1. On the number of ℤp-double cyclic codes and quasi cyclic codes.
- Author
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Abualrub, Taher, Aydogdu, Ismail, Yildiz, Eda, and Khashyarmanesh, Kazem
- 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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