Abstract

This paper describes a new efficient cryptosystem for the color image encryption technique, based on a combination of multidimensional proposed chaos systems. This chaos system consists of six bisections: T_1 (x),T_2 (x),T_2 (y),T_3 (x),T_3 (y), andT_3 (z). They induce three chaotic matrix keys and three chaotic vector keys. We use a multidimensional chaotic system together with an encryption algorithm to provide better security and wide key spaces. The proposed cryptosystem uses four levels of random pixel diffusions and permutations simultaneously and ω - times interchange between rows and columns. The correlations between the RGB components of the plain image are reduced. The level of security, the computational complexity, the quality of decoding a decrypted image under closure threat is improved. The simulation results showed that the algorithm shows a high level of security, and the assurance that the image recovered at the receiving point is identified as the image at the transmission point.

Highlights

  • The world is moving towards digitizing all types of data

  • The histograms of the “baboon”, “Lena” and their RGB components before encryption are shown in Fig. 9(a–c); the histograms illustrate how pixels in the plain images “baboon” or “Lena” are correlated to the pixels at each color density level

  • We proposed a large enough key space algorithm to resist brute-force attacks for image security

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Summary

INTRODUCTION

The world is moving towards digitizing all types of data. The digital use of data is hourly increasing. Since the areas of communication via the Internet are open and vulnerable to attacks on data, the use of encryption for such images has become very important and necessary. Many researchers are interested in presenting various algorithms to create a strong and robust encryption system for digital images, and some of them depend on the chaos system to induce random secret keys to maintain the confidentiality of images. This paper presents a cryptosystem based on the proposed multi-dimensional chaotic maps and multiplexing frequent levels of shuffling, scramble, and pixel diffusion for the digital image component RGB. While the matrix keys are used to change the values of pixels four times to increase the complexity and the security of the cryptosystem.

RELATED WORK
PROPOSED CHAOS SYSTEM
DIAGONALIZING OF THE PROPOSED CHAOTIC MAP
Chaotic Key Generation
The Computational Complicity
EXPERIMENTAL RESULTS AND HISTOGRAM ANALYSIS
The Key Size
The Sensitivity Analysis of the Secret Keys
Adjacent Pixels Correlation Analysis
Discovery of Differential Attack
CONCLUSION
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