elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.BrainpoolP160T1

Contents

BrainpoolP160T1 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint BrainpoolP160T1 Fq Fr
type PJ = WJPoint BrainpoolP160T1 Fq Fr
type PA = WAPoint BrainpoolP160T1 Fq Fr
type R = 1332297598440044874827085038830181364212942568457
type Fr = Prime R
type Q = 1332297598440044874827085558802491743757193798159
type Fq = Prime Q
data BrainpoolP160T1
_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

BrainpoolP160T1 curve

type PP = WPPoint BrainpoolP160T1 Fq Fr Source #

Projective BrainpoolP160T1 point.

type PJ = WJPoint BrainpoolP160T1 Fq Fr Source #

Jacobian BrainpoolP160T1 point.

type PA = WAPoint BrainpoolP160T1 Fq Fr Source #

Affine BrainpoolP160T1 curve point.

type R = 1332297598440044874827085038830181364212942568457 Source #

type Fr = Prime R Source #

Field of coefficients of BrainpoolP160T1 curve.

type Q = 1332297598440044874827085558802491743757193798159 Source #

type Fq = Prime Q Source #

Field of points of BrainpoolP160T1 curve.

data BrainpoolP160T1 Source #

BrainpoolP160T1 curve.

Instances

WPCurve BrainpoolP160T1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP160T1 Methods gP_ :: WPPoint BrainpoolP160T1 Fq Fr Source #
WJCurve BrainpoolP160T1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP160T1 Methods gJ_ :: WJPoint BrainpoolP160T1 Fq Fr Source #
WACurve BrainpoolP160T1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP160T1 Methods gA_ :: WAPoint BrainpoolP160T1 Fq Fr Source #
Curve Weierstrass c BrainpoolP160T1 Fq Fr => WCurve c BrainpoolP160T1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP160T1 Methods a_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source # b_ :: WPoint c BrainpoolP160T1 Fq Fr -> Fq Source # h_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural Source # q_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural Source # r_ :: WPoint c BrainpoolP160T1 Fq Fr -> Natural Source #

_a :: Fq Source #

Coefficient A of BrainpoolP160T1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP160T1 curve.

_h :: Natural Source #

Cofactor of BrainpoolP160T1 curve.

_q :: Natural Source #

Characteristic of BrainpoolP160T1 curve.

_r :: Natural Source #

Order of BrainpoolP160T1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP160T1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP160T1 curve.

gA :: PA Source #

Generator of affine BrainpoolP160T1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP160T1 curve.

gP :: PP Source #

Generator of projective BrainpoolP160T1 curve.