Files
darkfi/script/research/ec/pairing/2.2.6-endo1.sage
2022-03-15 14:12:01 +01:00

20 lines
291 B
Python

q = 19
Fq = GF(q)
E = EllipticCurve(Fq, [0, 5])
assert q % 3 == 1
xi3 = Fq(7)
assert xi3^3 == 1
P = E(-1, 2)
print(f"xi(P) = {E(xi3 * -1, 2)}")
Fq.<x> = GF(23)[]
Fq2.<u> = Fq.extension(x^2 + 1)
E = EllipticCurve(Fq2, [0, 5])
P = E(-1, 2)
xi3 = 8 * u + 11
print(f"xi(P) = {E(-xi3, 2)}")