Double skew cyclic codes over F-q

AYDOĞDU İ., Hesari R. M., Samei K.

COMPUTATIONAL & APPLIED MATHEMATICS, cilt.41, sa.3, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s40314-022-01833-2
  • Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
  • Anahtar Kelimeler: Skew cyclic code, Double skew cyclic code, Duality, Optimal code
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we characterize the algebraic structure of double skew cyclic codes over F-q , where q is a prime power. We determine the generator polynomials of both the double skew cyclic codes over F-q and their duals. We also present several examples of optimal parameter and MDS codes that we derived these codes from double skew cyclic codes over F-q.