Bidirectional Matrix-Graph Transformations for Secure Image Scrambling and Descrambling

Abstract

The secrecy of data in encryption and decryption process is very important in this multimedia era. This paper introduces a novel scanning method to securely encrypt and decrypt data using a newly defined graph structure. Two key theorems are presented, illustrating the properties of scrambled and descrambled matrices, denoted by and  corresponding to the graph. The proposed method is applied to digital images to demonstrate its effectiveness, providing a foundational understanding of this innovative approach