elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BrainpoolP160T1

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint BrainpoolP160T1 Fq Fr Source #

Projective BrainpoolP160T1 point.

type PJ = WJPoint BrainpoolP160T1 Fq Fr Source #

Jacobian BrainpoolP160T1 point.

type PA = WAPoint BrainpoolP160T1 Fq Fr Source #

Affine BrainpoolP160T1 curve point.

type Fr = PrimeField 1332297598440044874827085038830181364212942568457 Source #

Field of coefficients of BrainpoolP160T1 curve.

type Fq = PrimeField 1332297598440044874827085558802491743757193798159 Source #

Field of points of BrainpoolP160T1 curve.

data BrainpoolP160T1 Source #

BrainpoolP160T1 curve.

Instances
WPCurve BrainpoolP160T1 Fq Fr Source #

Projective BrainpoolP160T1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP160T1

Methods

gP_ :: WPPoint BrainpoolP160T1 Fq Fr Source #

WJCurve BrainpoolP160T1 Fq Fr Source #

Jacobian BrainpoolP160T1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP160T1

Methods

gJ_ :: WJPoint BrainpoolP160T1 Fq Fr Source #

WACurve BrainpoolP160T1 Fq Fr Source #

Affine BrainpoolP160T1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP160T1

Methods

gA_ :: WAPoint BrainpoolP160T1 Fq Fr Source #

Curve Weierstrass c BrainpoolP160T1 Fq Fr => WCurve c BrainpoolP160T1 Fq Fr Source #

BrainpoolP160T1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP160T1

Methods

a_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source #

b_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source #

h_ :: WPoint c BrainpoolP160T1 Fq Fr -> Integer Source #

q_ :: WPoint c BrainpoolP160T1 Fq Fr -> Integer Source #

r_ :: WPoint c BrainpoolP160T1 Fq Fr -> Integer Source #

x_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source #

y_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of BrainpoolP160T1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP160T1 curve.

_h :: Integer Source #

Cofactor of BrainpoolP160T1 curve.

_q :: Integer Source #

Characteristic of BrainpoolP160T1 curve.

_r :: Integer Source #

Order of BrainpoolP160T1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP160T1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP160T1 curve.

gA :: PA Source #

Generator of affine BrainpoolP160T1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP160T1 curve.

gP :: PP Source #

Generator of projective BrainpoolP160T1 curve.