00001
00002
00003 #include "pch.h"
00004
00005
00006 #if !defined(__SUNPRO_CC) || defined(CRYPTOPP_MANUALLY_INSTANTIATE_TEMPLATES)
00007
00008 #ifndef CRYPTOPP_IMPORTS
00009
00010 #include "eccrypto.h"
00011 #include "nbtheory.h"
00012 #include "oids.h"
00013 #include "hex.h"
00014 #include "argnames.h"
00015 #include "ec2n.h"
00016
00017 NAMESPACE_BEGIN(CryptoPP)
00018
00019 #if 0
00020 static void ECDSA_TestInstantiations()
00021 {
00022 ECDSA<EC2N>::Signer t1;
00023 ECDSA<EC2N>::Verifier t2(t1);
00024 ECNR<ECP>::Signer t3;
00025 ECNR<ECP>::Verifier t4(t3);
00026 ECIES<ECP>::Encryptor t5;
00027 ECIES<EC2N>::Decryptor t6;
00028 ECDH<ECP>::Domain t7;
00029 ECMQV<ECP>::Domain t8;
00030 }
00031 #endif
00032
00033
00034 static Integer ConvertToInteger(const PolynomialMod2 &x)
00035 {
00036 unsigned int l = x.ByteCount();
00037 SecByteBlock temp(l);
00038 x.Encode(temp, l);
00039 return Integer(temp, l);
00040 }
00041
00042 static inline Integer ConvertToInteger(const Integer &x)
00043 {
00044 return x;
00045 }
00046
00047 static bool CheckMOVCondition(const Integer &q, const Integer &r)
00048 {
00049
00050 Integer t = 1;
00051 unsigned int n = q.IsEven() ? 1 : q.BitCount(), m = r.BitCount();
00052
00053 for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00054 {
00055 if (q.IsEven())
00056 t = (t+t)%r;
00057 else
00058 t = (t*q)%r;
00059 if (t == 1)
00060 return false;
00061 }
00062 return true;
00063 }
00064
00065
00066
00067 template <class T> struct EcRecommendedParameters;
00068
00069 template<> struct EcRecommendedParameters<EC2N>
00070 {
00071 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)
00072 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00073 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)
00074 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00075 EC2N *NewEC() const
00076 {
00077 StringSource ssA(a, true, new HexDecoder);
00078 StringSource ssB(b, true, new HexDecoder);
00079 if (t0 == 0)
00080 return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00081 else
00082 return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00083 };
00084
00085 OID oid;
00086 unsigned int t0, t1, t2, t3, t4;
00087 const char *a, *b, *g, *n;
00088 unsigned int h;
00089 };
00090
00091 template<> struct EcRecommendedParameters<ECP>
00092 {
00093 EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
00094 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00095 ECP *NewEC() const
00096 {
00097 StringSource ssP(p, true, new HexDecoder);
00098 StringSource ssA(a, true, new HexDecoder);
00099 StringSource ssB(b, true, new HexDecoder);
00100 return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00101 };
00102
00103 OID oid;
00104 const char *p;
00105 const char *a, *b, *g, *n;
00106 unsigned int h;
00107 };
00108
00109 struct OIDLessThan
00110 {
00111 template <typename T>
00112 inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
00113 template <typename T>
00114 inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
00115 template <typename T>
00116 inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
00117 };
00118
00119 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
00120 {
00121
00122 static const EcRecommendedParameters<EC2N> rec[] = {
00123 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
00124 163, 7, 6, 3, 0,
00125 "000000000000000000000000000000000000000001",
00126 "000000000000000000000000000000000000000001",
00127 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00128 "04000000000000000000020108A2E0CC0D99F8A5EF",
00129 2),
00130 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
00131 163, 7, 6, 3, 0,
00132 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00133 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00134 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00135 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00136 2),
00137 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
00138 239, 158, 0,
00139 "000000000000000000000000000000000000000000000000000000000000",
00140 "000000000000000000000000000000000000000000000000000000000001",
00141 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00142 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00143 4),
00144 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00145 113, 9, 0,
00146 "003088250CA6E7C7FE649CE85820F7",
00147 "00E8BEE4D3E2260744188BE0E9C723",
00148 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00149 "0100000000000000D9CCEC8A39E56F",
00150 2),
00151 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
00152 113, 9, 0,
00153 "00689918DBEC7E5A0DD6DFC0AA55C7",
00154 "0095E9A9EC9B297BD4BF36E059184F",
00155 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00156 "010000000000000108789B2496AF93",
00157 2),
00158 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
00159 163, 7, 6, 3, 0,
00160 "000000000000000000000000000000000000000001",
00161 "020A601907B8C953CA1481EB10512F78744A3205FD",
00162 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00163 "040000000000000000000292FE77E70C12A4234C33",
00164 2),
00165 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
00166 283, 12, 7, 5, 0,
00167 "000000000000000000000000000000000000000000000000000000000000000000000000",
00168 "000000000000000000000000000000000000000000000000000000000000000000000001",
00169 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00170 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00171 4),
00172 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
00173 283, 12, 7, 5, 0,
00174 "000000000000000000000000000000000000000000000000000000000000000000000001",
