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
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
来源：
Designs, Codes and Cryptography | 2024年 / 92卷 / 3期
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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[11]  
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[12]  
Munemasa A(undefined)Classification of ternary extremal self-dual codes of length undefined undefined undefined-undefined
[13]  
Bosma W(undefined)Decompositions and extremal Type II codes over undefined undefined undefined-undefined
[14]  
Cannon J(undefined)Optimal self-dual codes over undefined undefined undefined-undefined
[15]  
Playoust C(undefined)undefined undefined undefined undefined-undefined
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Conway JH(undefined)undefined undefined undefined undefined-undefined
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Sloane NJA(undefined)undefined undefined undefined undefined-undefined
[18]  
Harada M(undefined)undefined undefined undefined undefined-undefined
[19]  
Harada M(undefined)undefined undefined undefined undefined-undefined
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Lam CH(undefined)undefined undefined undefined undefined-undefined
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