Uprating of the passphrase pixie.

[u/mdw/catacomb] / ectab.in

diff --git a/ectab.in b/ectab.in
index ce4078d..7520b03 100644 (file)
--- a/ectab.in
+++ b/ectab.in
@@ -1,4 +1,4 @@
-# $Id: ectab.in,v 1.2 2004/04/01 21:28:41 mdw Exp $
+# $Id$
 #
 # Standard ellipic curves
 
@@ -12,7 +12,6 @@ curve secp112r1 prime
   h 1
   gx 0x09487239995a5ee76b55f9c2f098
   gy 0xa89ce5af8724c0a23e0e0ff77500
-
 curve secp112r2 prime
   p 0xdb7c2abf62e35e668076bead208b
   a 0x6127c24c05f38a0aaaf65c0ef02c
@@ -30,7 +29,6 @@ curve secp128r1 niceprime
   h 1
   gx 0x161ff7528b899b2d0c28607ca52c5b86
   gy 0xcf5ac8395bafeb13c02da292dded7a83
-
 curve secp128r2 niceprime
   p 0xfffffffdffffffffffffffffffffffff
   a 0xd6031998d1b3bbfebf59cc9bbff9aee1
@@ -48,7 +46,6 @@ curve secp160k1 niceprime
   h 1
   gx 0x3b4c382ce37aa192a4019e763036f4f5dd4d7ebb
   gy 0x938cf935318fdced6bc28286531733c3f03c4fee
-
 curve secp160r1 niceprime
   p 0xffffffffffffffffffffffffffffffff7fffffff
   a 0xffffffffffffffffffffffffffffffff7ffffffc
@@ -57,7 +54,6 @@ curve secp160r1 niceprime
   h 1
   gx 0x4a96b5688ef573284664698968c38bb913cbfc82
   gy 0x23a628553168947d59dcc912042351377ac5fb32
-
 curve secp160r2 niceprime
   p 0xfffffffffffffffffffffffffffffffeffffac73
   a 0xfffffffffffffffffffffffffffffffeffffac70
@@ -75,7 +71,6 @@ curve secp192k1 niceprime
   h 1
   gx 0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d
   gy 0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d
-
 curve secp192r1 niceprime
   p 0xfffffffffffffffffffffffffffffffeffffffffffffffff
   a 0xfffffffffffffffffffffffffffffffefffffffffffffffc
@@ -93,7 +88,6 @@ curve secp224k1 niceprime
   h 1
   gx 0xa1455b334df099df30fc28a169a467e9e47075a90f7e650eb6b7a45c
   gy 0x7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5
-
 curve secp224r1 niceprime
   p 0xffffffffffffffffffffffffffffffff000000000000000000000001
   a 0xfffffffffffffffffffffffffffffffefffffffffffffffffffffffe
@@ -111,7 +105,6 @@ curve secp256k1 niceprime
   h 1
   gx 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
   gy 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
-
 curve secp256r1 niceprime
   p 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff
   a 0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc
@@ -147,7 +140,6 @@ curve sect113r1 binpoly
   h 2
   gx 0x009d73616f35f4ab1407d73562c10f
   gy 0x00a52830277958ee84d1315ed31886
-
 curve sect113r2 binpoly
   p 0x20000000000000000000000000201
   a 0x00689918dbec7e5a0dd6dfc0aa55c7
@@ -165,7 +157,6 @@ curve sect131r1 binpoly
   h 2
   gx 0x0081baf91fdf9833c40f9c181343638399
   gy 0x078c6e7ea38c001f73c8134b1b4ef9e150
-
 curve sect131r2 binpoly
   p 0x80000000000000000000000000000010d
   a 0x03e5a88919d7cafcbf415f07c2176573b2
@@ -183,7 +174,6 @@ curve sect163k1 binpoly
   h 2
   gx 0x02fe13c0537bbc11acaa07d793de4e6d5e5c94eee8
   gy 0x0289070fb05d38ff58321f2e800536d538ccdaa3d9
-
 curve sect163r1 binpoly
   p 0x800000000000000000000000000000000000000c9
   a 0x07b6882caaefa84f9554ff8428bd88e246d2782ae2
@@ -192,7 +182,6 @@ curve sect163r1 binpoly
   h 2
   gx 0x0369979697ab43897789566789567f787a7876a654
   gy 0x00435edb42efafb2989d51fefce3c80988f41ff883
