elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.BLS12381T

Contents

BLS12381 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint BLS12381 Fq2 Fr
type PJ = WJPoint BLS12381 Fq2 Fr
type PA = WAPoint BLS12381 Fq2 Fr
data U
type Fq2 = Extension U Fq
_a :: Fq2
_b :: Fq2
_h :: Natural
_q :: Natural
_r :: Natural
_x :: Fq2
_y :: Fq2
gA :: PA
gJ :: PJ
gP :: PP

Documentation

module Data.Curve.Weierstrass

BLS12381 curve

type PP = WPPoint BLS12381 Fq2 Fr Source #

Projective BLS12381 point.

type PJ = WJPoint BLS12381 Fq2 Fr Source #

Jacobian BLS12381 point.

type PA = WAPoint BLS12381 Fq2 Fr Source #

Affine BLS12381 curve point.

data U Source #

Instances

IrreducibleMonic U Fq Source #
Instance details Defined in Data.Curve.Weierstrass.BLS12381T Methods poly :: Extension U Fq -> VPoly Fq #
WPCurve BLS12381 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BLS12381T Methods gP_ :: WPPoint BLS12381 Fq2 Fr Source #
WJCurve BLS12381 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BLS12381T Methods gJ_ :: WJPoint BLS12381 Fq2 Fr Source #
WACurve BLS12381 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BLS12381T Methods gA_ :: WAPoint BLS12381 Fq2 Fr Source #
Curve Weierstrass c BLS12381 Fq2 Fr => WCurve c BLS12381 Fq2 Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BLS12381T Methods a_ :: WPoint c BLS12381 Fq2 Fr -> Fq2 Source # b_ :: WPoint c BLS12381 Fq2 Fr -> Fq2 Source # h_ :: WPoint c BLS12381 Fq2 Fr -> Natural Source # q_ :: WPoint c BLS12381 Fq2 Fr -> Natural Source # r_ :: WPoint c BLS12381 Fq2 Fr -> Natural Source #

type Fq2 = Extension U Fq Source #

Field of points of BLS12381 curve over Fq2.

_a :: Fq2 Source #

Coefficient A of BLS12381 curve.

_b :: Fq2 Source #

Coefficient B of BLS12381 curve.

_h :: Natural Source #

Cofactor of BLS12381 curve.

_q :: Natural Source #

Characteristic of BLS12381 curve.

_r :: Natural Source #

Order of BLS12381 curve.

_x :: Fq2 Source #

Coordinate X of BLS12381 curve.

_y :: Fq2 Source #

Coordinate Y of BLS12381 curve.

gA :: PA Source #

Generator of affine BLS12381 curve.

gJ :: PJ Source #

Generator of Jacobian BLS12381 curve.

gP :: PP Source #

Generator of projective BLS12381 curve.