New MDS Euclidean and Hermitian self-dual codes over finite fields

June 23, 2016 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Hongxi Tong, Xiaoqing Wang arXiv ID 1606.07161 Category cs.IT: Information Theory Citations 38 Venue arXiv.org Last Checked 6 months ago
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.
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