>>> p, q, a, b, x, y = CURVE_PARAMS["GostR3410_2001_TestParamSet"]
>>> curve = GOST3410Curve(p, q, a, b, x, y)
- >>> priv = bytes2long(urandom(32))
- >>> signature = sign(curve, priv, GOST341194(data).digest())
- >>> pubX, pubY = public_key(curve, priv)
- >>> verify(curve, pubX, pubY, GOST341194(data).digest(), signature)
+ >>> prv = prv_unmarshal(urandom(32))
+ >>> signature = sign(curve, prv, GOST341194(data).digest())
+ >>> pub = public_key(curve, prv)
+ >>> verify(curve, pub, GOST341194(data).digest(), signature)
True
"""
def __init__(self, p, q, a, b, x, y):
return tx, ty
-def public_key(curve, private_key):
+def public_key(curve, prv):
""" Generate public key from the private one
:param GOST3410Curve curve: curve to use
- :param long private_key: private key
+ :param long prv: private key
:return: public key's parts, X and Y
:rtype: (long, long)
"""
- return curve.exp(private_key)
+ return curve.exp(prv)
-def sign(curve, private_key, digest, mode=2001):
+def sign(curve, prv, digest, mode=2001):
""" Calculate signature for provided digest
:param GOST3410Curve curve: curve to use
- :param long private_key: private key
+ :param long prv: private key
:param digest: digest for signing
:type digest: bytes, 32 or 64 bytes
:return: signature
r %= q
if r == 0:
continue
- d = private_key * r
+ d = prv * r
k *= e
s = (d + k) % q
if s == 0:
return long2bytes(s, size) + long2bytes(r, size)
-def verify(curve, pubkeyX, pubkeyY, digest, signature, mode=2001):
+def verify(curve, pub, digest, signature, mode=2001):
""" Verify provided digest with the signature
:param GOST3410Curve curve: curve to use
- :param long pubkeyX: public key's X
- :param long pubkeyY: public key's Y
+ :type pub: (long, long)
:param digest: digest needed to check
:type digest: bytes, 32 or 64 bytes
:param signature: signature to verify with
z1 = s * v % q
z2 = q - r * v % q
p1x, p1y = curve.exp(z1)
- q1x, q1y = curve.exp(z2, pubkeyX, pubkeyY)
+ q1x, q1y = curve.exp(z2, pub[0], pub[1])
lm = q1x - p1x
if lm < 0:
lm += p
return lm == r
-def prv_unmarshal(private_key):
+def prv_unmarshal(prv):
"""Unmarshal private key
- :param bytes private_key: serialized private key
+ :param bytes prv: serialized private key
:rtype: long
"""
- return bytes2long(private_key[::-1])
+ return bytes2long(prv[::-1])
def pub_marshal(pub, mode=2001):