Additive cyclic complementary dual codes over F4

Shi M., Liu N., ÖZBUDAK F., Solé P.

Finite Fields and their Applications, cilt.83, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.ffa.2022.102087
  • Dergi Adı: Finite Fields and their Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Anahtar Kelimeler: Additive codes, Cyclic codes, Complementary dual, LCD CODES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 2022 Elsevier Inc.An additive cyclic code of length n over F4 can be defined equivalently as an F2[x]/〈xn+1〉-submodule of F4[x]/〈xn+1〉. In this paper we study additive cyclic and complementary dual codes of odd length over F4 with respect to the trace Hermitian inner product and the trace Euclidean inner product. We characterize subfield subcodes and trace codes of these codes by their generators as binary cyclic codes.