Hermitian Self-Orthogonal Constacyclic Codes over F4m

被引：0
|
作者：
Guan Q.-Q. [1 ]
Kai X.-S. [1 ,2 ]
Zhu S.-X. [1 ,2 ]
机构：
[1] School of Mathematics, Hefei University of Technology, Hefei, 230009, Anhui
[2] National Mobile Communications Research Laboratory, Southeast University, Nanjing, 210096, Jiangsu
来源：
Guan, Qian-Qing (gqianqing@sina.cn) | 2017年 / Chinese Institute of Electronics卷 / 45期
关键词：
Constacyclic code; Generator polynomial; Hermitian self-orthogonal code; Quantum code;
D O I：
10.3969/j.issn.0372-2112.2017.06.027
中图分类号：
学科分类号：
摘要：
Constacyclic codes over finite fields are a class of important linear codes. This class of codes has rich algebra structure and its encoding and decoding circuits can be easily performed. Constacyclic codes over finite fields have many applications in information transmission. In this paper, the structure of Hermitian self-orthogonal constacyclic codes over a class of finite fields of any length is studied. By using generator polynomial, the condition for the existence of Hermitian self-orthogonal constacyclic codes over this class of finite fields is explored and the enumeration formula of such codes is determined. Further, Hermitian self-orthogonal constacyclic codes over this class finite fields are applied to construct some optimal quantum codes. © 2017, Chinese Institute of Electronics. All right reserved.
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页码：1469 / 1474
页数：5
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