klefki.algebra.groups.ecg

Package Contents

Classes

EllipticCurveGroup

A monoid in which every element has an inverse is called group.

PairFriendlyEllipticCurveGroup

A monoid in which every element has an inverse is called group.

JacobianGroup

A monoid in which every element has an inverse is called group.
class klefki.algebra.groups.ecg.EllipticCurveGroup(*args)

Bases: klefki.algebra.abstract.Group

A monoid in which every element has an inverse is called group.

A
B
from_JacobianGroup(self, o)
from_list(self, o)
from_int(self, o)
from_tuple(self, o)
op(self, g)

The Operator for obeying axiom associativity (2)

inverse(self)

Implement for axiom inverse

classmethod identity(cls)

The value for obeying axiom identity (3)

property x(self)
property y(self)
class klefki.algebra.groups.ecg.PairFriendlyEllipticCurveGroup(*args)

Bases: klefki.algebra.groups.ecg.elliptic.EllipticCurveGroup

A monoid in which every element has an inverse is called group.

e
F
property pairing(cls, P, Q)
classmethod e(cls, P, Q)
class klefki.algebra.groups.ecg.JacobianGroup(*args)

Bases: klefki.algebra.abstract.Group

A monoid in which every element has an inverse is called group.

A
B
craft(self, o)

Automatic lookup method like from_{type} of Class Object.

double(self, n=None)
classmethod identity(cls)

The value for obeying axiom identity (3)

inverse(self)

Implement for axiom inverse

op(self, g)

The Operator for obeying axiom associativity (2)