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eccrypto.cpp

00001 #include "pch.h" 00002 #include "eccrypto.h" 00003 #include "ec2n.h" 00004 #include "ecp.h" 00005 #include "nbtheory.h" 00006 #include "oids.h" 00007 #include "hex.h" 00008 #include "argnames.h" 00009 00010 NAMESPACE_BEGIN(CryptoPP) 00011 00012 static void ECDSA_TestInstantiations() 00013 { 00014 ECDSA<EC2N>::Signer t1; 00015 ECDSA<EC2N>::Verifier t2(t1); 00016 ECNR<ECP>::Signer t3; 00017 ECNR<ECP>::Verifier t4(t3); 00018 ECIES<ECP>::Encryptor t5; 00019 ECIES<EC2N>::Decryptor t6; 00020 ECDH<ECP>::Domain t7; 00021 ECMQV<ECP>::Domain t8; 00022 } 00023 00024 // VC60 workaround: complains when these functions are put into an anonymous namespace 00025 static Integer ConvertToInteger(const PolynomialMod2 &x) 00026 { 00027 unsigned int l = x.ByteCount(); 00028 SecByteBlock temp(l); 00029 x.Encode(temp, l); 00030 return Integer(temp, l); 00031 } 00032 00033 static inline Integer ConvertToInteger(const Integer &x) 00034 { 00035 return x; 00036 } 00037 00038 static bool CheckMOVCondition(const Integer &q, const Integer &r) 00039 { 00040 Integer t=1; 00041 unsigned int n=q.BitCount(), m=r.BitCount(); 00042 00043 for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n) 00044 { 00045 t = (t*q)%r; 00046 if (t == 1) 00047 return false; 00048 } 00049 return true; 00050 } 00051 00052 // ****************************************************************** 00053 00054 template <class T> struct EcRecommendedParameters; 00055 00056 template<> struct EcRecommendedParameters<EC2N> 00057 { 00058 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) 00059 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {} 00060 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) 00061 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {} 00062 EC2N *NewEC() const 00063 { 00064 StringSource ssA(a, true, new HexDecoder); 00065 StringSource ssB(b, true, new HexDecoder); 00066 if (t0 == 0) 00067 return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable())); 00068 else 00069 return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, ssA.MaxRetrievable()), EC2N::FieldElement(ssB, ssB.MaxRetrievable())); 00070 }; 00071 00072 OID oid; 00073 unsigned int t0, t1, t2, t3, t4; 00074 const char *a, *b, *g, *n; 00075 unsigned int h; 00076 }; 00077 00078 template<> struct EcRecommendedParameters<ECP> 00079 { 00080 EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h) 00081 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {} 00082 ECP *NewEC() const 00083 { 00084 StringSource ssP(p, true, new HexDecoder); 00085 StringSource ssA(a, true, new HexDecoder); 00086 StringSource ssB(b, true, new HexDecoder); 00087 return new ECP(Integer(ssP, ssP.MaxRetrievable()), ECP::FieldElement(ssA, ssA.MaxRetrievable()), ECP::FieldElement(ssB, ssB.MaxRetrievable())); 00088 }; 00089 00090 OID oid; 00091 const char *p; 00092 const char *a, *b, *g, *n; 00093 unsigned int h; 00094 }; 00095 00096 struct OIDLessThan 00097 { 00098 template <typename T> 00099 inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;} 00100 template <typename T> 00101 inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;} 00102 }; 00103 00104 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end) 00105 { 00106 // this array must be sorted by OID 00107 static const EcRecommendedParameters<EC2N> rec[] = { 00108 EcRecommendedParameters<EC2N>(ASN1::sect163k1(), 00109 163, 7, 6, 3, 0, 00110 "000000000000000000000000000000000000000001", 00111 "000000000000000000000000000000000000000001", 00112 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9", 00113 "04000000000000000000020108A2E0CC0D99F8A5EF", 00114 2), 00115 EcRecommendedParameters<EC2N>(ASN1::sect163r1(), 00116 163, 7, 6, 3, 0, 00117 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", 00118 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", 00119 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883", 00120 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 00121 2), 00122 EcRecommendedParameters<EC2N>(ASN1::sect239k1(), 00123 239, 158, 0, 00124 "000000000000000000000000000000000000000000000000000000000000", 00125 "000000000000000000000000000000000000000000000000000000000001", 00126 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", 00127 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 00128 4), 00129 EcRecommendedParameters<EC2N>(ASN1::sect113r1(), 00130 113, 9, 0, 00131 "003088250CA6E7C7FE649CE85820F7", 00132 "00E8BEE4D3E2260744188BE0E9C723", 00133 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886", 00134 "0100000000000000D9CCEC8A39E56F", 00135 2), 00136 EcRecommendedParameters<EC2N>(ASN1::sect113r2(), 00137 113, 9, 0, 00138 "00689918DBEC7E5A0DD6DFC0AA55C7", 