Three new classes of optimal quinary cyclic codes with minimum distance four
Three new classes of optimal quinary cyclic codes with minimum distance four
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DOI：
10.1007/s00200-023-00621-7
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发表时间：
2023-08
期刊：
影响因子：
--
通讯作者：
Y. Liu;X. Cao
中科院分区：
文献类型：
--
作者：
Y. Liu;X. Cao
由于循环码在消费电子、数据存储系统和通信系统中的广泛应用，多年来一直是一个重要的研究课题。最近，在文献中提出了几类最优的五循环码的形式，其中。本文考虑有限域上某些方程的解，给出了带参数形式的三种新的无限族最优五循环码。具体来说，我们在吴高飞等人提出的一个开放问题上取得了进展。
Due to their wide applications in consumer electronics, data storage systems and communication systems, cyclic codes have been an important subject of study for many years. Recently, several classes of optimal quinary cyclic codes of the formsandare presented in the literature, whereand. In this paper, by considering the solutions of certain equations over finite fields, we give three new classes of infinite families of optimal quinary cyclic codes of the formwith parameters. Specifically, we make progress towards an open problem proposed by Gaofei Wu et al. .