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 İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Konu: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10623-006-9034-5
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Sayfa Sayıları: ss.273-287

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.