Optimal code families from Fibonacci polynomials

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Köroğlu M. E., Şiap I.

Karatekin Mathematics Days, Çankırı, Turkey, 11 - 13 June 2014, pp.30

  • Publication Type: Conference Paper / Summary Text
  • City: Çankırı
  • Country: Turkey
  • Page Numbers: pp.30
  • Yıldız Technical University Affiliated: Yes

Abstract

Fibonacci number sequences and error correcting codes are well known and studied subjects. They appear in a few papers together. In this work, we study cyclic codes that have generators as Fibonacci polynomials over nite elds. It turns out that such cyclic codes produce families of optimal codes with interesting properties. We explore this relations and present some examples.