Representation of integers by k -generalized Fibonacci sequences and applications in cryptography
Asian-European Journal of Mathematics, cilt.14, sa.9, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 9
- Basım Tarihi: 2021
- Doi Numarası: 10.1142/s1793557121501576
- Dergi Adı: Asian-European Journal of Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Anahtar Kelimeler: k-generalized Fibonacci sequences, generalized Tribonacci sequences, Tribonacci sequence, linear recurrent sequences, representation of integers, cryptography, encryption, decryption
- Kırklareli Üniversitesi Adresli: Evet
Özet
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 (Fn(k)) n. Lastly, some applications to cryptography are given by using (Fn(k)) n.