00175 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00176 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00177 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00178 2),
00179 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
00180 131, 8, 3, 2, 0,
00181 "07A11B09A76B562144418FF3FF8C2570B8",
00182 "0217C05610884B63B9C6C7291678F9D341",
00183 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00184 "0400000000000000023123953A9464B54D",
00185 2),
00186 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
00187 131, 8, 3, 2, 0,
00188 "03E5A88919D7CAFCBF415F07C2176573B2",
00189 "04B8266A46C55657AC734CE38F018F2192",
00190 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00191 "0400000000000000016954A233049BA98F",
00192 2),
00193 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
00194 193, 15, 0,
00195 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00196 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00197 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00198 "01000000000000000000000000C7F34A778F443ACC920EBA49",
00199 2),
00200 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
00201 193, 15, 0,
00202 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00203 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00204 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00205 "010000000000000000000000015AAB561B005413CCD4EE99D5",
00206 2),
00207 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
00208 233, 74, 0,
00209 "000000000000000000000000000000000000000000000000000000000000",
00210 "000000000000000000000000000000000000000000000000000000000001",
00211 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00212 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00213 4),
00214 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
00215 233, 74, 0,
00216 "000000000000000000000000000000000000000000000000000000000001",
00217 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00218 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00219 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00220 2),
00221 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
00222 409, 87, 0,
00223 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00224 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00225 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00226 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00227 4),
00228 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
00229 409, 87, 0,
00230 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00231 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00232 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00233 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00234 2),
00235 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
00236 571, 10, 5, 2, 0,
00237 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00238 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00239 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00240 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00241 4),
00242 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
00243 571, 10, 5, 2, 0,
00244 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00245 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00246 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00247 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00248 2),
00249 };
00250 begin = rec;
00251 end = rec + sizeof(rec)/sizeof(rec[0]);
00252 }
00253
00254 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
00255 {
00256
00257 static const EcRecommendedParameters<ECP> rec[] = {
00258 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00259 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00260 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00261 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00262 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00263 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00264 1),
00265 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00266 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00267 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00268 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00269 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00270 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00271 1),
00272 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00273 "DB7C2ABF62E35E668076BEAD208B",
00274 "DB7C2ABF62E35E668076BEAD2088",
00275 "659EF8BA043916EEDE8911702B22",
00276 "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00277 "DB7C2ABF62E35E7628DFAC6561C5",
00278 1),
00279 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00280 "DB7C2ABF62E35E668076BEAD208B",
00281 "6127C24C05F38A0AAAF65C0EF02C",
00282 "51DEF1815DB5ED74FCC34C85D709",
00283 "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00284 "36DF0AAFD8B8D7597CA10520D04B",
00285 4),
00286 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00287 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00288 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00289 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00290 "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00291 "0100000000000000000001F4C8F927AED3CA752257",
00292 1),
00293 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00294 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00295 "0000000000000000000000000000000000000000",
00296 "0000000000000000000000000000000000000007",
