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.
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页码：386 / 393
页数：8
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