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一种三元线性互补对偶码与自正交码的构造方法

李平 张嘉媛 孙中华

李平, 张嘉媛, 孙中华. 一种三元线性互补对偶码与自正交码的构造方法[J]. 电子与信息学报, 2022, 44(11): 4018-4024. doi: 10.11999/JEIT210979
引用本文: 李平, 张嘉媛, 孙中华. 一种三元线性互补对偶码与自正交码的构造方法[J]. 电子与信息学报, 2022, 44(11): 4018-4024. doi: 10.11999/JEIT210979
LI Ping, ZHANG Jiayuan, SUN Zhonghua. A Construction Method of Ternary Linear Complementary Dual Codes and Self-orthogonal Codes[J]. Journal of Electronics & Information Technology, 2022, 44(11): 4018-4024. doi: 10.11999/JEIT210979
Citation: LI Ping, ZHANG Jiayuan, SUN Zhonghua. A Construction Method of Ternary Linear Complementary Dual Codes and Self-orthogonal Codes[J]. Journal of Electronics & Information Technology, 2022, 44(11): 4018-4024. doi: 10.11999/JEIT210979

一种三元线性互补对偶码与自正交码的构造方法

doi: 10.11999/JEIT210979
基金项目: 国家自然科学基金(61972126, 61572168, 62002098)
详细信息
    作者简介:

    李平:男,副教授,硕士生导师,研究方向为代数编码及非线性移位寄存器序列

    张嘉媛:女,硕士生,研究方向为代数编码

    孙中华:男,副教授,硕士生导师,研究方向为代数编码

    通讯作者:

    张嘉媛 zjy981202@163.com

  • 中图分类号: TN911.22

A Construction Method of Ternary Linear Complementary Dual Codes and Self-orthogonal Codes

Funds: The National Natural Science Foundation of China (61972126, 61572168, 62002098)
  • 摘要: 有限域上线性互补对偶(LCD)码有良好的相关特性和正交特性,并能够防御信道攻击。自正交码是编码理论中一类非常重要的码,可以用于构造量子纠错码。该文研究了有限域F3上的LCD码。通过选取4种合适的定义集,利用有限域F3上线性码是LCD码或自正交码的判定条件,构造了4类3元LCD码和一些自正交码,并研究了这4类线性码的对偶码,得到了一些3元最优线性码。
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出版历程
  • 收稿日期:  2021-09-15
  • 修回日期:  2021-11-21
  • 录用日期:  2021-11-23
  • 网络出版日期:  2021-11-26
  • 刊出日期:  2022-11-14

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