BN384.hs

module Curve.Weierstrass.BN384
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

import Curve.Weierstrass (Point(..), WCurve(..), WPoint)

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

-- | BN384 curve
data BN384

-- | Field of BN384 curve
type Fp = PrimeField 0xfffffffffffffffffff2a96823d5920d2a127e3f6fbca024c8fbe29531892c79534f9d306328261550a7cabd7cccd10b

-- | BN384 curve is a Weierstrass curve
instance WCurve BN384 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of BN384 curve
type P = WPoint BN384 Fp

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

-- | Coefficient @A@ of BN384 curve
_a :: Fp
_a = 0
{-# INLINE _a #-}

-- | Coefficient @B@ of BN384 curve
_b :: Fp
_b = 3
{-# INLINE _b #-}

-- | Generator of BN384 curve
_g :: P
_g = A
     1
     2
{-# INLINE _g #-}

-- | Cofactor of BN384 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of BN384 curve
_n :: Integer
_n = 0xfffffffffffffffffff2a96823d5920d2a127e3f6fbca023c8fbe29531892c795356487d8ac63e4f4db17384341a5775
{-# INLINE _n #-}

-- | Characteristic of BN384 curve
_p :: Integer
_p = 0xfffffffffffffffffff2a96823d5920d2a127e3f6fbca024c8fbe29531892c79534f9d306328261550a7cabd7cccd10b
{-# INLINE _p #-}