Author(s)

Hongxi Tong, Xiaoqing Wang

Department of Mathematics, Shanghai University, Shanghai, China.

In this paper, we construct MDS Euclidean self-dual codes which are ex-tended 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.

MDS Euclidean Self-Dual Codes, MDS Hermitian Self-Dual Codes, Constacyclic Codes, Cyclic Duadic Codes, Generalized Reed-Solomon Codes

Tong, H. and Wang, X. (2017) New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields. Advances in Pure Mathematics, 7, 325-333. doi: 10.4236/apm.2017.75019.