elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.SECP128R1

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint SECP128R1 Fq Fr Source #

Projective SECP128R1 point.

type PJ = WJPoint SECP128R1 Fq Fr Source #

Jacobian SECP128R1 point.

type PA = WAPoint SECP128R1 Fq Fr Source #

Affine SECP128R1 curve point.

type Fr = PrimeField 340282366762482138443322565580356624661 Source #

Field of coefficients of SECP128R1 curve.

type Fq = PrimeField 340282366762482138434845932244680310783 Source #

Field of points of SECP128R1 curve.

data SECP128R1 Source #

SECP128R1 curve.

Instances
WPCurve SECP128R1 Fq Fr Source #

Projective SECP128R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.SECP128R1

Methods

gP_ :: WPPoint SECP128R1 Fq Fr Source #

WJCurve SECP128R1 Fq Fr Source #

Jacobian SECP128R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.SECP128R1

Methods

gJ_ :: WJPoint SECP128R1 Fq Fr Source #

WACurve SECP128R1 Fq Fr Source #

Affine SECP128R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.SECP128R1

Methods

gA_ :: WAPoint SECP128R1 Fq Fr Source #

Curve Weierstrass c SECP128R1 Fq Fr => WCurve c SECP128R1 Fq Fr Source #

SECP128R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.SECP128R1

Methods

a_ :: WPoint c SECP128R1 Fq Fr -> Fq Source #

b_ :: WPoint c SECP128R1 Fq Fr -> Fq Source #

h_ :: WPoint c SECP128R1 Fq Fr -> Integer Source #

q_ :: WPoint c SECP128R1 Fq Fr -> Integer Source #

r_ :: WPoint c SECP128R1 Fq Fr -> Integer Source #

x_ :: WPoint c SECP128R1 Fq Fr -> Fq Source #

y_ :: WPoint c SECP128R1 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of SECP128R1 curve.

_b :: Fq Source #

Coefficient B of SECP128R1 curve.

_h :: Integer Source #

Cofactor of SECP128R1 curve.

_q :: Integer Source #

Characteristic of SECP128R1 curve.

_r :: Integer Source #

Order of SECP128R1 curve.

_x :: Fq Source #

Coordinate X of SECP128R1 curve.

_y :: Fq Source #

Coordinate Y of SECP128R1 curve.

gA :: PA Source #

Generator of affine SECP128R1 curve.

gJ :: PJ Source #

Generator of Jacobian SECP128R1 curve.

gP :: PP Source #

Generator of projective SECP128R1 curve.