scholarly journals The novel image encryption scheme based on three- dimentional coupled chaotic system

2021 ◽  
Vol 2079 (1) ◽  
pp. 012027
Author(s):  
Xudong Ren ◽  
Wanbo Yu
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Three Dimensional ◽  
Image Correlation ◽  
The Novel ◽  
Chaotic Mapping ◽  
System A ◽  
Key Space ◽  
Arnold Scrambling

Abstract In order to improve the complexity of chaotic mapping and the security of image encryption algorithms, this paper proposes a new coupled three-dimensional chaotic system based on sine mapping and lorenz mapping. Based on this chaotic system, a new color image encryption algorithm is proposed, which performs index position scrambling and Arnold scrambling on the bit plane of the plaintext image, and then performs an XOR diffusion operation on the scrambled ciphertext to obtain the final ciphertext image. Simulation experiments show that the algorithm has a large key space, a small image correlation coefficient, an information entropy value of 7.9921, and a good encryption effect.

A New Algorithm Based on Magic Square and a Novel Chaotic System for Image Encryption

2019 ◽  
Vol 29 (1) ◽  
pp. 1202-1215 ◽  
Author(s):  
Rageed Hussein AL-Hashemy ◽  
Sadiq A. Mehdi
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Security Analysis ◽  
Correlation Coefficients ◽  
Magic Squares ◽  
Magic Square ◽  
Key Space ◽  
Encryption Method ◽  
Differential Attacks

Abstract This article introduces a simple and effective new algorithm for image encryption using a chaotic system which is based on the magic squares. This novel 3D chaotic system is invoked to generate a random key to encrypt any color image. A number of chaotic keys equal to the size of the image are generated by this chaotic system and arranged into a matrix then divided into non-overlapped submatrices. The image to be encrypted is also divided into sub-images, and each sub-image is multiplied by a magic matrix to produce another set of matrices. The XOR operation is then used on the resultant two sets of matrices to produce the encrypted image. The strength of the encryption method is tested in two folds. The first fold is the security analysis which includes key space analysis and sensitivity analysis. In the second fold, statistical analysis was performed, which includes the correlation coefficients, information entropy, the histogram, and analysis of differential attacks. Finally, the time of encryption and decryption was computed and show very good results.

A novel 4D chaotic system with nonhyperbolic hyperbolic shape equilibrium points: Analysis, circuit implementation and color image encryption

2019 ◽  
Vol 33 (31) ◽  
pp. 1950383 ◽  
Author(s):  
Xinshan Cai ◽  
Chongxin Liu ◽  
Yaoyu Wang ◽  
Hao Zhang
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Circuit Simulation ◽  
Equilibrium Points ◽  
Security Analysis ◽  
Largest Lyapunov Exponent ◽  
Color Image Encryption ◽  
Power Simulation ◽  
System A

This paper presents a new 4D chaotic system by extending a 3D system to investigate chaotic systems2 with hidden attractors further and explore their engineering applications in color image encryption. The system has hyperbolic shape equilibriums and the equilibriums are nonhyperbolic which is interesting and rarely mentioned before. The system has been investigated deeply by phase plot, time series, the largest Lyapunov exponent, bifurcation diagram, Poincaré map and 0–1 test. A coexisting hidden attractor has been found in this new system and the circuit simulation model of the system is built by Power Simulation (PSIM). Circuit simulation results are consistent with results of numerical simulations which verify its dynamic behavior further. Then, by combining the generalized Arnold transform with the new chaotic system, a new color image encryption algorithm has been proposed which has large key space and can encrypt either square images or nonsquare images with different size. Finally, the results of encryption experiment and security analysis prove the effectiveness of the algorithm.

An Image Encryption Algorithm Based on a New Memristor Chaotic System and DNA Variation

2021 ◽  
Author(s):  
Li Xiong ◽  
Peng Li ◽  
Yingqian Zhang ◽  
Feifei Yang ◽  
Chenguang Ma
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Chaotic Attractor ◽  
Three Dimensional ◽  
Encryption Algorithm ◽  
Dna Variation ◽  
System A ◽  
Encrypt Image ◽  
C0 Complexity ◽  
Image Encryption Algorithm

Abstract In this paper, a new memristor chaotic system is designed based on Chua’s memristor chaotic system. To get the complete picture of the brain of a three-dimensional chaotic attractor, red and blue 3D glasses is used to observe the chaotic attractor, and using Lyapunov exponent spectrum, SE complexity and C0 complexity to analyze dynamical characteristics of new memristor chaotic system. The results illustrate that the chaotic state of the new memristor chaotic system is distributed over a large parameter range, which shows that the new memristor chaotic system is more suitable for image encryption applications. To verify the image encryption application of the new memristor chaotic system, a novel image encryption algorithm is designed based on the new memristor chaotic system and DNA variation. The security performances of the designed algorithm indicate that the proposed algorithm can effectively encrypt image and has better security performance.

