Dynamic phenomena of a financial hyperchaotic system and DNA sequences for image encryption

With advances in modern technology, the security of information, including the protection of digital images, is of particular interest. Due to the type of special storage format of images and the fateful dimension of 1D map that have a small secret key space, in this paper, a joint-based encryption technique on the pseudo-random and sophisticated character of hyperchaotic behavior and DNA coding is proposed. The entire dynamics of a financial hyperchaotic system is studied for a better selection of the sequence key using nonlinear analysis tools. A rich dynamic of this analysis reveals a plethora of phenomena such as multistability and offset boosting, which, to our knowledge, have not yet been the subject of a study on financial hyperchaotic systems. The set consisting of the pseudo-random aspect of the financial hyperchaotic system used in all stages of encryption, DNA coding (algebraic operations, complementation, and DNA rules), and the scrambling of the positions of each image pixel is exploited to reinforce the effectiveness of the confusion and diffusion of digital images. To analyze the security and robustness of the proposed algorithm, some security tests such as histogram analysis, correlation, information entropy, as well as key analysis are carried out. The values of correlation coefficients of the encrypted images using the proposed scheme are close to zero, The entropy values of the test images are overall greater than 7.99 and the key space of the is greater than 2100. Besides, differential analysis shows that the number of pixel change rate (NPCR) and unified average change intensity (UACI) for the proposed technique are greater than 99.50% and 30%, respectively. Furthermore, the quantitative analyses of occlusion and data loss attacks as well as the results of comparison with some advanced algorithms show the efficiency and security of the proposed cryptosystem.

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