CYCLIC AND CONSTACYCLIC CODES OVER<i> Z</i><i>4</i> + w<i>Z</i><i>4</i>

Aydin N., ÇENGELLENMİŞ Y., Dertli A.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.61, sa.6, ss.1447-1457, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.4134/bkms.b210265
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1447-1457
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

. In this paper, we study the structure of cyclic, quasi-cyclic and constacyclic codes over the finite ring R = Z4+wZ4 of order 16, where w2 = 2. Additionally, self-dual codes and their properties are discussed. Two Gray maps are defined to obtain linear codes over Z4. Gray images of cyclic, quasi-cyclic and constacyclic codes over R are examined under these maps. We present new linear codes over Z4 obtained from codes over R via each Gray map.