New MDS self-dual codes over finite fields

被引：43
|
作者：
Guenda, Kenza [1 ]
机构：
[1] Univ Sci & Technol Algiers, USTHB, Fac Math, Algiers, Algeria
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2012年 / 62卷 / 01期
关键词：
Self-dual codes; MDS codes; Cyclic codes; Negacyclic codes; DUADIC CODES; PRIME FIELDS;
D O I：
10.1007/s10623-011-9489-x
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
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页码：31 / 42
页数：12
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