elliptic-curve-0.3.0: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Data.Curve.Weierstrass.BN254AT

Contents

Synopsis

Documentation

module Data.Curve.Weierstrass

BN254A curve

type PP = WPPoint BN254A Fq2 Fr Source #

Projective BN254A point.

type PJ = WJPoint BN254A Fq2 Fr Source #

Jacobian BN254A point.

type PA = WAPoint BN254A Fq2 Fr Source #

Affine BN254A curve point.

data U Source #

Instances
IrreducibleMonic U Fq Source # 
Instance details

Defined in Data.Curve.Weierstrass.BN254AT

Methods

poly :: Extension U Fq -> VPoly Fq #

WPCurve BN254A Fq2 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gP_ :: WPPoint BN254A Fq2 Fr Source #

WJCurve BN254A Fq2 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gJ_ :: WJPoint BN254A Fq2 Fr Source #

WACurve BN254A Fq2 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BN254AT

Methods

gA_ :: WAPoint BN254A Fq2 Fr Source #

Curve Weierstrass c BN254A Fq2 Fr => WCurve c BN254A Fq2 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BN254AT

Methods

a_ :: WPoint c BN254A Fq2 Fr -> Fq2 Source #

b_ :: WPoint c BN254A Fq2 Fr -> Fq2 Source #

h_ :: WPoint c BN254A Fq2 Fr -> Natural Source #

q_ :: WPoint c BN254A Fq2 Fr -> Natural Source #

r_ :: WPoint c BN254A Fq2 Fr -> Natural Source #

type Fq2 = Extension U Fq Source #

Field of points of BN254A curve over Fq2.

_a :: Fq2 Source #

Coefficient A of BN254A curve.

_b :: Fq2 Source #

Coefficient B of BN254A curve.

_h :: Natural Source #

Cofactor of BN254A curve.

_q :: Natural Source #

Characteristic of BN254A curve.

_r :: Natural Source #

Order of BN254A curve.

_x :: Fq2 Source #

Coordinate X of BN254A curve.

_y :: Fq2 Source #

Coordinate Y of BN254A curve.

gA :: PA Source #

Generator of affine BN254A curve.

gJ :: PJ Source #

Generator of Jacobian BN254A curve.

gP :: PP Source #

Generator of projective BN254A curve.