-
 curve sect163r2 binpoly
   p 0x800000000000000000000000000000000000000c9
   a 1
@@ -210,7 +199,6 @@ curve sect193r1 binpoly
   h 2
   gx 0x01f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1
   gy 0x0025e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05
-
 curve sect193r2 binpoly
   p 0x2000000000000000000000000000000000000000000008001
   a 0x0163f35a5137c2ce3ea6ed8667190b0bc43ecd69977702709b
@@ -228,7 +216,6 @@ curve sect233k1 binpoly
   h 4
   gx 0x017232ba853a7e731af129f22ff4149563a419c26bf50a4c9d6eefad6126
   gy 0x01db537dece819b7f70f555a67c427a8cd9bf18aeb9b56e0c11056fae6a3
-
 curve sect233r1 binpoly
   p 0x20000000000000000000000000000000000000004000000000000000001
   a 1
@@ -255,7 +242,6 @@ curve sect283k1 binpoly
   h 4
   gx 0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836
   gy 0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259
-
 curve sect283r1 binpoly
   p 0x800000000000000000000000000000000000000000000000000000000000000000010a1
   a 1
@@ -273,7 +259,6 @@ curve sect409k1 binpoly
   h 4
   gx 0x0060f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746
   gy 0x01e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b
-
 curve sect409r1 binpoly
   p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
   a 1
@@ -291,7 +276,6 @@ curve sect571k1 binpoly
   h 4
   gx 0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972
   gy 0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3
-
 curve sect571r1 binpoly
   p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
   a 1
@@ -301,24 +285,184 @@ curve sect571r1 binpoly
   gx 0x0303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19
   gy 0x037bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b
 
-#----- Curves from RFC2414 (Oakley) -----------------------------------------
+#----- Curves from ANSI X9.62 -----------------------------------------------
 #
-# oakley155 has too large a cofactor
-# oakley185's group has composite order; we double the generator to
-#   produce a group of composite order
+# The conversion factors for the normal basis representations were generated
+# because none were given in the document.
+
+curve ansi-c2pnb163v1 binpoly
+  p 0x080000000000000000000000000000000000000107
+  a 0x072546b5435234a422e0789675f432c89435de5242
+  b 0x00c9517d06d5240d3cff38c74b20b6cd4d6f9dd4d9
+  r 0x0400000000000000000001e60fc8821cc74daeafc1
+  h 2
+  gx 0x07af69989546103d79329fcc3d74880f33bbe803cb
+  gy 0x01ec23211b5966adea1d3f87f7ea5848aef0b7ca9f
+curve ansi-c2pnb163v2 binpoly
+  p 0x080000000000000000000000000000000000000107
+  a 0x0108b39e77c4b108bed981ed0e890e117c511cf072
+  b 0x0667aceb38af4e488c407433ffae4f1c811638df20
+  r 0x03fffffffffffffffffffdf64de1151adbb78f10a7
+  h 2
+  gx 0x0024266e4eb5106d0a964d92c4860e2671db9b6cc5
+  gy 0x079f684ddf6684c5cd258b3890021b2386dfd19fc5
+curve ansi-c2pnb163v3 binpoly
+  p 0x080000000000000000000000000000000000000107
+  a 0x07a526c63d3e25a256a007699f5447e32ae456b50e
+  b 0x03f7061798eb99e238fd6f1bf95b48feeb4854252b
+  r 0x03fffffffffffffffffffe1aee140f110aff961309
+  h 2
+  gx 0x02f9f87b7c574d0bdecf8a22e6524775f98cdebdcb
