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Article
Some new binary quasi-cyclic codes from codes over the ring F2 + uF2+vF2+uvF2
Faculty Publications
  • Nuh Aydin, Kenyon College
  • Suat Karadeniz, Faith University - Istanbul
  • Bahattin Yildiz, Faith University - Istabul
Document Type
Article
Publication Date
9-4-2013
Disciplines
Abstract
We consider quasi-cyclic codes over the ring F2+uF2+vF2+uvF2, a finite non-chain ring that has been recently studied in coding theory. The Gray images of these codes are shown to be binary quasi-cyclic codes. Using this method we have obtained seventeen new binary quasi-cyclic codes that are new additions to the database of binary quasi-cyclic codes. Moreover, we also obtain a number of binary quasi-cyclic codes with the same parameters as best known binary linear codes that otherwise have more complicated constructions
Citation Information
Nuh Aydin, Suat Karadeniz and Bahattin Yildiz. "Some new binary quasi-cyclic codes from codes over the ring F2 + uF2+vF2+uvF2" (2013)
Available at: http://works.bepress.com/noah_aydin/9/