "000000000000000000000000000000000000000000000000000000000000000000000001",
203 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
204 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
205 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
207 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
209 "07A11B09A76B562144418FF3FF8C2570B8",
210 "0217C05610884B63B9C6C7291678F9D341",
211 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
212 "0400000000000000023123953A9464B54D",
214 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
216 "03E5A88919D7CAFCBF415F07C2176573B2",
217 "04B8266A46C55657AC734CE38F018F2192",
218 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
219 "0400000000000000016954A233049BA98F",
221 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
223 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
224 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
225 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
226 "01000000000000000000000000C7F34A778F443ACC920EBA49",
228 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
230 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
231 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
232 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
233 "010000000000000000000000015AAB561B005413CCD4EE99D5",
235 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
237 "000000000000000000000000000000000000000000000000000000000000",
238 "000000000000000000000000000000000000000000000000000000000001",
239 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
240 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
242 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
244 "000000000000000000000000000000000000000000000000000000000001",
245 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
246 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
247 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
249 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
251 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
252 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
253 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
254 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
256 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
258 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
259 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
260 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
261 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
263 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
265 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
266 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
267 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
268 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
270 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
272 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
273 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
274 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
275 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
279 end = rec +
sizeof(rec)/
sizeof(rec[0]);
283 static void GetRecommendedParameters(
const EcRecommendedParameters<ECP> *&begin,
const EcRecommendedParameters<ECP> *&end)
286 static const EcRecommendedParameters<ECP> rec[] = {
287 EcRecommendedParameters<ECP>(ASN1::sm2p256v1(),
288 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFF",
289 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFC",
290 "28E9FA9E 9D9F5E34 4D5A9E4B CF6509A7 F39789F5 15AB8F92 DDBCBD41 4D940E93",
291 "04" "32C4AE2C 1F198119 5F990446 6A39C994 8FE30BBF F2660BE1 715A4589 334C74C7"
292 "BC3736A2 F4F6779C 59BDCEE3 6B692153 D0A9877C C62A4740 02DF32E5 2139F0A0",
293 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF 7203DF6B 21C6052B 53BBF409 39D54123",
295 EcRecommendedParameters<ECP>(ASN1::sm2encrypt_recommendedParameters(),
296 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFF",
297 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFC",
298 "28E9FA9E 9D9F5E34 4D5A9E4B CF6509A7 F39789F5 15AB8F92 DDBCBD41 4D940E93",
299 "04" "32C4AE2C 1F198119 5F990446 6A39C994 8FE30BBF F2660BE1 715A4589 334C74C7"
300 "BC3736A2 F4F6779C 59BDCEE3 6B692153 D0A9877C C62A4740 02DF32E5 2139F0A0",
301 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF 7203DF6B 21C6052B 53BBF409 39D54123",
303 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
304 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
305 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
306 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
307 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
308 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
310 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
311 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
312 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
313 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
314 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
315 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
317 EcRecommendedParameters<ECP>(ASN1::brainpoolP160r1(),
318 "E95E4A5F737059DC60DFC7AD95B3D8139515620F",
319 "340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
320 "1E589A8595423412134FAA2DBDEC95C8D8675E58",
321 "04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
322 "E95E4A5F737059DC60DF5991D45029409E60FC09",
324 EcRecommendedParameters<ECP>(ASN1::brainpoolP192r1(),
325 "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
326 "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
327 "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
328 "04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
329 "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
331 EcRecommendedParameters<ECP>(ASN1::brainpoolP224r1(),
332 "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
333 "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
334 "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
335 "040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
336 "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
338 EcRecommendedParameters<ECP>(ASN1::brainpoolP256r1(),
339 "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
340 "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
341 "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
342 "048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
343 "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
345 EcRecommendedParameters<ECP>(ASN1::brainpoolP320r1(),
346 "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
347 "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
348 "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
349 "0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
350 "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
352 EcRecommendedParameters<ECP>(ASN1::brainpoolP384r1(),
353 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
354 "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
355 "04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11",
356 "041D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315",
357 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565",
359 EcRecommendedParameters<ECP>(ASN1::brainpoolP512r1(),
360 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3",
361 "7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA",
362 "3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723",
363 "0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892",
364 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069",
366 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
367 "DB7C2ABF62E35E668076BEAD208B",
368 "DB7C2ABF62E35E668076BEAD2088",
369 "659EF8BA043916EEDE8911702B22",
370 "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
371 "DB7C2ABF62E35E7628DFAC6561C5",
373 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
374 "DB7C2ABF62E35E668076BEAD208B",
375 "6127C24C05F38A0AAAF65C0EF02C",
376 "51DEF1815DB5ED74FCC34C85D709",
377 "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
378 "36DF0AAFD8B8D7597CA10520D04B",
380 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
381 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
382 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
383 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
384 "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
385 "0100000000000000000001F4C8F927AED3CA752257",
387 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
388 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
389 "0000000000000000000000000000000000000000",
390 "0000000000000000000000000000000000000007",
391 "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
392 "0100000000000000000001B8FA16DFAB9ACA16B6B3",
394 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
395 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
396 "0000000000000000000000000000000000000000000000000000000000000000",
397 "0000000000000000000000000000000000000000000000000000000000000007",
398 "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
399 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
401 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
402 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
403 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
404 "E87579C11079F43DD824993C2CEE5ED3",
405 "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
406 "FFFFFFFE0000000075A30D1B9038A115",
408 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
409 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
410 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
411 "5EEEFCA380D02919DC2C6558BB6D8A5D",
412 "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
413 "3FFFFFFF7FFFFFFFBE0024720613B5A3",
415 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
416 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
417 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
418 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
419 "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
420 "0100000000000000000000351EE786A818F3A1A16B",
422 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
423 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
424 "000000000000000000000000000000000000000000000000",
425 "000000000000000000000000000000000000000000000003",
426 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
427 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
429 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
430 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
431 "00000000000000000000000000000000000000000000000000000000",
432 "00000000000000000000000000000000000000000000000000000005",
433 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
434 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
436 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
437 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
438 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
439 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
440 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
441 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
443 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
444 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
445 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
446 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
447 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
448 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
450 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
451 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
452 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
453 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
454 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
455 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
459 end = rec +
sizeof(rec)/
sizeof(rec[0]);
464 const EcRecommendedParameters<EllipticCurve> *begin, *end;
465 GetRecommendedParameters(begin, end);
466 const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
467 return (it == end ?
