elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BN254AT

Synopsis

Documentation

type PP = WPPoint BN254AT Fq2 Fr Source #

Projective BN254AT point.

type PJ = WJPoint BN254AT Fq2 Fr Source #

Jacobian BN254AT point.

type PA = WAPoint BN254AT Fq2 Fr Source #

Affine BN254AT curve point.

type Fr = PrimeField 16030569034403128277756688287498649515510226217719936227669524443298095169537 Source #

Field of coefficients of BN254AT curve.

data PolynomialU Source #

Field of points of BN254AT curve.

Instances
IrreducibleMonic Fq PolynomialU Source # 
Instance details

Defined in Curve.Weierstrass.BN254AT

WPCurve BN254AT Fq2 Fr Source #

Projective BN254AT curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

WJCurve BN254AT Fq2 Fr Source #

Jacobian BN254AT curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

WACurve BN254AT Fq2 Fr Source #

Affine BN254AT curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

Curve Weierstrass c BN254AT Fq2 Fr => WCurve c BN254AT Fq2 Fr Source #

BN254AT curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

data BN254AT Source #

BN254AT curve.

Instances
WPCurve BN254AT Fq2 Fr Source #

Projective BN254AT curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

WJCurve BN254AT Fq2 Fr Source #

Jacobian BN254AT curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

WACurve BN254AT Fq2 Fr Source #

Affine BN254AT curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

Curve Weierstrass c BN254AT Fq2 Fr => WCurve c BN254AT Fq2 Fr Source #

BN254AT curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BN254AT

_a :: Fq2 Source #

Coefficient A of BN254AT curve.

_b :: Fq2 Source #

Coefficient B of BN254AT curve.

_h :: Integer Source #

Cofactor of BN254AT curve.

_q :: Integer Source #

Characteristic of BN254AT curve.

_r :: Integer Source #

Order of BN254AT curve.

_x :: Fq2 Source #

Coordinate X of BN254AT curve.

_y :: Fq2 Source #

Coordinate Y of BN254AT curve.

gA :: PA Source #

Generator of affine BN254AT curve.

gJ :: PJ Source #

Generator of Jacobian BN254AT curve.

gP :: PP Source #

Generator of projective BN254AT curve.