proposition: Lemma mem_kernel_syndrome0 y : (y \in kernel) = (syndrome y == 0).
proof: Proof. by rewrite memv_ker lfunE. 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