Self-Dual Constacyclic Codes over Finite Non-Chain Rings and Their Applications

被引：0
|
作者：
Gao J. [1 ]
Wang Y.-K. [1 ]
机构：
[1] School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, Shandong
来源：
Tien Tzu Hsueh Pao/Acta Electronica Sinica | 2020年 / 48卷 / 02期
关键词：
Error-correcting codes; Gray map; New Hermitian self-dual codes; Self-dual constacyclic codes;
D O I：
10.3969/j.issn.0372-2112.2020.02.011
中图分类号：
学科分类号：
摘要：
Error-correcting codes are important for the improvement of efficiency and security in information transmission. Constructing codes with good parameters is a fundamental problem in error-correcting codes. In this paper, we mainly study self-dual constacyclic codes over the finite nonchain ring Fq[v]/(vm-v), including Euclidean self-dual constacyclic codes, Hermitian self-dual constacyclic codes and maximal distance separable (MDS) codes of Hermitian self-dual constacyclic codes. We give a necessary condition for constacyclic codes to be Euclidean self-dual and give a necessary and sufficient condition for constacyclic codes to be Hermitian self-dual over the ring Fq[v]/(vm-v).Further, some good self-dual codes are constructed by the Gray map. Especially, a Hermitian self-dual code over F192 with parameters [16, 8, 6] is constructed. © 2020, Chinese Institute of Electronics. All right reserved.
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页码：296 / 302
页数：6
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