Additive cyclic complementary dual codes over F4

Shi M., Liu N., ÖZBUDAK F., Solé P.

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

  • Publication Type: Article / Article
  • Volume: 83
  • Publication Date: 2022
  • Doi Number: 10.1016/j.ffa.2022.102087
  • Journal Name: Finite Fields and their Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Keywords: Additive codes, Cyclic codes, Complementary dual, LCD CODES
  • Middle East Technical University Affiliated: Yes

Abstract

© 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.