Color image encryption using minimax differential evolution-based 7D hyper-chaotic map

Abstract

Hyperchaotic maps are generally used in the encryption to generate the secret keys. The number of hyperchaotic maps has been implemented so far. These maps involve a large number of state and control parameters. The major concern is the estimation of these parameters. Because the estimation requires extensive computational search. In this paper, a 7D hyperchaotic map is used to produce the secret keys for image encryption. As this hyperchaotic map require a large number of initial parameters, the manual estimation is computationally extensive. Therefore, minimax differential evolution is utilized to provide the optimal parameters to the hyperchaotic map. The fitness of the parameters is evaluated using correlation coefficient and entropy. The secrets keys are then produced by the proposed hyperchaotic map. These keys are further used to perform the diffusion operation on the input image to generate the encrypted images. Extensive experiments are conducted to investigate the performance of the proposed approach considering the well-known measures. The comparative results show that the proposed approach performs significantly better as compared to the competitive approaches. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.