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Some new constructions of MDS self-dual codes over finite fields
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2021-10-13 , DOI: 10.1016/j.ffa.2021.101934
Khawla Lebed 1 , Hongwei Liu 1
Affiliation  

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.



中文翻译:

有限域上MDS自对偶码的一些新构造

在本文中,对于一些固定的q,我们构造了一些新的最大距离可分 (MDS) 自对偶代码类Fq通过使用(扩展的)广义 Reed-Solomon 代码。我们的构造利用有限域的加法和/或乘法结构Fq. 它表明,通过选择合适的子集Fq,可以找到更多带有新参数的MDS自对码。

更新日期:2021-10-13
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