lc6chang / ecc-pycrypto Goto Github PK
View Code? Open in Web Editor NEWA Python package for ECC and ElGamal elliptic curve encryption.
License: MIT License
A Python package for ECC and ElGamal elliptic curve encryption.
License: MIT License
When doubling a point on x axis (i.e. y=0), the expected result is the Point at infinity but now it raises 'modular inverse does not exist' exception.
>>> from ecc.curve import Curve25519
>>> from ecc.curve import Point
>>> P = Point(x=0, y=0, curve=Curve25519)
>>> P + P
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "/Users/chang/ecc-pycrypto/ecc/curve.py", line 40, in __add__
return self.curve.add_point(self, other)
File "/Users/chang/ecc-pycrypto/ecc/curve.py", line 104, in add_point
return self._double_point(P)
File "/Users/chang/ecc-pycrypto/ecc/curve.py", line 255, in _double_point
s = up * modinv(down, self.p)
File "/Users/chang/ecc-pycrypto/ecc/math_utils/mod_inverse.py", line 16, in modinv
raise Exception("modular inverse does not exist")
Exception: modular inverse does not exist
I have tried to check if this implementation can be used for Additive homomorphism available in ElGamal.
For example, to achieve sometime like this this
ADD(X,Y) = Enc(plain_text_1+plain_text_2)
where
X=(C1, C2)
Y=(C3, C4)
pri_key, pub_key = gen_keypair(Curve25519)
cipher_elg = ElGamal(Curve25519)
plain_text_1 = bytes([3])
plain_text_2 = bytes([4])
X=C1, C2 = cipher_elg.encrypt(plain_text_1, pub_key)
Y=C3, C4 = cipher_elg.encrypt(plain_text_2, pub_key)
C5 = Curve25519.add_point(C1,C3)
C6 = Curve25519.add_point(C2,C4)
result = cipher_elg.decrypt(pri_key, C5, C6)
Then the output is expected to be 7.
Seems cipher_elg.decrypt(pri_key, C5, C6)
will not work.
Maybe it can be done as future improvements.
I'm using your (awesome) library and I'd like to include it in a project. It would be so much easier if I could just pip install it.
Thank you!
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