M383.hs

module Curve.Montgomery.M383
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

import Curve.Montgomery (Point(..), MCurve(..), MPoint)

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

-- | M-383 curve
data M383

-- | Field of M-383 curve
type Fp = PrimeField 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45

-- | M-383 curve is a Montgomery curve
instance MCurve M383 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of M-383 curve
type P = MPoint M383 Fp

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

-- | Coefficient @A@ of M-383 curve
_a :: Fp
_a = 0x1f82fe
{-# INLINE _a #-}

-- | Coefficient @B@ of M-383 curve
_b :: Fp
_b = 1
{-# INLINE _b #-}

-- | Generator of M-383 curve
_g :: P
_g = A
     0xc
     0x1ec7ed04aaf834af310e304b2da0f328e7c165f0e8988abd3992861290f617aa1f1b2e7d0b6e332e969991b62555e77e
{-# INLINE _g #-}

-- | Cofactor of M-383 curve
_h :: Integer
_h = 8
{-# INLINE _h #-}

-- | Order of M-383 curve
_n :: Integer
_n = 0x10000000000000000000000000000000000000000000000006c79673ac36ba6e7a32576f7b1b249e46bbc225be9071d7
{-# INLINE _n #-}

-- | Characteristic of M-383 curve
_p :: Integer
_p = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45
{-# INLINE _p #-}