Construction of constant dimension codes via improved inserting construction

被引：7
|
作者：
Niu, Yongfeng [1 ]
Yue, Qin [2 ]
Huang, Daitao [3 ]
机构：
[1] Changzhou Univ, Sch Comp Sci & Artificial Intelligence, Changzhou 213164, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Coll Comp Sci & Technol, Nanjing 211100, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2021年 / 34卷 / 6期
基金：
中国国家自然科学基金;
关键词：
Constant dimension codes; Rank-metric codes; Linkage construction; Inserting construction; SUBSPACE CODES; FERRERS;
D O I：
10.1007/s00200-021-00537-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Constant dimension codes (CDCs), as special subspace codes, have attracted extensive attention due to their application at random network coding. In this paper, we present some variations on the insert construction method by changing the positions of some matrices. Those variations help us to construct more types of CDCs. By restricting the rank of matrices in rank metric codes, We can get that the union of these codes is still a CDC and the minimum subspace distance can be preserved. We generalize the previous results in He et al. (IEEE Commun Lett 25(5):1422-1426, 2021) and Lao et al. (arXiv:2008.09944v1, 2020) and obtain some new lower bounds of CDCs.
引用
收藏
页码：1045 / 1062
页数：18
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