Constant dimension codes from multilevel construction based on matchings of complete hypergraphs

被引：1

作者：

Liu, Shuangqing ^{[1
]}

Ji, Lijun ^{[2
]}

机构：

[1] Suzhou Univ Sci & Technol, Dept Math, Suzhou 215009, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

DISCRETE MATHEMATICS | 2023年 / 346卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Rank-metric codes; Multilevel construction; Constant dimension codes; ERROR-CORRECTING CODES; SUBSPACE CODES; BOUNDS;

D O I：

10.1016/j.disc.2023.113477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Constant dimension codes (CDCs), as special subspace codes, have received a lot of attention due to its application in random network coding. Multilevel construction and its generalizations play a key role in the constructions of CDCs. In this paper, we show a new generalization of multilevel construction based on matchings of complete hypergraphs. Some lower bounds of Aq(n, 28, k), especially k < 28, can be improved by applying this construction.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9

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