00001
00002
00003 #include "pch.h"
00004
00005 #include "config.h"
00006
00007 #if CRYPTOPP_MSC_VERSION
00008 # pragma warning(push)
00009 # pragma warning(disable: 4127 4189)
00010 #endif
00011
00012 #if CRYPTOPP_GCC_DIAGNOSTIC_AVAILABLE
00013 # pragma GCC diagnostic push
00014 # pragma GCC diagnostic ignored "-Wunused-function"
00015 #endif
00016
00017 #ifndef CRYPTOPP_IMPORTS
00018
00019 #include "eccrypto.h"
00020 #include "integer.h"
00021 #include "nbtheory.h"
00022 #include "filters.h"
00023 #include "argnames.h"
00024 #include "smartptr.h"
00025 #include "oids.h"
00026 #include "asn.h"
00027 #include "hex.h"
00028 #include "ec2n.h"
00029 #include "misc.h"
00030
00031 NAMESPACE_BEGIN(CryptoPP)
00032
00033 #if 0
00034 #if !defined(NDEBUG) && !defined(CRYPTOPP_DOXYGEN_PROCESSING)
00035 static void ECDSA_TestInstantiations()
00036 {
00037 ECDSA<EC2N>::Signer t1;
00038 ECDSA<EC2N>::Verifier t2(t1);
00039 ECNR<ECP>::Signer t3;
00040 ECNR<ECP>::Verifier t4(t3);
00041 ECIES<ECP>::Encryptor t5;
00042 ECIES<EC2N>::Decryptor t6;
00043 ECDH<ECP>::Domain t7;
00044 ECMQV<ECP>::Domain t8;
00045 }
00046 #endif
00047 #endif
00048
00049
00050 static Integer ConvertToInteger(const PolynomialMod2 &x)
00051 {
00052 unsigned int l = x.ByteCount();
00053 SecByteBlock temp(l);
00054 x.Encode(temp, l);
00055 return Integer(temp, l);
00056 }
00057
00058 static inline Integer ConvertToInteger(const Integer &x)
00059 {
00060 return x;
00061 }
00062
00063 static bool CheckMOVCondition(const Integer &q, const Integer &r)
00064 {
00065
00066 Integer t = 1;
00067 unsigned int n = q.IsEven() ? 1 : q.BitCount(), m = r.BitCount();
00068
00069 for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
00070 {
00071 if (q.IsEven())
00072 t = (t+t)%r;
00073 else
00074 t = (t*q)%r;
00075 if (t == 1)
00076 return false;
00077 }
00078 return true;
00079 }
00080
00081
00082
00083 template <class T> struct EcRecommendedParameters;
00084
00085 template<> struct EcRecommendedParameters<EC2N>
00086 {
00087 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)
00088 : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00089 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)
00090 : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
00091 EC2N *NewEC() const
00092 {
00093 StringSource ssA(a, true, new HexDecoder);
00094 StringSource ssB(b, true, new HexDecoder);
00095 if (t0 == 0)
00096 return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00097 else
00098 return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00099 };
00100
00101 OID oid;
00102 unsigned int t0, t1, t2, t3, t4;
00103 const char *a, *b, *g, *n;
00104 unsigned int h;
00105 };
00106
00107 template<> struct EcRecommendedParameters<ECP>
00108 {
00109 EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
00110 : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
00111 ECP *NewEC() const
00112 {
00113 StringSource ssP(p, true, new HexDecoder);
00114 StringSource ssA(a, true, new HexDecoder);
00115 StringSource ssB(b, true, new HexDecoder);
00116 return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
00117 };
00118
00119 OID oid;
00120 const char *p;
00121 const char *a, *b, *g, *n;
00122 unsigned int h;
00123 };
00124
00125 struct OIDLessThan
00126 {
00127 template <typename T>
00128 inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
00129 template <typename T>
00130 inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
00131 template <typename T>
00132 inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
00133 };
00134
00135 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
00136 {
00137
00138 static const EcRecommendedParameters<EC2N> rec[] = {
00139 EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
00140 163, 7, 6, 3, 0,
00141 "000000000000000000000000000000000000000001",
00142 "000000000000000000000000000000000000000001",
00143 "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
00144 "04000000000000000000020108A2E0CC0D99F8A5EF",
00145 2),
00146 EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
00147 163, 7, 6, 3, 0,
00148 "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
00149 "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
00150 "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
00151 "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
00152 2),
00153 EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
00154 239, 158, 0,
00155 "000000000000000000000000000000000000000000000000000000000000",
00156 "000000000000000000000000000000000000000000000000000000000001",
00157 "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
00158 "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
00159 4),
00160 EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
00161 113, 9, 0,
00162 "003088250CA6E7C7FE649CE85820F7",
00163 "00E8BEE4D3E2260744188BE0E9C723",
00164 "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
00165 "0100000000000000D9CCEC8A39E56F",
00166 2),
00167 EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
00168 113, 9, 0,
00169 "00689918DBEC7E5A0DD6DFC0AA55C7",
00170 "0095E9A9EC9B297BD4BF36E059184F",
00171 "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
