On self-dual constacyclic codes over finite fields

Yiansheng Yang; Wenchao Cai

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On self-dual constacyclic codes over finite fields

机译：关于有限域上的自对偶恒周期码

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摘要

This paper is devoted to the study of self-dual codes arising from constacyclic codes. Necessary and sufficient conditions are given for the existence of Hermitian self-dual constacyclic codes over F_(q~2) of length n. As an application of these necessary and sufficient conditions, some conditions under which MDS Hermitian self-orthogonal and self-dual constacyclic codes exist are obtained.

机译：本文致力于研究由对偶密码产生的自对偶密码。给出了长度为n的F_（q〜2）上的Hermitian自对偶稳态码的存在的充要条件。作为这些必要条件和充分条件的应用，获得了存在MDS Hermitian自正交和自对偶稳态编码的一些条件。

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来源
《Designs, Codes and Crytography》 |2015年第2期|355-364|共10页
作者
Yiansheng Yang; Wenchao Cai;
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作者单位

Department of Mathematics, College of Science, Shanghai University, Shanghai 200444, China;

Department of Mathematics, College of Science, Shanghai University, Shanghai 200444, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Constacyclic codes; Self-dual codes; MDS codes;

机译：并发密码;自对码;MDS代码;

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3. Skew Constacyclic Codes over Finite Fields and Finite Chain Rings [J] . Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta Mathematical Problems in Engineering . 2016,第1期

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5. Construction and decoding of codes on finite fields and finite geometries. [D] . Zhang, Li. 2010

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6. (1 + u)-Constacyclic codes over Z4 + uZ4 [O] . Haifeng Yu, Yu Wang, Minjia Shi -1

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On self-dual constacyclic codes over finite fields

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