On the number of Z2Z4 and ZpZp2-additive cyclic codes

被引：0

作者：

Yildiz, Eda ^{[1
]}

Abualrub, Taher ^{[2
]}

Aydogdu, Ismail ^{[1
]}

机构：

[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey

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

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2023年 / 34卷 / 01期

关键词：

Z(2)Z(4)-additive cyclic codes; Z(p)Z(p2)-additive cyclic codes; counting; separable; non-separable codes;

D O I：

10.1007/s00200-020-00474-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we give the exact number of Z(2)Z(4)-additive cyclic codes of length n = r + s, for any positive integer r and any positive odd integer s. We will provide a formula for the the number of separable Z(2)Z(4)-additive cyclic codes of length n and then a formula for the number of non-separable Z(2)Z(4)-additive cyclic codes of length n. Then, we have generalized our approach to give the exact number of Z(p)Z(p2)-additive cyclic codes of length n = r + s, for any prime p, any positive integer r and any positive integer s where gcd (p, s) = 1. Moreover, we will provide examples of the number of these codes with different lengths n = r + s.

引用

页码：81 / 97

页数：17

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