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from pyecsca.ec.curve import EllipticCurve
from pyecsca.ec.group import AbelianGroup
from pyecsca.ec.mod import Mod
from pyecsca.ec.model import ShortWeierstrassModel, MontgomeryModel
from pyecsca.ec.point import Point, InfinityPoint
def get_secp128r1():
prime = 0xfffffffdffffffffffffffffffffffff
model = ShortWeierstrassModel()
coords = model.coordinates["projective"]
curve = EllipticCurve(model, coords, prime, dict(a=0xfffffffdfffffffffffffffffffffffc,
b=0xe87579c11079f43dd824993c2cee5ed3))
return AbelianGroup(curve, Point(coords, X=Mod(0x161ff7528b899b2d0c28607ca52c5b86, prime),
Y=Mod(0xcf5ac8395bafeb13c02da292dded7a83, prime),
Z=Mod(1, prime)), InfinityPoint(coords),
order=0xfffffffe0000000075a30d1b9038a115, cofactor=1)
def get_curve25519():
prime = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed
model = MontgomeryModel()
coords = model.coordinates["xz"]
curve = EllipticCurve(model, coords, prime,
dict(a=486662, b=1))
return AbelianGroup(curve, Point(coords, X=Mod(9, prime), Z=Mod(1, prime)),
InfinityPoint(coords),
order=0x1000000000000000000000000000000014DEF9DEA2F79CD65812631A5CF5D3ED,
cofactor=2)
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