Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-07-01 DOI:10.2478/auom-2020-0020

C. A. Castillo-Guillén, C. Rentería-Márquez

引用次数: 1

Abstract

Abstract The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given. And the number and structure of γ-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

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长度为5且幂零指数为4的有限局部Frobenius非链环上的恒环码

摘要确定了长度为5且幂零指数为4的有限局部Frobenius非链环族，作为副产物，给出了所有具有p5个元素(p a素数)的有限局部Frobenius非链环族和幂零指数4。并确定了这些环上γ-恒环码的数目和结构，其长度与环的残馀域特征相对素数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.