Hermitian Self-Orthogonal Constacyclic Codes over F<sub>4<sup>m</sup></sub>

GUAN Qian-qing; KAI Xiao-shan; ZHU Shi-xin

doi:10.3969/j.issn.0372-2112.2017.06.027

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Hermitian Self-Orthogonal Constacyclic Codes over F_4^m

更新时间：2025-07-16

- Hermitian Self-Orthogonal Constacyclic Codes over F_4^m
- Acta Electronica Sinica Vol. 45, Issue 6, Pages: 1469-1474(2017)
- 作者机构：
  
  1. 合肥工业大学数学学院,安徽,合肥,230009
  2. 东南大学移动通信国家重点实验室,江苏,南京,210096
  3. 合肥工业大学数学学院,安徽,合肥,230009
  4. 东南大学移动通信国家重点实验室,江苏,南京,210096
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61370089, No.61572168);Natural Science Foundation of Anhui Province (No.JZ2015AKZR0229, No.1508085MA13, No.1408085QF116);Program for Distinguished Young Talents in Higher Education of Anhui Province in 2014;Open Research Fund for State Key Laboratory of Mobile Communication of Southeast University (No.2014D04)
- DOI：10.3969/j.issn.0372-2112.2017.06.027
  CLC： TN911.22
- Published：2017
- 稿件说明：
移动端阅览
GUAN Qian-qing, KAI Xiao-shan, ZHU Shi-xin. Hermitian Self-Orthogonal Constacyclic Codes over F_4^m[J]. Acta Electronica Sinica, 2017, 45(6): 1469-1474.
DOI：

GUAN Qian-qing, KAI Xiao-shan, ZHU Shi-xin. Hermitian Self-Orthogonal Constacyclic Codes over F_4^m[J]. Acta Electronica Sinica, 2017, 45(6): 1469-1474. DOI： 10.3969/j.issn.0372-2112.2017.06.027.

摘要

有限域上常循环码具有丰富的代数结构，其编译码电路容易实现，因而在信息传输实践中具有重要的应用.该文研究了一类有限域上任意长度的厄米特自正交常循环码的结构，给出了此类有限域上厄米特自正交常循环码的生成多项式与存在条件，确立了此类有限域上厄米特自正交常循环码的计数公式，并且利用此类有限域上偶长度的厄米特自正交常循环码构造了最优的量子码.

Abstract

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.

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DING Jian

LI Hong-ju

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Department of Common Course, Anhui Xinhua University

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Hermitian Self-Orthogonal Constacyclic Codes over F4m

DOI：10.3969/j.issn.0372-2112.2017.06.027

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Abstract

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Hermitian Self-Orthogonal Constacyclic Codes over F_4^m