@anchor{Release 4.9}
@item 4.9
@itemize
+ @item @strong{Fixed} nasty bug with Edwards curves using in
+ 34.10-VKO functions: curve's cofactor has not been used
@item CTR-ACPKM mode of operation
@item OMAC-ACPKM-Master moder of operation
@item KExp15/KImp15 key export/import functions
:param long e, d: coefficients of the equation of the elliptic curve in
the twisted Edwards form
"""
- 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):
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
b=bytes2long(hexdec("295F9BAE7428ED9CCC20E7C359A9D41A22FCCD9108E17BF7BA9337A6F8AE9513")),
x=bytes2long(hexdec("91E38443A5E82C0D880923425712B2BB658B9196932E02C78B2582FE742DAA28")),
y=bytes2long(hexdec("32879423AB1A0375895786C4BB46E9565FDE0B5344766740AF268ADB32322E5C")),
+ cofactor=4,
e=0x01,
d=bytes2long(hexdec("0605F6B7C183FA81578BC39CFAD518132B9DF62897009AF7E522C32D6DC7BFFB")),
),
b=bytes2long(hexdec("B4C4EE28CEBC6C2C8AC12952CF37F16AC7EFB6A9F69F4B57FFDA2E4F0DE5ADE038CBC2FFF719D2C18DE0284B8BFEF3B52B8CC7A5F5BF0A3C8D2319A5312557E1")),
x=bytes2long(hexdec("E2E31EDFC23DE7BDEBE241CE593EF5DE2295B7A9CBAEF021D385F7074CEA043AA27272A7AE602BF2A7B9033DB9ED3610C6FB85487EAE97AAC5BC7928C1950148")),
y=bytes2long(hexdec("F5CE40D95B5EB899ABBCCFF5911CB8577939804D6527378B8C108C3D2090FF9BE18E2D33E3021ED2EF32D85822423B6304F726AA854BAE07D0396E9A9ADDC40F")),
+ cofactor=4,
e=0x01,
d=bytes2long(hexdec("9E4F5D8C017D8D9F13A5CF3CDF5BFE4DAB402D54198E31EBDE28A0621050439CA6B39E0A515C06B304E2CE43E79E369E91A0CFC2BC2A22B4CA302DBB33EE7550")),
),
def kek(curve, prv, pub, ukm, mode):
key = curve.exp(prv, pub[0], pub[1])
- key = curve.exp(ukm, key[0], key[1])
+ key = curve.exp(curve.cofactor * ukm, key[0], key[1])
return pub_marshal(key, mode)