A New 2D-PECLSM Map with Hyperchaotic Properties for Image Encryption Application

This study presents 2D-PECLSM, a novel hyperchaotic map that integrates the 2D Logistic and the Sine map to enhance chaotic behavior. We propose a new image encryption algorithm (IEA) that leverages this map alongside fractal theory and global cross-coupled diffusion techniques. The 2D-PECLSM generates two essential chaotic sequences for secure encryption and based on this map associated with fractal theory processes. Each pixel of the plain image is effectively confused using a fractal matrix and globally diffused, ensuring robust protection of visual data. Experimental results demonstrate that the 2D-PECLSM-based IEA significantly outperforms the existing state-of-the-art IEAs, highlighting its potential as a powerful tool for enhancing image security against digital threats. This work contributes valuable insights to the field of cryptography, emphasizing the need for innovative approaches to safeguard sensitive visual information.