elliptic-curve-0.3.0: Elliptic curve library

Safe HaskellNone
LanguageHaskell2010

Data.Curve.Binary.SECT409K1

Contents

Synopsis

Documentation

module Data.Curve.Binary

SECT409K1 curve

type PP = BPPoint SECT409K1 F2m Fr Source #

Projective SECT409K1 point.

type PA = BAPoint SECT409K1 F2m Fr Source #

Affine SECT409K1 curve point.

type R = 330527984395124299475957654016385519914202341482140609642324395022880711289249191050673258457777458014096366590617731358671 Source #

type Fr = Prime R Source #

Field of coefficients of SECT409K1 curve.

type P = 1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430724437687334722581078999041 Source #

type F2m = Binary P Source #

Field of points of SECT409K1 curve.

data SECT409K1 Source #

SECT409K1 curve.

Instances
BPCurve SECT409K1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409K1

Methods

gP_ :: BPPoint SECT409K1 F2m Fr Source #

BACurve SECT409K1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409K1

Methods

gA_ :: BAPoint SECT409K1 F2m Fr Source #

Curve Binary c SECT409K1 F2m Fr => BCurve c SECT409K1 F2m Fr Source # 
Instance details

Defined in Data.Curve.Binary.SECT409K1

Methods

a_ :: BPoint c SECT409K1 F2m Fr -> F2m Source #

b_ :: BPoint c SECT409K1 F2m Fr -> F2m Source #

h_ :: BPoint c SECT409K1 F2m Fr -> Natural Source #

p_ :: BPoint c SECT409K1 F2m Fr -> Natural Source #

r_ :: BPoint c SECT409K1 F2m Fr -> Natural Source #

_a :: F2m Source #

Coefficient A of SECT409K1 curve.

_b :: F2m Source #

Coefficient B of SECT409K1 curve.

_h :: Natural Source #

Cofactor of SECT409K1 curve.

_p :: Natural Source #

Polynomial of SECT409K1 curve.

_r :: Natural Source #

Order of SECT409K1 curve.

_x :: F2m Source #

Coordinate X of SECT409K1 curve.

_y :: F2m Source #

Coordinate Y of SECT409K1 curve.

gA :: PA Source #

Generator of affine SECT409K1 curve.

gP :: PP Source #

Generator of projective SECT409K1 curve.