A COMPLETE STRUCTURE OF SKEW CYCLIC CODES OVER Z4 + uZ4

被引：0

作者：

Shah, Saumya ^{[1
]}

Sharma, Amit ^{[1
]}

机构：

[1] Sardar Vallabhbhai Natl Inst Technol, Dept Math, Surat 395007, Gujarat, India

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2025年 / 19卷 / 01期

关键词：

Skew-cyclic codes; generating Set; Z(4) + uZ(4); gray map. new codes; CONSTACYCLIC CODES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study a class of skew cyclic codes over the ring R = Z(4) + uZ(4), with u(2) = 1. We determine a complete structure of skew cyclic codes over R by investigating the generating sets of these codes. Additionally, we have identified some more conditions on generating polynomials for these codes when dealing with odd lengths, and in this case, the skew-cyclic codes are equivalent to cyclic codes. Some examples have been given to illustrate the results. Moreover, we present some examples of skew cyclic codes over R whose Z(4) images give some new linear codes over Z(4).

引用

页码：259 / 275

页数：17

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