Curve.Weierstrass.BLS12381

Documentation

module Curve.Weierstrass

type PP = WPPoint BLS12381 Fq Fr

Projective BLS12381 point.

type PJ = WJPoint BLS12381 Fq Fr

Jacobian BLS12381 point.

type PA = WAPoint BLS12381 Fq Fr

Affine BLS12381 curve point.

type Fr = PrimeField 52435875175126190479447740508185965837690552500527637822603658699938581184513

Field of coefficients of BLS12381 curve.

type Fq = PrimeField 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787

Field of points of BLS12381 curve.

data BLS12381

BLS12381 curve.

Instances

WPCurve BLS12381 Fq Fr

Projective BLS12381 curve is a Weierstrass projective curve.

Defined in Curve.Weierstrass.BLS12381

Methods

gP_ :: WPPoint BLS12381 Fq Fr

WJCurve BLS12381 Fq Fr

Jacobian BLS12381 curve is a Weierstrass Jacobian curve.

Defined in Curve.Weierstrass.BLS12381

Methods

gJ_ :: WJPoint BLS12381 Fq Fr

WACurve BLS12381 Fq Fr

Affine BLS12381 curve is a Weierstrass affine curve.

Defined in Curve.Weierstrass.BLS12381

Methods

gA_ :: WAPoint BLS12381 Fq Fr

Curve Weierstrass c BLS12381 Fq Fr => WCurve c BLS12381 Fq Fr

BLS12381 curve is a Weierstrass curve.

Defined in Curve.Weierstrass.BLS12381

Methods

a_ :: WPoint c BLS12381 Fq Fr -> Fq

b_ :: WPoint c BLS12381 Fq Fr -> Fq

h_ :: WPoint c BLS12381 Fq Fr -> Integer

q_ :: WPoint c BLS12381 Fq Fr -> Integer

r_ :: WPoint c BLS12381 Fq Fr -> Integer

x_ :: WPoint c BLS12381 Fq Fr -> Fq

y_ :: WPoint c BLS12381 Fq Fr -> Fq

_a :: Fq

Coefficient A of BLS12381 curve.

_b :: Fq

Coefficient B of BLS12381 curve.

_h :: Integer

Cofactor of BLS12381 curve.

_q :: Integer

Characteristic of BLS12381 curve.

_r :: Integer

Order of BLS12381 curve.

_x :: Fq

Coordinate X of BLS12381 curve.

_y :: Fq

Coordinate Y of BLS12381 curve.

gA :: PA

Generator of affine BLS12381 curve.

gJ :: PJ

Generator of Jacobian BLS12381 curve.

gP :: PP

Generator of projective BLS12381 curve.