Abstract
Chaos systems have been widely used in image encryption algorithms. In this article, we introduce an LB (Logistic-Baker) compound chaotic map that can greatly improve the complexity of original Logistic map and Baker map, as well as the generated sequences have pseudo-randomness. Furthermore, based on the LB compound chaotic map, an image encryption algorithm is proposed. To resist the differential attack, and enhance the sensitivity of plain-text, the parameters of this algorithm are plain-text related. In this algorithm, the compound chaotic function is influenced by the plain-text image; thus, the specific form of this chaotic map, and its dynamics will be different when encrypting different images. Numerical experiment results indicate that the effect of this novel plain-text related image encryption scheme is excellent, as well as can be competitive with other corresponding algorithms.
Highlights
Based on the ideal properties of the LB compound chaotic map Equation (7), we propose an image encryption algorithm based on this map
Chaotic systems have been widely used in image encryption for its complex dynamics
The compound chaotic function is influenced by the plain-text image, which becomes different when encrypting different images
Summary
The security of digital image has achieved wide attention from both scholars and industries [1,2,3,4]. Different from the low-dimensional chaotic system, the high-dimensional chaotic system has more parameters and initial values [21], which means that the high-dimensional chaotic system needs more calculations when calculating the sequence of the same dimension [22] In other words, these systems always require high cost to implement, which is not suitable for practical uses. The results of NIST statistical test evaluate the randomness of the generated sequences by this compound chaotic map After constructing this compound chaotic map, we propose a novel image encryption algorithm based on this map. In this paper, a novel plain-text related image encryption algorithm is proposed In this encryption scheme, the value of parameters of this chaotic map are related to the plain-text image. The computational complexity analysis is used to measure the speed of encryption algorithm
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