elliptic-curve-0.2.1: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BrainpoolP256R1

Synopsis

Documentation

type PP = WPPoint BrainpoolP256R1 Fq Fr Source #

Projective BrainpoolP256R1 point.

type PJ = WJPoint BrainpoolP256R1 Fq Fr Source #

Jacobian BrainpoolP256R1 point.

type PA = WAPoint BrainpoolP256R1 Fq Fr Source #

Affine BrainpoolP256R1 curve point.

type Fr = PrimeField 76884956397045344220809746629001649092737531784414529538755519063063536359079 Source #

Field of coefficients of BrainpoolP256R1 curve.

type Fq = PrimeField 76884956397045344220809746629001649093037950200943055203735601445031516197751 Source #

Field of points of BrainpoolP256R1 curve.

data BrainpoolP256R1 Source #

BrainpoolP256R1 curve.

Instances
WPCurve BrainpoolP256R1 Fq Fr Source #

Projective BrainpoolP256R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP256R1

WJCurve BrainpoolP256R1 Fq Fr Source #

Jacobian BrainpoolP256R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP256R1

WACurve BrainpoolP256R1 Fq Fr Source #

Affine BrainpoolP256R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP256R1

Curve Weierstrass c BrainpoolP256R1 Fq Fr => WCurve c BrainpoolP256R1 Fq Fr Source #

BrainpoolP256R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP256R1

_a :: Fq Source #

Coefficient A of BrainpoolP256R1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP256R1 curve.

_h :: Integer Source #

Cofactor of BrainpoolP256R1 curve.

_q :: Integer Source #

Characteristic of BrainpoolP256R1 curve.

_r :: Integer Source #

Order of BrainpoolP256R1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP256R1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP256R1 curve.

gA :: PA Source #

Generator of affine BrainpoolP256R1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP256R1 curve.

gP :: PP Source #

Generator of projective BrainpoolP256R1 curve.