A novel 2D Hyperchaotic Sine Logistic map based image encryption scheme

As online tools and communication methods become increasingly prevalent, ensuring the secure transmission of digital images over the internet has become a critical concern. This research presents a novel approach to image encryption using a 2D Hyperchaotic Sine Logistic (2D-HSL) map. This new map addresses the limitations of current methods, which often lack sufficient randomness and are vulnerable to attacks. The 2D-HSL map exhibits superior randomness and unpredictability compared to traditional chaotic maps, as evidenced by its higher Lyapunov exponent and sample entropy. Notably, it achieves the highest recorded Lyapunov exponent of 17.121. The proposed encryption scheme incorporates a pixel-shuffling technique that relocates image pixels to random positions, effectively concealing the original image data. Additionally, a pixel-diffusion strategy is employed to eliminate any discernible patterns in the encrypted image, further enhancing security. The robustness of the scheme has been validated through various tests, including attack simulations, randomness assessments, and data dispersion analyses. When applied to a standard Lena color image (256 x 256 pixels), the encryption scheme yields an entropy of 7.9993, an NPCR value of 99.62%, and a UACI value of 33.41%. These results indicate that the encrypted images are highly resistant to attacks aimed at recovering the original data and can only be decrypted with the correct key. This research represents a significant advancement in image encryption, providing a more secure method for protecting sensitive image data during transmission.