00297 "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00298 "0100000000000000000001B8FA16DFAB9ACA16B6B3",
00299 1),
00300 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00301 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00302 "0000000000000000000000000000000000000000000000000000000000000000",
00303 "0000000000000000000000000000000000000000000000000000000000000007",
00304 "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00305 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00306 1),
00307 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00308 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00309 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00310 "E87579C11079F43DD824993C2CEE5ED3",
00311 "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00312 "FFFFFFFE0000000075A30D1B9038A115",
00313 1),
00314 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00315 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00316 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00317 "5EEEFCA380D02919DC2C6558BB6D8A5D",
00318 "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00319 "3FFFFFFF7FFFFFFFBE0024720613B5A3",
00320 4),
00321 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00322 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00323 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00324 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00325 "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00326 "0100000000000000000000351EE786A818F3A1A16B",
00327 1),
00328 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00329 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00330 "000000000000000000000000000000000000000000000000",
00331 "000000000000000000000000000000000000000000000003",
00332 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00333 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00334 1),
00335 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00336 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00337 "00000000000000000000000000000000000000000000000000000000",
00338 "00000000000000000000000000000000000000000000000000000005",
00339 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00340 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00341 1),
00342 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00343 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00344 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00345 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00346 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00348 1),
00349 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00350 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00351 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00352 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00353 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00354 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00355 1),
00356 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00357 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00358 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00359 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00360 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00361 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00362 1),
00363 };
00364 begin = rec;
00365 end = rec + sizeof(rec)/sizeof(rec[0]);
00366 }
00367
00368 template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
00369 {
00370 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00371 GetRecommendedParameters(begin, end);
00372 const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00373 return (it == end ? OID() : it->oid);
00374 }
00375
00376 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
00377 {
00378 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00379 GetRecommendedParameters(begin, end);
00380 const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00381 if (it == end || it->oid != oid)
00382 throw UnknownOID();
00383
00384 const EcRecommendedParameters<EllipticCurve> ¶m = *it;
00385 m_oid = oid;
00386 std::auto_ptr<EllipticCurve> ec(param.NewEC());
00387 this->m_groupPrecomputation.SetCurve(*ec);
00388
00389 StringSource ssG(param.g, true, new HexDecoder);
00390 Element G;
00391 bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
00392 SetSubgroupGenerator(G);
00393 assert(result);
00394
00395 StringSource ssN(param.n, true, new HexDecoder);
00396 m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
00397 m_k = param.h;
00398 }
00399
00400 template <class EC>
00401 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
00402 {
00403 if (strcmp(name, Name::GroupOID()) == 0)
00404 {
00405 if (m_oid.m_values.empty())
00406 return false;
00407
00408 this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
00409 *reinterpret_cast<OID *>(pValue) = m_oid;
00410 return true;
00411 }
00412 else
00413 return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
00414 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00415 }
00416
00417 template <class EC>
00418 void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
00419 {
00420 OID oid;
00421 if (source.GetValue(Name::GroupOID(), oid))
00422 Initialize(oid);
00423 else
00424 {
00425 EllipticCurve ec;
00426 Point G;
00427 Integer n;
00428
00429 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00430 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00431 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00432 Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00433
00434 Initialize(ec, G, n, k);
00435 }
00436 }
00437
00438 template <class EC>
