proposition: Lemma syndromeD y y' : syndrome (y + y') = syndrome y + syndrome y'.
proof: Proof. by rewrite /syndrome linearD /= mulmxDr linearD /=. Qed.
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