A novel randomized chaotic bit-level image encryption algorithm based on a novel 2D-CICM hyper-chaotic mapping with CPA-security

In this paper, we design a novel chaotic mapping and use it to devise a bit-level image encryption algorithm which provides security against chosen plaintext attacks, or CPA-security for short. We also study various properties of the proposed chaotic mapping, such as having two positive Lyapunov exponents. We also evaluate the randomization of the hyperchaotic discretization approach used in the proposed algorithm using the dieharder 3.31.1 test batteries. Our proposed algorithm is a one-round image encryption algorithm, which give faster encryption and decryption in comparison with more complicated multi-round encryption algorithms. Despite its one-round nature, as is shown in the performance evaluation, it provides acceptable and even competitive security compared to recent chaotic image encryption algorithms. Finally, our proposed image encryption algorithm is robust against noise attacks and data loss.