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
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
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
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> ¶m = *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);
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);
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);
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
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);
00624
00625
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