elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.SECP128R2

Contents

SECP128R2 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint SECP128R2 Fq Fr
type PJ = WJPoint SECP128R2 Fq Fr
type PA = WAPoint SECP128R2 Fq Fr
type R = 85070591690620534603955721926813660579
type Fr = Prime R
type Q = 340282366762482138434845932244680310783
type Fq = Prime Q
data SECP128R2
_a :: Fq
_b :: Fq
_h :: Natural
_q :: Natural
_r :: Natural
_x :: Fq
_y :: Fq
gA :: PA
gJ :: PJ
gP :: PP

Documentation

module Data.Curve.Weierstrass

SECP128R2 curve

type PP = WPPoint SECP128R2 Fq Fr Source #

Projective SECP128R2 point.

type PJ = WJPoint SECP128R2 Fq Fr Source #

Jacobian SECP128R2 point.

type PA = WAPoint SECP128R2 Fq Fr Source #

Affine SECP128R2 curve point.

type R = 85070591690620534603955721926813660579 Source #

type Fr = Prime R Source #

Field of coefficients of SECP128R2 curve.

type Q = 340282366762482138434845932244680310783 Source #

type Fq = Prime Q Source #

Field of points of SECP128R2 curve.

data SECP128R2 Source #

SECP128R2 curve.

Instances

WPCurve SECP128R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP128R2 Methods gP_ :: WPPoint SECP128R2 Fq Fr Source #
WJCurve SECP128R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP128R2 Methods gJ_ :: WJPoint SECP128R2 Fq Fr Source #
WACurve SECP128R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP128R2 Methods gA_ :: WAPoint SECP128R2 Fq Fr Source #
Curve Weierstrass c SECP128R2 Fq Fr => WCurve c SECP128R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP128R2 Methods a_ :: WPoint c SECP128R2 Fq Fr -> Fq Source # b_ :: WPoint c SECP128R2 Fq Fr -> Fq Source # h_ :: WPoint c SECP128R2 Fq Fr -> Natural Source # q_ :: WPoint c SECP128R2 Fq Fr -> Natural Source # r_ :: WPoint c SECP128R2 Fq Fr -> Natural Source #

_a :: Fq Source #

Coefficient A of SECP128R2 curve.

_b :: Fq Source #

Coefficient B of SECP128R2 curve.

_h :: Natural Source #

Cofactor of SECP128R2 curve.

_q :: Natural Source #

Characteristic of SECP128R2 curve.

_r :: Natural Source #

Order of SECP128R2 curve.

_x :: Fq Source #

Coordinate X of SECP128R2 curve.

_y :: Fq Source #

Coordinate Y of SECP128R2 curve.

gA :: PA Source #

Generator of affine SECP128R2 curve.

gJ :: PJ Source #

Generator of Jacobian SECP128R2 curve.

gP :: PP Source #

Generator of projective SECP128R2 curve.