TITLE:
New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields
AUTHORS:
Hongxi Tong, Xiaoqing Wang
KEYWORDS:
MDS Euclidean Self-Dual Codes, MDS Hermitian Self-Dual Codes, Constacyclic Codes, Cyclic Duadic Codes, Generalized Reed-Solomon Codes
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.7 No.5,
May
10,
2017
ABSTRACT: 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.