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Entropy 2018, 20(6), 463; https://doi.org/10.3390/e20060463

A Novel Delay Linear Coupling Logistics Map Model for Color Image Encryption

School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
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Received: 5 May 2018 / Revised: 31 May 2018 / Accepted: 8 June 2018 / Published: 14 June 2018
(This article belongs to the Special Issue Research Frontier in Chaos Theory and Complex Networks)
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Abstract

With the popularity of the Internet, the transmission of images has become more frequent. It is of great significance to study efficient and secure image encryption algorithms. Based on traditional Logistic maps and consideration of delay, we propose a new one-dimensional (1D) delay and linearly coupled Logistic chaotic map (DLCL) in this paper. Time delay is a common phenomenon in various complex systems in nature, and it will greatly change the dynamic characteristics of the system. The map is analyzed in terms of trajectory, Lyapunov exponent (LE) and Permutation entropy (PE). The results show that this map has wide chaotic range, better ergodicity and larger maximum LE in comparison with some existing chaotic maps. A new method of color image encryption is put forward based on DLCL. In proposed encryption algorithm, after various analysis, it has good encryption performance, and the key used for scrambling is related to the original image. It is illustrated by simulation results that the ciphered images have good pseudo randomness through our method. The proposed encryption algorithm has large key space and can effectively resist differential attack and chosen plaintext attack. View Full-Text
Keywords: chaos; image encryption; delay and linearly coupled Logistic chaotic map chaos; image encryption; delay and linearly coupled Logistic chaotic map
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Li, S.; Ding, W.; Yin, B.; Zhang, T.; Ma, Y. A Novel Delay Linear Coupling Logistics Map Model for Color Image Encryption. Entropy 2018, 20, 463.

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