elliptic-curve-0.2.1: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BrainpoolP192R1

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint BrainpoolP192R1 Fq Fr Source #

Projective BrainpoolP192R1 point.

type PJ = WJPoint BrainpoolP192R1 Fq Fr Source #

Jacobian BrainpoolP192R1 point.

type PA = WAPoint BrainpoolP192R1 Fq Fr Source #

Affine BrainpoolP192R1 curve point.

type Fr = PrimeField 4781668983906166242955001894269038308119863659119834868929 Source #

Field of coefficients of BrainpoolP192R1 curve.

type Fq = PrimeField 4781668983906166242955001894344923773259119655253013193367 Source #

Field of points of BrainpoolP192R1 curve.

data BrainpoolP192R1 Source #

BrainpoolP192R1 curve.

Instances
WPCurve BrainpoolP192R1 Fq Fr Source #

Projective BrainpoolP192R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP192R1

Methods

gP_ :: WPPoint BrainpoolP192R1 Fq Fr Source #

WJCurve BrainpoolP192R1 Fq Fr Source #

Jacobian BrainpoolP192R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP192R1

Methods

gJ_ :: WJPoint BrainpoolP192R1 Fq Fr Source #

WACurve BrainpoolP192R1 Fq Fr Source #

Affine BrainpoolP192R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP192R1

Methods

gA_ :: WAPoint BrainpoolP192R1 Fq Fr Source #

Curve Weierstrass c BrainpoolP192R1 Fq Fr => WCurve c BrainpoolP192R1 Fq Fr Source #

BrainpoolP192R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP192R1

Methods

a_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source #

b_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source #

h_ :: WPoint c BrainpoolP192R1 Fq Fr -> Integer Source #

q_ :: WPoint c BrainpoolP192R1 Fq Fr -> Integer Source #

r_ :: WPoint c BrainpoolP192R1 Fq Fr -> Integer Source #

x_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source #

y_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of BrainpoolP192R1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP192R1 curve.

_h :: Integer Source #

Cofactor of BrainpoolP192R1 curve.

_q :: Integer Source #

Characteristic of BrainpoolP192R1 curve.

_r :: Integer Source #

Order of BrainpoolP192R1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP192R1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP192R1 curve.

gA :: PA Source #

Generator of affine BrainpoolP192R1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP192R1 curve.

gP :: PP Source #

Generator of projective BrainpoolP192R1 curve.