Abstract
In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied (2,q)-distance Fibonacci numbers F2(q,n) and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence (Tq(n))n=−∞∞, which is an extension of Włoch’s sequence (F2(q,n))n=0∞.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference55 articles.
1. Fibonacci and Lucas Numbers with Applications;Koshy,2001
2. Fibonacci Numbers;Vorobiev,2002
3. Harmonies of The World;Wallis,2014
4. Generalized Fibonacci Numbers and Associated Matrices
5. A Generalized Fibonacci Sequence
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