Optimal code families from Fibonacci polynomials

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Köroğlu M. E., Şiap I.

Karatekin Mathematics Days, Çankırı, Türkiye, 11 - 13 Haziran 2014, ss.30

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Çankırı
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.30
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.