Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes

被引：0

作者：

Makoto Araya

Masaaki Harada

机构：

[1] Shizuoka University,Department of Computer Science

[2] Tohoku University,Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences

来源：

Designs, Codes and Cryptography | 2023年 / 91卷

关键词：

Self-dual code; Weight enumerator; -design; Near-extremal ternary self-dual code; Near-extremal quaternary Hermitian self-dual code; 94B05; 05B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by 12 and quaternary near-extremal Hermitian self-dual codes of length divisible by 6. We consider the weight enumerators for which there is a ternary near-extremal self-dual code of length 12m for m=3,4,5,6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m =3,4,5,6$$\end{document}. Also we consider the weight enumerators for which there is a quaternary near-extremal Hermitian self-dual code of length 6m for m=4,5,6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m =4,5,6$$\end{document}.

引用

页码：1813 / 1843

页数：30

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