ON Z4Z4[u3]-ADDITIVE CONSTACYCLIC CODES

被引：2

作者：

Prakash, Om ^{[1
]}

Yadav, Shikha ^{[1
]}

Islam, Habibul ^{[1
]}

Sole, Patrick ^{[2
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Patna 801106, Bihar, India

[2] Aix Marseille Univ, Cent Marseille, CNRS, I2M, Marseille, France

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2023年 / 17卷 / 01期

关键词：

Additive code; cyclic code; constacyclic code; Gray map; ADDITIVE CYCLIC CODES;

D O I：

10.3934/amc.2022017

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let Z(4) be the ring of integers modulo 4. This paper studies mixed alphabets Z(4)Z(4)[u(3)]-additive cyclic and lambda-constacyclic codes for units lambda = 1 + 2u(2), 3 + 2u(2). First, we obtain the generator polynomials and minimal generating set of additive cyclic codes. Then we extend our study to determine the structure of additive constacyclic codes. Further, we define some Gray maps and obtain Z(4)-images of such codes. Finally, we present numerical examples that include six new and two best-known quaternary linear codes.

引用

页码：246 / 261

页数：16

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