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.
Highlights
With the development of rapid application of computer and internet technology, considerable attention has been paid to the secure transmission of multimedia video information such as texts, images and videos [1]
We can see through the histogram and R, G, B image encryption results in Figure 6 that the algorithm can encrypt the size of M × N gray-scale image effectively
One of the important indicators to measure the performance of image encryption algorithms is encryption efficiency, which has many indicators to measure, such as encryption/decryption time, the encryption throughput (ET) and the number of cycles [33], and they are defined as: ET =
Summary
With the development of rapid application of computer and internet technology, considerable attention has been paid to the secure transmission of multimedia video information such as texts, images and videos [1] It is becoming more and more important to study an image encryption algorithm with good performance [2,3,4,5]. How to design a chaos map with a large Lyapunov exponent, a wide range of chaotic parameters, and the design of efficient and secure image encryption algorithms are currently the focus of research. We proposed a novel one-dimensional delay and linearly coupled Logistic chaotic map It has a relatively simple structure and large enough key space.
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