elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.BrainpoolP512R1

Synopsis

Documentation

type PP = WPPoint BrainpoolP512R1 Fq Fr Source #

Projective BrainpoolP512R1 point.

type PJ = WJPoint BrainpoolP512R1 Fq Fr Source #

Jacobian BrainpoolP512R1 point.

type PA = WAPoint BrainpoolP512R1 Fq Fr Source #

Affine BrainpoolP512R1 curve point.

type Fr = PrimeField 8948962207650232551656602815159153422162609644098354511344597187200057010413418528378981730643524959857451398370029280583094215613882043973354392115544169 Source #

Field of coefficients of BrainpoolP512R1 curve.

type Fq = PrimeField 8948962207650232551656602815159153422162609644098354511344597187200057010413552439917934304191956942765446530386427345937963894309923928536070534607816947 Source #

Field of points of BrainpoolP512R1 curve.

data BrainpoolP512R1 Source #

BrainpoolP512R1 curve.

Instances
WPCurve BrainpoolP512R1 Fq Fr Source #

Projective BrainpoolP512R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP512R1

WJCurve BrainpoolP512R1 Fq Fr Source #

Jacobian BrainpoolP512R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP512R1

WACurve BrainpoolP512R1 Fq Fr Source #

Affine BrainpoolP512R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP512R1

Curve Weierstrass c BrainpoolP512R1 Fq Fr => WCurve c BrainpoolP512R1 Fq Fr Source #

BrainpoolP512R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.BrainpoolP512R1

_a :: Fq Source #

Coefficient A of BrainpoolP512R1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP512R1 curve.

_h :: Integer Source #

Cofactor of BrainpoolP512R1 curve.

_q :: Integer Source #

Characteristic of BrainpoolP512R1 curve.

_r :: Integer Source #

Order of BrainpoolP512R1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP512R1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP512R1 curve.

gA :: PA Source #

Generator of affine BrainpoolP512R1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP512R1 curve.

gP :: PP Source #

Generator of projective BrainpoolP512R1 curve.