github/darkfi
1
1
Fork 0
mirror of https://github.com/darkrenaissance/darkfi.git synced 2026-01-09 14:48:08 -05:00
Code Issues Packages Projects Releases Wiki Activity

ec endomorphism tests

Browse Source
This commit is contained in:
narodnik
2022-03-15 14:11:28 +01:00
parent 72205bc1f0
commit 18ed156e65
1 changed files with 19 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

19
script/research/ec/pairing/2.2.6-endo1.sage Normal file
View File

@@ -0,0 +1,19 @@
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)}")