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New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields
Department of Mathematics, Shanghai University, Shanghai, China
Department of Mathematics, Shanghai University, Shanghai, China
- 1 Department of Mathematics, Shanghai University, Shanghai, China
- 2 Department of Mathematics, Shanghai University, Shanghai, China
Advances in Pure Mathematics·Volume 07 (2017)·Pages 325–333·Published 10 May 2017·DOI10.4236/apm.2017.75019
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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.
KeywordsMDS Euclidean Self-Dual CodesMDS Hermitian Self-Dual CodesConstacyclic CodesCyclic Duadic CodesGeneralized Reed-Solomon Codes
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