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Generalized bilinear forms graphs and MRD codes over a residue class ring

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成果类型:
期刊论文
作者:
Huang, Li-Ping*
通讯作者:
Huang, Li-Ping
作者机构:
[Huang, Li-Ping] Changsha Univ Sci & Technol, Sch Math & Statis, Changsha 410004, Hunan, Peoples R China.
通讯机构:
[Huang, Li-Ping] C
Changsha Univ Sci & Technol, Sch Math & Statis, Changsha 410004, Hunan, Peoples R China.
语种:
英文
关键词:
Bilinear forms graph;Residue class ring;Independence number;MRD code;Core;Maximum clique
期刊:
Finite Fields and Their Applications
ISSN:
1071-5797
年:
2018
卷:
51
页码:
306-324
基金类别:
We thank the referees for their time and comments. This research was supported by National Natural Science Foundation of China (Project 11371072 ).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
We investigate the generalized bilinear forms graph Γd over a residue class ring Zps. The graph Γd is a connected vertex-transitive graph, and we completely determine its independence number, clique number, chromatic number and maximum cliques. We also prove that cores of both Γd and its complement are maximum cliques. The graph Γd is useful for error-correcting codes. We show that there is a largest independent set of Γd which is...

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