On the number of ℤp-double cyclic codes and quasi cyclic codes

被引：1
|
作者：
Abualrub, Taher [1 ]
Aydogdu, Ismail [2 ]
Khashyarmanesh, Kazem [2 ]
Yildiz, Eda [3 ]
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
[2] Yildiz Tech Univ, Dept Math, Istanbul, Turkiye
[3] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 13期
关键词：
& Zopf; (2-)double cyclic codes; <mml:msub>& Zopf; p</mml:msub>-double cyclic codes; quasi-cyclic codes; separable; non-separable codes;
D O I：
10.1142/S0219498824502153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the class of & Zopf;(p)-double cyclic codes of length n = r + s. We give a closed formula for the number of & Zopf;(p) -double cyclic codes of length n = r + s, for any integers r and s that are relatively prime to p. Moreover, we give a closed formula for the number of quasi-cyclic (QC) codes of length n = 2s and index 2. We also provide formulas for the number of separable and non-separable & Zopf;(p)-double cyclic codes of length n. In order to illustrate the results, we calculate the number of some codes with different r and s. Moreover, we list optimal parameter & Zopf;(2)-double cyclic codes for specific values of r and s.
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页数：12
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