DNA codes over GR(23, d)[X]/⟨X2, 2X⟩

被引：0

作者：

alvarez-Garcia, C. ^{[1
]}

Castillo-Guillen, C. A. ^{[2
]}

Badaoui, Mohamed ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana I, Dept Matemat, San Rafael Atlixco Ave 186, Mexico City 09340, Mexico

[2] Inst Politecn Nacl, Escuela Super Ingn Mecan & Electr, Ave Luis Enrique Erro S-N, Mexico City 07738, Mexico

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2024年

关键词：

Finite commutative local rings; Constacyclic codes; DNA codes; Reversible codes; CYCLIC CODES; CONSTRUCTION; RINGS;

D O I：

10.1007/s00200-024-00667-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The main results of this paper are in two directions. First, the family of finite local rings of length 4 whose annihilator of their maximal ideals have length 2 is determined. Second, the structure of constacyclic, reversible and DNA codes over those rings are described, the length of the code is relatively prime to the characteristic of the residue field of the ring.

引用

页数：25

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