Cyclic codes over the rings Z(2)+uZ(2) and Z(2)+uZ(2)+u(2)Z(2)

Abualrub T., Siap I.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.42, sa.3, ss.273-287, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10623-006-9034-5
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.273-287
  • Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we study cyclic codes over the rings Z (2) + uZ (2) and Z (2) + uZ (2) + u(2) Z (2) . We find a set of generators for these codes. The rank, the dual, and the Hamming distance of these codes are studied as well. Examples of cyclic codes of various lengths are also studied.