2000 character limit reached
New MDS Euclidean and Hermitian self-dual codes over finite fields (1606.07161v1)
Published 23 Jun 2016 in cs.IT and math.IT
Abstract: In this paper, we construct MDS Euclidean self-dual codes which are extended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes. And we give some results on Hermitian self-dual codes, which are the extended cyclic duadic codes.