Affine-Hill cipher key generation using self-invertible matrices from \(k-\)division \(L-\)Lehmer-Pell sequences
Elahe Mehraban, Thomas Aaron Gulliver, Ömür Deveci, Evren Hınçal · Journal of Combinatorial Mathematics and Combinatorial Computing · 2025
This paper presents a new sequence called the \(k-\)division sequence. The Pell and Lehmer sequences are then used to define new sequences called the \(k-\)division \(L-\)Lehmer-Pell sequences and some properties of these sequences are determined. Then the \(k-\)division \(L-\)Lehmer-Pell sequences and corresponding self-invertible matrices are used in a new Affine-Hill cipher algorithm. The security of this cipher is examined.