X-Git-Url: http://www.git.cypherpunks.ru/?a=blobdiff_plain;f=pygost%2Fgost3410.py;h=a3e2f7ad8c316458ee8916398842c6dde1af1f07;hb=3d854c61b4a7446ccf8d4b1b6cfd2297d81d6b07;hp=7e92e3422c29b0b5ae569257143196a945836a04;hpb=ccf38ecbf1c166c0817893afd85bcb0976e09789;p=pygost.git diff --git a/pygost/gost3410.py b/pygost/gost3410.py index 7e92e34..a3e2f7a 100644 --- a/pygost/gost3410.py +++ b/pygost/gost3410.py @@ -1,6 +1,6 @@ # coding: utf-8 # PyGOST -- Pure Python GOST cryptographic functions library -# Copyright (C) 2015-2020 Sergey Matveev +# Copyright (C) 2015-2021 Sergey Matveev # # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by @@ -13,7 +13,7 @@ # # You should have received a copy of the GNU General Public License # along with this program. If not, see . -""" GOST R 34.10 public-key signature function. +"""GOST R 34.10 public-key signature function. This is implementation of GOST R 34.10-2001 (:rfc:`5832`), GOST R 34.10-2012 (:rfc:`7091`). The difference between 2001 and 2012 is the @@ -28,14 +28,14 @@ from pygost.utils import long2bytes from pygost.utils import modinvert -MODE2SIZE = { - 2001: 32, - 2012: 64, -} +def point_size(point): + """Determine is it either 256 or 512 bit point + """ + return (512 // 8) if point.bit_length() > 256 else (256 // 8) class GOST3410Curve(object): - """ GOST 34.10 validated curve + """GOST 34.10 validated curve >>> curve = CURVES["id-GostR3410-2001-TestParamSet"] >>> prv = prv_unmarshal(urandom(32)) @@ -53,21 +53,29 @@ class GOST3410Curve(object): the canonical form :param long e, d: coefficients of the equation of the elliptic curve in the twisted Edwards form + :param str name: human-readable curve name """ - def __init__(self, p, q, a, b, x, y, e=None, d=None): + def __init__(self, p, q, a, b, x, y, cofactor=1, e=None, d=None, name=None): self.p = p self.q = q self.a = a self.b = b self.x = x self.y = y + self.cofactor = cofactor self.e = e self.d = d - r1 = self.y * self.y % self.p - r2 = ((self.x * self.x + self.a) * self.x + self.b) % self.p - if r1 != self.pos(r2): + if not self.contains((x, y)): raise ValueError("Invalid parameters") self._st = None + self.name = name + + @property + def point_size(self): + return point_size(self.p) + + def __repr__(self): + return "<%s: %s>" % (self.__class__.__name__, self.name) def pos(self, v): """Make positive number @@ -76,6 +84,16 @@ class GOST3410Curve(object): return v + self.p return v + def contains(self, point): + """Is point on the curve? + + :type point: (long, long) + """ + x, y = point + r1 = y * y % self.p + r2 = ((x * x + self.a) * x + self.b) % self.p + return r1 == self.pos(r2) + def _add(self, p1x, p1y, p2x, p2y): if p1x == p2x and p1y == p2y: # double @@ -107,7 +125,7 @@ class GOST3410Curve(object): """Compute s/t parameters for twisted Edwards curve points conversion """ if self.e is None or self.d is None: - raise ValueError("non twisted Edwards curve") + raise ValueError("Non twisted Edwards curve") if self._st is not None: return self._st self._st = ( @@ -134,7 +152,18 @@ CURVES = { x=bytes2long(hexdec("0000000000000000000000000000000000000000000000000000000000000002")), y=bytes2long(hexdec("08E2A8A0E65147D4BD6316030E16D19C85C97F0A9CA267122B96ABBCEA7E8FC8")), ), - "id-GostR3410-2001-CryptoPro-A-ParamSet": GOST3410Curve( + "id-tc26-gost-3410-12-256-paramSetA": GOST3410Curve( + p=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97")), + q=bytes2long(hexdec("400000000000000000000000000000000FD8CDDFC87B6635C115AF556C360C67")), + a=bytes2long(hexdec("C2173F1513981673AF4892C23035A27CE25E2013BF95AA33B22C656F277E7335")), + b=bytes2long(hexdec("295F9BAE7428ED9CCC20E7C359A9D41A22FCCD9108E17BF7BA9337A6F8AE9513")), + x=bytes2long(hexdec("91E38443A5E82C0D880923425712B2BB658B9196932E02C78B2582FE742DAA28")), + y=bytes2long(hexdec("32879423AB1A0375895786C4BB46E9565FDE0B5344766740AF268ADB32322E5C")), + cofactor=4, + e=0x01, + d=bytes2long(hexdec("0605F6B7C183FA81578BC39CFAD518132B9DF62897009AF7E522C32D6DC7BFFB")), + ), + "id-tc26-gost-3410-12-256-paramSetB": GOST3410Curve( p=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97")), q=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6C611070995AD10045841B09B761B893")), a=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD94")), @@ -142,7 +171,7 @@ CURVES = { x=bytes2long(hexdec("0000000000000000000000000000000000000000000000000000000000000001")), y=bytes2long(hexdec("8D91E471E0989CDA27DF505A453F2B7635294F2DDF23E3B122ACC99C9E9F1E14")), ), - "id-GostR3410-2001-CryptoPro-B-ParamSet": GOST3410Curve( + "id-tc26-gost-3410-12-256-paramSetC": GOST3410Curve( p=bytes2long(hexdec("8000000000000000000000000000000000000000000000000000000000000C99")), q=bytes2long(hexdec("800000000000000000000000000000015F700CFFF1A624E5E497161BCC8A198F")), a=bytes2long(hexdec("8000000000000000000000000000000000000000000000000000000000000C96")), @@ -150,7 +179,7 @@ CURVES = { x=bytes2long(hexdec("0000000000000000000000000000000000000000000000000000000000000001")), y=bytes2long(hexdec("3FA8124359F96680B83D1C3EB2C070E5C545C9858D03ECFB744BF8D717717EFC")), ), - "id-GostR3410-2001-CryptoPro-C-ParamSet": GOST3410Curve( + "id-tc26-gost-3410-12-256-paramSetD": GOST3410Curve( p=bytes2long(hexdec("9B9F605F5A858107AB1EC85E6B41C8AACF846E86789051D37998F7B9022D759B")), q=bytes2long(hexdec("9B9F605F5A858107AB1EC85E6B41C8AA582CA3511EDDFB74F02F3A6598980BB9")), a=bytes2long(hexdec("9B9F605F5A858107AB1EC85E6B41C8AACF846E86789051D37998F7B9022D7598")), @@ -158,17 +187,7 @@ CURVES = { x=bytes2long(hexdec("0000000000000000000000000000000000000000000000000000000000000000")), y=bytes2long(hexdec("41ECE55743711A8C3CBF3783CD08C0EE4D4DC440D4641A8F366E550DFDB3BB67")), ), - "id-tc26-gost-3410-2012-256-paramSetA": GOST3410Curve( - p=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD97")), - q=bytes2long(hexdec("400000000000000000000000000000000FD8CDDFC87B6635C115AF556C360C67")), - a=bytes2long(hexdec("C2173F1513981673AF4892C23035A27CE25E2013BF95AA33B22C656F277E7335")), - b=bytes2long(hexdec("295F9BAE7428ED9CCC20E7C359A9D41A22FCCD9108E17BF7BA9337A6F8AE9513")), - x=bytes2long(hexdec("91E38443A5E82C0D880923425712B2BB658B9196932E02C78B2582FE742DAA28")), - y=bytes2long(hexdec("32879423AB1A0375895786C4BB46E9565FDE0B5344766740AF268ADB32322E5C")), - e=0x01, - d=bytes2long(hexdec("0605F6B7C183FA81578BC39CFAD518132B9DF62897009AF7E522C32D6DC7BFFB")), - ), - "id-tc26-gost-3410-2012-512-paramSetTest": GOST3410Curve( + "id-tc26-gost-3410-12-512-paramSetTest": GOST3410Curve( p=bytes2long(hexdec("4531ACD1FE0023C7550D267B6B2FEE80922B14B2FFB90F04D4EB7C09B5D2D15DF1D852741AF4704A0458047E80E4546D35B8336FAC224DD81664BBF528BE6373")), q=bytes2long(hexdec("4531ACD1FE0023C7550D267B6B2FEE80922B14B2FFB90F04D4EB7C09B5D2D15DA82F2D7ECB1DBAC719905C5EECC423F1D86E25EDBE23C595D644AAF187E6E6DF")), a=7, @@ -192,27 +211,38 @@ CURVES = { x=bytes2long(hexdec("00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002")), y=bytes2long(hexdec("1A8F7EDA389B094C2C071E3647A8940F3C123B697578C213BE6DD9E6C8EC7335DCB228FD1EDF4A39152CBCAAF8C0398828041055F94CEEEC7E21340780FE41BD")), ), - "id-tc26-gost-3410-2012-512-paramSetC": GOST3410Curve( + "id-tc26-gost-3410-12-512-paramSetC": GOST3410Curve( p=bytes2long(hexdec("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC7")), q=bytes2long(hexdec("3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC98CDBA46506AB004C33A9FF5147502CC8EDA9E7A769A12694623CEF47F023ED")), a=bytes2long(hexdec("DC9203E514A721875485A529D2C722FB187BC8980EB866644DE41C68E143064546E861C0E2C9EDD92ADE71F46FCF50FF2AD97F951FDA9F2A2EB6546F39689BD3")), b=bytes2long(hexdec("B4C4EE28CEBC6C2C8AC12952CF37F16AC7EFB6A9F69F4B57FFDA2E4F0DE5ADE038CBC2FFF719D2C18DE0284B8BFEF3B52B8CC7A5F5BF0A3C8D2319A5312557E1")), x=bytes2long(hexdec("E2E31EDFC23DE7BDEBE241CE593EF5DE2295B7A9CBAEF021D385F7074CEA043AA27272A7AE602BF2A7B9033DB9ED3610C6FB85487EAE97AAC5BC7928C1950148")), y=bytes2long(hexdec("F5CE40D95B5EB899ABBCCFF5911CB8577939804D6527378B8C108C3D2090FF9BE18E2D33E3021ED2EF32D85822423B6304F726AA854BAE07D0396E9A9ADDC40F")), + cofactor=4, e=0x01, d=bytes2long(hexdec("9E4F5D8C017D8D9F13A5CF3CDF5BFE4DAB402D54198E31EBDE28A0621050439CA6B39E0A515C06B304E2CE43E79E369E91A0CFC2BC2A22B4CA302DBB33EE7550")), ), } +CURVES["id-GostR3410-2001-CryptoPro-A-ParamSet"] = CURVES["id-tc26-gost-3410-12-256-paramSetB"] +CURVES["id-GostR3410-2001-CryptoPro-B-ParamSet"] = CURVES["id-tc26-gost-3410-12-256-paramSetC"] +CURVES["id-GostR3410-2001-CryptoPro-C-ParamSet"] = CURVES["id-tc26-gost-3410-12-256-paramSetD"] CURVES["id-GostR3410-2001-CryptoPro-XchA-ParamSet"] = CURVES["id-GostR3410-2001-CryptoPro-A-ParamSet"] CURVES["id-GostR3410-2001-CryptoPro-XchB-ParamSet"] = CURVES["id-GostR3410-2001-CryptoPro-C-ParamSet"] -CURVES["id-tc26-gost-3410-2012-256-paramSetB"] = CURVES["id-GostR3410-2001-CryptoPro-A-ParamSet"] -CURVES["id-tc26-gost-3410-2012-256-paramSetC"] = CURVES["id-GostR3410-2001-CryptoPro-B-ParamSet"] -CURVES["id-tc26-gost-3410-2012-256-paramSetD"] = CURVES["id-GostR3410-2001-CryptoPro-C-ParamSet"] -DEFAULT_CURVE = CURVES["id-GostR3410-2001-CryptoPro-A-ParamSet"] +CURVES["id-tc26-gost-3410-2012-256-paramSetA"] = CURVES["id-tc26-gost-3410-12-256-paramSetA"] +CURVES["id-tc26-gost-3410-2012-256-paramSetB"] = CURVES["id-tc26-gost-3410-12-256-paramSetB"] +CURVES["id-tc26-gost-3410-2012-256-paramSetC"] = CURVES["id-tc26-gost-3410-12-256-paramSetC"] +CURVES["id-tc26-gost-3410-2012-256-paramSetD"] = CURVES["id-tc26-gost-3410-12-256-paramSetD"] +CURVES["id-tc26-gost-3410-2012-512-paramSetTest"] = CURVES["id-tc26-gost-3410-12-512-paramSetTest"] +CURVES["id-tc26-gost-3410-2012-512-paramSetA"] = CURVES["id-tc26-gost-3410-12-512-paramSetA"] +CURVES["id-tc26-gost-3410-2012-512-paramSetB"] = CURVES["id-tc26-gost-3410-12-512-paramSetB"] +CURVES["id-tc26-gost-3410-2012-512-paramSetC"] = CURVES["id-tc26-gost-3410-12-512-paramSetC"] +for _name, _curve in CURVES.items(): + _curve.name = _name +DEFAULT_CURVE = CURVES["id-tc26-gost-3410-12-256-paramSetB"] def public_key(curve, prv): - """ Generate public key from the private one + """Generate public key from the private one :param GOST3410Curve curve: curve to use :param long prv: private key @@ -222,8 +252,8 @@ def public_key(curve, prv): return curve.exp(prv) -def sign(curve, prv, digest, rand=None, mode=2001): - """ Calculate signature for provided digest +def sign(curve, prv, digest, rand=None): + """Calculate signature for provided digest :param GOST3410Curve curve: curve to use :param long prv: private key @@ -231,10 +261,10 @@ def sign(curve, prv, digest, rand=None, mode=2001): :type digest: bytes, 32 or 64 bytes :param rand: optional predefined random data used for k/r generation :type rand: bytes, 32 or 64 bytes - :returns: signature + :returns: signature, BE(S) || BE(R) :rtype: bytes, 64 or 128 bytes """ - size = MODE2SIZE[mode] + size = curve.point_size q = curve.q e = bytes2long(digest) % q if e == 0: @@ -260,8 +290,8 @@ def sign(curve, prv, digest, rand=None, mode=2001): return long2bytes(s, size) + long2bytes(r, size) -def verify(curve, pub, digest, signature, mode=2001): - """ Verify provided digest with the signature +def verify(curve, pub, digest, signature): + """Verify provided digest with the signature :param GOST3410Curve curve: curve to use :type pub: (long, long) @@ -271,7 +301,7 @@ def verify(curve, pub, digest, signature, mode=2001): :type signature: bytes, 64 or 128 bytes :rtype: bool """ - size = MODE2SIZE[mode] + size = curve.point_size if len(signature) != size * 2: raise ValueError("Invalid signature length") q = curve.q @@ -305,31 +335,49 @@ def verify(curve, pub, digest, signature, mode=2001): def prv_unmarshal(prv): - """Unmarshal private key + """Unmarshal little-endian private key :param bytes prv: serialized private key :rtype: long + + It is advisable to use :py:func:`pygost.gost3410.prv_marshal` to + assure that key i in curve's Q field for better compatibility with + some implementations. """ return bytes2long(prv[::-1]) -def pub_marshal(pub, mode=2001): +def prv_marshal(curve, prv): + """Marshal little-endian private key + + :param GOST3410Curve curve: curve to use + :param long prv: serialized private key + :rtype: bytes + + Key is in curve's Q field. + """ + return long2bytes(prv % curve.q, point_size(prv))[::-1] + + +def pub_marshal(pub): """Marshal public key :type pub: (long, long) :rtype: bytes + :returns: LE(X) || LE(Y) """ - size = MODE2SIZE[mode] + size = point_size(pub[0]) return (long2bytes(pub[1], size) + long2bytes(pub[0], size))[::-1] -def pub_unmarshal(pub, mode=2001): +def pub_unmarshal(pub): """Unmarshal public key + :param pub: LE(X) || LE(Y) :type pub: bytes :rtype: (long, long) """ - size = MODE2SIZE[mode] + size = len(pub) // 2 pub = pub[::-1] return (bytes2long(pub[size:]), bytes2long(pub[:size]))