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

Abualrub T., AYDOĞDU İ., YILDIZ YILMAZ E., Khashyarmanesh K.

Journal of Algebra and its Applications, cilt.23, sa.13, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 13
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219498824502153
  • Dergi Adı: Journal of Algebra and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: non-separable codes, quasi-cyclic codes, separable, Z2-double cyclic codes, Zp-double cyclic codes
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.