A Robust Image Cipher System Based on Cramer-Shoup Algorithm and 5-D Hyper Chaotic System

The presented study suggests a novel image encryption method depending on a modified Cramer-Shoup encryption algorithm and a 5D hyper chaotic system. The first public key encryption algorithm to be shown secure towards adaptive selected cipher-text attack is the Cramer-Shoup system. The encryption algorithm encrypts and decrypts images with different sizes using the Cramer-Shoup substitution technique and the 5D hyper chaotic permutation technique. A modified Cramer-Shoup algorithm is used to substitute the input image after it has first been permuted with the use of hyper chaotic system. The suggested approach will quadruple the size of the encrypted image in comparison with the original image The proposed system had been tested using a variety of methods, and results show that it has a substantially uniform histogram for the dataset. The smallest correlation horizontally is −0.03894, vertically is −0.00898, and diagonally is −0.004478 for all tested images. The greatest entropy is 7.691532, the greatest maximum deviation is 54959, the greatest irregular deviation is 92039, and the greatest peak signal-to-noise ratio (PSNR) is 7.703765, while the greatest mean square error (MSE) is 40.427. Furthermore, the unified average changing intensity (UACI) is close to 0.339956, and the number of pixels change rate (NPCR) is 0.996238.