一个权码在环上F_q[v]/(v^s-v)

Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering Pub Date : 2023-04-10 DOI:10.30931/jetas.1152408

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引用次数: 0

摘要

本文研究了一类非链环上的1 - lee权码，并研究了它们的结构。给出了一李权码的显式构造。给出了一种从给定一李权码派生出更多一李权码的方法。通过定义和利用距离保持的灰色映射，我们得到了有限域上最优的一汉明权码族。

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One weight codes over the ring F_q[v]/(v^s-v)

In this study, we obtain one-Lee weight codes over a class of nonchain rings and study their structures. We give an explicit construction for one-Lee weight codes. A method to derive more one-Lee weight codes from given a one-Lee weight code is also represented. By defining and making use of a distance-preserving Gray map, we get a family of optimal one-Hamming weight codes over finite fields.

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Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering

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