Hello,
I'm trying to calculate a pairing with the SAGE weil_pairing() function
while using a distortion map, but the weil_pairing() function never returns
and it seems like is eating all the computer memory.
Here is the code I'm using:
sage: p = 293779600266612700060489507
sage: F = GF(p)
sage: E = EllipticCurve(F, [-1,0])
sage: F2.<alpha>=GF(p^2, name='alpha',modulus=ZZ['x']('x^2+1'));
sage: E2 = E.change_ring(F2)
sage: def custom_weil_pairing(p1, p2, n):
....: wp = p1.weil_pairing(E2(-p2[0], alpha*p2[1]), n)
....: return wp
....:
sage: p1=E2.random_element()
sage: p2=E2.random_element()
sage: custom_weil_pairing(p1, p2, p1.order())
Actually, p1 and p2 are point with the same order in my real code.
I've been googling but I haven't found any known bug explaining this
behavior.
Am I doing something wrong?
Regards.
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