A novel 2D cascade modulation couple hyperchaotic mapping for randomized image encryption

Abstract

In this paper, we design a novel two-dimensional hyperchaotic with two positive Lyapunov exponents and a phase distribution region close to uniform. Then, we propose a novel randomized hyperchaotic image encryption algorithm based on the proposed two-dimensional hyperchaotic mapping. The algorithm is designed in such a way that first adds randomization to the input image, and uses the SHA-256 value of the randomized image with the key for extracting required parameters. This randomization property is required for CPA-security. The security performance of the proposed encryption algorithm is illustrated by several experiments, including robustness against noise and data loss attacks, statistical, differential, and brute-force attacks. These experiments reveal acceptable security in comparison with several recent chaotic image encryption algorithms.