New extremal binary self-dual codes of lengths 64 and 66 from R2-lifts

被引：11

作者：

Kaya, Abidin ^{[1
]}

机构：

[1] Bursa Orhangazi Univ, Dept Comp Engn, TR-16310 Bursa, Turkey

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 46卷

关键词：

Self-dual codes; Extremal codes; Codes over rings; Lifts; LIFTS;

D O I：

10.1016/j.ffa.2017.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Karadeniz and Yildiz introduced an efficient method to search for self-dual codes. It is called lifting method and can be applied to some alphabets. In this work, by considering R-2-lifts of binary self-dual codes of length 16 new extremal binary self-dual codes of lengths 64 are constructed as Gray images. More precisely, we construct 15 new codes of length 64. Moreover, 10 new codes of length 66 were obtained by applying a building-up construction to the binary codes. Codes with these weight enumerators are constructed for the first time in the literature. The results are tabulated. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：271 / 279

页数：9

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