Constructions of self-orthogonal codes and LCD codes over finite fields


ÇAKMAK M., SINAK A., YAYLA O.

17th International Conference on Information Security and Cryptology, Ankara, Türkiye, 16 - 17 Ekim 2024, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/isctrkiye64784.2024.10779225
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Self-orthogonal codes, which are contained within their dual codes, have applications in linear complementary dual codes, quantum codes, etc. In this paper, we generalize the construction method given by Heng et al. in [Des. Codes Cryptogr. 91(12), 2023] to weakly regular plateaued functions. We first construct several families of p-ary self-orthogonal linear codes with few weights from weakly regular plateaued balanced and unbalanced functions over the finite fields of odd characteristics. Then, we use the constructed p-ary self-orthogonal codes to build new families of p-ary LCD codes.