Lee-extremal self-dual codes over F2 + uF2 of lengths 23 and 24

被引：3
作者：
Kim, Hyun Jin [1 ]
机构：
[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 29卷
基金：
新加坡国家研究基金会;
关键词：
Automorphism; Self-dual code; Extremal code; ODD PRIME-ORDER; II CODES; CONSTRUCTION; AUTOMORPHISM; F-2+UF(2);
D O I：
10.1016/j.ffa.2014.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We completely classify the Lee-extremal self-dual codes over F-2 + uF2 of lengths 23 and 24 with a nontrivial automorphism of odd order. In particular, we show that there is no Lee-extremal self-dual code of length 23 with a nontrivial automorphism of odd order, there are 41 inequivalent Lee-extremal Type I codes of length 24 with a nontrivial automorphism of odd order and there exists one Lee-extremal Type II code of length 24 with a nontrivial automorphism of odd order, up to equivalence. Moreover, Lee-extremal Type II codes of length 24 have an automorphism of order 3. (C) 2014 Elsevier Inc. All rights reserved.
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页码：18 / 33
页数：16
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