New MDS self-dual codes over finite fields
New MDS self-dual codes over finite fields
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DOI：
10.1007/s10623-011-9489-x
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发表时间：
2011-03
期刊：
影响因子：
--
通讯作者：
K. Guenda
中科院分区：
文献类型：
--
作者：
K. Guenda
本文构造了MDS欧几里德和厄米特自对偶码，它们是扩展的循环二元码或非循环码。我们还构造了欧几里德自对偶码，它们是扩展的非循环码。基于这些构造，给出了大量新的MDS自对偶码，其参数是以前不知道存在的自对偶码。
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.