OID() : it->oid);
472 const EcRecommendedParameters<EllipticCurve> *begin, *end;
473 GetRecommendedParameters(begin, end);
474 const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
475 if (it == end || it->oid != oid)
478 const EcRecommendedParameters<EllipticCurve> ¶m = *it;
481 this->m_groupPrecomputation.SetCurve(*ec);
485 bool result = GetCurve().DecodePoint(G, ssG, (
size_t)ssG.MaxRetrievable());
486 this->SetSubgroupGenerator(G);
492 m_n.Decode(ssN, (
size_t)ssN.MaxRetrievable());
504 this->ThrowIfTypeMismatch(name,
typeid(
OID), valueType);
505 *
reinterpret_cast<OID *
>(pValue) = m_oid;
509 return GetValueHelper<DL_GroupParameters<Element> >(
this, name, valueType, pValue).Assignable()
510 CRYPTOPP_GET_FUNCTION_ENTRY(
Curve);
525 source.GetRequiredParameter(
"DL_GroupParameters_EC<EC>",
Name::Curve(), ec);
530 Initialize(ec, G, n, k);
539 CRYPTOPP_UNUSED(rng);
544 throw NotImplemented(
"DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
560 BERDecodeUnsigned<word32>(seq, version,
INTEGER, 1, 1);
561 EllipticCurve ec(seq);
562 Point G = ec.BERDecodePoint(seq);
565 bool cofactorPresent = !seq.EndReached();
572 Initialize(ec, G, n, k);
579 if (m_encodeAsOID && !m_oid.Empty())
584 DEREncodeUnsigned<word32>(seq, 1);
585 GetCurve().DEREncode(seq);
586 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
599 Integer q = GetCurve().FieldSize();
601 m_k = (q+2*qSqrt+1)/m_n;
610 return ConvertToInteger(element.x);
616 bool pass = GetCurve().ValidateParameters(rng, level);
619 Integer q = GetCurve().FieldSize();
620 pass = pass && m_n!=q;
626 pass = pass && m_n>4*qSqrt;
630 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
632 pass = pass && CheckMOVCondition(q, m_n);
642 bool pass = !IsIdentity(g);
644 pass = pass && GetCurve().VerifyPoint(g);
655 if (level >= 2 && pass)
657 const Integer &q = GetSubgroupOrder();
658 Element gq = gpc ? gpc->
Exponentiate(this->GetGroupPrecomputation(), q) : this->ExponentiateElement(g, q);
659 pass = pass && IsIdentity(gq);
668 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
674 return GetCurve().Add(a, b);
680 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
686 return ASN1::id_ecPublicKey();
689 std::ostream&
operator<<(std::ostream& os,
const DL_GroupParameters_EC<ECP>::Element& obj)
691 std::ostringstream oss;
692 oss <<
"(" << std::hex << obj.x <<
", " << std::hex << obj.y <<
")";
693 return os << oss.str();
701 CRYPTOPP_UNUSED(parametersPresent);
703 typename EC::Point P;
704 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
706 this->SetPublicElement(P);
712 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
720 CRYPTOPP_UNUSED(size);
723 BERDecodeUnsigned<word32>(seq, version,
INTEGER, 1, 1);
726 if (!dec.IsDefiniteLength())
729 x.Decode(dec, (
size_t)dec.RemainingLength());
736 this->AccessGroupParameters().BERDecode(parameters);
737 parameters.MessageEnd();
739 if (!seq.EndReached())
743 unsigned int unusedBits;
746 publicKey.MessageEnd();
748 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
753 this->SetPrivateExponent(x);
760 DEREncodeUnsigned<word32>(privateKey, 1);
763 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
764 privateKey.MessageEnd();
772 CRYPTOPP_UNUSED(parametersPresent);
774 typename EC::Point P;
775 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
777 this->SetPublicElement(P);
783 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
791 CRYPTOPP_UNUSED(size);
794 BERDecodeUnsigned<word32>(seq, version,
INTEGER, 1, 1);
797 if (!dec.IsDefiniteLength())
800 x.Decode(dec, (
size_t)dec.RemainingLength());
807 this->AccessGroupParameters().BERDecode(parameters);
808 parameters.MessageEnd();
810 if (!seq.EndReached())
814 unsigned int unusedBits;
817 publicKey.MessageEnd();
819 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
824 this->SetPrivateExponent(x);
831 DEREncodeUnsigned<word32>(privateKey, 1);
834 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
835 privateKey.MessageEnd();