The power-generalized k-Horadam sequences in different modules and a new cryptographic method with these sequences
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, unlike other power sequences, we define new ones in the integer and integer-valued polynomial module. We call these sequences the power-generalized k-Horadam sequence in the integer module and the power-generalized k-Horadam sequence in the integer-valued polynomial module. Using these sequences, we rebuild the ElGamal cryptosystem and then obtain a new cryptographic method by combining this and symmetric systems. We provide an encryption example where our method is applied. Finally, we see the advantages of the new cryptographic method when we compare the obtained new cryptographic method with some of the asymmetric cryptographic systems such as RSA and ElGamal. And we achieve that new cryptographic method that has more advantageous.
Açıklama
Anahtar Kelimeler
Fibonacci sequence, ElGamal cryptosystem, symmetric cryptography, the power-generalized k-Horadam sequence, integer-valued polynomial module
Kaynak
Discrete Mathematics Algorithms and Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
16
Sayı
5
