Classification of binary self-dual [48,24,10] codes with an automorphism of odd prime order

被引：8

作者：

Bouyuklieva, Stefka ^{[2
]}

Yankov, Nikolay ^{[3
]}

Kim, Jon-Lark ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

[2] Veliko Tarnovo Univ, Fac Math & Informat, Veliko Tarnovo 5000, Bulgaria

[3] Univ Shumen, Fac Math & Informat, Shumen 9700, Bulgaria

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2012年 / 18卷 / 06期

关键词：

Automorphism groups; Cubic self-dual codes; Self-dual codes; LENGTH;

D O I：

10.1016/j.ffa.2012.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to complete the classification of binary self-dual [48, 24, 10] codes with an automorphism of odd prime order. We prove that if there is a self-dual [48, 24, 10] code with an automorphism of type p-(c, f) with p being an odd prime, then p = 3, c = 16, f = 0. By considering only an automorphism of type 3-(16, 0), we prove that there are exactly 264 inequivalent self-dual [48, 24, 10] codes with an automorphism of odd prime order, equivalently, there are exactly 264 inequivalent cubic self-dual [48, 24, 10] codes. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：1104 / 1113

页数：10

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