Classification of extremal type II Z4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_4$$\end{document}-codes of length 24

被引:0
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作者
Akihiro Munemasa
Rowena Alma L. Betty
机构
[1] Tohoku University,Graduate School of Information Sciences
[2] University of the Philippines-Diliman,Institute of Mathematics
关键词
Self-dual code; Type II code; Free code; Extremal code; Classification; 94B25; 15A63;
D O I
10.1007/s10623-023-01293-7
中图分类号
学科分类号
摘要
In this paper, we give a classification of extremal Type II Z4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_4$$\end{document}-codes of length 24. This is equivalent to a classification of 4-frames of the Leech lattice up to the action of the automorphism group.
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页码:771 / 785
页数:14
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