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.
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页码：67 / 91
页数：25
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