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
32 #ifndef CRYPTOPP_MANUALLY_INSTANTIATE_TEMPLATES
33 extern const char ECCRYPTO_FNAME[] = __FILE__;
39 #if defined(CRYPTOPP_DEBUG) && !defined(CRYPTOPP_DOXYGEN_PROCESSING)
40 static void ECDSA_TestInstantiations()
54 ANONYMOUS_NAMESPACE_BEGIN
57 unsigned int l = x.ByteCount();
85 ANONYMOUS_NAMESPACE_END
93 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)
94 : oid(oid), a(a), b(b), g(g), n(n), h(h), t0(0), t1(0), t2(t2), t3(t3), t4(t4) {}
95 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)
96 : oid(oid), a(a), b(b), g(g), n(n), h(h), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4) {}
103 if (t2 == 233 && t3 == 74 && t4 == 0)
113 const char *a, *b, *g, *n;
114 unsigned int h, t0, t1, t2, t3, t4;
119 EcRecommendedParameters(
const OID &oid,
const char *p,
const char *a,
const char *b,
const char *g,
const char *n,
unsigned int h)
120 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
130 const char *p, *a, *b, *g, *n;
136 template <
typename T>
138 template <
typename T>
140 template <
typename T>
150 "000000000000000000000000000000000000000001",
151 "000000000000000000000000000000000000000001",
152 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
153 "04000000000000000000020108A2E0CC0D99F8A5EF",
157 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
158 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
159 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
160 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
164 "000000000000000000000000000000000000000000000000000000000000",
165 "000000000000000000000000000000000000000000000000000000000001",
166 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
167 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
171 "003088250CA6E7C7FE649CE85820F7",
172 "00E8BEE4D3E2260744188BE0E9C723",
173 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
174 "0100000000000000D9CCEC8A39E56F",
178 "00689918DBEC7E5A0DD6DFC0AA55C7",
179 "0095E9A9EC9B297BD4BF36E059184F",
180 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
181 "010000000000000108789B2496AF93",
185 "000000000000000000000000000000000000000001",
186 "020A601907B8C953CA1481EB10512F78744A3205FD",
187 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
188 "040000000000000000000292FE77E70C12A4234C33",
192 "000000000000000000000000000000000000000000000000000000000000000000000000",
193 "000000000000000000000000000000000000000000000000000000000000000000000001",
194 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
195 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
199 "000000000000000000000000000000000000000000000000000000000000000000000001",
200 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
201 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
202 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
206 "07A11B09A76B562144418FF3FF8C2570B8",
207 "0217C05610884B63B9C6C7291678F9D341",
208 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
209 "0400000000000000023123953A9464B54D",
213 "03E5A88919D7CAFCBF415F07C2176573B2",
214 "04B8266A46C55657AC734CE38F018F2192",
215 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
216 "0400000000000000016954A233049BA98F",
220 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
221 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
222 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
223 "01000000000000000000000000C7F34A778F443ACC920EBA49",
227 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
228 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
229 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
230 "010000000000000000000000015AAB561B005413CCD4EE99D5",
234 "000000000000000000000000000000000000000000000000000000000000",
235 "000000000000000000000000000000000000000000000000000000000001",
236 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
237 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
241 "000000000000000000000000000000000000000000000000000000000001",
242 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
243 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
244 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
248 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
249 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
250 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
251 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
255 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
256 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
257 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
258 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
262 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
263 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
264 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
265 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
269 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
270 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
271 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
272 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
276 end = rec +
sizeof(rec)/
sizeof(rec[0]);
285 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFF",
286 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFC",
287 "28E9FA9E 9D9F5E34 4D5A9E4B CF6509A7 F39789F5 15AB8F92 DDBCBD41 4D940E93",
288 "04" "32C4AE2C 1F198119 5F990446 6A39C994 8FE30BBF F2660BE1 715A4589 334C74C7"
289 "BC3736A2 F4F6779C 59BDCEE3 6B692153 D0A9877C C62A4740 02DF32E5 2139F0A0",
290 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF 7203DF6B 21C6052B 53BBF409 39D54123",
293 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFF",
294 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFC",
295 "28E9FA9E 9D9F5E34 4D5A9E4B CF6509A7 F39789F5 15AB8F92 DDBCBD41 4D940E93",
296 "04" "32C4AE2C 1F198119 5F990446 6A39C994 8FE30BBF F2660BE1 715A4589 334C74C7"
297 "BC3736A2 F4F6779C 59BDCEE3 6B692153 D0A9877C C62A4740 02DF32E5 2139F0A0",
298 "FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF 7203DF6B 21C6052B 53BBF409 39D54123",
301 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
302 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
303 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
304 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
305 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
308 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
309 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
310 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
311 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
312 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
315 "E95E4A5F737059DC60DFC7AD95B3D8139515620F",
316 "340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
317 "1E589A8595423412134FAA2DBDEC95C8D8675E58",
318 "04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
319 "E95E4A5F737059DC60DF5991D45029409E60FC09",
322 "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
323 "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
324 "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
325 "04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
326 "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
329 "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
330 "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
331 "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
332 "040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
333 "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
336 "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
337 "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
338 "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
339 "048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
340 "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
343 "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
344 "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
345 "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
346 "0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
347 "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
350 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
351 "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
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375 "36DF0AAFD8B8D7597CA10520D04B",
378 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
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385 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
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387 "0000000000000000000000000000000000000007",
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410 "3FFFFFFF7FFFFFFFBE0024720613B5A3",
413 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
414 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
415 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
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421 "000000000000000000000000000000000000000000000000",
422 "000000000000000000000000000000000000000000000003",
423 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
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427 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
428 "00000000000000000000000000000000000000000000000000000000",
429 "00000000000000000000000000000000000000000000000000000005",
430 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
431 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
434 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
435 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
436 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
437 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
438 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
441 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
442 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
443 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
444 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
445 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
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449 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
450 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
451 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
452 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
456 end = rec +
sizeof(rec)/
sizeof(rec[0]);
462 GetRecommendedParameters(begin, end);
464 return (it == end ?