00139 "0095E9A9EC9B297BD4BF36E059184F", 00140 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D", 00141 "010000000000000108789B2496AF93", 00142 2), 00143 EcRecommendedParameters<EC2N>(ASN1::sect163r2(), 00144 163, 7, 6, 3, 0, 00145 "000000000000000000000000000000000000000001", 00146 "020A601907B8C953CA1481EB10512F78744A3205FD", 00147 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", 00148 "040000000000000000000292FE77E70C12A4234C33", 00149 2), 00150 EcRecommendedParameters<EC2N>(ASN1::sect283k1(), 00151 283, 12, 7, 5, 0, 00152 "000000000000000000000000000000000000000000000000000000000000000000000000", 00153 "000000000000000000000000000000000000000000000000000000000000000000000001", 00154 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", 00155 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 00156 4), 00157 EcRecommendedParameters<EC2N>(ASN1::sect283r1(), 00158 283, 12, 7, 5, 0, 00159 "000000000000000000000000000000000000000000000000000000000000000000000001", 00160 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", 00161 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", 00162 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 00163 2), 00164 EcRecommendedParameters<EC2N>(ASN1::sect131r1(), 00165 131, 8, 3, 2, 0, 00166 "07A11B09A76B562144418FF3FF8C2570B8", 00167 "0217C05610884B63B9C6C7291678F9D341", 00168 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150", 00169 "0400000000000000023123953A9464B54D", 00170 2), 00171 EcRecommendedParameters<EC2N>(ASN1::sect131r2(), 00172 131, 8, 3, 2, 0, 00173 "03E5A88919D7CAFCBF415F07C2176573B2", 00174 "04B8266A46C55657AC734CE38F018F2192", 00175 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F", 00176 "0400000000000000016954A233049BA98F", 00177 2), 00178 EcRecommendedParameters<EC2N>(ASN1::sect193r1(), 00179 193, 15, 0, 00180 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", 00181 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", 00182 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", 00183 "01000000000000000000000000C7F34A778F443ACC920EBA49", 00184 2), 00185 EcRecommendedParameters<EC2N>(ASN1::sect193r2(), 00186 193, 15, 0, 00187 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", 00188 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", 00189 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", 00190 "010000000000000000000000015AAB561B005413CCD4EE99D5", 00191 2), 00192 EcRecommendedParameters<EC2N>(ASN1::sect233k1(), 00193 233, 74, 0, 00194 "000000000000000000000000000000000000000000000000000000000000", 00195 "000000000000000000000000000000000000000000000000000000000001", 00196 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", 00197 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 00198 4), 00199 EcRecommendedParameters<EC2N>(ASN1::sect233r1(), 00200 233, 74, 0, 00201 "000000000000000000000000000000000000000000000000000000000001", 00202 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", 00203 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", 00204 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 00205 2), 00206 EcRecommendedParameters<EC2N>(ASN1::sect409k1(), 00207 409, 87, 0, 00208 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 00209 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 00210 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", 00211 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 00212 4), 00213 EcRecommendedParameters<EC2N>(ASN1::sect409r1(), 00214 409, 87, 0, 00215 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 00216 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", 00217 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", 00218 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 00219 2), 00220 EcRecommendedParameters<EC2N>(ASN1::sect571k1(), 00221 571, 10, 5, 2, 0, 00222 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", 00223 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 00224 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", 00225 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 00226 4), 00227 EcRecommendedParameters<EC2N>(ASN1::sect571r1(), 00228 571, 10, 5, 2, 0, 00229 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", 00230 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", 00231 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", 00232 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 00233 2), 00234 }; 00235 begin = rec; 00236 end = rec + sizeof(rec)/sizeof(rec[0]); 00237 } 00238 00239 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end) 00240 { 00241 // this array must be sorted by OID 00242 static const EcRecommendedParameters<ECP> rec[] = { 00243 EcRecommendedParameters<ECP>(ASN1::secp192r1(), 00244 