tableGF

var (
	ErrFieldSize      = errors.New("only field sizes 4, 8, 16, 32, 64, 128, and 256 are permitted")
	ErrPolyOutOfRange = errors.New("polynomial is out of range")
	ErrReduciblePoly  = errors.New("polynomial is reducible")
	ErrNotGenerator   = errors.New("value is not a generator")
	ErrDivByZero      = errors.New("division by zero")
	ErrLogZero        = errors.New("logarithm of zero")
)

var (
	// GF(4) p=(x^2 + x + 1) g=2
	Poly210_g2 = New(4, 0x7, 2)

	// GF(8) p=(x^3 + x + 1) g=2
	Poly310_g2 = New(8, 0xb, 2)

	// GF(16) p=(x^4 + x + 1) g=2
	Poly410_g2 = New(16, 0x13, 2)

	// GF(32) p=(x^5 + x^2 + 1) g=2
	Poly520_g2 = New(32, 0x25, 2)

	// GF(64) p=(x^6 + x + 1) g=2
	Poly610_g2 = New(64, 0x43, 2)
	// GF(64) p=(x^6 + x + 1) g=7
	Poly610_g7 = New(64, 0x43, 7)

	// GF(128) p=(x^7 + x + 1) g=2
	Poly710_g2 = New(128, 0x83, 2)

	// GF(256), p (x^8 + x^4 + x^3 + x + 1), g 3
	Poly84310_g3 = New(256, 0x11b, 0x03)
	// GF(256), p (x^8 + x^4 + x^3 + x^2 + 1), g 2
	Poly84320_g2 = New(256, 0x11d, 0x02)

	// Some arbitrarily-chosen permutations of GF(n).
	DefaultGF4   = Poly210_g2
	DefaultGF8   = Poly310_g2
	DefaultGF16  = Poly410_g2
	DefaultGF32  = Poly520_g2
	DefaultGF64  = Poly610_g2
	DefaultGF128 = Poly710_g2
	DefaultGF256 = Poly84320_g2

	// Some arbitrarily-chosen permutation of GF(256).
	Default = DefaultGF256
)