A Novel Chaotic map to improve security Image Based on Mandelbrot Fractals

Abstract

Image encryption has recently attracted a lot of scientists and researchers recently as it's an important information security field. Nevertheless, a number of researches were carried out using various techniques, new and practical algorithms were proposed to enhance secure image encryption schemes. Nowadays, chaotic approaches are used in many different fields, including image encryption and cryptosystem design. Digital image encryption techniques depending on chaotic approaches are new. The given approach for encrypting images makes advantage of random chaotic sequences and it can be quick and very secure. This study proposes a new (eight-dimension chaotic cat map). An 8D chaotic cat map which boosts encryption security and efficiency by encoding pixel intensity values using a lookup table. This method is resistant to recognized plain text attacks, differential and statistical attacks, and differential attacks. The base for the map is the chaotic approach, yet the base for the cryptographic algorithm is discrete math. As a result, it offers more rapid and secure methods of data protection. The image encryption, accompanied with proposal's generated key uses fractal geometry's Mandelbrot set and XOR with the image to boost security. The results that obtained from compute several metrics where the average of NPCR (Number of Pixels Change Rate) (99.758333) the value close to 100% and UACI (Unified Average Changing Intensity) (33.2783333) this value near 33% to against differential attacks additional average of Entropy (7.77048333) and the range of PSNR (0.173-0.149) this value and MES (55.7-56.37) proposed scheme has low PSNR values and high MSE. Our findings demonstrat that the suggested approach has an extremely low correlation coefficient and good security level, Moreover, they reflect that this method is good for the actual image encryption.