Minor refactoring to separate objects
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@ -64,24 +64,43 @@ class ECCBlind(object): # pylint: disable=too-many-instance-attributes
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OpenSSL.EC_POINT_mul(group, Q, d, 0, 0, 0)
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return (d, Q)
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def __init__(self, curve="secp256k1"):
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self.group = OpenSSL.EC_GROUP_new_by_curve_name(OpenSSL.get_curve(curve))
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@staticmethod
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def ec_Ftor(F, group, ctx):
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"""
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x0 coordinate of F
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"""
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# F = (x0, y0)
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x0 = OpenSSL.BN_new()
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y0 = OpenSSL.BN_new()
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OpenSSL.EC_POINT_get_affine_coordinates_GFp(group, F, x0, y0,
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ctx)
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return x0
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def __init__(self, curve="secp256k1", pubkey=None):
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self.ctx = OpenSSL.BN_CTX_new()
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# Order n
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self.n = OpenSSL.BN_new()
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OpenSSL.EC_GROUP_get_order(self.group, self.n, self.ctx)
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if pubkey:
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self.group, self.G, self.n, self.Q = pubkey
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else:
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self.group = OpenSSL.EC_GROUP_new_by_curve_name(OpenSSL.get_curve(curve))
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# Order n
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self.n = OpenSSL.BN_new()
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OpenSSL.EC_GROUP_get_order(self.group, self.n, self.ctx)
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# Generator G
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self.G = OpenSSL.EC_GROUP_get0_generator(self.group)
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# new keypair
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self.keypair = ECCBlind.ec_gen_keypair(self.group, self.ctx)
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self.Q = self.keypair[1]
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self.pubkey = (self.group, self.G, self.n, self.Q)
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# Identity O (infinity)
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self.iO = OpenSSL.EC_POINT_new(self.group)
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OpenSSL.EC_POINT_set_to_infinity(self.group, self.iO)
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# Generator G
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self.G = OpenSSL.EC_GROUP_get0_generator(self.group)
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# Certifier's pubkey
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self.pubkey = (self.group, self.G, self.n)
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def signer_init(self):
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"""
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Init signer
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@ -93,18 +112,18 @@ class ECCBlind(object): # pylint: disable=too-many-instance-attributes
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self.R = OpenSSL.EC_POINT_new(self.group)
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OpenSSL.EC_POINT_mul(self.group, self.R, self.k, 0, 0, 0)
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def create_signing_request(self, msg):
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return self.R
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def create_signing_request(self, R, msg):
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"""
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Requester creates a new signing request
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"""
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# new keypair
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self.keypair = ECCBlind.ec_gen_keypair(self.group, self.ctx)
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self.R = R
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# Requester: 3 random blinding factors
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self.F = OpenSSL.EC_POINT_new(self.group)
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OpenSSL.EC_POINT_set_to_infinity(self.group, self.F)
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temp = OpenSSL.EC_POINT_new(self.group)
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self.Q = self.keypair[1]
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abinv = OpenSSL.BN_new()
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# F != O
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@ -128,11 +147,7 @@ class ECCBlind(object): # pylint: disable=too-many-instance-attributes
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OpenSSL.EC_POINT_add(self.group, self.F, self.F, temp, 0)
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# F = (x0, y0)
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x0 = OpenSSL.BN_new()
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y0 = OpenSSL.BN_new()
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OpenSSL.EC_POINT_get_affine_coordinates_GFp(self.group, self.F, x0, y0,
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self.ctx)
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self.r = x0
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self.r = ECCBlind.ec_Ftor(self.F, self.group, self.ctx)
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# Requester: Blinding (m' = br(m) + a)
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self.m = OpenSSL.BN_new()
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@ -142,32 +157,48 @@ class ECCBlind(object): # pylint: disable=too-many-instance-attributes
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OpenSSL.BN_mod_mul(self.m_, self.b, self.r, self.n, self.ctx)
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OpenSSL.BN_mod_mul(self.m_, self.m_, self.m, self.n, self.ctx)
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OpenSSL.BN_mod_add(self.m_, self.m_, self.a, self.n, self.ctx)
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return self.m_
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def blind_sign(self):
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def blind_sign(self, m_):
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"""
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Signer blind-signs the request
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"""
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self.m_ = m_
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self.s_ = OpenSSL.BN_new()
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OpenSSL.BN_mod_mul(self.s_, self.keypair[0], self.m_, self.n, self.ctx)
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OpenSSL.BN_mod_add(self.s_, self.s_, self.k, self.n, self.ctx)
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return self.s_
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def unblind(self):
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def unblind(self, s_):
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"""
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Requester unblinds the signature
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"""
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self.s_ = s_
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s = OpenSSL.BN_new()
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OpenSSL.BN_mod_mul(s, self.binv, self.s_, self.n, self.ctx)
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OpenSSL.BN_mod_add(s, s, self.c, self.n, self.ctx)
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self.signature = (s, self.F)
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return self.signature
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def verify(self):
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def verify(self, msg, signature):
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"""
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Verify signature with certifier's pubkey
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"""
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# convert msg to BIGNUM
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self.m = OpenSSL.BN_new()
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OpenSSL.BN_bin2bn(msg, len(msg), self.m)
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# init
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s, self.F = signature
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if self.r is None:
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self.r = ECCBlind.ec_Ftor(self.F, self.group, self.ctx)
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lhs = OpenSSL.EC_POINT_new(self.group)
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rhs = OpenSSL.EC_POINT_new(self.group)
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OpenSSL.EC_POINT_mul(self.group, lhs, self.signature[0], 0, 0, 0)
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OpenSSL.EC_POINT_mul(self.group, lhs, s, 0, 0, 0)
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OpenSSL.EC_POINT_mul(self.group, rhs, 0, self.Q, self.m, 0)
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OpenSSL.EC_POINT_mul(self.group, rhs, 0, rhs, self.r, 0)
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OpenSSL.EC_POINT_add(self.group, rhs, rhs, self.F, self.ctx)
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@ -13,10 +13,23 @@ class TestBlindSig(unittest.TestCase):
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"""
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def test_blind_sig(self):
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"""Test full sequence using a random certifier key and a random message"""
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blind_sig = ECCBlind()
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blind_sig.signer_init()
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# See page 127 of the paper
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# (1) Initialization
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signer_obj = ECCBlind()
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point_r = signer_obj.signer_init()
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# (2) Request
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requester_obj = ECCBlind(pubkey=signer_obj.pubkey)
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# only 64 byte messages are planned to be used in Bitmessage
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msg = os.urandom(64)
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blind_sig.create_signing_request(msg)
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blind_sig.blind_sign()
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blind_sig.unblind()
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self.assertTrue(blind_sig.verify())
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msg_blinded = requester_obj.create_signing_request(point_r, msg)
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# (3) Signature Generation
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signature_blinded = signer_obj.blind_sign(msg_blinded)
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# (4) Extraction
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signature = requester_obj.unblind(signature_blinded)
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# (5) Verification
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verifier_obj = ECCBlind(pubkey=signer_obj.pubkey)
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self.assertTrue(verifier_obj.verify(msg, signature))
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