Abstract
In the current paper, a new conservative hyperchaotic system is proposed. We make a quantitative analysis of the complexity of the conservative hyperchaotic system from several different aspects, such as phase diagrams, bifurcation diagrams, Lyapunov exponents, and Kaplan–Yorke dimension. The complexity of chaotic time series is tested with various measurement tools, such as the scale index, the multiscale sample entropy and approximate entropy, TESTU01, and NIST test. In addition, a novel hyperchao-based image encryption scheme with dynamic DNA coding is proposed. The encryption algorithm consists of line-by-line scrambling and diffusion of DNA encoding characters. The dynamic DNA coding mechanism is introduced by using the chaotic sequence. The generation of the intermediate secret keys is related to the sum of the image DNA code, and the ciphertext feedback mechanism of the DNA encoding image is introduced in the diffusion procedure. Simulation experiments and various security analyses show that this algorithm has a good effect on encryption, high time efficiency, and can effectively resist brute force attacks, statistical attacks, chosen-plaintext attacks, and differential attacks.
Highlights
With the rapid development of the Internet and the rapid expansion of information, a large amount of information is transmitted through public channels
This paper proposes an image encryption algorithm based on a new chaotic system and dynamic DNA coding
In order to overcome some shortcomings of the chaos-based image encryption algorithm, in this work, we put forward an image encryption algorithm based on a new conservative hyperchaotic system and dynamic DNA coding
Summary
With the rapid development of the Internet and the rapid expansion of information, a large amount of information is transmitted through public channels. This paper proposes an image encryption algorithm based on a new chaotic system and dynamic DNA (deoxyribonucleic acid) coding. Some cryptanalysis [40,41,42] studies show that some image encryption algorithms based on chaos have security defects, which can be summarized as follows: the secret keyspace is insufficient and can not resist exhaustive attacks. In order to overcome some shortcomings of the chaos-based image encryption algorithm, in this work, we put forward an image encryption algorithm based on a new conservative hyperchaotic system and dynamic DNA coding. The rest of this paper is organized as follows: Section 2 introduces the new conservative chaotic system, image DNA coding, and operating rules.
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