On skew cyclic codes over a mixed alphabet and their applications to DNA codes

Dertli A., ÇENGELLENMİŞ Y., Aydin N.

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, cilt.14, sa.04, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 04
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s1793830921501433
  • Dergi Adı: DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Skew cyclic codes, DNA codes, reversibility
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we introduce skew cyclic codes over the mixed alphabet F4R, where F-4 is the finite field with 4 elements and R = F-4 + uF(4) + vF(4), u(2) = u , v(2) = v , uv = vu = 0. Our results include a description of the generator polynomials of such codes and a necessary and sufficient condition for an F4R-skew cyclic code to be reversible complement.