00172 "010000000000000108789B2496AF93",
00173 2),
00174 EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
00175 163, 7, 6, 3, 0,
00176 "000000000000000000000000000000000000000001",
00177 "020A601907B8C953CA1481EB10512F78744A3205FD",
00178 "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
00179 "040000000000000000000292FE77E70C12A4234C33",
00180 2),
00181 EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
00182 283, 12, 7, 5, 0,
00183 "000000000000000000000000000000000000000000000000000000000000000000000000",
00184 "000000000000000000000000000000000000000000000000000000000000000000000001",
00185 "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
00186 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
00187 4),
00188 EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
00189 283, 12, 7, 5, 0,
00190 "000000000000000000000000000000000000000000000000000000000000000000000001",
00191 "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
00192 "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
00193 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
00194 2),
00195 EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
00196 131, 8, 3, 2, 0,
00197 "07A11B09A76B562144418FF3FF8C2570B8",
00198 "0217C05610884B63B9C6C7291678F9D341",
00199 "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
00200 "0400000000000000023123953A9464B54D",
00201 2),
00202 EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
00203 131, 8, 3, 2, 0,
00204 "03E5A88919D7CAFCBF415F07C2176573B2",
00205 "04B8266A46C55657AC734CE38F018F2192",
00206 "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
00207 "0400000000000000016954A233049BA98F",
00208 2),
00209 EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
00210 193, 15, 0,
00211 "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
00212 "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
00213 "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
00214 "01000000000000000000000000C7F34A778F443ACC920EBA49",
00215 2),
00216 EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
00217 193, 15, 0,
00218 "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
00219 "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
00220 "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
00221 "010000000000000000000000015AAB561B005413CCD4EE99D5",
00222 2),
00223 EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
00224 233, 74, 0,
00225 "000000000000000000000000000000000000000000000000000000000000",
00226 "000000000000000000000000000000000000000000000000000000000001",
00227 "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
00228 "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
00229 4),
00230 EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
00231 233, 74, 0,
00232 "000000000000000000000000000000000000000000000000000000000001",
00233 "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
00234 "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
00235 "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
00236 2),
00237 EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
00238 409, 87, 0,
00239 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00240 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00241 "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
00242 "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
00243 4),
00244 EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
00245 409, 87, 0,
00246 "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00247 "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
00248 "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
00249 "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
00250 2),
00251 EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
00252 571, 10, 5, 2, 0,
00253 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
00254 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00255 "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
00256 "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
00257 4),
00258 EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
00259 571, 10, 5, 2, 0,
00260 "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
00261 "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
00262 "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
00263 "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
00264 2),
00265 };
00266 begin = rec;
00267 end = rec + sizeof(rec)/sizeof(rec[0]);
00268 }
00269
00270 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
00271 {
00272
00273 static const EcRecommendedParameters<ECP> rec[] = {
00274 EcRecommendedParameters<ECP>(ASN1::secp192r1(),
00275 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
00276 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
00277 "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
00278 "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
00279 "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
00280 1),
00281 EcRecommendedParameters<ECP>(ASN1::secp256r1(),
00282 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
00283 "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
00284 "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
