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).
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页码：85 / 95
页数：11
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