elliptic-curve-0.3.0: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Data.Curve.Binary.SECT409R1

Contents

Synopsis

Documentation

module Data.Curve.Binary

SECT409R1 curve

type PP = BPPoint SECT409R1 F2m Fr Source #

Projective SECT409R1 point.

type PA = BAPoint SECT409R1 F2m Fr Source #

Affine SECT409R1 curve point.

type R = 661055968790248598951915308032771039828404682964281219284648798304157774827374805208143723762179110965979867288366567526771 Source #

type Fr = Prime R Source #

Field of coefficients of SECT409R1 curve.

type P = 1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430724437687334722581078999041 Source #

type F2m = Binary P Source #

Field of points of SECT409R1 curve.

data SECT409R1 Source #

SECT409R1 curve.

Instances
BPCurve SECT409R1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409R1

Methods

gP_ :: BPPoint SECT409R1 F2m Fr Source #

BACurve SECT409R1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409R1

Methods

gA_ :: BAPoint SECT409R1 F2m Fr Source #

Curve Binary c SECT409R1 F2m Fr => BCurve c SECT409R1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409R1

Methods

a_ :: BPoint c SECT409R1 F2m Fr -> F2m Source #

b_ :: BPoint c SECT409R1 F2m Fr -> F2m Source #

h_ :: BPoint c SECT409R1 F2m Fr -> Natural Source #

p_ :: BPoint c SECT409R1 F2m Fr -> Natural Source #

r_ :: BPoint c SECT409R1 F2m Fr -> Natural Source #

_a :: F2m Source #

Coefficient A of SECT409R1 curve.

_b :: F2m Source #

Coefficient B of SECT409R1 curve.

_h :: Natural Source #

Cofactor of SECT409R1 curve.

_p :: Natural Source #

Polynomial of SECT409R1 curve.

_r :: Natural Source #

Order of SECT409R1 curve.

_x :: F2m Source #

Coordinate X of SECT409R1 curve.

_y :: F2m Source #

Coordinate Y of SECT409R1 curve.

gA :: PA Source #

Generator of affine SECT409R1 curve.

gP :: PP Source #

Generator of projective SECT409R1 curve.