elliptic-curve-0.3.0: Elliptic curve library

Safe Haskell	None
Language	Haskell2010

Data.Curve.Weierstrass.BrainpoolP192R1

Contents

BrainpoolP192R1 curve

Synopsis

module Data.Curve.Weierstrass
type PP = WPPoint BrainpoolP192R1 Fq Fr
type PJ = WJPoint BrainpoolP192R1 Fq Fr
type PA = WAPoint BrainpoolP192R1 Fq Fr
type R = 4781668983906166242955001894269038308119863659119834868929
type Fr = Prime R
type Q = 4781668983906166242955001894344923773259119655253013193367
type Fq = Prime Q
data BrainpoolP192R1
_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

BrainpoolP192R1 curve

type PP = WPPoint BrainpoolP192R1 Fq Fr Source #

Projective BrainpoolP192R1 point.

type PJ = WJPoint BrainpoolP192R1 Fq Fr Source #

Jacobian BrainpoolP192R1 point.

type PA = WAPoint BrainpoolP192R1 Fq Fr Source #

Affine BrainpoolP192R1 curve point.

type R = 4781668983906166242955001894269038308119863659119834868929 Source #

type Fr = Prime R Source #

Field of coefficients of BrainpoolP192R1 curve.

type Q = 4781668983906166242955001894344923773259119655253013193367 Source #

type Fq = Prime Q Source #

Field of points of BrainpoolP192R1 curve.

data BrainpoolP192R1 Source #

BrainpoolP192R1 curve.

Instances

WPCurve BrainpoolP192R1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP192R1 Methods gP_ :: WPPoint BrainpoolP192R1 Fq Fr Source #
WJCurve BrainpoolP192R1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP192R1 Methods gJ_ :: WJPoint BrainpoolP192R1 Fq Fr Source #
WACurve BrainpoolP192R1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP192R1 Methods gA_ :: WAPoint BrainpoolP192R1 Fq Fr Source #
Curve Weierstrass c BrainpoolP192R1 Fq Fr => WCurve c BrainpoolP192R1 Fq Fr Source #
Instance details Defined in Data.Curve.Weierstrass.BrainpoolP192R1 Methods a_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source # b_ :: WPoint c BrainpoolP192R1 Fq Fr -> Fq Source # h_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural Source # q_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural Source # r_ :: WPoint c BrainpoolP192R1 Fq Fr -> Natural Source #

_a :: Fq Source #

Coefficient A of BrainpoolP192R1 curve.

_b :: Fq Source #

Coefficient B of BrainpoolP192R1 curve.

_h :: Natural Source #

Cofactor of BrainpoolP192R1 curve.

_q :: Natural Source #

Characteristic of BrainpoolP192R1 curve.

_r :: Natural Source #

Order of BrainpoolP192R1 curve.

_x :: Fq Source #

Coordinate X of BrainpoolP192R1 curve.

_y :: Fq Source #

Coordinate Y of BrainpoolP192R1 curve.

gA :: PA Source #

Generator of affine BrainpoolP192R1 curve.

gJ :: PJ Source #

Generator of Jacobian BrainpoolP192R1 curve.

gP :: PP Source #

Generator of projective BrainpoolP192R1 curve.