00285 "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
00286 "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
00287 1),
00288 EcRecommendedParameters<ECP>(ASN1::brainpoolP160r1(),
00289 "E95E4A5F737059DC60DFC7AD95B3D8139515620F",
00290 "340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
00291 "1E589A8595423412134FAA2DBDEC95C8D8675E58",
00292 "04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
00293 "E95E4A5F737059DC60DF5991D45029409E60FC09",
00294 1),
00295 EcRecommendedParameters<ECP>(ASN1::brainpoolP192r1(),
00296 "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
00297 "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
00298 "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
00299 "04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
00300 "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
00301 1),
00302 EcRecommendedParameters<ECP>(ASN1::brainpoolP224r1(),
00303 "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
00304 "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
00305 "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
00306 "040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
00307 "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
00308 1),
00309 EcRecommendedParameters<ECP>(ASN1::brainpoolP256r1(),
00310 "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
00311 "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
00312 "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
00313 "048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
00314 "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
00315 1),
00316 EcRecommendedParameters<ECP>(ASN1::brainpoolP320r1(),
00317 "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
00318 "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
00319 "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
00320 "0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
00321 "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
00322 1),
00323 EcRecommendedParameters<ECP>(ASN1::brainpoolP384r1(),
00324 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
00325 "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
00326 "04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11",
00327 "041D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315",
00328 "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565",
00329 1),
00330 EcRecommendedParameters<ECP>(ASN1::brainpoolP512r1(),
00331 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3",
00332 "7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA",
00333 "3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723",
00334 "0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892",
00335 "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069",
00336 1),
00337 EcRecommendedParameters<ECP>(ASN1::secp112r1(),
00338 "DB7C2ABF62E35E668076BEAD208B",
00339 "DB7C2ABF62E35E668076BEAD2088",
00340 "659EF8BA043916EEDE8911702B22",
00341 "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
00342 "DB7C2ABF62E35E7628DFAC6561C5",
00343 1),
00344 EcRecommendedParameters<ECP>(ASN1::secp112r2(),
00345 "DB7C2ABF62E35E668076BEAD208B",
00346 "6127C24C05F38A0AAAF65C0EF02C",
00347 "51DEF1815DB5ED74FCC34C85D709",
00348 "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
00349 "36DF0AAFD8B8D7597CA10520D04B",
00350 4),
00351 EcRecommendedParameters<ECP>(ASN1::secp160r1(),
00352 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
00353 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
00354 "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
00355 "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
00356 "0100000000000000000001F4C8F927AED3CA752257",
00357 1),
00358 EcRecommendedParameters<ECP>(ASN1::secp160k1(),
00359 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00360 "0000000000000000000000000000000000000000",
00361 "0000000000000000000000000000000000000007",
00362 "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
00363 "0100000000000000000001B8FA16DFAB9ACA16B6B3",
00364 1),
00365 EcRecommendedParameters<ECP>(ASN1::secp256k1(),
00366 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
00367 "0000000000000000000000000000000000000000000000000000000000000000",
00368 "0000000000000000000000000000000000000000000000000000000000000007",
00369 "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
00370 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
00371 1),
00372 EcRecommendedParameters<ECP>(ASN1::secp128r1(),
00373 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00374 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
00375 "E87579C11079F43DD824993C2CEE5ED3",
00376 "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
00377 "FFFFFFFE0000000075A30D1B9038A115",
00378 1),
00379 EcRecommendedParameters<ECP>(ASN1::secp128r2(),
00380 "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
00381 "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
00382 "5EEEFCA380D02919DC2C6558BB6D8A5D",
00383 "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
00384 "3FFFFFFF7FFFFFFFBE0024720613B5A3",
00385 4),
00386 EcRecommendedParameters<ECP>(ASN1::secp160r2(),
00387 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
