00001
00002
00003 #include "pch.h"
00004
00005 #ifndef CRYPTOPP_IMPORTS
00006
00007 #include "eccrypto.h"
00008 #include "nbtheory.h"
00009 #include "oids.h"
00010 #include "hex.h"
00011 #include "argnames.h"
00012 #include "ec2n.h"
00013
00014 NAMESPACE_BEGIN(CryptoPP)
00015
00016 #if 0
00017 static void ECDSA_TestInstantiations()
00018 {
00019 ECDSA<EC2N>::Signer t1;
00020 ECDSA<EC2N>::Verifier t2(t1);
00021 ECNR<ECP>::Signer t3;
00022 ECNR<ECP>::Verifier t4(t3);
00023 ECIES<ECP>::Encryptor t5;
00024 ECIES<EC2N>::Decryptor t6;
00025 ECDH<ECP>::Domain t7;
00026 ECMQV<ECP>::Domain t8;
00027 }
00028 #endif
00029
00030
00031 static Integer ConvertToInteger(const PolynomialMod2 &x)
00032 {
00033 unsigned int l = x.ByteCount();
00034 SecByteBlock temp(l);
00035 x.Encode(temp, l);
00036 return Integer(temp, l);
00037 }
00038
00039 static inline Integer ConvertToInteger(const Integer &x)
00040 {
00041 return x;
00042 }
00043
00044 static bool CheckMOVCondition(const Integer &q, const Integer &r)
00045 {
00046
00047 Integer t = 1;
00048 unsigned int n = q.IsEven() ? 1 : q.BitCount(), m = r.BitCount();
00049
00050 for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00051 {
00052 if (q.IsEven())
00053 t = (t+t)%r;
00054 else
00055 t = (t*q)%r;
00056 if (t == 1)
00057 return false;
00058 }
00059 return true;
00060 }
00061
00062
00063
00064 template <class T> struct EcRecommendedParameters;
00065
00066 template<> struct EcRecommendedParameters<EC2N>
00067 {
00068 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)
00069 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00070 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)
00071 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00072 EC2N *NewEC() const
00073 {
00074 StringSource ssA(a, true, new HexDecoder);
00075 StringSource ssB(b, true, new HexDecoder);
00076 if (t0 == 0)
00077 return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00078 else
00079 return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00080 };
00081
00082 OID oid;
00083 unsigned int t0, t1, t2, t3, t4;
00084 const char *a, *b, *g, *n;
00085 unsigned int h;
00086 };
00087
00088 template<> struct EcRecommendedParameters<ECP>
00089 {
00090 EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
00091 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00092 ECP *NewEC() const
00093 {
00094 StringSource ssP(p, true, new HexDecoder);
00095 StringSource ssA(a, true, new HexDecoder);
00096 StringSource ssB(b, true, new HexDecoder);
00097 return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00098 };
00099
00100 OID oid;
00101 const char *p;
00102 const char *a, *b, *g, *n;
00103 unsigned int h;
00104 };
00105
00106 struct OIDLessThan
00107 {
00108 template <typename T>
00109 inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
00110 template <typename T>
00111 inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
00112 template <typename T>
00113 inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
00114 };
00115
00116 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
00117 {
00118
00119 static const EcRecommendedParameters<EC2N> rec[] = {
00120 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
00121 163, 7, 6, 3, 0,
00122 "000000000000000000000000000000000000000001",
00123 "000000000000000000000000000000000000000001",
00124 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00125 "04000000000000000000020108A2E0CC0D99F8A5EF",
00126 2),
00127 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
00128 163, 7, 6, 3, 0,
00129 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00130 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00131 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00132 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00133 2),
00134 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
00135 239, 158, 0,
00136 "000000000000000000000000000000000000000000000000000000000000",
00137 "000000000000000000000000000000000000000000000000000000000001",
00138 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00139 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00140 4),
00141 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00142 113, 9, 0,
00143 "003088250CA6E7C7FE649CE85820F7",
00144 "00E8BEE4D3E2260744188BE0E9C723",
00145 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00146 "0100000000000000D9CCEC8A39E56F",
00147 2),
00148 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
00149 113, 9, 0,
00150 "00689918DBEC7E5A0DD6DFC0AA55C7",
00151 "0095E9A9EC9B297BD4BF36E059184F",
00152 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00153 "010000000000000108789B2496AF93",
00154 2),
00155 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
00156 163, 7, 6, 3, 0,
00157 "000000000000000000000000000000000000000001",
00158 "020A601907B8C953CA1481EB10512F78744A3205FD",
00159 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00160 "040000000000000000000292FE77E70C12A4234C33",
00161 2),
00162 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
00163 283, 12, 7, 5, 0,
00164 "000000000000000000000000000000000000000000000000000000000000000000000000",
00165 "000000000000000000000000000000000000000000000000000000000000000000000001",
00166 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00167 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00168 4),
00169 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
00170 283, 12, 7, 5, 0,
00171 "000000000000000000000000000000000000000000000000000000000000000000000001",
00172 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00173 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00174 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00175 2),
00176 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
00177 131, 8, 3, 2, 0,
00178 "07A11B09A76B562144418FF3FF8C2570B8",
00179 "0217C05610884B63B9C6C7291678F9D341",
00180 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00181 "0400000000000000023123953A9464B54D",
00182 2),
00183 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
00184 131, 8, 3, 2, 0,
00185 "03E5A88919D7CAFCBF415F07C2176573B2",
00186 "04B8266A46C55657AC734CE38F018F2192",
