fact: Definition hom_syndrome : 'Hom(matrix_vectType F 1 n, matrix_vectType F 1 m) := linfun lin_syndrome.
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