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", 00245 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", 00246 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", 00247 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811", 00248 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", 00249 1), 00250 EcRecommendedParameters<ECP>(ASN1::secp256r1(), 00251 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", 00252 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", 00253 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", 00254 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5", 00255 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", 00256 1), 00257 EcRecommendedParameters<ECP>(ASN1::secp112r1(), 00258 "DB7C2ABF62E35E668076BEAD208B", 00259 "DB7C2ABF62E35E668076BEAD2088", 00260 "659EF8BA043916EEDE8911702B22", 00261 "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500", 00262 "DB7C2ABF62E35E7628DFAC6561C5", 00263 1), 00264 EcRecommendedParameters<ECP>(ASN1::secp112r2(), 00265 "DB7C2ABF62E35E668076BEAD208B", 00266 "6127C24C05F38A0AAAF65C0EF02C", 00267 "51DEF1815DB5ED74FCC34C85D709", 00268 "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97", 00269 "36DF0AAFD8B8D7597CA10520D04B", 00270 4), 00271 EcRecommendedParameters<ECP>(ASN1::secp160r1(), 00272 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", 00273 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", 00274 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", 00275 "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32", 00276 "0100000000000000000001F4C8F927AED3CA752257", 00277 1), 00278 EcRecommendedParameters<ECP>(ASN1::secp160k1(), 00279 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 00280 "0000000000000000000000000000000000000000", 00281 "0000000000000000000000000000000000000007", 00282 "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE", 00283 "0100000000000000000001B8FA16DFAB9ACA16B6B3", 00284 1), 00285 EcRecommendedParameters<ECP>(ASN1::secp256k1(), 00286 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", 00287 "0000000000000000000000000000000000000000000000000000000000000000", 00288 "0000000000000000000000000000000000000000000000000000000000000007", 00289 "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", 00290 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", 00291 1), 00292 EcRecommendedParameters<ECP>(ASN1::secp128r1(), 00293 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 00294 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", 00295 "E87579C11079F43DD824993C2CEE5ED3", 00296 "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83", 00297 "FFFFFFFE0000000075A30D1B9038A115", 00298 1), 00299 EcRecommendedParameters<ECP>(ASN1::secp128r2(), 00300 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", 00301 "D6031998D1B3BBFEBF59CC9BBFF9AEE1", 00302 "5EEEFCA380D02919DC2C6558BB6D8A5D", 00303 "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44", 00304 "3FFFFFFF7FFFFFFFBE0024720613B5A3", 00305 4), 00306 EcRecommendedParameters<ECP>(ASN1::secp160r2(), 00307 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 00308 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", 00309 "B4E134D3FB59EB8BAB57274904664D5AF50388BA", 00310 "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E", 00311 "0100000000000000000000351EE786A818F3A1A16B", 00312 1), 00313 EcRecommendedParameters<ECP>(ASN1::secp192k1(), 00314 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", 00315 "000000000000000000000000000000000000000000000000", 00316 "000000000000000000000000000000000000000000000003", 00317 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D", 00318 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", 00319 1), 00320 EcRecommendedParameters<ECP>(ASN1::secp224k1(), 00321 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", 00322 "00000000000000000000000000000000000000000000000000000000", 00323 "00000000000000000000000000000000000000000000000000000005", 00324 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5", 00325 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", 00326 1), 00327 EcRecommendedParameters<ECP>(ASN1::secp224r1(), 00328 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", 00329 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", 00330 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", 00331 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", 00332 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 00333 1), 00334 EcRecommendedParameters<ECP>(ASN1::secp384r1(), 00335 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", 00336 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", 00337 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", 00338 