New MDS self-dual codes over finite fields

被引：45

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.

引用

页码：31 / 42

页数：12

共 15 条

[1]

[Anonymous], 1978, The Theory of Error-Correcting Codes

[2] The structure of 1-generator quasi-twisted codes and new linear codes [J].