Title : ( On the number of ℤp-double cyclic codes and quasi cyclic codes )
Authors: Taher Abualrub , Ismail Aydogdu , Eda Yildiz , Kazem Khashyarmanesh ,
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Abstract
In this paper, we study the class of Zp-double cyclic codes of length n = r + s. We give a closed formula for the number of Zp-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 Zp-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 Z2-double cyclic codes for specific values of r and s.
Keywords
, Z2, double cyclic codes; Zp, double cyclic codes; quasi, cyclic codes; separable; non, separable codes.
@article{paperid:1100638,
author = {طاهر ابوالراب and ا. ایدوقدو and ادا ایلدیز and Khashyarmanesh, Kazem},
title = {On the number of ℤp-double cyclic codes and quasi cyclic codes},
journal = {Journal of Algebra and its Applications},
year = {2023},
volume = {23},
number = {13},
month = {July},
issn = {0219-4988},
keywords = {Z2-double cyclic codes; Zp-double cyclic codes; quasi-cyclic codes; separable;
non-separable codes.},
}
%0 Journal Article
%T On the number of ℤp-double cyclic codes and quasi cyclic codes
%A طاهر ابوالراب
%A ا. ایدوقدو
%A ادا ایلدیز
%A Khashyarmanesh, Kazem
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2023
