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.
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页数：9
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