elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.SECP112R2

Contents

SECP112R2 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint SECP112R2 Fq Fr
type PJ = WJPoint SECP112R2 Fq Fr
type PA = WAPoint SECP112R2 Fq Fr
type R = 1112921306273428674967732714786891
type Fr = Prime R
type Q = 4451685225093714772084598273548427
type Fq = Prime Q
data SECP112R2
_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

SECP112R2 curve

type PP = WPPoint SECP112R2 Fq Fr Source #

Projective SECP112R2 point.

type PJ = WJPoint SECP112R2 Fq Fr Source #

Jacobian SECP112R2 point.

type PA = WAPoint SECP112R2 Fq Fr Source #

Affine SECP112R2 curve point.

type R = 1112921306273428674967732714786891 Source #

type Fr = Prime R Source #

Field of coefficients of SECP112R2 curve.

type Q = 4451685225093714772084598273548427 Source #

type Fq = Prime Q Source #

Field of points of SECP112R2 curve.

data SECP112R2 Source #

SECP112R2 curve.

Instances

WPCurve SECP112R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP112R2 Methods gP_ :: WPPoint SECP112R2 Fq Fr Source #
WJCurve SECP112R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP112R2 Methods gJ_ :: WJPoint SECP112R2 Fq Fr Source #
WACurve SECP112R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP112R2 Methods gA_ :: WAPoint SECP112R2 Fq Fr Source #
Curve Weierstrass c SECP112R2 Fq Fr => WCurve c SECP112R2 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.SECP112R2 Methods a_ :: WPoint c SECP112R2 Fq Fr -> Fq Source # b_ :: WPoint c SECP112R2 Fq Fr -> Fq Source # h_ :: WPoint c SECP112R2 Fq Fr -> Natural Source # q_ :: WPoint c SECP112R2 Fq Fr -> Natural Source # r_ :: WPoint c SECP112R2 Fq Fr -> Natural Source #

_a :: Fq Source #

Coefficient A of SECP112R2 curve.

_b :: Fq Source #

Coefficient B of SECP112R2 curve.

_h :: Natural Source #

Cofactor of SECP112R2 curve.

_q :: Natural Source #

Characteristic of SECP112R2 curve.

_r :: Natural Source #

Order of SECP112R2 curve.

_x :: Fq Source #

Coordinate X of SECP112R2 curve.

_y :: Fq Source #

Coordinate Y of SECP112R2 curve.

gA :: PA Source #

Generator of affine SECP112R2 curve.

gJ :: PJ Source #

Generator of Jacobian SECP112R2 curve.

gP :: PP Source #

Generator of projective SECP112R2 curve.