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55 lines
1.7 KiB
Python
55 lines
1.7 KiB
Python
# stark curve https://docs.starkware.co/starkex/crypto/stark-curve.html
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p = 3618502788666131213697322783095070105623107215331596699973092056135872020481
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alpha = 1
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# $$y^2 = x^3 + \alpha \dot x + \beta$$ (mod p)
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beta = 3141592653589793238462643383279502884197169399375105820974944592307816406665
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F = GF(p)
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E = EllipticCurve(F, [alpha,beta])
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ec_order = E.order()
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# ECDSA scheme generator
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G_generator = E(874739451078007766457464989774322083649278607533249481151382481072868806602, 152666792071518830868575557812948353041420400780739481342941381225525861407)
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p_scalar = 3618502788666131213697322783095070105526743751716087489154079457884512865583
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K = GF(p_scalar)
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import random
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class CurvePoint():
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def __init__(self, x=None, y=None):
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if x==None or y==None:
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self.point = CurvePoint.random()
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else:
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self.point = E(x,y)
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self.x = self.point[0]
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self.y = self.point[1]
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def zero():
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return G_generator * 0
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def __repr__(self):
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return bytes("[ x: {}, y: {}, z: 1]".format(self.x, self.y), encoding='utf-8')
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def __str__(self):
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return self.__repr__()
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def random(max=p):
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return G_generator * random.randint(0, max)
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def __add__(self, rhs):
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return self.point + rhs.point
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def __sub__(self, rhs):
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return self.point - rhs.point
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def __neg__(self):
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return -1 * self.point
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def generator():
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return G_generator
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def __mul__(self, factor):
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return factor * self.point
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def msm(points, scalars):
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assert len(points) == len(scalars), 'len(p): {}, len(s): {}'.format(len(points), len(scalars))
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return sum([s*p for (s, p) in zip(points, scalars)])
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