+  gy 0x05b935590c155e17ea48eb3ff3718b893df59a05d0
 
-curve oakley185 binpoly
-  p 0x020000000000000000000000000000200000000000000001
-  a 0
-  b 0x1ee9
-  r 0x007ffffffffffffffffffffff6fcbe226dcf92105d7e53af
+# ansi-c2pnb176w1 has an unacceptable cofactor; and 176 isn't prime anyway
+
+curve ansi-c2tnb191v1 binpoly
+  p 0x800000000000000000000000000000000000000000000201
+  a 0x2866537b676752636a68f56554e12640276b649ef7526267
+  b 0x2e45ef571f00786f67b0081b9495a3d95462f5de0aa185ec
+  r 0x40000000000000000000000004a20e90c39067c893bbb9a5
+  h 2
+  gx 0x36b3daf8a23206f9c4f299d7b21a9c369137f2c84ae1aa0d
+  gy 0x765be73433b3f95e332932e70ea245ca2418ea0ef98018fb
+curve ansi-c2tnb191v2 binpoly
+  p 0x800000000000000000000000000000000000000000000201
+  a 0x401028774d7777c7b7666d1366ea432071274f89ff01e718
+  b 0x0620048d28bcbd03b6249c99182b7c8cd19700c362c46a01
+  r 0x20000000000000000000000050508cb89f652824e06b8173
+  h 4
+  gx 0x3809b2b7cc1b28cc5a87926aad83fd28789e81e2c9e3bf10
+  gy 0x17434386626d14f3dbf01760d9213a3e1cf37aec437d668a
+# ansi-c2tnb191v3 and ansi-c2onb191v2 have unacceptable cofactor
+curve ansi-c2onb191v1 binnorm
+  p 0x800000000000000000000000000000000000000000000201
+  beta 0x19c409a7f85383bf0ef72b097a5c7398013a2dba6269292d
+  a 0x65903e04e1e4924253e26a3c9ac28c758bd8184a3fb680e8
+  b 0x54678621b190cfce282ade219d5b3a065e3f4b3ffdebb29b
+  r 0x4000000000000000000000009cf2d6e3901dac4c32eec65d
+  h 2
+  gx 0x5a2c69a32e8638e51ccefaad05350a978457cb5fb6df994a 
+  gy 0x0f32fe0fa0e902f19b17d363c269f4f5cfe8087618569954
+
+# ansi-c2pnb208v1 has an unacceptable cofactor; and 208 isn't prime anyway
+
+curve ansi-c2tnb239v1 binpoly
+  p 0x800000000000000000000000000000000000000000000000001000000001
+  a 0x32010857077c5431123a46b808906756f543423e8d27877578125778ac76
+  b 0x790408f2eedaf392b012edefb3392f30f4327c0ca3f31fc383c422aa8c16
+  r 0x2000000000000000000000000000000f4d42ffe1492a4993f1cad666e447
+  h 4
+  gx 0x57927098fa932e7c0a96d3fd5b706ef7e5f5c156e16b7e7c86038552e91d
+  gy 0x61d8ee5077c33fecf6f1a16b268de469c3c7744ea9a971649fc7a9616305
+# ansi-c2tnb239v{2,3} and ansi-c2onb239v2 have unacceptable cofactors
+curve ansi-c2onb239v1 binnorm
+  p 0x800000000000000000000000000000000000000000000000001000000001
+  beta 0x3b5ce9846911b248f9347018a7ac8cce3662cee952ba45becd02d4b903ec
+  a 0x182dd45f5d470239b8983fea47b8b292641c57f9bf84baecde8bb3adce30
+  b 0x147a9c1d4c2ce9be5d34ec02797f76667ebad5a3f93fa2a524bfde91ef28
+  r 0x200000000000000000000000000000474f7e69f42fe430931d0b455aae8b
   h 4
-  gx 0x1bd555555555555555555555555554e8000000000000158
-  gy 0x14e999999999999999999999999998d7000000000001fe6
+  gx 0x4912ad657f1d1c6b32edb9942c95e226b06fb012cd40fdea0d72197c8104
+  gy 0x01f1fbc3d21168fd3f66c441c2b5c6cfdcd9ed3e13646b7a4db9a3b0c286
+
+# ansi-c2pnb272w1 has an unacceptable cofactor; and 272 isn't prime anyway
+
+# ansi-c2pnb304w1 has an unacceptable cofactor; and 304 isn't prime anyway
+
+# ansi-c2tnb359v1 has an unacceptable cofactor
+
+# ansi-c2pnb368w1 has an unacceptable cofactor; and 368 isn't prime anyway
+
+# ansi-c2tnb431v1 has an unacceptable cofactor
+
+alias ansi-prime192v1 secp192r1
+curve ansi-prime192v2 niceprime