00187 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00188 "0400000000000000016954A233049BA98F",
00189 2),
00190 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
00191 193, 15, 0,
00192 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00193 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00194 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00195 "01000000000000000000000000C7F34A778F443ACC920EBA49",
00196 2),
00197 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
00198 193, 15, 0,
00199 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00200 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00201 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00202 "010000000000000000000000015AAB561B005413CCD4EE99D5",
00203 2),
00204 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
00205 233, 74, 0,
00206 "000000000000000000000000000000000000000000000000000000000000",
00207 "000000000000000000000000000000000000000000000000000000000001",
00208 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00209 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00210 4),
00211 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
00212 233, 74, 0,
00213 "000000000000000000000000000000000000000000000000000000000001",
00214 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00215 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00216 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00217 2),
00218 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
00219 409, 87, 0,
00220 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00221 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00222 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00223 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00224 4),
00225 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
00226 409, 87, 0,
00227 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00228 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00229 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00230 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00231 2),
00232 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
00233 571, 10, 5, 2, 0,
00234 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00235 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00236 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00237 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00238 4),
00239 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
00240 571, 10, 5, 2, 0,
00241 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00242 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00243 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00244 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00245 2),
00246 };
00247 begin = rec;
00248 end = rec + sizeof(rec)/sizeof(rec[0]);
00249 }
00250
00251 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
00252 {
00253
00254 static const EcRecommendedParameters<ECP> rec[] = {
00255 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00256 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00257 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00258 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00259 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00260 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00261 1),
00262 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00263 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00264 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00265 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00266 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00267 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00268 1),
00269 EcRecommendedParameters<ECP>(ASN1::brainpoolP160r1(),
00270 "E95E4A5F737059DC60DFC7AD95B3D8139515620F",
00271 "340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
00272 "1E589A8595423412134FAA2DBDEC95C8D8675E58",
00273 "04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
00274 "E95E4A5F737059DC60DF5991D45029409E60FC09",
00275 1),
00276 EcRecommendedParameters<ECP>(ASN1::brainpoolP192r1(),
00277 "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
00278 "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
00279 "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
00280 "04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
00281 "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
00282 1),
00283 EcRecommendedParameters<ECP>(ASN1::brainpoolP224r1(),
00284 "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
00285 "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
00286 "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
00287 "040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
00288 "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
00289 1),
00290 EcRecommendedParameters<ECP>(ASN1::brainpoolP256r1(),
00291 "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
00292 "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
00293 "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
00294 "048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
00295 "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
00296 1),
00297 EcRecommendedParameters<ECP>(ASN1::brainpoolP320r1(),
00298 "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
00299 "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
00300 "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
00301 "0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
00302 "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
00303 1),
00304 EcRecommendedParameters<ECP>(ASN1::brainpoolP384r1(),
00305 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
00306 "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
00307 "04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11",
00308 "041D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315",
00309 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565",
00310 1),
00311 EcRecommendedParameters<ECP>(ASN1::brainpoolP512r1(),
00312 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3",
00313 "7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA",
00314 "3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723",
00315 "0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892",
