Safe Haskell	None
Language	Haskell2010

Data.Curve.Montgomery.Curve448

Contents

Curve448 curve

Synopsis

module Data.Curve.Montgomery
type PA = MAPoint Curve448 Fq Fr
type R = 181709681073901722637330951972001133588410340171829515070372549795146003961539585716195755291692375963310293709091662304773755859649779
type Fr = Prime R
type Q = 726838724295606890549323807888004534353641360687318060281490199180612328166730772686396383698676545930088884461843637361053498018365439
type Fq = Prime Q
data Curve448
_a :: Fq
_b :: Fq
_h :: Natural
_q :: Natural
_r :: Natural
_x :: Fq
_y :: Fq
gA :: PA

Documentation

module Data.Curve.Montgomery

Curve448 curve

type PA = MAPoint Curve448 Fq Fr Source #

Affine Curve448 curve point.

type R = 181709681073901722637330951972001133588410340171829515070372549795146003961539585716195755291692375963310293709091662304773755859649779 Source #

type Fr = Prime R Source #

Field of coefficients of Curve448 curve.

type Q = 726838724295606890549323807888004534353641360687318060281490199180612328166730772686396383698676545930088884461843637361053498018365439 Source #

type Fq = Prime Q Source #

Field of points of Curve448 curve.

data Curve448 Source #

Curve448 curve.

Instances

MACurve Curve448 Fq Fr Source #
Instance details Defined in Data.Curve.Montgomery.Curve448 Methods gA_ :: MAPoint Curve448 Fq Fr Source #
Curve Montgomery c Curve448 Fq Fr => MCurve c Curve448 Fq Fr Source #
Instance details Defined in Data.Curve.Montgomery.Curve448 Methods a_ :: MPoint c Curve448 Fq Fr -> Fq Source # b_ :: MPoint c Curve448 Fq Fr -> Fq Source # h_ :: MPoint c Curve448 Fq Fr -> Natural Source # q_ :: MPoint c Curve448 Fq Fr -> Natural Source # r_ :: MPoint c Curve448 Fq Fr -> Natural Source #

_a :: Fq Source #

Coefficient A of Curve448 curve.

_b :: Fq Source #

Coefficient B of Curve448 curve.

_h :: Natural Source #

Cofactor of Curve448 curve.

_q :: Natural Source #

Characteristic of Curve448 curve.

_r :: Natural Source #

Order of Curve448 curve.

_x :: Fq Source #

Coordinate X of Curve448 curve.

_y :: Fq Source #

Coordinate Y of Curve448 curve.

gA :: PA Source #

Generator of affine Curve448 curve.