+  p 0xfffffffffffffffffffffffffffffffeffffffffffffffff
+  a 0xfffffffffffffffffffffffffffffffefffffffffffffffc
+  b 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953
+  r 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31
+  h 1
+  gx 0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a
+  gy 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15
+curve ansi-prime192v3 niceprime
+  p 0xfffffffffffffffffffffffffffffffeffffffffffffffff
+  a 0xfffffffffffffffffffffffffffffffefffffffffffffffc
+  b 0x22123dc2395a05caa7423daeccc94760a7d462256bd56916
+  r 0xffffffffffffffffffffffff7a62d031c83f4294f640ec13
+  h 1
+  gx 0x7d29778100c65a1da1783716588dce2b8b4aee8e228f1896
+  gy 0x38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0
+
+curve ansi-prime239v1 niceprime
+  p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff
+  a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc
+  b 0x6b016c3bdcf18941d0d654921475ca71a9db2fb27d1d37796185c2942c0a
+  r 0x7fffffffffffffffffffffff7fffff9e5e9a9f5d9071fbd1522688909d0b
+  h 1
+  gx 0x0ffa963cdca8816ccc33b8642bedf905c3d358573d3f27fbbd3b3cb9aaaf
+  gy 0x7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae
+curve ansi-prime239v2 niceprime
+  p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff
+  a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc
+  b 0x617fab6832576cbbfed50d99f0249c3fee58b94ba0038c7ae84c8c832f2c
+  r 0x7fffffffffffffffffffffff800000cfa7e8594377d414c03821bc582063
+  h 1
+  gx 0x38af09d98727705120c921bb5e9e26296a3cdcf2f35757a0eafd87b830e7
+  gy 0x5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba
+curve ansi-prime239v3 niceprime
+  p 0x7fffffffffffffffffffffff7fffffffffff8000000000007fffffffffff
+  a 0x7fffffffffffffffffffffff7fffffffffff8000000000007ffffffffffc
+  b 0x255705fa2a306654b1f4cb03d6a750a30c250102d4988717d9ba15ab6d3e
+  r 0x7fffffffffffffffffffffff7fffff975deb41b3a6057c3c432146526551
+  h 1
+  gx 0x6768ae8e18bb92cfcf005c949aa2c6d94853d0e660bbf854b1c9505fe95a
+  gy 0x1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3
+
+alias ansi-prime256v1 secp256r1
+
+#----- Curves from ANSI X9.63 -----------------------------------------------
+#
+# These are just duplicates of the SEC curves.
+
+alias ansit163k1 sect163k1
+alias ansit163r1 sect163r1
+alias ansit163r2 sect163r2
+alias ansit193r1 sect193r1
+alias ansit193r2 sect193r2
+alias ansit233k1 sect233k1
+alias ansit233r1 sect233r1
+alias ansit239k1 sect239k1
+alias ansit283k1 sect283k1
+alias ansit283r1 sect283r1
+alias ansit409k1 sect409k1
+alias ansit409r1 sect409r1
+alias ansit571k1 sect571k1
+alias ansit571r1 sect571r1
+
+alias ansip160k1 secp160k1
+alias ansip160r1 secp160r1
+alias ansip160r2 secp160r2
+alias ansip192k1 secp192k1
+alias ansip192r1 secp192r1
+alias ansip224k1 secp224k1
+alias ansip224r1 secp224r1
+alias ansip256k1 secp256k1
+alias ansip256r1 secp256r1
+alias ansip384r1 secp384r1
+alias ansip521r1 secp521r1
+
+#----- Curves from RFC2414 (Oakley) -----------------------------------------
+#
+# The Oakley curves are not good:
+#   oakley155 has too large a cofactor
+#   oakley185's field has composite degree
+# Hence, we include neither here.
