A Multi-level Encryption Scheme Using Affine Transformations and Non-singular Recurrence Matrices
V. James
*
Department of Mathematics, Rajalakshmi Engineering College, Chennai, India.
S. Vasanthi
Department of Mathematics, Rajalakshmi Engineering College, Chennai, India.
*Author to whom correspondence should be addressed.
Abstract
This study presents a multilevel encryption and decryption scheme employing a non-singular matrix derived from a nth order recurrence relation inspired by geometric minimum and maximum matrices. By integrating affine transformations across multiple encryption layers, the scheme achieves enhanced diffusion, confusion, and key sensitivity. The algebraic structure of the proposed matrices ensures invertibility, and the layered design provides increased resistance again common cryptanalytic attacks.
Keywords: Affine transformation, recurrence relation, circulant matrices, non-singular matrices