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F", 00339 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973", 00340 1), 00341 EcRecommendedParameters<ECP>(ASN1::secp521r1(), 00342 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 00343 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", 00344 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", 00345 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650", 00346 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", 00347 1), 00348 }; 00349 begin = rec; 00350 end = rec + sizeof(rec)/sizeof(rec[0]); 00351 } 00352 00353 template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid) 00354 { 00355 const EcRecommendedParameters<EllipticCurve> *begin, *end; 00356 GetRecommendedParameters(begin, end); 00357 const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan()); 00358 return (it == end ? OID() : it->oid); 00359 } 00360 00361 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid) 00362 { 00363 const EcRecommendedParameters<EllipticCurve> *begin, *end; 00364 GetRecommendedParameters(begin, end); 00365 const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan()); 00366 if (it == end || it->oid != oid) 00367 throw UnknownOID(); 00368 00369 const EcRecommendedParameters<EllipticCurve> &param = *it; 00370 m_oid = oid; 00371 std::auto_ptr<EllipticCurve> ec(param.NewEC()); 00372 m_groupPrecomputation.SetCurve(*ec); 00373 00374 StringSource ssG(param.g, true, new HexDecoder); 00375 Element G; 00376 bool result = GetCurve().DecodePoint(G, ssG, ssG.MaxRetrievable()); 00377 SetSubgroupGenerator(G); 00378 assert(result); 00379 00380 StringSource ssN(param.n, true, new HexDecoder); 00381 m_n.Decode(ssN, ssN.MaxRetrievable()); 00382 m_k = param.h; 00383 } 00384 00385 template <class EC> 00386 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const 00387 { 00388 if (strcmp(name, Name::GroupOID()) == 0) 00389 { 00390 if (m_oid.m_values.empty()) 00391 return false; 00392 00393 ThrowIfTypeMismatch(name, typeid(OID), valueType); 00394 *reinterpret_cast<OID *>(pValue) = m_oid; 00395 return true; 00396 } 00397 else 00398 return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable() 00399 CRYPTOPP_GET_FUNCTION_ENTRY(Curve); 00400 } 00401 00402 template <class EC> 00403 void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source) 00404 { 00405 OID oid; 00406 if (source.GetValue(Name::GroupOID(), oid)) 00407 Initialize(oid); 00408 else 00409 { 00410 EllipticCurve ec; 00411 Point G; 00412 Integer n; 00413 00414 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec); 00415 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G); 00416 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n); 00417 Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero()); 00418 00419 Initialize(ec, G, n, k); 00420 } 00421 } 00422 00423 template <class EC> 00424 void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg) 00425 { 00426 try 00427 { 00428 AssignFrom(alg); 00429 } 00430 catch (InvalidArgument &) 00431 { 00432 throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet"); 00433 } 00434 } 00435 00436 template <class EC> 00437 void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt) 00438 { 00439 byte b; 00440 if (!bt.Peek(b)) 00441 BERDecodeError(); 00442 if (b == OBJECT_IDENTIFIER) 00443 Initialize(OID(bt)); 00444 else 00445 { 00446 BERSequenceDecoder seq(bt); 00447 word32 version; 00448 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version 00449 EllipticCurve ec(seq); 00450 Point G = ec.BERDecodePoint(seq); 00451 Integer n(seq); 00452 Integer k; 00453 bool cofactorPresent = !seq.EndReached(); 00454 if (cofactorPresent) 00455 k.BERDecode(seq); 00456 else 00457 k = Integer::Zero(); 00458 seq.MessageEnd(); 00459 00460 Initialize(ec, G, n, k); 00461 } 00462 } 00463 00464 template <class EC> 00465 void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const 00466 { 00467 if (m_encodeAsOID && !m_oid.m_values.empty()) 00468 m_oid.DEREncode(bt); 00469 else 00470 { 00471 DERSequenceEncoder seq(bt); 00472 DEREncodeUnsigned<word32>(seq, 1); // version 00473 GetCurve().DEREncode(seq); 00474 GetCurve().DEREncodePoint(seq, GetSubgroupGenerator(), m_compress); 00475 m_n.DEREncode(seq); 00476 if (m_k.NotZero()) 00477 m_k.DEREncode(seq); 00478 seq.MessageEnd(); 00479 } 00480 } 00481 00482 template <class EC> 00483 Integer DL_GroupParameters_EC<EC>::GetCofactor() const 00484 { 00485 if (!m_k) 00486 { 00487 Integer q = GetCurve().FieldSize(); 00488 Integer qSqrt = q.SquareRoot(); 00489 m_k = (q+2*qSqrt+1)/m_n; 00490 } 00491 00492 return m_k; 00493 } 00494 00495 template <class EC> 00496 Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const 00497 { 00498 return ConvertToInteger(element.x); 00499 }; 00500 00501 template <class EC> 00502 bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const 00503 { 00504 bool pass = GetCurve().ValidateParameters(rng, level); 00505 00506 Integer q = GetCurve().FieldSize(); 00507 pass = pass && m_n!