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

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作者
Lebed, Khawla [1 ]
Liu, Hongwei [1 ]
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[1] School of Mathematics and Statistics, Central China Normal University, Wuhan,Hubei,430079, China
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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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