¹Department of Statistics, University of Guilan, Rasht, Iran.
²Department of Mathematics, University of Guilan, Rasht, Iran.
³ICREA, Barcelona Supercomputing Centre, Spain, Tecnologico de Monterrey, Mexico.

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Abstract—Chaos theory is a field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions. Many algorithms have been proposed for image encryption, but the chaotic encryption methods have a good combination of speed and high security. The key space for a good encryption scheme should be big enough to resist brute-force attacks. In this paper, first we investigate Clifford chaotic system for image encryption. In order to optimize the encryption system we increase the space key by using logistic map. The security and performance of the proposed method are analyzed by using the key space, entropy, statistical, differential and performance analysis. It can be concluded that the proposed image encryption system is suitable choice for practical applications.

Index Terms—Image encryption, chaos, clifford chaotic system, logistic map.

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Cite: Behrouz Fathi-Vajargah, Mohadeseh Kanafchian, Vassil Alexandrov, "Image Encryption Based on Permutation and Substitution Using Clifford Chaotic System and Logistic Map," Journal of Computers vol. 13, no. 3, pp. 309-326, 2018.