Abstract
Chaos is considered as a natural candidate for encryption systems owing to its sensitivity to initial values and unpredictability of its orbit. However, some encryption schemes based on low-dimensional chaotic systems exhibit various security defects due to their relatively simple dynamic characteristics. In order to enhance the dynamic behaviors of chaotic maps, a novel 3D infinite collapse map (3D-ICM) is proposed, and the performance of the chaotic system is analyzed from three aspects: a phase diagram, the Lyapunov exponent, and Sample Entropy. The results show that the chaotic system has complex chaotic behavior and high complexity. Furthermore, an image encryption scheme based on 3D-ICM is presented, whose security analysis indicates that the proposed image encryption scheme can resist violent attacks, correlation analysis, and differential attacks, so it has a higher security level.
Highlights
The 21st century is a new era of leapfrog development of information technology.Information technology, led by big data, artificial intelligence (AI), and computer network technology, has become a key factor in the development of a country’s political, military, economic, cultural, and educational undertaking
In an encryption scheme based on chaos, the security level mainly relies on the complexity of chaotic maps
(2) We propose an image encryption scheme based on the 3D infinite collapse map (3D-infinite collapse map (ICM))
Summary
The 21st century is a new era of leapfrog development of information technology. Information technology, led by big data, artificial intelligence (AI), and computer network technology, has become a key factor in the development of a country’s political, military, economic, cultural, and educational undertaking. In an encryption scheme based on chaos, the security level mainly relies on the complexity of chaotic maps. In order to enhance the dynamic characteristics and complexity of the chaotic system, several HD chaotic maps with hyperchaotic properties were proposed [25,26]. (2) We propose an image encryption scheme based on the 3D-ICM. The results of the evaluation criteria show that 3D-ICM shares more complex chaotic dynamical behaviors than existing 3D chaotic maps. Both confusion and diffusion operations are based on sequences produced by the 3D-ICM.
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