Abstract

A hybrid domain image encryption algorithm is developed by integrating with improved Henon map, integer wavelet transform (IWT), bit-plane decomposition, and deoxyribonucleic acid (DNA) sequence operations. First, we improve the classical two-dimensional Henon map. The improved Henon map is called 2D-ICHM, and its chaotic performance is analyzed. Compared with some existing chaotic maps, 2D-ICHM has larger parameter space, continuous chaotic range, and more complex dynamic behavior. Second, an image encryption structure based on diffusion–scrambling–diffusion and spatial domain–frequency domain–spatial domain is proposed, which we call the double sandwich structure. In the encryption process, the diffusion and scrambling operations are performed in the spatial and frequency domains, respectively. In addition, initial values and system parameters of the 2D-ICHM are obtained by the secure hash algorithm-512 (SHA-512) hash value of the plain image and the given parameters. Consequently, the proposed algorithm is highly sensitive to plain images. Finally, simulation experiments and security analysis show that the proposed algorithm has a high level of security and strong robustness to various cryptanalytic attacks.

Highlights

  • SantamariaWith the development of the information revolution, network technology has been rapidly popularized

  • While the digital image has the characteristics of large amount of data, high redundancy, and strong correlation between pixels [6], the encryption algorithms designed for text information, such as the Data Encryption Standard (DES) and Advanced Encryption Standard (AES), are unsuitable for image encryption scenarios [1,7]

  • We develop a hybrid domain image encryption algorithm based on improved Henon map

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Summary

Introduction

With the development of the information revolution, network technology has been rapidly popularized. With the in-depth study of chaos theory, the unique properties of chaotic maps have been explored, such as pseudorandomness, ergodicity, nonperiodicity, and high sensitivity to initial values These properties make the chaos-based image encryption algorithms can exhibit a good ability to protect image data. Based on the above analysis and to move beyond, we proposed a hybrid domain image encryption algorithm based on improved Henon map. Ically, the diffusion and scrambling operations are performed in the spatial and frequency domains, respectively, which provides a high level of security. The system parameters and initial values of chaotic mapping are obtained by the secure hash algorithm-512 (SHA-512) hash value of the plain image and the given parameters.

Chaotic System
Definition of 2D-ICHM
Chaotic Performance of 2D-ICHM
Bit-Plane Decomposition
Integer Wavelet Transform
DNA Sequence Operations
Generating Chaotic Sequences
Encryption Process
Simulation Results
Security Analysis
Key Space Analysis
Key Sensitivity Analysis
Histogram Analysis
Correlation Analysis of Adjacent Pixels
Information Entropy
Differential Attack Analysis
Cropping Attack and Noise Attack Analysis
Conclusions
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