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Article
Z_2Z_4-additive cyclic codes
Faculty Publications
  • Nuh Aydin, Kenyon College
  • T Abualrub
  • I Siap
Document Type
Article
Publication Date
2-12-2014
Disciplines
Abstract
In this paper, we study Z2Z4-additive cyclic codes. These codes are identified as Z4[x]-submodules of the ring Rr,s=Z2[x]/〈xr-1〉×Z4[x]/〈xs-1〉. The algebraic structure of this family of codes is studied and a set of generator polynomials for this family as a Z4[x]-submodule of the ring Rr,s is determined. We show that the duals of Z2Z4-additive cyclic codes are also cyclic. We also present an infinite family of Maximum Distance separable with respect to the singleton bound codes. Finally, we obtain a number of binary linear codes with optimal parameters from the Z2Z4-additive cyclic codes.
Citation Information
Nuh Aydin, T Abualrub and I Siap. "Z_2Z_4-additive cyclic codes" (2014)
Available at: http://works.bepress.com/noah_aydin/13/