00388 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
00389 "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
00390 "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
00391 "0100000000000000000000351EE786A818F3A1A16B",
00392 1),
00393 EcRecommendedParameters<ECP>(ASN1::secp192k1(),
00394 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
00395 "000000000000000000000000000000000000000000000000",
00396 "000000000000000000000000000000000000000000000003",
00397 "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
00398 "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
00399 1),
00400 EcRecommendedParameters<ECP>(ASN1::secp224k1(),
00401 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
00402 "00000000000000000000000000000000000000000000000000000000",
00403 "00000000000000000000000000000000000000000000000000000005",
00404 "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
00405 "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
00406 1),
00407 EcRecommendedParameters<ECP>(ASN1::secp224r1(),
00408 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
00409 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
00410 "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
00411 "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
00412 "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
00413 1),
00414 EcRecommendedParameters<ECP>(ASN1::secp384r1(),
00415 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
00416 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
00417 "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
00418 "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
00419 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
00420 1),
00421 EcRecommendedParameters<ECP>(ASN1::secp521r1(),
00422 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
00423 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
00424 "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
00425 "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
00426 "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
00427 1),
00428 };
00429 begin = rec;
00430 end = rec + sizeof(rec)/sizeof(rec[0]);
00431 }
00432
00433 template <class EC> OID DL_GroupParameters_EC<EC>::GetNextRecommendedParametersOID(const OID &oid)
00434 {
00435 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00436 GetRecommendedParameters(begin, end);
00437 const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
00438 return (it == end ? OID() : it->oid);
00439 }
00440
00441 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
00442 {
00443 const EcRecommendedParameters<EllipticCurve> *begin, *end;
00444 GetRecommendedParameters(begin, end);
00445 const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
00446 if (it == end || it->oid != oid)
00447 throw UnknownOID();
00448
00449 const EcRecommendedParameters<EllipticCurve> ¶m = *it;
00450 m_oid = oid;
00451 member_ptr<EllipticCurve> ec(param.NewEC());
00452 this->m_groupPrecomputation.SetCurve(*ec);
00453
00454 StringSource ssG(param.g, true, new HexDecoder);
00455 Element G;
00456 bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
00457 this->SetSubgroupGenerator(G);
00458
00459
00460 CRYPTOPP_UNUSED(result); assert(result);
00461
00462 StringSource ssN(param.n, true, new HexDecoder);
00463 m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
00464 m_k = param.h;
00465 }
00466
00467 template <class EC>
00468 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
00469 {
00470 if (strcmp(name, Name::GroupOID()) == 0)
00471 {
00472 if (m_oid.m_values.empty())
00473 return false;
00474
00475 this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
00476 *reinterpret_cast<OID *>(pValue) = m_oid;
00477 return true;
00478 }
00479 else
00480 return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
00481 CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
00482 }
00483
00484 template <class EC>
00485 void DL_GroupParameters_EC<EC>::AssignFrom(const NameValuePairs &source)
00486 {
00487 OID oid;
00488 if (source.GetValue(Name::GroupOID(), oid))
00489 Initialize(oid);
00490 else
00491 {
00492 EllipticCurve ec;
00493 Point G;
00494 Integer n;
00495
00496 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
00497 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
00498 source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
00499 Integer k = source.GetValueWithDefault(Name::Cofactor(), Integer::Zero());
00500
00501 Initialize(ec, G, n, k);
00502 }
00503 }
00504
00505 template <class EC>
00506 void DL_GroupParameters_EC<EC>::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
00507 {
00508 try
00509 {
00510 CRYPTOPP_UNUSED(rng);
00511 AssignFrom(alg);
00512 }
00513 catch (InvalidArgument &)
00514 {
00515 throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
00516 }
00517 }
00518
00519 template <class EC>
00520 void DL_GroupParameters_EC<EC>::BERDecode(BufferedTransformation &bt)
00521 {
00522 byte b;
00523 if (!bt.Peek(b))
00524 BERDecodeError();
00525 if (b == OBJECT_IDENTIFIER)
00526 Initialize(OID(bt));
00527 else
00528 {
00529 BERSequenceDecoder seq(bt);
00530 word32 version;
