New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields  

作　　者：Hongxi Tong Xiaoqing Wang 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai, China

出　　处：《Advances in Pure Mathematics》2017年第5期325-333,共9页理论数学进展（英文）

摘　　要：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.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.

关 键 词：MDS Euclidean SELF-DUAL CODES MDS HERMITIAN SELF-DUAL CODES Constacyclic CODES CYCLIC Duadic CODES Generalized REED-SOLOMON CODES 

分 类 号：O1[理学—数学]