=q; 00508 00509 if (level >= 2) 00510 { 00511 Integer qSqrt = q.SquareRoot(); 00512 pass = pass && m_n>4*qSqrt; 00513 pass = pass && VerifyPrime(rng, m_n, level-2); 00514 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n); 00515 pass = pass && CheckMOVCondition(q, m_n); 00516 } 00517 00518 return pass; 00519 } 00520 00521 template <class EC> 00522 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const 00523 { 00524 bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g); 00525 if (level >= 1) 00526 { 00527 if (gpc) 00528 pass = pass && gpc->Exponentiate(GetGroupPrecomputation(), Integer::One()) == g; 00529 } 00530 if (level >= 2) 00531 { 00532 const Integer &q = GetSubgroupOrder(); 00533 pass = pass && IsIdentity(gpc ? gpc->Exponentiate(GetGroupPrecomputation(), q) : ExponentiateElement(g, q)); 00534 } 00535 return pass; 00536 } 00537 00538 template <class EC> 00539 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const 00540 { 00541 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount); 00542 } 00543 00544 template <class EC> 00545 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const 00546 { 00547 return GetCurve().Add(a, b); 00548 } 00549 00550 template <class EC> 00551 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const 00552 { 00553 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2); 00554 } 00555 00556 template <class EC> 00557 OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const 00558 { 00559 return ASN1::id_ecPublicKey(); 00560 } 00561 00562 // ****************************************************************** 00563 00564 template <class EC> 00565 void DL_PublicKey_EC<EC>::BERDecodeKey2(BufferedTransformation &bt, bool parametersPresent, unsigned int size) 00566 { 00567 typename EC::Point P; 00568 if (!GetGroupParameters().GetCurve().DecodePoint(P, bt, size)) 00569 BERDecodeError(); 00570 SetPublicElement(P); 00571 } 00572 00573 template <class EC> 00574 void DL_PublicKey_EC<EC>::DEREncodeKey(BufferedTransformation &bt) const 00575 { 00576 GetGroupParameters().GetCurve().EncodePoint(bt, GetPublicElement(), GetGroupParameters().GetPointCompression()); 00577 } 00578 00579 // ****************************************************************** 00580 00581 template <class EC> 00582 void DL_PrivateKey_EC<EC>::BERDecodeKey2(BufferedTransformation &bt, bool parametersPresent, unsigned int size) 00583 { 00584 BERSequenceDecoder seq(bt); 00585 word32 version; 00586 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version 00587 00588 BERGeneralDecoder dec(seq, OCTET_STRING); 00589 if (!dec.IsDefiniteLength()) 00590 BERDecodeError(); 00591 Integer x; 00592 x.Decode(dec, dec.RemainingLength()); 00593 dec.MessageEnd(); 00594 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0)) 00595 BERDecodeError(); 00596 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0)) 00597 { 00598 BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0); 00599 AccessGroupParameters().BERDecode(parameters); 00600 parameters.MessageEnd(); 00601 } 00602 if (!seq.EndReached()) 00603 { 00604 // skip over the public element 00605 SecByteBlock subjectPublicKey; 00606 unsigned int unusedBits; 00607 BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1); 00608 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits); 00609 publicKey.MessageEnd(); 00610 Element Q; 00611 if (!(unusedBits == 0 && GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size()))) 00612 BERDecodeError(); 00613 } 00614 seq.MessageEnd(); 00615 00616 SetPrivateExponent(x); 00617 } 00618 00619 template <class EC> 00620 void DL_PrivateKey_EC<EC>::DEREncodeKey(BufferedTransformation &bt) const 00621 { 00622 DERSequenceEncoder privateKey(bt); 00623 DEREncodeUnsigned<word32>(privateKey, 1); // version 00624 // SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve 00625 // this will be changed to order of base point in a future version 00626 GetPrivateExponent().DEREncodeAsOctetString(privateKey, GetGroupParameters().GetSubgroupOrder().ByteCount()); 00627 privateKey.MessageEnd(); 00628 } 00629 00630 // ****************************************************************** 00631 00632 template class DL_GroupParameters_EC<EC2N>; 00633 template class DL_GroupParameters_EC<ECP>; 00634 template class DL_PublicKey_EC<EC2N>; 00635 template class DL_PublicKey_EC<ECP>; 00636 template class DL_PrivateKey_EC<EC2N>; 00637 template class DL_PrivateKey_EC<ECP>; 00638 00639 NAMESPACE_END

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