SELF-DUAL CODES AND FIXED-POINT-FREE PERMUTATIONS OF ORDER 2

被引：1
作者：
Kim, Hyun Jin [1 ]
机构：
[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
automorphism; extremal code; optimal code; self-dual code; II CODES; AUTOMORPHISM; CONSTRUCTION; F-2+UF(2);
D O I：
10.4134/BKMS.2014.51.4.1175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct new binary optimal self-dual codes of length 50. We develop a construction method for binary self-dual codes with a fixed-point-free automorphism of order 2. Using this method, we find new binary optimal self-dual codes of length 52. From these codes, we obtain Lee-optimal self-dual codes over the ring F-2 + UF2 of lengths 25 and 26.
引用
收藏
页码：1175 / 1186
页数：12
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