2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134224Linear codes for error detection on a q-ary symmetric channel are studied. It is shown that for given dimension k and minimum distance d, there exists a value μ(d,k) such that if C is a code of length n >= μ(d,k), then neither C nor its dual are good for error detection. For d >> k or k << d good approximations for μ(d,k) are given. A generalization to non-linear codes is also given.To appear in the proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-9, 2005Information TheoryE.4text