Thereby, jointly based on the special randomness generated by a chaotic Jerk system with hump structure and DNA coding, a cryptosystem is proposed in this article for both text and image encryption. Likewise, the security of medical images, personal images, captures from military satellites, plans to build banks and many others require the protection of digital images. The protection of exchanging messages, passwords of email accounts, bank accounts and many others requires the security of textual data. Nowadays, advances in technology have led to the expansion of the use and exchange of digital data, which places great importance on the security of these data. 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. 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. 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. 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 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. 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 entire dynamics of a financial hyperchaotic system is studied for a better selection of the sequence key using nonlinear analysis tools. 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. With advances in modern technology, the security of information, including the protection of digital images, is of particular interest.
Experiments and analysis present that the proposed algorithm has good feature of security and speed what is more, it is capable of withstanding differential attacks, statistical analysis, known-plaintext and chosen-plaintext attacks.
The initial value of logistic map is generated by a checksum of the plain image so that the proposed algorithm can resist certain attacks. Two pairs of columns permute within each pair after two pairs of rows did, at the same time, a row or column of pixels are encrypted by different keys so that shuffling and diffusion stage are combined into one and performed simultaneously. Four pointers are designed to scan the plain image, and another four generated by logistic map are appointed to determine the rows or columns to be switched.
The encryption starts from four directions: top, bottom, left and right by interweaving pairs of rows and columns to achieve a better performance of shuffling and diffusion. In this paper, we proposed an effective and fast image encryption algorithm based on Chaos and interweaving of ranks.
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