Abstract
A novel chaotic image encryption scheme based on the time-delay Lorenz system is presented in this paper with the description of Circulant matrix. Making use of the chaotic sequence generated by the time-delay Lorenz system, the pixel permutation is carried out in diagonal and antidiagonal directions according to the first and second components. Then, a pseudorandom chaotic sequence is generated again from time-delay Lorenz system using all components. Modular operation is further employed for diffusion by blocks, in which the control parameter is generated depending on the plain-image. Numerical experiments show that the proposed scheme possesses the properties of a large key space to resist brute-force attack, sensitive dependence on secret keys, uniform distribution of gray values in the cipher-image, and zero correlation between two adjacent cipher-image pixels. Therefore, it can be adopted as an effective and fast image encryption algorithm.
Highlights
With the rapid development of the computer network, it becomes more and more convenient to communicate in digital form
A novel image encryption method based on chaotic maps and Circulant operation has been proposed
Position scrambling is employed to remove the high correlation between adjacent pixels in the plain-image
Summary
With the rapid development of the computer network, it becomes more and more convenient to communicate in digital form. Aiming at the security and protection of digital images, many image encryption algorithms or technologies such as DNA sequence [1], chaotic map [2], circular bit shift and XOR operations [3], quantum logistic map [4], and Hartley transform [5] have been developed. Among these encryption algorithms, the chaos-based approach has become a hot research topic because of many unique characteristics of the chaotic system itself such as sensitive dependence on initial conditions and system parameters, nonperiodicity, pseudorandom property, and topological transitivity.
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