New extremal self-dual codes of lengths 36, 38, and 58

被引：47

作者：

Kim, JL ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2001年 / 47卷 / 01期

关键词：

extremal self-dual codes; weight enumerators;

D O I：

10.1109/18.904540

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We construct new extremal self-dual binary codes of lengths 36, 38, and 58. We show that there are at least 14 inequivalent extremal self-dual [36, 18, 8] codes and that there are at lease 368 inequivalent external self-dual [38, 19, 8] codes. For length 58, we construct 11 extremal self-dual [58, 29, 10] codes whose weight enumerators were previously unknown.

引用

页码：386 / 393

页数：8

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