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authorAndreas Schultz <[email protected]>2013-10-30 20:27:18 +0100
committerAndreas Schultz <[email protected]>2014-01-13 13:00:24 +0100
commitc4a7fb842bcad38a979915cc830a77d526f5782e (patch)
treef120fb9bc96caab6b4ff11319431ec2a6a9bedc4 /lib/crypto/src
parent23b298c13344f75ae1d9a17580dc53d0d50ef86b (diff)
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crypto: add brainpool (RFC 5639) curves
RFC-5649, Section 1, documents the advantages that these curves might have over others (ANSI, SEC1/2)
Diffstat (limited to 'lib/crypto/src')
-rw-r--r--lib/crypto/src/crypto_ec_curves.erl223
1 files changed, 222 insertions, 1 deletions
diff --git a/lib/crypto/src/crypto_ec_curves.erl b/lib/crypto/src/crypto_ec_curves.erl
index 255a09ded3..8bd1f21edd 100644
--- a/lib/crypto/src/crypto_ec_curves.erl
+++ b/lib/crypto/src/crypto_ec_curves.erl
@@ -12,7 +12,10 @@ curves() ->
c2pnb163v3,c2pnb176v1,c2tnb191v1,c2tnb191v2,c2tnb191v3,c2pnb208w1,c2tnb239v1,
c2tnb239v2,c2tnb239v3,c2pnb272w1,c2pnb304w1,c2tnb359v1,c2pnb368w1,c2tnb431r1,
wtls1,wtls3,wtls4,wtls5,wtls6,wtls7,wtls8,wtls9,wtls10,wtls11,wtls12,ipsec3,
- ipsec4].
+ ipsec4,brainpoolP160r1,brainpoolP160t1,brainpoolP192r1,brainpoolP192t1,
+ brainpoolP224r1,brainpoolP224t1,brainpoolP256r1,brainpoolP256t1,
+ brainpoolP320r1,brainpoolP320t1,brainpoolP384r1,brainpoolP384t1,
+ brainpoolP512r1,brainpoolP512t1].
curve(secp112r1) ->
{
@@ -980,4 +983,222 @@ curve(ipsec4) ->
16#00000000000000000000000000000000000000000000000D:192>>, %% Y(p0)
<<16#FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E:184>>, %% Order
<<16#02:8>> %% CoFactor
+ };
+
+curve(brainpoolP160r1) ->
+ {
+ {prime_field, <<16#E95E4A5F737059DC60DFC7AD95B3D8139515620F:160>>}, %% Prime
+ {<<16#340E7BE2A280EB74E2BE61BADA745D97E8F7C300:160>>, %% A
+ <<16#1E589A8595423412134FAA2DBDEC95C8D8675E58:160>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3:160, %% X(p0)
+ 16#1667CB477A1A8EC338F94741669C976316DA6321:160>>, %% Y(p0)
+ <<16#E95E4A5F737059DC60DF5991D45029409E60FC09:160>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP160t1) ->
+ {
+ {prime_field, <<16#E95E4A5F737059DC60DFC7AD95B3D8139515620F:160>>}, %% Prime
+ {<<16#E95E4A5F737059DC60DFC7AD95B3D8139515620C:160>>, %% A
+ <<16#7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380:160>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#B199B13B9B34EFC1397E64BAEB05ACC265FF2378:160, %% X(p0)
+ 16#ADD6718B7C7C1961F0991B842443772152C9E0AD:160>>, %% Y(p0)
+ <<16#E95E4A5F737059DC60DF5991D45029409E60FC09:160>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP192r1) ->
+ {
+ {prime_field, <<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297:192>>}, %% Prime
+ {<<16#6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF:192>>, %% A
+ <<16#469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9:192>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6:192, %% X(p0)
+ 16#14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F:192>>, %% Y(p0)
+ <<16#C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1:192>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP192t1) ->
+ {
+ {prime_field, <<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297:192>>}, %% Prime
+ {<<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86294:192>>, %% A
+ <<16#13D56FFAEC78681E68F9DEB43B35BEC2FB68542E27897B79:192>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#3AE9E58C82F63C30282E1FE7BBF43FA72C446AF6F4618129:192, %% X(p0)
+ 16#097E2C5667C2223A902AB5CA449D0084B7E5B3DE7CCC01C9:192>>, %% Y(p0)
+ <<16#C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1:192>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP224r1) ->
+ {
+ {prime_field, <<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF:224>>}, %% Prime
+ {<<16#68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43:224>>, %% A
+ <<16#2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B:224>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D:224, %% X(p0)
+ 16#58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD:224>>, %% Y(p0)
+ <<16#D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F:224>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP224t1) ->
+ {
+ {prime_field, <<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF:224>>}, %% Prime
+ {<<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FC:224>>, %% A
+ <<16#4B337D934104CD7BEF271BF60CED1ED20DA14C08B3BB64F18A60888D:224>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#6AB1E344CE25FF3896424E7FFE14762ECB49F8928AC0C76029B4D580:224, %% X(p0)
+ 16#0374E9F5143E568CD23F3F4D7C0D4B1E41C8CC0D1C6ABD5F1A46DB4C:224>>, %% Y(p0)
+ <<16#D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F:224>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP256r1) ->
+ {
+ {prime_field, <<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377:256>>}, %% Prime
+ {<<16#7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9:256>>, %% A
+ <<16#26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6:256>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262:256, %% X(p0)
+ 16#547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997:256>>, %% Y(p0)
+ <<16#A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7:256>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP256t1) ->
+ {
+ {prime_field, <<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377:256>>}, %% Prime
+ {<<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5374:256>>, %% A
