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Construction of MDS Self-dual Codes over Finite Fields

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成果类型:
期刊论文
作者:
Lebed, Khawla;Liu, Hongwei;Luo, Jinquan*
通讯作者:
Luo, Jinquan
作者机构:
[Luo, Jinquan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Luo, Jinquan] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Generalized Reed-Solomon code;Extended Reed-Solomon code;MDS codes;Self-dual code
期刊:
Finite Fields and Their Applications
ISSN:
1071-5797
年:
2019
卷:
59
页码:
199-207
基金类别:
The authors thank the editor and anonymous referees for their work to improve the readability of this paper. This work is partially supported by National Natural Science Foundation of China (NSFC) under Grant 11471008 (J. Luo) and Grant 11871025 (H. Liu) and also supported by the self-determined research funds of CCNU from the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (Grant No. CCNU18TS028 ).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we obtain some new results on the existence of MDS self-dual codes utilizing (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. For finite field with odd characteristic and square cardinality, our results can produce more classes of MDS self-dual codes th...

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