00439 void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
00440 {
00441 try
00442 {
00443 AssignFrom(alg);
00444 }
00445 catch (InvalidArgument &)
00446 {
00447 throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00448 }
00449 }
00450
00451 template <class EC>
00452 void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
00453 {
00454 byte b;
00455 if (!bt.Peek(b))
00456 BERDecodeError();
00457 if (b == OBJECT_IDENTIFIER)
00458 Initialize(OID(bt));
00459 else
00460 {
00461 BERSequenceDecoder seq(bt);
00462 word32 version;
00463 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00464 EllipticCurve ec(seq);
00465 Point G = ec.BERDecodePoint(seq);
00466 Integer n(seq);
00467 Integer k;
00468 bool cofactorPresent = !seq.EndReached();
00469 if (cofactorPresent)
00470 k.BERDecode(seq);
00471 else
00472 k = Integer::Zero();
00473 seq.MessageEnd();
00474
00475 Initialize(ec, G, n, k);
00476 }
00477 }
00478
00479 template <class EC>
00480 void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
00481 {
00482 if (m_encodeAsOID && !m_oid.m_values.empty())
00483 m_oid.DEREncode(bt);
00484 else
00485 {
00486 DERSequenceEncoder seq(bt);
00487 DEREncodeUnsigned<word32>(seq, 1);
00488 GetCurve().DEREncode(seq);
00489 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
00490 m_n.DEREncode(seq);
00491 if (m_k.NotZero())
00492 m_k.DEREncode(seq);
00493 seq.MessageEnd();
00494 }
00495 }
00496
00497 template <class EC>
00498 Integer DL_GroupParameters_EC<EC>::GetCofactor() const
00499 {
00500 if (!m_k)
00501 {
00502 Integer q = GetCurve().FieldSize();
00503 Integer qSqrt = q.SquareRoot();
00504 m_k = (q+2*qSqrt+1)/m_n;
00505 }
00506
00507 return m_k;
00508 }
00509
00510 template <class EC>
00511 Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
00512 {
00513 return ConvertToInteger(element.x);
00514 };
00515
00516 template <class EC>
00517 bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
00518 {
00519 bool pass = GetCurve().ValidateParameters(rng, level);
00520
00521 Integer q = GetCurve().FieldSize();
00522 pass = pass && m_n!=q;
00523
00524 if (level >= 2)
00525 {
00526 Integer qSqrt = q.SquareRoot();
00527 pass = pass && m_n>4*qSqrt;
00528 pass = pass && VerifyPrime(rng, m_n, level-2);
00529 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00530 pass = pass && CheckMOVCondition(q, m_n);
00531 }
00532
00533 return pass;
00534 }
00535
00536 template <class EC>
00537 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
00538 {
00539 bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00540 if (level >= 1)
00541 {
00542 if (gpc)
00543 pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
00544 }
00545 if (level >= 2 && pass)
00546 {
00547 const Integer &q = GetSubgroupOrder();
00548 Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : ExponentiateElement(g, q);
00549 pass = pass && IsIdentity(gq);
00550 }
00551 return pass;
00552 }
00553
00554 template <class EC>
00555 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
00556 {
00557 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00558 }
00559
00560 template <class EC>
00561 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
00562 {
00563 return GetCurve().Add(a, b);
00564 }
00565
00566 template <class EC>
00567 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
00568 {
00569 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00570 }
00571
00572 template <class EC>
00573 OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
00574 {
00575 return ASN1::id_ecPublicKey();
00576 }
00577
00578
00579
00580 template <class EC>
00581 void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00582 {
00583 typename EC::Point P;
00584 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00585 BERDecodeError();
00586 SetPublicElement(P);
00587 }
00588
00589 template <class EC>
00590 void DL_PublicKey_EC<EC>::DEREncodePublicKey(BufferedTransformation &bt) const
00591 {
00592 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
00593 }
00594
00595
00596
00597 template <class EC>
00598 void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00599 {
00600 BERSequenceDecoder seq(bt);
00601 word32 version;
00602 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00603
00604 BERGeneralDecoder dec(seq, OCTET_STRING);
00605 if (!dec.IsDefiniteLength())
00606 BERDecodeError();
00607 Integer x;
00608 x.Decode(dec, (size_t)dec.RemainingLength());
00609 dec.MessageEnd();
00610 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00611 BERDecodeError();
00612 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00613 {
00614 BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00615 this->AccessGroupParameters().BERDecode(parameters);
00616 parameters.MessageEnd();
00617 }
00618 if (!seq.EndReached())
00619 {
00620
00621 SecByteBlock subjectPublicKey;
00622 unsigned int unusedBits;
00623 BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00624 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00625 publicKey.MessageEnd();
00626 Element Q;
00627 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
00628 BERDecodeError();
00629 }
00630 seq.MessageEnd();
00631
00632 this->SetPrivateExponent(x);
00633 }
00634
00635 template <class EC>
00636 void DL_PrivateKey_EC<EC>::DEREncodePrivateKey(BufferedTransformation &bt) const
00637 {
00638 DERSequenceEncoder privateKey(bt);
00639 DEREncodeUnsigned<word32>(privateKey, 1);
00640
00641
00642 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
00643 privateKey.MessageEnd();
00644 }
00645
00646 NAMESPACE_END
00647
00648 #endif
00649
00650 #endif