SECT571R1.hs

module Curve.Binary.SECT571R1
  ( F2m
  , P
  , _a
  , _b
  , _f
  , _g
  , _h
  , _n
  ) where

import Protolude

import BinaryField (BinaryField)

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

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

-- | SECT571R1 curve
data SECT571R1

-- | Field of SECT571R1 curve
type F2m = BinaryField 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425

-- | SECT571R1 curve is a binary curve
instance BCurve SECT571R1 F2m where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECT571R1 curve
type P = BPoint SECT571R1 F2m

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

-- | Coefficient @A@ of SECT571R1 curve
_a :: F2m
_a = 1
{-# INLINE _a #-}

-- | Coefficient @B@ of SECT571R1 curve
_b :: F2m
_b = 0x2f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a
{-# INLINE _b #-}

-- | Polynomial of SECT571R1 curve
_f :: Integer
_f = 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
{-# INLINE _f #-}

-- | Generator of SECT571R1 curve
_g :: P
_g = A
     0x303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19
     0x37bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b
{-# INLINE _g #-}

-- | Cofactor of SECT571R1 curve
_h :: Integer
_h = 2
{-# INLINE _h #-}

-- | Order of SECT571R1 curve
_n :: Integer
_n = 0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47
{-# INLINE _n #-}