SECT409K1.hs

module Curve.Binary.SECT409K1
  ( F2m
  , P
  , _a
  , _b
  , _f
  , _g
  , _h
  , _n
  ) where

import Protolude

import BinaryField (BinaryField)

import Curve.Binary (BCurve(..), BPoint, Point(..))

-------------------------------------------------------------------------------
-- Types
-------------------------------------------------------------------------------

-- | SECT409K1 curve
data SECT409K1

-- | Field of SECT409K1 curve
type F2m = BinaryField 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001

-- | SECT409K1 curve is a binary curve
instance BCurve SECT409K1 F2m where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECT409K1 curve
type P = BPoint SECT409K1 F2m

-------------------------------------------------------------------------------
-- Parameters
-------------------------------------------------------------------------------

-- | Coefficient @A@ of SECT409K1 curve
_a :: F2m
_a = 0
{-# INLINE _a #-}

-- | Coefficient @B@ of SECT409K1 curve
_b :: F2m
_b = 1
{-# INLINE _b #-}

-- | Polynomial of SECT409K1 curve
_f :: Integer
_f = 0x2000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001
{-# INLINE _f #-}

-- | Generator of SECT409K1 curve
_g :: P
_g = A
     0x60f05f658f49c1ad3ab1890f7184210efd0987e307c84c27accfb8f9f67cc2c460189eb5aaaa62ee222eb1b35540cfe9023746
     0x1e369050b7c4e42acba1dacbf04299c3460782f918ea427e6325165e9ea10e3da5f6c42e9c55215aa9ca27a5863ec48d8e0286b
{-# INLINE _g #-}

-- | Cofactor of SECT409K1 curve
_h :: Integer
_h = 4
{-# INLINE _h #-}

-- | Order of SECT409K1 curve
_n :: Integer
_n = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffe5f83b2d4ea20400ec4557d5ed3e3e7ca5b4b5c83b8e01e5fcf
{-# INLINE _n #-}