klefki.curves.secp256k1

Module Contents

Classes

FiniteFieldSecp256k1

A FIELD is a set F which is closed under two operations + and × s.t.

FiniteFieldCyclicSecp256k1

A FIELD is a set F which is closed under two operations + and × s.t.

EllipticCurveGroupSecp256k1

y^2 = x^3 + A * x + B
class klefki.curves.secp256k1.FiniteFieldSecp256k1(*args)

Bases: klefki.algebra.fields.FiniteField

A FIELD is a set F which is closed under two operations + and × s.t. (1) Fis an abelian group under + and (2) F-{0} (the set F without the additive identity 0) is an abelian group under ×.

P
class klefki.curves.secp256k1.FiniteFieldCyclicSecp256k1(*args)

Bases: klefki.algebra.fields.FiniteField

A FIELD is a set F which is closed under two operations + and × s.t. (1) Fis an abelian group under + and (2) F-{0} (the set F without the additive identity 0) is an abelian group under ×.

P
class klefki.curves.secp256k1.EllipticCurveGroupSecp256k1(*args)

Bases: klefki.algebra.groups.EllipticCurveGroup

y^2 = x^3 + A * x + B

N
A
B
op(self, g)

The Operator for obeying axiom associativity (2)

classmethod lift_x(cls, x: FiniteField)
klefki.curves.secp256k1.G