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

被引：1

作者：

Castillo-Guillen, C. A. ^{[1
]}

Renteria-Marquez, C. ^{[2
]}

机构：

[1] Univ Bienestar Benito Juarez Garcia, Dept Math, Tlahuac Ave 6391, Ciudad De Mexico 13360, Mexico

[2] Inst Politecn Nacl, Dept Math, Escuela Super Fis & Matemat, Inst Politecn Nacl Ave S-N, Ciudad De Mexico 07300, Mexico

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2020年 / 28卷 / 02期

关键词：

Chain rings; Commutative finite local rings; Constacyclic codes; Frobenius local rings; NEGACYCLIC CODES;

D O I：

10.2478/auom-2020-0020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 p(5) elements (p a prime) and nilpotency index 4 are given. And the number and structure of gamma-constacyclic codes over those rings, of length relatively prime to the characteristic of the residue field of the ring, are determined.

引用

页码：67 / 91

页数：25

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