OID() : it->oid);
470 GetRecommendedParameters(begin, end);
472 if (it == end || it->oid != oid)
478 this->m_groupPrecomputation.SetCurve(*ec);
482 bool result = GetCurve().DecodePoint(G, ssG, (
size_t)ssG.
MaxRetrievable());
483 this->SetSubgroupGenerator(G);
496 if (strcmp(name, Name::GroupOID()) == 0)
501 this->ThrowIfTypeMismatch(name,
typeid(
OID), valueType);
502 *
reinterpret_cast<OID *
>(pValue) = m_oid;
506 return GetValueHelper<DL_GroupParameters<Element> >(
this, name, valueType, pValue).Assignable()
507 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
514 if (source.
GetValue(Name::GroupOID(), oid))
527 Initialize(ec, G, n, k);
536 CRYPTOPP_UNUSED(rng);
541 throw NotImplemented(
"DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
551 if (b == OBJECT_IDENTIFIER)
557 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
558 EllipticCurve ec(seq);
559 Point G = ec.BERDecodePoint(seq);
562 bool cofactorPresent = !seq.EndReached();
569 Initialize(ec, G, n, k);
576 if (m_encodeAsOID && !m_oid.Empty())
581 DEREncodeUnsigned<word32>(seq, 1);
582 GetCurve().DEREncode(seq);
583 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
596 Integer q = GetCurve().FieldSize();
598 m_k = (q+2*qSqrt+1)/m_n;
607 return ConvertToInteger(element.x);
613 bool pass = GetCurve().ValidateParameters(rng, level);
616 Integer q = GetCurve().FieldSize();
617 pass = pass && m_n!=q;
623 pass = pass && m_n>4*qSqrt;
627 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
629 pass = pass && CheckMOVCondition(q, m_n);
639 bool pass = !IsIdentity(g);
641 pass = pass && GetCurve().VerifyPoint(g);
652 if (level >= 2 && pass)
654 const Integer &q = GetSubgroupOrder();
655 Element gq = gpc ? gpc->
Exponentiate(this->GetGroupPrecomputation(), q) : this->ExponentiateElement(g, q);
656 pass = pass && IsIdentity(gq);
665 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
671 return GetCurve().Add(a, b);
677 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
683 return ASN1::id_ecPublicKey();
691 CRYPTOPP_UNUSED(parametersPresent);
693 typename EC::Point P;
694 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
696 this->SetPublicElement(P);
702 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
710 CRYPTOPP_UNUSED(size);
713 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
716 if (!dec.IsDefiniteLength())
719 x.Decode(dec, (
size_t)dec.RemainingLength());
721 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
723 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
726 this->AccessGroupParameters().BERDecode(parameters);
727 parameters.MessageEnd();
729 if (!seq.EndReached())
733 unsigned int unusedBits;
736 publicKey.MessageEnd();
738 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
743 this->SetPrivateExponent(x);
750 DEREncodeUnsigned<word32>(privateKey, 1);
753 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
754 privateKey.MessageEnd();
762 CRYPTOPP_UNUSED(parametersPresent);
764 typename EC::Point P;
765 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
767 this->SetPublicElement(P);
773 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
781 CRYPTOPP_UNUSED(size);
784 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
787 if (!dec.IsDefiniteLength())
790 x.Decode(dec, (
size_t)dec.RemainingLength());
792 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
794 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
797 this->AccessGroupParameters().BERDecode(parameters);
798 parameters.MessageEnd();
800 if (!seq.EndReached())
804 unsigned int unusedBits;
807 publicKey.MessageEnd();
809 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.
size())))
814 this->SetPrivateExponent(x);
821 DEREncodeUnsigned<word32>(privateKey, 1);
824 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
825 privateKey.MessageEnd();