00316 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069",
00317 1),
00318 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00319 "DB7C2ABF62E35E668076BEAD208B",
00320 "DB7C2ABF62E35E668076BEAD2088",
00321 "659EF8BA043916EEDE8911702B22",
00322 "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00323 "DB7C2ABF62E35E7628DFAC6561C5",
00324 1),
00325 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00326 "DB7C2ABF62E35E668076BEAD208B",
00327 "6127C24C05F38A0AAAF65C0EF02C",
00328 "51DEF1815DB5ED74FCC34C85D709",
00329 "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00330 "36DF0AAFD8B8D7597CA10520D04B",
00331 4),
00332 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00333 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00334 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00335 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00336 "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00337 "0100000000000000000001F4C8F927AED3CA752257",
00338 1),
00339 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00340 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00341 "0000000000000000000000000000000000000000",
00342 "0000000000000000000000000000000000000007",
00343 "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00344 "0100000000000000000001B8FA16DFAB9ACA16B6B3",
00345 1),
00346 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00348 "0000000000000000000000000000000000000000000000000000000000000000",
00349 "0000000000000000000000000000000000000000000000000000000000000007",
00350 "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00351 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00352 1),
00353 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00354 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00355 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00356 "E87579C11079F43DD824993C2CEE5ED3",
00357 "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00358 "FFFFFFFE0000000075A30D1B9038A115",
00359 1),
00360 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00361 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00362 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00363 "5EEEFCA380D02919DC2C6558BB6D8A5D",
00364 "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00365 "3FFFFFFF7FFFFFFFBE0024720613B5A3",
00366 4),
00367 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00368 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00369 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00370 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00371 "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00372 "0100000000000000000000351EE786A818F3A1A16B",
00373 1),
00374 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00375 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00376 "000000000000000000000000000000000000000000000000",
00377 "000000000000000000000000000000000000000000000003",
00378 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00379 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00380 1),
00381 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00382 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00383 "00000000000000000000000000000000000000000000000000000000",
00384 "00000000000000000000000000000000000000000000000000000005",
00385 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00386 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00387 1),
00388 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00389 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00390 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00391 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00392 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00393 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00394 1),
00395 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00396 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00397 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00398 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00399 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00400 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00401 1),
00402 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00403 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00404 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00405 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00406 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00407 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00408 1),
00409 };
00410 begin = rec;
00411 end = rec + sizeof(rec)/sizeof(rec[0]);
00412 }
00413
00414 template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
00415 {
00416 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00417 GetRecommendedParameters(begin, end);
00418 const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00419 return (it == end ? OID() : it->oid);
00420 }
00421
00422 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
00423 {
00424 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00425 GetRecommendedParameters(begin, end);
00426 const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00427 if (it == end || it->oid != oid)
00428 throw UnknownOID();
00429
00430 const EcRecommendedParameters<EllipticCurve> ¶m = *it;
00431 m_oid = oid;
00432 std::auto_ptr<EllipticCurve> ec(param.NewEC());
00433 this->m_groupPrecomputation.SetCurve(*ec);
00434
00435 StringSource ssG(param.g, true, new HexDecoder);
00436 Element G;
00437 bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
00438 SetSubgroupGenerator(G);
00439 assert(result);
00440
00441 StringSource ssN(param.n, true, new HexDecoder);
00442 m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
00443 m_k = param.h;
00444 }
00445
00446 template <class EC>
00447 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
00448 {
00449 if (strcmp(name, Name::GroupOID()) == 0)
00450 {
00451 if (m_oid.m_values.empty())
00452 return false;
00453
00454 this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
00455 *reinterpret_cast<OID *>(pValue) = m_oid;
00456 return true;
00457 }
00458 else
00459 return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
