Sümeyra UÇAR, Nihal YILMAZ ÖZGÜR

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

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.

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

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.

Keywords:

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

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