elliptic-curve-0.2.2: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Curve.Weierstrass.SECP521R1

Synopsis

Documentation

type PP = WPPoint SECP521R1 Fq Fr Source #

Projective SECP521R1 point.

type PJ = WJPoint SECP521R1 Fq Fr Source #

Jacobian SECP521R1 point.

type PA = WAPoint SECP521R1 Fq Fr Source #

Affine SECP521R1 curve point.

type Fr = PrimeField 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005449 Source #

Field of coefficients of SECP521R1 curve.

type Fq = PrimeField 6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151 Source #

Field of points of SECP521R1 curve.

data SECP521R1 Source #

SECP521R1 curve.

Instances
WPCurve SECP521R1 Fq Fr Source #

Projective SECP521R1 curve is a Weierstrass projective curve.

Instance details

Defined in Curve.Weierstrass.SECP521R1

WJCurve SECP521R1 Fq Fr Source #

Jacobian SECP521R1 curve is a Weierstrass Jacobian curve.

Instance details

Defined in Curve.Weierstrass.SECP521R1

WACurve SECP521R1 Fq Fr Source #

Affine SECP521R1 curve is a Weierstrass affine curve.

Instance details

Defined in Curve.Weierstrass.SECP521R1

Curve Weierstrass c SECP521R1 Fq Fr => WCurve c SECP521R1 Fq Fr Source #

SECP521R1 curve is a Weierstrass curve.

Instance details

Defined in Curve.Weierstrass.SECP521R1

_a :: Fq Source #

Coefficient A of SECP521R1 curve.

_b :: Fq Source #

Coefficient B of SECP521R1 curve.

_h :: Integer Source #

Cofactor of SECP521R1 curve.

_q :: Integer Source #

Characteristic of SECP521R1 curve.

_r :: Integer Source #

Order of SECP521R1 curve.

_x :: Fq Source #

Coordinate X of SECP521R1 curve.

_y :: Fq Source #

Coordinate Y of SECP521R1 curve.

gA :: PA Source #

Generator of affine SECP521R1 curve.

gJ :: PJ Source #

Generator of Jacobian SECP521R1 curve.

gP :: PP Source #

Generator of projective SECP521R1 curve.