+ <<16#662C61C430D84EA4FE66A7733D0B76B7BF93EBC4AF2F49256AE58101FEE92B04:256>>, %% B
+ none}, %% Seed
+ <<16#04:8,
+ 16#A3E8EB3CC1CFE7B7732213B23A656149AFA142C47AAFBC2B79A191562E1305F4:256, %% X(p0)
+ 16#2D996C823439C56D7F7B22E14644417E69BCB6DE39D027001DABE8F35B25C9BE:256>>, %% Y(p0)
+ <<16#A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7:256>>, %% Order
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP320r1) ->
+ {
+ {prime_field, <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% Prime
+ 16#FCD412B1F1B32E27:64>>},
+ {<<16#3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F4:256, %% A
+ 16#92F375A97D860EB4:64>>,
+ <<16#520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD88453981:256, %% B
+ 16#6F5EB4AC8FB1F1A6:64>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C7:256, %% X(p0)
+ 16#10AF8D0D39E20611:64,
+ 16#14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7:256, %% Y(p0)
+ 16#D35245D1692E8EE1:64>>,
+ <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E9:256, %% Order
+ 16#8691555B44C59311:64>>,
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP320t1) ->
+ {
+ {prime_field, <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% Prime
+ 16#FCD412B1F1B32E27:64>>},
+ {<<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% A
+ 16#FCD412B1F1B32E24:64>>,
+ <<16#A7F561E038EB1ED560B3D147DB782013064C19F27ED27C6780AAF77FB8A547CE:256, %% B
+ 16#B5B4FEF422340353:64>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#925BE9FB01AFC6FB4D3E7D4990010F813408AB106C4F09CB7EE07868CC136FFF:256, %% X(p0)
+ 16#3357F624A21BED52:64,
+ 16#63BA3A7A27483EBF6671DBEF7ABB30EBEE084E58A0B077AD42A5A0989D1EE71B:256, %% Y(p0)
+ 16#1B9BC0455FB0D2C3:64>>,
+ <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E9:256, %% Order
+ 16#8691555B44C59311:64>>,
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP384r1) ->
+ {
+ {prime_field, <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% Prime
+ 16#ACD3A729901D1A71874700133107EC53:128>>},
+ {<<16#7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F:256, %% A
+ 16#8AA5814A503AD4EB04A8C7DD22CE2826:128>>,
+ <<16#04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D5:256, %% B
+ 16#7CB4390295DBC9943AB78696FA504C11:128>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8:256, %% X(p0)
+ 16#E826E03436D646AAEF87B2E247D4AF1E:128,
+ 16#8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF9912928:256, %% Y(p0)
+ 16#0E4646217791811142820341263C5315:128>>,
+ <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7:256, %% Order
+ 16#CF3AB6AF6B7FC3103B883202E9046565:128>>,
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP384t1) ->
+ {
+ {prime_field, <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% Prime
+ 16#ACD3A729901D1A71874700133107EC53:128>>},
+ {<<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% A
+ 16#ACD3A729901D1A71874700133107EC50:128>>,
+ <<16#7F519EADA7BDA81BD826DBA647910F8C4B9346ED8CCDC64E4B1ABD11756DCE1D:256, %% B
+ 16#2074AA263B88805CED70355A33B471EE:128>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#18DE98B02DB9A306F2AFCD7235F72A819B80AB12EBD653172476FECD462AABFF:256, %% X(p0)
+ 16#C4FF191B946A5F54D8D0AA2F418808CC:128,
+ 16#25AB056962D30651A114AFD2755AD336747F93475B7A1FCA3B88F2B6A208CCFE:256, %% Y(p0)
+ 16#469408584DC2B2912675BF5B9E582928:128>>,
+ <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7:256, %% Order
+ 16#CF3AB6AF6B7FC3103B883202E9046565:128>>,
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP512r1) ->
+ {
+ {prime_field, <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% Prime
+ 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3:256>>},
+ {<<16#7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC:256, %% A
+ 16#2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA:256>>,
+ <<16#3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A7:256, %% B
+ 16#2BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723:256>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098E:256, %% X(p0)
+ 16#FF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822:256,
+ 16#7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111:256, %% Y(p0)
+ 16#B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892:256>>,
+ <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870:256, %% Order
+ 16#553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069:256>>,
+ <<16#01:8>> %% CoFactor
+ };
+
+curve(brainpoolP512t1) ->
+ {
+ {prime_field, <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% Prime
+ 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3:256>>},
+ {<<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% A
+ 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F0:256>>,
+ <<16#7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A6:256, %% B
+ 16#2BCDFA2304976540F6450085F2DAE145C22553B465763689180EA2571867423E:256>>,
+ none}, %% Seed
+ <<16#04:8,
+ 16#640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D:256, %% X(p0)
+ 16#82BA51735CDB3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA:256,
+ 16#5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9:256, %% Y(p0)
+ 16#D9932184BEEF216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332:256>>,
+ <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870:256, %% Order
+ 16#553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069:256>>,
+ <<16#01:8>> %% CoFactor
}.
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-27 04:17:09 +0000