TY - EJOU AU - Asci, Mustafa AU - Aydinyuz, Suleyman TI - k-Order Fibonacci Polynomials on AES-Like Cryptology T2 - Computer Modeling in Engineering \& Sciences PY - 2022 VL - 131 IS - 1 SN - 1526-1506 AB - The Advanced Encryption Standard (AES) is the most widely used symmetric cipher today. AES has an important place in cryptology. Finite field, also known as Galois Fields, are cornerstones for understanding any cryptography. This encryption method on AES is a method that uses polynomials on Galois fields. In this paper, we generalize the AES-like cryptology on 2 × 2 matrices. We redefine the elements of k-order Fibonacci polynomials sequences using a certain irreducible polynomial in our cryptology algorithm. So, this cryptology algorithm is called AES-like cryptology on the k-order Fibonacci polynomial matrix. KW - Fibonacci numbers; Fibonacci polynomials; k-order Fibonacci polynomials; Fibonacci matrix; k-order Fibonacci polynomial matrix; Galois field DO - 10.32604/cmes.2022.017898