 
 #----- NIST curves from FIPS186-2 -------------------------------------------
 #
-# Most of these are duplicates of SEC2 curves.
+# These are duplicates of SEC2 curves.  However, the normal basis
+# representations aren't in SEC, so we give them here.  (Conversion factors
+# from FIPS186-2.
 
 alias nist-p192 secp192r1
 alias nist-p224 secp224r1
@@ -347,7 +491,6 @@ curve nist-k163n binnorm
   h 2
   gx 0x05679b353caa46825fea2d3713ba450da0c2a4541
   gy 0x235b7c6710050689906bac3d9dec76a835591edb2
-
 curve nist-b163n binnorm
   p 0x800000000000000000000000000000000000000c9
   beta 0x715169c109c612e390d347c748342bcd3b02a0bef
@@ -367,7 +510,6 @@ curve nist-k233n binnorm
   h 4
   gx 0x0fde76d9dcd26e643ac26f1aa901aa129784b71fc0722b2d05614d650b3
   gy 0x0643e317633155c9e0447ba8020a3c43177450ee036d633501434cac978
-
 curve nist-b233n binnorm
   p 0x20000000000000000000000000000000000000004000000000000000001
   beta 0x1499e398ac5d79e368559b35ca49bb7305da6c0390bcf9e2300253203c9
@@ -387,7 +529,6 @@ curve nist-k283n binnorm
   h 4
   gx 0x3ab9593f8db09fc188f1d7c4ac9fcc3e57fcd3bdb15024b212c70229de5fcd92eb0ea60
   gy 0x2118c4755e7345cd8f603ef93b98b106fe8854ffeb9a3b304634cc83a0e759f0c2686b1
-
 curve nist-b283n binnorm
   p 0x800000000000000000000000000000000000000000000000000000000000000000010a1 
   beta 0x31e0ed791c3282dc5624a720818049d053e8c7ab8663792bc1d792eba9867fc7b317a99
@@ -407,7 +548,6 @@ curve nist-k409n binnorm
   h 4
   gx 0x1b559c7cba2422e3affe13343e808b55e012d726ca0b7e6a63aeafbc1e3a98e10ca0fcf98350c3b7f89a9754a8e1dc0713cec4a
   gy 0x16d8c42052f07e7713e7490eff318ba1abd6fef8a5433c894b24f5c817aeb79852496fbee803a47bc8a203878ebf1c499afd7d6
-
 curve nist-b409n binnorm
   p 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
   beta 0x0dfa06be206aa97b7a41fffb9b0c55f8f048062fbe8381b4248adf92912ccc8e3f91a24e1cfb3950532b988971c23042e85708d
@@ -427,13 +567,11 @@ curve nist-k571n binnorm
   h 4
   gx 0x04bb2dba418d0db107adae003427e5d7cc139acb465e5934f0bea2ab2f3622bc29b3d5b9aa7a1fdfd5d8be66057c1008e71e484bcd98f22bf8476423767367429ef2ec5bc3ebcf7
   gy 0x44cbb57de20788d2c952d7b56cf39bd3e89b18984bd124e751ceff4369dd8dac6a59e6e745df44d8220ce22aa2c852cfcbbef49ebaa98bd2483e33180e04286feaa253050caff60
-
 curve nist-b571n binnorm
   p 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
   beta 0x452186bbf5840a0bcf8c9f02a54efa04e813b43c3d4149606c4d27b487bf107393c8907f79d9778beb35ee87467d3288274caebda6ce05aeb4ca5cf3c3044bd4372232f2c1a27c4
   a 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
   b 0x3762d0d47116006179da35688eeaccf591a5cdea75000118d9608c59132d43426101a1dfb3774115f586623f75f00001ce611983c1275fa31f5bc9f4be1a0f467f01ca885c74777
-
   r 0x03ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47
   h 2
   gx 0x0735e035def5925cc33173eb2a8ce7767522b466d278b650a2916127dfea9d2d361089f0a7a0247a184e1c70d417866e0fe0feb0ff8f2f3f9176418f97d117e624e2015df1662a8