Abstract
Hyperchaotic systems are widely applied in the cryptography domain on account of their more complex dynamical behavior. In view of this, the greatest contribution of this paper is that a two-dimensional Sine coupling Logistic modulated Sine (2D-SCLMS) system is proposed based on Logistic map and Sine map. By a series of analyses, including Lyapunov index (LE), 0–1 test, two complexity analysis methods, and two entropy analysis methods, it is concluded that the new 2D-SCLMS map is hyperchaotic with a wider range of chaos and more complex randomness. The new system combined with two-dimensional Logistic-Sine Coupling Mapping (2D-LSCM) is further applied to an image encryption application. SHA-384 is used to generate the initial values and parameters of the two chaotic systems. Symmetric keys are generated during this operation, which can be applied to the proposed image encryption and decryption algorithms. The encryption process and the decryption process of the new image encryption approaches mainly include pixel scrambling, exclusive NOR (Xnor), and diffusion operations. Multiple experiments illustrate that this scheme has higher security and lower time complexity.
Highlights
Cryptography is a traditional and effective way to protect information security for a long time
According to whether the same key is used in the encryption and decryption processes, encryption can be divided into symmetric encryption and asymmetric encryption
We propose to scramble the image by combining the indices of two chaotic sequences generated by the 2D-SCLMS system
Summary
Cryptography is a traditional and effective way to protect information security for a long time. Scholars have proposed multifarious image encryption schemes, such as a series of popularly known confusion and diffusion-based methods [1,2]. To strengthen the safety of the chaotic systems and the formation of confusionand diffusion-based image encryption, we put forward a new Sine-coupling-Logisticmodulated-Sine system based on two one-dimensional maps, which expands the results from one-dimensional to two-dimensional. A new symmetric encryption scheme using two new chaotic systems, which includes 2D-SCLMS map and 2D-LSCM [34], is further introduced. (2) Various methods, such as chaotic trajectory, Lyapunov exponent, 0–1 test, complexity analysis methods, and two different entropy analysis methods, are used to evaluate the chaotic properties of the new two-dimensional hyperchaotic map. (3) According to the two chaotic maps, a new symmetric encryption scheme for improving image security is proposed.
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