00531 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00532 EllipticCurve ec(seq);
00533 Point G = ec.BERDecodePoint(seq);
00534 Integer n(seq);
00535 Integer k;
00536 bool cofactorPresent = !seq.EndReached();
00537 if (cofactorPresent)
00538 k.BERDecode(seq);
00539 else
00540 k = Integer::Zero();
00541 seq.MessageEnd();
00542
00543 Initialize(ec, G, n, k);
00544 }
00545 }
00546
00547 template <class EC>
00548 void DL_GroupParameters_EC<EC>::DEREncode(BufferedTransformation &bt) const
00549 {
00550 if (m_encodeAsOID && !m_oid.m_values.empty())
00551 m_oid.DEREncode(bt);
00552 else
00553 {
00554 DERSequenceEncoder seq(bt);
00555 DEREncodeUnsigned<word32>(seq, 1);
00556 GetCurve().DEREncode(seq);
00557 GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
00558 m_n.DEREncode(seq);
00559 if (m_k.NotZero())
00560 m_k.DEREncode(seq);
00561 seq.MessageEnd();
00562 }
00563 }
00564
00565 template <class EC>
00566 Integer DL_GroupParameters_EC<EC>::GetCofactor() const
00567 {
00568 if (!m_k)
00569 {
00570 Integer q = GetCurve().FieldSize();
00571 Integer qSqrt = q.SquareRoot();
00572 m_k = (q+2*qSqrt+1)/m_n;
00573 }
00574
00575 return m_k;
00576 }
00577
00578 template <class EC>
00579 Integer DL_GroupParameters_EC<EC>::ConvertElementToInteger(const Element &element) const
00580 {
00581 return ConvertToInteger(element.x);
00582 };
00583
00584 template <class EC>
00585 bool DL_GroupParameters_EC<EC>::ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
00586 {
00587 bool pass = GetCurve().ValidateParameters(rng, level);
00588
00589 Integer q = GetCurve().FieldSize();
00590 pass = pass && m_n!=q;
00591
00592 if (level >= 2)
00593 {
00594 Integer qSqrt = q.SquareRoot();
00595 pass = pass && m_n>4*qSqrt;
00596 pass = pass && VerifyPrime(rng, m_n, level-2);
00597 pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
00598 pass = pass && CheckMOVCondition(q, m_n);
00599 }
00600
00601 return pass;
00602 }
00603
00604 template <class EC>
00605 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
00606 {
00607 bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
00608 if (level >= 1)
00609 {
00610 if (gpc)
00611 pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
00612 }
00613 if (level >= 2 && pass)
00614 {
00615 const Integer &q = GetSubgroupOrder();
00616 Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : this->ExponentiateElement(g, q);
00617 pass = pass && IsIdentity(gq);
00618 }
00619 return pass;
00620 }
00621
00622 template <class EC>
00623 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
00624 {
00625 GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
00626 }
00627
00628 template <class EC>
00629 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
00630 {
00631 return GetCurve().Add(a, b);
00632 }
00633
00634 template <class EC>
00635 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
00636 {
00637 return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
00638 }
00639
00640 template <class EC>
00641 OID DL_GroupParameters_EC<EC>::GetAlgorithmID() const
00642 {
00643 return ASN1::id_ecPublicKey();
00644 }
00645
00646
00647
00648 template <class EC>
00649 void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00650 {
00651 CRYPTOPP_UNUSED(parametersPresent);
00652
00653 typename EC::Point P;
00654 if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
00655 BERDecodeError();
00656 this->SetPublicElement(P);
00657 }
00658
00659 template <class EC>
00660 void DL_PublicKey_EC<EC>::DEREncodePublicKey(BufferedTransformation &bt) const
00661 {
00662 this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
00663 }
00664
00665
00666
00667 template <class EC>
00668 void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
00669 {
00670 CRYPTOPP_UNUSED(size);
00671 BERSequenceDecoder seq(bt);
00672 word32 version;
00673 BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1);
00674
00675 BERGeneralDecoder dec(seq, OCTET_STRING);
00676 if (!dec.IsDefiniteLength())
00677 BERDecodeError();
00678 Integer x;
00679 x.Decode(dec, (size_t)dec.RemainingLength());
00680 dec.MessageEnd();
00681 if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00682 BERDecodeError();
00683 if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
00684 {
00685 BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
00686 this->AccessGroupParameters().BERDecode(parameters);
00687 parameters.MessageEnd();
00688 }
00689 if (!seq.EndReached())
00690 {
00691
00692 SecByteBlock subjectPublicKey;
00693 unsigned int unusedBits;
00694 BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
00695 BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
00696 publicKey.MessageEnd();
00697 Element Q;
00698 if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
00699 BERDecodeError();
00700 }
00701 seq.MessageEnd();
00702
00703 this->SetPrivateExponent(x);
00704 }
00705
00706 template <class EC>
00707 void DL_PrivateKey_EC<EC>::DEREncodePrivateKey(BufferedTransformation &bt) const
00708 {
00709 DERSequenceEncoder privateKey(bt);
00710 DEREncodeUnsigned<word32>(privateKey, 1);
00711
00712
00713 this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
00714 privateKey.MessageEnd();
00715 }
00716
00717 NAMESPACE_END
00718
00719 #endif