New coding/decoding algorithm on k-order Fibonacci numbers

C. C. Yücel, M. Aşcı, S. Madak

In this paper, we define a new encryption algorithm by generalizing the 2×2 encryption algorithm and dividing it into k×k type block matrices. This coding algorithm bound to the Qk matrices. Therefore, this algorithm is different from the classical algebraic algorithm. Since matrix operations are at the forefront in this algorithm, it is easily and quickly performed by today's modern computers. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 55-66