proposition: Lemma syndromeZ k y : syndrome (k *: y) = k *: syndrome y.
proof: Proof. by rewrite /syndrome 3!linearZ /=. 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