elliptic-curve-0.2.1: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.SECP160R2

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint SECP160R2 Fq Fr Source #

Projective SECP160R2 point.

type PJ = WJPoint SECP160R2 Fq Fr Source #

Jacobian SECP160R2 point.

type PA = WAPoint SECP160R2 Fq Fr Source #

Affine SECP160R2 curve point.

type Fr = PrimeField 1461501637330902918203685083571792140653176136043 Source #

Field of coefficients of SECP160R2 curve.

type Fq = PrimeField 1461501637330902918203684832716283019651637554291 Source #

Field of points of SECP160R2 curve.

data SECP160R2 Source #

SECP160R2 curve.

Instances
WPCurve SECP160R2 Fq Fr Source #

Projective SECP160R2 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.SECP160R2

Methods

gP_ :: WPPoint SECP160R2 Fq Fr Source #

WJCurve SECP160R2 Fq Fr Source #

Jacobian SECP160R2 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.SECP160R2

Methods

gJ_ :: WJPoint SECP160R2 Fq Fr Source #

WACurve SECP160R2 Fq Fr Source #

Affine SECP160R2 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.SECP160R2

Methods

gA_ :: WAPoint SECP160R2 Fq Fr Source #

Curve Weierstrass c SECP160R2 Fq Fr => WCurve c SECP160R2 Fq Fr Source #

SECP160R2 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.SECP160R2

Methods

a_ :: WPoint c SECP160R2 Fq Fr -> Fq Source #

b_ :: WPoint c SECP160R2 Fq Fr -> Fq Source #

h_ :: WPoint c SECP160R2 Fq Fr -> Integer Source #

q_ :: WPoint c SECP160R2 Fq Fr -> Integer Source #

r_ :: WPoint c SECP160R2 Fq Fr -> Integer Source #

x_ :: WPoint c SECP160R2 Fq Fr -> Fq Source #

y_ :: WPoint c SECP160R2 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of SECP160R2 curve.

_b :: Fq Source #

Coefficient B of SECP160R2 curve.

_h :: Integer Source #

Cofactor of SECP160R2 curve.

_q :: Integer Source #

Characteristic of SECP160R2 curve.

_r :: Integer Source #

Order of SECP160R2 curve.

_x :: Fq Source #

Coordinate X of SECP160R2 curve.

_y :: Fq Source #

Coordinate Y of SECP160R2 curve.

gA :: PA Source #

Generator of affine SECP160R2 curve.

gJ :: PJ Source #

Generator of Jacobian SECP160R2 curve.

gP :: PP Source #

Generator of projective SECP160R2 curve.