ON THE EXTREMAL TYPE I BINARY SELF-DUAL CODES WITH NEAR-MINIMAL SHADOW

被引：0

作者：

Han, Sunghyu ^{[1
]}

机构：

[1] KoreaTech, Sch Liberal Arts, Cheonan 31253, South Korea

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2019年 / 37卷 / 1-2期

关键词：

binary codes; extremal codes; minimal shadow; near-minimal shadow; self-dual codes;

D O I：

10.14317/jami.2019.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define near-minimal shadow and study the existence problem of extremal Type I binary self-dual codes with near-minimal shadow. We prove that there is no such codes of length n = 24m + 2(m >= 0), n = 24m + 4(m >= 9), n = 24m + 6(m >= 21), and n = 24m + 10(m >= 87).

引用

页码：85 / 95

页数：11

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