Module Qrc.Gf_256

The type for degree 8 polynomials, using 0x1FF bits. The ith zero-based bit index represents the coefficient (0 or 1) of the ith degree variable.

The type for bytes, the elements of GF(2⁸).

A galois field instance for a given polynomial and generator.

create ~r ~g is a field modulo polynomial r (must be irreducible) and generator g. g is the base for exp and log.

add x y is y added (xored) to x.

sub x y is y subtracted (xored) to x.

exp f x is the base g exponential gx in f.

log f x is y the base g logarithm of x, i.e. gy = x. This is 255 if x = 0.

mul f x y multiples x by y modulo f's r polynomial.

inv f x is x^-1, the multiplicative inverse of x. This is 0 if x is 0.