elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BrainpoolP384R1

Synopsis

Documentation

module Curve.Weierstrass

type PP = WPPoint BrainpoolP384R1 Fq Fr Source #

Projective BrainpoolP384R1 point.

type PJ = WJPoint BrainpoolP384R1 Fq Fr Source #

Jacobian BrainpoolP384R1 point.

type PA = WAPoint BrainpoolP384R1 Fq Fr Source #

Affine BrainpoolP384R1 curve point.

type Fr = PrimeField 21659270770119316173069236842332604979796116387017648600075645274821611501358515537962695117368903252229601718723941 Source #

Field of coefficients of BrainpoolP384R1 curve.

type Fq = PrimeField 21659270770119316173069236842332604979796116387017648600081618503821089934025961822236561982844534088440708417973331 Source #

Field of points of BrainpoolP384R1 curve.

data BrainpoolP384R1 Source #

BrainpoolP384R1 curve.

Instances
WPCurve BrainpoolP384R1 Fq Fr Source #

Projective BrainpoolP384R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP384R1

Methods

gP_ :: WPPoint BrainpoolP384R1 Fq Fr Source #

WJCurve BrainpoolP384R1 Fq Fr Source #

Jacobian BrainpoolP384R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP384R1

Methods

gJ_ :: WJPoint BrainpoolP384R1 Fq Fr Source #

WACurve BrainpoolP384R1 Fq Fr Source #

Affine BrainpoolP384R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP384R1

Methods

gA_ :: WAPoint BrainpoolP384R1 Fq Fr Source #

Curve Weierstrass c BrainpoolP384R1 Fq Fr => WCurve c BrainpoolP384R1 Fq Fr Source #

BrainpoolP384R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP384R1

Methods

a_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq Source #

b_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq Source #

h_ :: WPoint c BrainpoolP384R1 Fq Fr -> Integer Source #

q_ :: WPoint c BrainpoolP384R1 Fq Fr -> Integer Source #

r_ :: WPoint c BrainpoolP384R1 Fq Fr -> Integer Source #

x_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq Source #

y_ :: WPoint c BrainpoolP384R1 Fq Fr -> Fq Source #

_a :: Fq Source #

Coefficient A of BrainpoolP384R1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP384R1 curve.

_h :: Integer Source #

Cofactor of BrainpoolP384R1 curve.

_q :: Integer Source #

Characteristic of BrainpoolP384R1 curve.

_r :: Integer Source #

Order of BrainpoolP384R1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP384R1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP384R1 curve.

gA :: PA Source #

Generator of affine BrainpoolP384R1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP384R1 curve.

gP :: PP Source #

Generator of projective BrainpoolP384R1 curve.