Self dual, reversible and complementary duals 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 : 2021-06-01 DOI:10.2478/auom-2021-0017

C. A. Castillo-Guillén, C. Álvarez-García

引用次数: 1

Abstract

Abstract Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given.

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长度为5、幂零指数为4的有限局部Frobenius非链环上的自对偶、可逆和互补对偶常环码。

摘要在长度为5、幂零指数为4的有限局部Frobenius非链环上，当码长相对于环的残馀域的特征为素数时，建立了γ-恒环码的对偶结构，给出了自对偶、可逆γ-恒环码和具有互补对偶的γ-恒环码的代数表征。

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.