THE CLASSICAL AES-LIKE CRYPTOLOGY VIA THE FIBONACCI POLYNOMIAL MATRIX

Authors : Erdinç AVAROĞLU, Orhan DİŞKAYA, Hamza MENKEN

Pages : 123-128

Doi:10.31127/tuje.646926

View : 11 | Download : 9

Publication Date : 2020-07-01

Article Type : Research Paper

Abstract :Galois field, has an important position in cryptology. Advanced Encryption Standard insert ignore into journalissuearticles values(AES); also used in polynomial operations. In this paper, we consider the polynomial operations on the Galois fields, the Fibonacci polynomial sequences. Using a certain irreducible polynomial, we redefine the elements of Fibonacci polynomial sequences to use in our cryptology algorithm. So, we find the classical AES-like cryptology via the Fibonacci polynomial matrix. Successful results were achieved with the method used.
Keywords : Fibonacci numbers, Fibonacci polynomial numbers, Cassini identity, Fibonacci matrix, Galois field