proposition: Lemma lcode0_codebook : [set cw in code a n d] = codebook.
proof: Proof. by apply/setP => /= x; rewrite inE mem_kernel_syndrome0 codebook_syndrome. Qed.
imports: mathcomp(all_ssreflect ssralg finalg poly polydiv cyclic) mathcomp(perm matrix mxpoly vector mxalgebra zmodp) ssr_ext ssralg_ext poly_ext channel_code decoding linearcode hamming dft poly_decoding euclid grs cyclic_code