00460 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00461 }
00462
00463 template <class EC>
00464 void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
00465 {
00466 OID oid;
00467 if (source.GetValue(Name::GroupOID(), oid))
00468 Initialize(oid);
00469 else
00470 {
00471 EllipticCurve ec;
00472 Point G;
00473 Integer n;
00474
00475 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00476 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00477 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00478 Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00479
00480 Initialize(ec, G, n, k);
00481 }
00482 }
00483
00484 template <class EC>
00485 void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
00486 {
00487 try
00488 {
00489 AssignFrom(alg);
00490 }
00491 catch (InvalidArgument &)
00492 {
00493 throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00494 }
00495 }
00496
00497 template <class EC>
00498 void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
00499 {
00500 byte b;
00501 if (!bt.Peek(b))
00502 BERDecodeError();
00503 if (b == OBJECT_IDENTIFIER)
00504 Initialize(OID(bt));
00505 else
00506 {
00507 BERSequenceDecoder seq(bt);
00508 word32 version;
00509 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00510 EllipticCurve ec(seq);
00511 Point G = ec.BERDecodePoint(seq);
00512 Integer n(seq);
00513 Integer k;
00514 bool cofactorPresent = !seq.EndReached();
00515 if (cofactorPresent)
00516 k.BERDecode(seq);
00517 else
00518 k = Integer::Zero();
00519 seq.MessageEnd();
00520
00521 Initialize(ec, G, n, k);
00522 }
00523 }
00524
00525 template <class EC>
00526 void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
00527 {
00528 if (m_encodeAsOID && !m_oid.m_values.empty())
00529 m_oid.DEREncode(bt);
00530 else
00531 {
00532 DERSequenceEncoder seq(bt);
00533 DEREncodeUnsigned<word32>(seq, 1);
00534 GetCurve().DEREncode(seq);
00535 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
00536 m_n.DEREncode(seq);
00537 if (m_k.NotZero())
00538 m_k.DEREncode(seq);
00539 seq.MessageEnd();
00540 }
00541 }
00542
00543 template <class EC>
00544 Integer DL_GroupParameters_EC<EC>::GetCofactor() const
00545 {
00546 if (!m_k)
00547 {
00548 Integer q = GetCurve().FieldSize();
00549 Integer qSqrt = q.SquareRoot();
00550 m_k = (q+2*qSqrt+1)/m_n;
00551 }
00552
00553 return m_k;
00554 }
00555
00556 template <class EC>
00557 Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
00558 {
00559 return ConvertToInteger(element.x);
00560 };
00561
00562 template <class EC>
00563 bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
00564 {
00565 bool pass = GetCurve().ValidateParameters(rng, level);
00566
00567 Integer q = GetCurve().FieldSize();
00568 pass = pass && m_n!=q;
00569
00570 if (level >= 2)
00571 {
00572 Integer qSqrt = q.SquareRoot();
00573 pass = pass && m_n>4*qSqrt;
00574 pass = pass && VerifyPrime(rng, m_n, level-2);
00575 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00576 pass = pass && CheckMOVCondition(q, m_n);
00577 }
00578
00579 return pass;
00580 }
00581
00582 template <class EC>
00583 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
00584 {
00585 bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00586 if (level >= 1)
00587 {
00588 if (gpc)
00589 pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
00590 }
00591 if (level >= 2 && pass)
00592 {
00593 const Integer &q = GetSubgroupOrder();
00594 Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : ExponentiateElement(g, q);
00595 pass = pass && IsIdentity(gq);
00596 }
00597 return pass;
00598 }
00599
00600 template <class EC>
00601 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
00602 {
00603 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00604 }
00605
00606 template <class EC>
00607 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
00608 {
00609 return GetCurve().Add(a, b);
00610 }
00611
00612 template <class EC>
00613 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
00614 {
00615 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00616 }
00617
00618 template <class EC>
00619 OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
00620 {
00621 return ASN1::id_ecPublicKey();
00622 }
00623
00624
00625
00626 template <class EC>
00627 void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00628 {
00629 typename EC::Point P;
00630 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00631 BERDecodeError();
00632 SetPublicElement(P);
00633 }
00634
00635 template <class EC>
00636 void DL_PublicKey_EC<EC>::DEREncodePublicKey(BufferedTransformation &bt) const
00637 {
00638 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
00639 }
00640
00641
00642
00643 template <class EC>
00644 void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00645 {
00646 BERSequenceDecoder seq(bt);
00647 word32 version;
00648 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00649
00650 BERGeneralDecoder dec(seq, OCTET_STRING);
00651 if (!dec.IsDefiniteLength())
00652 BERDecodeError();
00653 Integer x;
00654 x.Decode(dec, (size_t)dec.RemainingLength());
00655 dec.MessageEnd();
00656 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00657 BERDecodeError();
00658 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00659 {
00660 BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00661 this->AccessGroupParameters().BERDecode(parameters);
00662 parameters.MessageEnd();
00663 }
00664 if (!seq.EndReached())
00665 {
00666
00667 SecByteBlock subjectPublicKey;
00668 unsigned int unusedBits;
00669 BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00670 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00671 publicKey.MessageEnd();
00672 Element Q;
00673 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
00674 BERDecodeError();
00675 }
00676 seq.MessageEnd();
00677
00678 this->SetPrivateExponent(x);
00679 }
00680
00681 template <class EC>
00682 void DL_PrivateKey_EC<EC>::DEREncodePrivateKey(BufferedTransformation &bt) const
00683 {
00684 DERSequenceEncoder privateKey(bt);
00685 DEREncodeUnsigned<word32>(privateKey, 1);
00686
00687
00688 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
00689 privateKey.MessageEnd();
00690 }
00691
00692 NAMESPACE_END
00693
00694 #endif