Z4R-additive cyclic and constacyclic codes and MDSS codes

被引：0

作者：

Ghajari, Arazgol ^{[1
]}

Khashyarmanesh, Kazem ^{[1
]}

Abualrub, Taher ^{[2
]}

Siap, Irfan ^{[3
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159-91775, Mashhad, Razavi Khorasan, Iran

[2] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates

[3] Jacodesmath Inst, TR-34220 Istanbul, Turkey

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2023年 / 15卷 / 01期

关键词：

Additive cyclic codes; generator polynomials; dual codes and additive constacyclic codes;

D O I：

10.1142/S1793830922500665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will study the structure of Z(4)R-additive codes where Z(4) = {0, 1, 2, 3} is the well-known ring of 4 elements and R is the ring given by R = Z(4) + uZ(4) + vZ(4), where u(2) = u, v(2) = v and uv = vu = 0. We will classify all maximum distance separable codes with respect to the Singleton bound (MDSS) over Z(4)R. Then we will focus on Z(4)R-additive cyclic and constacyclic codes. We will find a unique set of generator polynomials for these codes and determine minimum spanning sets for them. We will also find the generator polynomials for the dual of any Z(4)R-additive cyclic or constacyclic code.

引用

页数：21

共 25 条

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