Representation of integers by k-generalized Fibonacci sequences and applications in cryptography.

Autor: Badidja, Salim, Mokhtar, Ahmed Ait, Özer, Özen
Předmět:
Zdroj: Asian-European Journal of Mathematics; Sep2021, Vol. 14 Issue 9, p1-11, 11p
Abstrakt: The aim of this paper is to construct a relation between tribonacci numbers and generalized tribonacci numbers. Besides, certain conditions are obtained to generalize the representation of a positive integer N which is determined in [S. Badidja and A. Boudaoud, Representation of positive integers as a sum of distinct tribonacci numbers, J. Math. Statistic. 13 (2017) 57–61] for a k -generalized Fibonacci numbers (F n (k)) n ∈ ℕ ∗ . Lastly, some applications to cryptography are given by using (F n (k)) n ∈ ℕ ∗ . [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index