Representation of integers by k-generalized Fibonacci sequences and applications in cryptography-Reference-Cited by-同舟云学术

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

Published:2021-02-08 Issue:09 Volume:14 Page:2150157
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Badidja Salim¹,Mokhtar Ahmed Ait²,Özer Özen³

Affiliation:

1. Kasdi Merbah University, Ouargla, BP 30000, Algeria

2. Height Normal School, Kouba, Algiers, BP 92, Algeria

3. Department of Mathematics, Faculty of Science and Arts, Kırklareli University, Kırklareli-39100, Turkey

Abstract

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 [Formula: see text] 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 [Formula: see text]-generalized Fibonacci numbers [Formula: see text]. Lastly, some applications to cryptography are given by using [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557121501576

Reference9 articles.

1. Unique Representation of Positive Integers as a Sum of Distinct Tribonacci Numbers

2. J. L. Brown, Unique Representation of Integers as Sum of Distinct Fibonacci Numbers, Vol. 3 (The Palsylvania State University, 1965), pp. 1–8.

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