elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.SECP112R2

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint SECP112R2 Fq Fr Source #

Projective SECP112R2 point.

type PJ = WJPoint SECP112R2 Fq Fr Source #

Jacobian SECP112R2 point.

type PA = WAPoint SECP112R2 Fq Fr Source #

Affine SECP112R2 curve point.

type Fr = PrimeField 1112921306273428674967732714786891 Source #

Field of coefficients of SECP112R2 curve.

type Fq = PrimeField 4451685225093714772084598273548427 Source #

Field of points of SECP112R2 curve.

data SECP112R2 Source #

SECP112R2 curve.

Instances
WPCurve SECP112R2 Fq Fr Source #

Projective SECP112R2 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.SECP112R2

Methods

gP_ :: WPPoint SECP112R2 Fq Fr Source #

WJCurve SECP112R2 Fq Fr Source #

Jacobian SECP112R2 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.SECP112R2

Methods

gJ_ :: WJPoint SECP112R2 Fq Fr Source #

WACurve SECP112R2 Fq Fr Source #

Affine SECP112R2 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.SECP112R2

Methods

gA_ :: WAPoint SECP112R2 Fq Fr Source #

Curve Weierstrass c SECP112R2 Fq Fr => WCurve c SECP112R2 Fq Fr Source #

SECP112R2 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.SECP112R2

Methods

a_ :: WPoint c SECP112R2 Fq Fr -> Fq Source #

b_ :: WPoint c SECP112R2 Fq Fr -> Fq Source #

h_ :: WPoint c SECP112R2 Fq Fr -> Integer Source #

q_ :: WPoint c SECP112R2 Fq Fr -> Integer Source #

r_ :: WPoint c SECP112R2 Fq Fr -> Integer Source #

x_ :: WPoint c SECP112R2 Fq Fr -> Fq Source #

y_ :: WPoint c SECP112R2 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of SECP112R2 curve.

_b :: Fq Source #

Coefficient B of SECP112R2 curve.

_h :: Integer Source #

Cofactor of SECP112R2 curve.

_q :: Integer Source #

Characteristic of SECP112R2 curve.

_r :: Integer Source #

Order of SECP112R2 curve.

_x :: Fq Source #

Coordinate X of SECP112R2 curve.

_y :: Fq Source #

Coordinate Y of SECP112R2 curve.

gA :: PA Source #

Generator of affine SECP112R2 curve.

gJ :: PJ Source #

Generator of Jacobian SECP112R2 curve.

gP :: PP Source #

Generator of projective SECP112R2 curve.