SAGE version:
'Sage Version 6.1.1, Release Date: 2014-02-04' in MacOS X.
El domingo, 15 de junio de 2014 01:17:06 UTC+2, Alberto Garcia escribió:
>
> 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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