New support 5-designs from lifted linear codes

被引：0

作者：

Ding, Cunsheng ^{[1
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Comp Sci & Engn, Clear Water Bay, Hong Kong, Peoples R China

来源：

THEORETICAL COMPUTER SCIENCE | 2024年 / 989卷

关键词：

Cyclic code; Linear code; l-design;

D O I：

10.1016/j.tcs.2024.114400

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

There are many infinite families of 2 -designs and 3 -designs supported by linear codes in the literature. Recently, several infinite families of 4 -designs from linear codes were discovered. But no infinite family of linear codes supporting an infinite family of nontrivial simple 5 -designs is reported in the literature. It is not easy to construct 5 -designs from sporadic codes. Only a small number of sporadic 5 -designs supported by linear codes are available in the literature. In this paper, we construct eight 5 -designs from some lifted codes of some known linear codes.

引用

页数：8

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