elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.Anomalous

Contents

Anomalous curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint Anomalous Fq Fr
type PJ = WJPoint Anomalous Fq Fr
type PA = WAPoint Anomalous Fq Fr
type R = 17676318486848893030961583018778670610489016512983351739677143
type Fr = Prime R
type Q = 17676318486848893030961583018778670610489016512983351739677143
type Fq = Prime Q
data Anomalous
_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

Anomalous curve

type PP = WPPoint Anomalous Fq Fr Source #

Projective Anomalous point.

type PJ = WJPoint Anomalous Fq Fr Source #

Jacobian Anomalous point.

type PA = WAPoint Anomalous Fq Fr Source #

Affine Anomalous curve point.

type R = 17676318486848893030961583018778670610489016512983351739677143 Source #

type Fr = Prime R Source #

Field of coefficients of Anomalous curve.

type Q = 17676318486848893030961583018778670610489016512983351739677143 Source #

type Fq = Prime Q Source #

Field of points of Anomalous curve.

data Anomalous Source #

Anomalous curve.

Instances

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

_a :: Fq Source #

Coefficient A of Anomalous curve.

_b :: Fq Source #

Coefficient B of Anomalous curve.

_h :: Natural Source #

Cofactor of Anomalous curve.

_q :: Natural Source #

Characteristic of Anomalous curve.

_r :: Natural Source #

Order of Anomalous curve.

_x :: Fq Source #

Coordinate X of Anomalous curve.

_y :: Fq Source #

Coordinate Y of Anomalous curve.

gA :: PA Source #

Generator of affine Anomalous curve.

gJ :: PJ Source #

Generator of Jacobian Anomalous curve.

gP :: PP Source #

Generator of projective Anomalous curve.