module Data.Curve.Binary.SECT409K1
( module Data.Curve.Binary
, Point(..)
, module Data.Curve.Binary.SECT409K1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Binary
data SECT409K1
type F2m = Binary P
type P = 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
type Fr = Prime R
type R = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf
instance Curve 'Binary c SECT409K1 F2m Fr => BCurve c SECT409K1 F2m Fr where
a_ = const _a
{-# INLINABLE a_ #-}
b_ = const _b
{-# INLINABLE b_ #-}
h_ = const _h
{-# INLINABLE h_ #-}
p_ = const _p
{-# INLINABLE p_ #-}
r_ = const _r
{-# INLINABLE r_ #-}
type PA = BAPoint SECT409K1 F2m Fr
instance BACurve SECT409K1 F2m Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = BPPoint SECT409K1 F2m Fr
instance BPCurve SECT409K1 F2m Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: F2m
_a = 0x0
{-# INLINABLE _a #-}
_b :: F2m
_b = 0x1
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x4
{-# INLINABLE _h #-}
_p :: Natural
_p = 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
{-# INLINABLE _p #-}
_r :: Natural
_r = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf
{-# INLINABLE _r #-}
_x :: F2m
_x = 0x60f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746
{-# INLINABLE _x #-}
_y :: F2m
_y = 0x1e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}