Some new constructions of MDS self-dual codes over finite fields

被引：0

作者：

Lebed, Khawla ^{[1
]}

Liu, Hongwei ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Central China Normal University, Wuhan,Hubei,430079, China

来源：

Finite Fields and their Applications | 2022年 / 77卷

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摘要：

In this paper, for some fixed q, we construct some new classes of maximum distance separable (MDS) self-dual codes over Fq by using (extended) generalized Reed-Solomon codes. Our constructions utilize the additive and/or multiplicative structures of the finite field Fq. It reveals that by choosing suitable subsets of Fq, more MDS self-dual codes with new parameters can be found. © 2021 Elsevier Inc.

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