On self-dual constacyclic codes over finite fields

On self-dual constacyclic codes over finite fields
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DOI:
10.1007/s10623-013-9865-9
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发表时间:
2015-02
期刊:
Designs, Codes and Cryptography
影响因子:
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通讯作者:
Yiansheng Yang;W. Cai
Yiansheng Yang;W. Cai
中科院分区:
其他
文献类型:
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作者:
Yiansheng Yang;W. Cai

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本文主要研究由常循环码产生的自对偶码。本文给出了长度大于0的Hermitian自对偶常循环码存在的充要条件。作为这些充分必要条件的应用,得到了MDS厄米特自正交和自对偶常循环码存在的一些条件。
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 overof length. 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.