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Article
On θ-cyclic codes over F2 + vF2
Faculty Publications
  • Nuh Aydin, Kenyon College
  • Taher Abualrub, American University of Sharjah
  • Padmapani Seneviratne, American University of Sharjah
Document Type
Article
Publication Date
1-1-2012
Disciplines
Abstract

In this paper we study θ-cyclic codes over the ring R = F2 + vF2 = {0, 1, v, v+1} where v2 = v. This is the only ring of order four that is not a field and has a non-trivial ring automorphism. We describe generator polynomials of θ-cyclic codes defined over this ring. We also describe the generator polynomials of the duals of free θ-cyclic codes with respect to Euclidean and Hermitian inner products. Finally, we give examples of optimal self-dual codes with respect to the Euclidean and Hermitian inner products.

Citation Information
Nuh Aydin, Taher Abualrub and Padmapani Seneviratne. "On θ-cyclic codes over F2 + vF2" (2012)
Available at: http://works.bepress.com/noah_aydin/3/