BN462.hs

module Curve.Weierstrass.BN462
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

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

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

-- | BN462 curve
data BN462

-- | Field of BN462 curve
type Fp = PrimeField 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908f41c8020ffffffffff6ff66fc6ff687f640000000002401b00840138013

-- | BN462 curve is a Weierstrass curve
instance WCurve BN462 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of BN462 curve
type P = WPoint BN462 Fp

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

-- | Coefficient @A@ of BN462 curve
_a :: Fp
_a = 0
{-# INLINE _a #-}

-- | Coefficient @B@ of BN462 curve
_b :: Fp
_b = 5
{-# INLINE _b #-}

-- | Generator of BN462 curve
_g :: P
_g = A
     0x21a6d67ef250191fadba34a0a30160b9ac9264b6f95f63b3edbec3cf4b2e689db1bbb4e69a416a0b1e79239c0372e5cd70113c98d91f36b6980d
     0x118ea0460f7f7abb82b33676a7432a490eeda842cccfa7d788c659650426e6af77df11b8ae40eb80f475432c66600622ecaa8a5734d36fb03de
{-# INLINE _g #-}

-- | Cofactor of BN462 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of BN462 curve
_n :: Integer
_n = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908ee1c201f7fffffffff6ff66fc7bf717f7c0000000002401b007e010800d
{-# INLINE _n #-}

-- | Characteristic of BN462 curve
_p :: Integer
_p = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908f41c8020ffffffffff6ff66fc6ff687f640000000002401b00840138013
{-# INLINE _p #-}