New extremal binary self-dual codes of length 58 as R3-lifts from the shortened binary [8,4,4] Hamming code

被引：3

作者：

Karadeniz, Suat ^{[1
]}

Kaya, Abidin ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 09期

关键词：

AUTOMORPHISM; CONSTRUCTIONS;

D O I：

10.1016/j.jfranklin.2012.08.011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this correspondence, a lift of the shortened binary [8,4,4] Hamming code to the ring R-3 is described. Using this lift, a family of self-dual codes over R-3 of length 7 are obtained. By taking the binary images of these codes and applying the extension method given in [15], 11 new extremal binary self-dual [58,29,10] codes with new weight enumerators are found which were not previously known to exist. (c) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2824 / 2833

页数：10

共 17 条

[1] New extremal binary self-dual codes of length 64 from -lifts of the extended binary Hamming code
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[2] NEW EXTREMAL BINARY SELF-DUAL CODES OF LENGTH 68 FROM R2-LIFTS OF BINARY SELF-DUAL CODES
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[10] An altered four circulant construction for self-dual codes from group rings and new extremal binary self-dual codes I
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