The construction of orbit codes based on singular linear space over finite fields

被引：0
|
作者：
Gao, You [1 ]
Niu, Min-Yao [1 ]
Wang, Gang [2 ]
机构：
[1] College of Science, Civil Aviation University of China, Tianjin,S00300, China
[2] Chern Institute of Mathematics and LPMC, Nankai University, Tianjin,300071, China
来源：
Journal of Combinatorial Mathematics and Combinatorial Computing | 2019年 / 108卷
基金：
中国国家自然科学基金;
关键词：
Codes (symbols) - Vector spaces - Network coding;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Orbit code is a class of constant dimension code which is defined as orbit of a subgroup of the general linear group G L „ (F g ), acting on the set of all the subspaces of vector space F£. In this paper, the construction of orbit codes based on the singular general linear group GLn+ (Fq) acting on the set of all the subspaces of type (m, k) in singular linear spaces Fqn+ is given. We give a characterization of orbit code constructed in singular linear space F £ + l , and then give some basic properties of the constructed orbit codes. Finally two examples about our orbit codes for understanding these properties explicitly are presented. © 2019 Charles Babbage Research Centre. All rights reserved.
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页码：245 / 257
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