New MDS self-dual codes over finite fields
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In this paper we construct MDS Euclidean and Hermitian self-dual codes which are extended cyclic duadic codes or negacyclic codes. We also construct Euclidean self-dual codes which are extended negacyclic codes. Based on these constructions, a large number of new MDS self-dual codes are given with parameters for which self-dual codes were not previously known to exist.
KeywordsSelf-dual codes MDS codes Cyclic codes Negacyclic codes
Mathematics Subject Classification (2000)94B05 94B15
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