fact: Definition codeword_lowest_deg c := [forall y, [&& y \in C, y != c & y != 0] ==> (size (rVpoly c) <= size (rVpoly y))].
imports: mathcomp(all_ssreflect ssralg poly polydiv fingroup perm) mathcomp(finalg zmodp matrix mxalgebra mxpoly vector) ssr_ext ssralg_ext poly_ext f2 hamming decoding channel_code