SECT193R1.hs

module Curve.Binary.SECT193R1
  ( F2m
  , P
  , _a
  , _b
  , _f
  , _g
  , _h
  , _n
  ) where

import Protolude

import BinaryField (BinaryField)

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

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

-- | SECT193R1 curve
data SECT193R1

-- | Field of SECT193R1 curve
type F2m = BinaryField 0x2000000000000000000000000000000000000000000008001

-- | SECT193R1 curve is a binary curve
instance BCurve SECT193R1 F2m where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECT193R1 curve
type P = BPoint SECT193R1 F2m

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

-- | Coefficient @A@ of SECT193R1 curve
_a :: F2m
_a = 0x17858feb7a98975169e171f77b4087de098ac8a911df7b01
{-# INLINE _a #-}

-- | Coefficient @B@ of SECT193R1 curve
_b :: F2m
_b = 0xfdfb49bfe6c3a89facadaa7a1e5bbc7cc1c2e5d831478814
{-# INLINE _b #-}

-- | Polynomial of SECT193R1 curve
_f :: Integer
_f = 0x2000000000000000000000000000000000000000000008001
{-# INLINE _f #-}

-- | Generator of SECT193R1 curve
_g :: P
_g = A
     0x1f481bc5f0ff84a74ad6cdf6fdef4bf6179625372d8c0c5e1
     0x25e399f2903712ccf3ea9e3a1ad17fb0b3201b6af7ce1b05
{-# INLINE _g #-}

-- | Cofactor of SECT193R1 curve
_h :: Integer
_h = 2
{-# INLINE _h #-}

-- | Order of SECT193R1 curve
_n :: Integer
_n = 0x1000000000000000000000000c7f34a778f443acc920eba49
{-# INLINE _n #-}