elliptic-curve-0.3.0: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Data.Curve.Weierstrass.BLS48581T

Contents

Synopsis

Documentation

module Data.Curve.Weierstrass

BLS48581 curve

type PP = WPPoint BLS48581 Fq8 Fr Source #

Projective BLS48581 point.

type PJ = WJPoint BLS48581 Fq8 Fr Source #

Jacobian BLS48581 point.

type PA = WAPoint BLS48581 Fq8 Fr Source #

Affine BLS48581 curve point.

data W Source #

Instances
IrreducibleMonic W Fq4 Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension W Fq4 -> VPoly Fq4 #

WPCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gP_ :: WPPoint BLS48581 Fq8 Fr Source #

WJCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gJ_ :: WJPoint BLS48581 Fq8 Fr Source #

WACurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gA_ :: WAPoint BLS48581 Fq8 Fr Source #

Curve Weierstrass c BLS48581 Fq8 Fr => WCurve c BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

a_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

b_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

h_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

q_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

r_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

type Fq8 = Extension W Fq4 Source #

Field of points of BLS48581 curve over Fq8.

data V Source #

Instances
IrreducibleMonic W Fq4 Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension W Fq4 -> VPoly Fq4 #

IrreducibleMonic V Fq2 Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension V Fq2 -> VPoly Fq2 #

WPCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gP_ :: WPPoint BLS48581 Fq8 Fr Source #

WJCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gJ_ :: WJPoint BLS48581 Fq8 Fr Source #

WACurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gA_ :: WAPoint BLS48581 Fq8 Fr Source #

Curve Weierstrass c BLS48581 Fq8 Fr => WCurve c BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

a_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

b_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

h_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

q_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

r_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

type Fq4 = Extension V Fq2 Source #

Field of points of BLS48581 curve over Fq4.

data U Source #

Instances
IrreducibleMonic W Fq4 Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension W Fq4 -> VPoly Fq4 #

IrreducibleMonic V Fq2 Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension V Fq2 -> VPoly Fq2 #

IrreducibleMonic U Fq Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

poly :: Extension U Fq -> VPoly Fq #

WPCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gP_ :: WPPoint BLS48581 Fq8 Fr Source #

WJCurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gJ_ :: WJPoint BLS48581 Fq8 Fr Source #

WACurve BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

gA_ :: WAPoint BLS48581 Fq8 Fr Source #

Curve Weierstrass c BLS48581 Fq8 Fr => WCurve c BLS48581 Fq8 Fr Source # 
Instance details

Defined in Data.Curve.Weierstrass.BLS48581T

Methods

a_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

b_ :: WPoint c BLS48581 Fq8 Fr -> Fq8 Source #

h_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

q_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

r_ :: WPoint c BLS48581 Fq8 Fr -> Natural Source #

type Fq2 = Extension U Fq Source #

Field of points of BLS48581 curve over Fq2.

_a :: Fq8 Source #

Coefficient A of BLS48581 curve.

_b :: Fq8 Source #

Coefficient B of BLS48581 curve.

_h :: Natural Source #

Cofactor of BLS48581 curve.

_q :: Natural Source #

Characteristic of BLS48581 curve.

_r :: Natural Source #

Order of BLS48581 curve.

_x :: Fq8 Source #

Coordinate X of BLS48581 curve.

_y :: Fq8 Source #

Coordinate Y of BLS48581 curve.

gA :: PA Source #

Generator of affine BLS48581 curve.

gJ :: PJ Source #

Generator of Jacobian BLS48581 curve.

gP :: PP Source #

Generator of projective BLS48581 curve.