CONSTRUCTION OF SKEW CYCLIC CODES OVER F-q + vF(q)

Gürsoy F., Siap I., Yildiz B.

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, cilt.8, ss.313-322, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3934/amc.2014.8.313
  • Dergi Adı: ADVANCES IN MATHEMATICS OF COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.313-322
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper skew cyclic codes over the the family of rings Fq + vFq with v(2) = v are studied for the first time in its generality. Structural properties of skew cyclic codes over Fq + vFq are investigated through a decomposition theorem. It is shown that skew cyclic codes over this ring are principally generated. The idempotent generators of skew-cyclic codes over Fq and Fq + vFq have been considered for the first time in literature. Moreover, a BCH type bound is presented for the parameters of these codes.