New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47, 23, 11) designs

被引：2

作者：

Rukavina, Sanja ^{[1
]}

Tonchev, Vladimir D. ^{[2
]}

机构：

[1] Univ Rijeka, Fac Math, Rijeka 51000, Croatia

[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

来源：

EXAMPLES AND COUNTEREXAMPLES | 2024年 / 5卷

关键词：

Self-dual code; Near-extremal code; Symmetric; 2-design; Automorphism group;

D O I：

10.1016/j.exco.2023.100130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper (Araya and Harada, 2023), Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for 145 distinct values of the number A(12) of codewords of minimum weight 12, and raised the question about the existence of codes for other values of A(12). In this note, we use symmetric 2- (47, 23, 11) designs with an automorphism group of order 6 to construct self-dual near-extremal ternary codes of length 48 for 150 new values of A12.

引用

页数：3

共 17 条

[1] Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes [J].