Genelleştirilmiş Fibonacci ve Lucas polinomlarıyla birlikte sağ devirsel matrisler ve kodlama teorisi

Yıl 2019, Cilt: 21 Sayı: 1, 306 - 322, 15.03.2019

Sümeyra Uçar , Nihal Yılmaz Özgür

https://doi.org/10.25092/baunfbed.547188

Öz

Bu çalışmada elemanları genelleştirilmiş Fibonacci ve Lucas polinomları olan devirsel matrisler kullanılarak iki yeni kodlama algoritması vereceğiz. Bu amaçla, genelleşirilmiş Fibonacci polinomları, genelleştirilmiş Lucas polimomları  ve geometrik diziler kullanılarak sağ devirsel matrislerin bazı temel özelliklerini çalışacağız.

Anahtar Kelimeler

Kodlama/kod çözme metodu, genelleştirilmiş Fibonacci polinomları, genelleştirilmiş Lucas polinomları, sağ devirsel matris

Right circulant matrices with generalized Fibonacci and Lucas polynomials and coding theory

Öz

In the present paper, we consider two new coding algorithms by means of right circulant matrices with elements generalized Fibonacci and Lucas polynomials. To that end, we study basic properties of right circulant matrices using generalized Fibonacci polynomials, generalized Lucas polynomials and geometric sequences.

Anahtar Kelimeler

Coding/decoding method, right circulant matrix, generalized Fibonacci polynomials, generalized Lucas polynomials

Kaynakça

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