/* * List of ECC groups * (C) 2013,2018 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include namespace Botan { //static std::shared_ptr EC_Group::EC_group_info(const OID& oid) { // P-256 if(oid == OID{1,2,840,10045,3,1,7}) return load_EC_group_info("0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", "0xFFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", "0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", "0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", "0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5", "0xFFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551", oid); // P-384 if(oid == OID{1,3,132,0,34}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC", "0xB3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF", "0xAA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7", "0x3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973", oid); // P-521 if(oid == OID{1,3,132,0,35}) return load_EC_group_info("0x1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "0x1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", "0x51953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", "0xC6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", "0x11839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650", "0x1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409", oid); // brainpool160r1 if(oid == OID{1,3,36,3,3,2,8,1,1,1}) return load_EC_group_info("0xE95E4A5F737059DC60DFC7AD95B3D8139515620F", "0x340E7BE2A280EB74E2BE61BADA745D97E8F7C300", "0x1E589A8595423412134FAA2DBDEC95C8D8675E58", "0xBED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3", "0x1667CB477A1A8EC338F94741669C976316DA6321", "0xE95E4A5F737059DC60DF5991D45029409E60FC09", oid); // brainpool192r1 if(oid == OID{1,3,36,3,3,2,8,1,1,3}) return load_EC_group_info("0xC302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297", "0x6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF", "0x469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9", "0xC0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6", "0x14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F", "0xC302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1", oid); // brainpool224r1 if(oid == OID{1,3,36,3,3,2,8,1,1,5}) return load_EC_group_info("0xD7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF", "0x68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43", "0x2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B", "0xD9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D", "0x58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD", "0xD7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F", oid); // brainpool256r1 if(oid == OID{1,3,36,3,3,2,8,1,1,7}) return load_EC_group_info("0xA9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377", "0x7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9", "0x26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6", "0x8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262", "0x547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997", "0xA9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7", oid); // brainpool320r1 if(oid == OID{1,3,36,3,3,2,8,1,1,9}) return load_EC_group_info("0xD35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27", "0x3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4", "0x520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6", "0x43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E20611", "0x14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1", "0xD35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311", oid); // brainpool384r1 if(oid == OID{1,3,36,3,3,2,8,1,1,11}) return load_EC_group_info("0x8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53", "0x7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826", "0x4A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11", "0x1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E", "0x8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315", "0x8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565", oid); // brainpool512r1 if(oid == OID{1,3,36,3,3,2,8,1,1,13}) return load_EC_group_info("0xAADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", "0x7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA", "0x3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723", "0x81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822", "0x7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892", "0xAADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", oid); // frp256v1 if(oid == OID{1,2,250,1,223,101,256,1}) return load_EC_group_info("0xF1FD178C0B3AD58F10126DE8CE42435B3961ADBCABC8CA6DE8FCF353D86E9C03", "0xF1FD178C0B3AD58F10126DE8CE42435B3961ADBCABC8CA6DE8FCF353D86E9C00", "0xEE353FCA5428A9300D4ABA754A44C00FDFEC0C9AE4B1A1803075ED967B7BB73F", "0xB6B3D4C356C139EB31183D4749D423958C27D2DCAF98B70164C97A2DD98F5CFF", "0x6142E0F7C8B204911F9271F0F3ECEF8C2701C307E8E4C9E183115A1554062CFB", "0xF1FD178C0B3AD58F10126DE8CE42435B53DC67E140D2BF941FFDD459C6D655E1", oid); // gost_256A if(oid == OID{1,2,643,2,2,35,1} || oid == OID{1,2,643,2,2,36,0} || oid == OID{1,2,643,7,1,2,1,1,1}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD94", "0xA6", "0x1", "0x8D91E471E0989CDA27DF505A453F2B7635294F2DDF23E3B122ACC99C9E9F1E14", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6C611070995AD10045841B09B761B893", OID{1,2,643,7,1,2,1,1,1}); // gost_512A if(oid == OID{1,2,643,7,1,2,1,2,1}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC7", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC4", "0xE8C2505DEDFC86DDC1BD0B2B6667F1DA34B82574761CB0E879BD081CFD0B6265EE3CB090F30D27614CB4574010DA90DD862EF9D4EBEE4761503190785A71C760", "3", "0x7503CFE87A836AE3A61B8816E25450E6CE5E1C93ACF1ABC1778064FDCBEFA921DF1626BE4FD036E93D75E6A50E3A41E98028FE5FC235F5B889A589CB5215F2A4", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF27E69532F48D89116FF22B8D4E0560609B4B38ABFAD2B85DCACDB1411F10B275", oid); // secp160k1 if(oid == OID{1,3,132,0,9}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", "0x0", "0x7", "0x3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", "0x938CF935318FDCED6BC28286531733C3F03C4FEE", "0x100000000000000000001B8FA16DFAB9ACA16B6B3", oid); // secp160r1 if(oid == OID{1,3,132,0,8}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", "0x1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", "0x4A96B5688EF573284664698968C38BB913CBFC82", "0x23A628553168947D59DCC912042351377AC5FB32", "0x100000000000000000001F4C8F927AED3CA752257", oid); // secp160r2 if(oid == OID{1,3,132,0,30}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", "0xB4E134D3FB59EB8BAB57274904664D5AF50388BA", "0x52DCB034293A117E1F4FF11B30F7199D3144CE6D", "0xFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E", "0x100000000000000000000351EE786A818F3A1A16B", oid); // secp192k1 if(oid == OID{1,3,132,0,31}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", "0x0", "0x3", "0xDB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", "0x9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D", "0xFFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", oid); // secp192r1 if(oid == OID{1,2,840,10045,3,1,1}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "0x64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", "0x188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", "0x7192B95FFC8DA78631011ED6B24CDD573F977A11E794811", "0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831", oid); // secp224k1 if(oid == OID{1,3,132,0,32}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", "0x0", "0x5", "0xA1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", "0x7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5", "0x10000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", oid); // secp224r1 if(oid == OID{1,3,132,0,33}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", "0xB4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", "0xB70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", "0xBD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", oid); // secp256k1 if(oid == OID{1,3,132,0,10}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", "0x0", "0x7", "0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", "0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", oid); // sm2p256v1 if(oid == OID{1,2,156,10197,1,301}) return load_EC_group_info("0xFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", "0xFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFC", "0x28E9FA9E9D9F5E344D5A9E4BCF6509A7F39789F515AB8F92DDBCBD414D940E93", "0x32C4AE2C1F1981195F9904466A39C9948FE30BBFF2660BE1715A4589334C74C7", "0xBC3736A2F4F6779C59BDCEE36B692153D0A9877CC62A474002DF32E52139F0A0", "0xFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", oid); // x962_p192v2 if(oid == OID{1,2,840,10045,3,1,2}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "0xCC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", "0xEEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", "0x6574D11D69B6EC7A672BB82A083DF2F2B0847DE970B2DE15", "0xFFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31", oid); // x962_p192v3 if(oid == OID{1,2,840,10045,3,1,3}) return load_EC_group_info("0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", "0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", "0x22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", "0x7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", "0x38A90F22637337334B49DCB66A6DC8F9978ACA7648A943B0", "0xFFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13", oid); // x962_p239v1 if(oid == OID{1,2,840,10045,3,1,4}) return load_EC_group_info("0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "0x6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", "0xFFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", "0x7DEBE8E4E90A5DAE6E4054CA530BA04654B36818CE226B39FCCB7B02F1AE", "0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B", oid); // x962_p239v2 if(oid == OID{1,2,840,10045,3,1,5}) return load_EC_group_info("0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "0x617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", "0x38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", "0x5B0125E4DBEA0EC7206DA0FC01D9B081329FB555DE6EF460237DFF8BE4BA", "0x7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063", oid); // x962_p239v3 if(oid == OID{1,2,840,10045,3,1,6}) return load_EC_group_info("0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", "0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", "0x255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", "0x6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", "0x1607E6898F390C06BC1D552BAD226F3B6FCFE48B6E818499AF18E3ED6CF3", "0x7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551", oid); return std::shared_ptr(); } //static const std::set& EC_Group::known_named_groups() { static const std::set named_groups = { "secp160k1", "secp160r1", "secp160r2", "secp192k1", "secp192r1", "secp224k1", "secp224r1", "secp256k1", "secp256r1", "secp384r1", "secp521r1", "brainpool160r1", "brainpool192r1", "brainpool224r1", "brainpool256r1", "brainpool320r1", "brainpool384r1", "brainpool512r1", "x962_p192v2", "x962_p192v3", "x962_p239v1", "x962_p239v2", "x962_p239v3", "gost_256A", "gost_512A", "frp256v1", "sm2p256v1" }; return named_groups; } }