scholarly journals An Amplitude-controllable 3-D Hyperchaotic Map with Homogenous Multistability

2021 ◽  
Author(s):  
Xuejiao Zhou ◽  
Chunbiao Li ◽  
Yongxin Li ◽  
Xu Lu ◽  
Tengfei Lei
Keyword(s):  
Initial Data ◽  
Lyapunov Exponents ◽  
Image Encryption ◽  
Information Entropy ◽  
Color Image ◽  
Three Dimensional ◽  
Color Image Encryption ◽  
Unique Structure ◽  
Key Space ◽  
Sinusoidal Function

Abstract By introducing a sinusoidal function into a three-dimensional map, a hyperchaotic map with three positive Lyapunov exponents is derived. The system has two amplitude controllers, a total controller, and a partial controller. The hyperchaotic map shares a unique structure of two-leaf and three-leaf attractors under united Lyapunov exponents. Furthermore, homogenous multistability is found in the 3-D map, where the initial data determine the attractor structure combined with the distance between any two leaves. Experimental hardware based on STM32 is built to prove the numerical findings. The hyperchaotic map is introduced for color image encryption. The analysis of key space, histogram, information entropy, correlation, and anti-noise infection shows its powerful performance in encryption and security.

A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System

2021 ◽  
Vol 31 (09) ◽  
pp. 2150125
Author(s):  
Shanshan Cheng ◽  
Jingru Sun ◽  
Cong Xu
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Initial Conditions ◽  
Encryption Scheme ◽  
Color Image Encryption ◽  
Chaotic Sequences ◽  
Key Space ◽  
Plain Image ◽  
Sensitivity To Initial Conditions

As image is an important way of information representation, researchers pay more and more attention on image encryption. In order to improve the performance of image encryption, a novel image encryption scheme based on a hybrid cascaded chaotic system and sectoral segmentation is proposed in this paper. Hybrid cascaded chaotic system has a larger key space, higher complexity, more sensitivity to initial conditions. Four chaotic sequences relevant to a plain image are generated by this system, which strengthen plaintext correlation and the randomness. During the scrambling process, sectoral segmentation focuses on how to extract a sequence from the disk storing data, which can not only reduce the correlation between the three components of the image, but also hide image information to a large extent. Further, a DNA algorithm is used in the diffusion process. Simulation shows that the proposed scheme can effectively resist various attacks and improve the encryption performance.

JPEG Image Encryption Algorithm Based on Three-Dimensional Multi-Chaotic System

2015 ◽  
Vol 734 ◽  
pp. 554-557 ◽  
Author(s):  
Ke Feng Wang ◽  
Su Zhuang ◽  
Xiao Rong Zhao
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Encryption Algorithm ◽  
Jpeg Image ◽  
Key Space ◽  
Image Pixels ◽  
Correlation Properties ◽  
Image Encryption Algorithm

The paper decribes the JPEG image encryption algorithm based on three-dimensional multi-chaotic system. The algorithm is designed to segment the image into three-demensional matrix system with a variety of chaoic encryption system. The images are scrambled and transformed in the three-dimensional space, and then by the three-dimensional chaotic sequence from multi-chaotic system, they are respectively transformed as airspace tricolor per-pixel alternative images. Reaearch results show that the algorithm has good confusion and diffusion properties of pixels and a powerful key space of greater resistance. The encrypted image pixels are distrubuted randomly and evenly with adjacent pixels of zero correlation properties, which proves the proposed scheme has a high security.

Image encryption based on Fractional wavelet transform, Arnold transform with the double random phases in HSV color domain

2020 ◽  
Vol 13 ◽  
Author(s):  
Aarushi Shrivastava ◽  
Janki Ballabh Sharma ◽  
Sunil Dutt Purohit
Keyword(s):  
Wavelet Transform ◽  
Image Encryption ◽  
Fractional Fourier Transform ◽  
Color Image ◽  
Random Phase ◽  
Arnold Transform ◽  
Time Frequency ◽  
Key Space ◽  
Secret Keys ◽  
Fractional Wavelet Transform

Objective: In the recent multimedia technology images play an integral role in communication. Here in this paper, we propose a new color image encryption method using FWT (Fractional Wavelet transform), double random phases and Arnold transform in HSV color domain. Methods: Firstly the image is changed into the HSV domain and the encoding is done using the FWT which is the combination of the fractional Fourier transform with wavelet transform and the two random phase masks are used in the double random phase encoding. In this one inverse DWT is taken at the end in order to obtain the encrypted image. To scramble the matrices the Arnold transform is used with different iterative values. The fractional order of FRFT, the wavelet family and the iterative numbers of Arnold transform are used as various secret keys in order to enhance the level of security of the proposed method. Results: The performance of the scheme is analyzed through its PSNR and SSIM values, key space, entropy, statistical analysis which demonstrates its effectiveness and feasibility of the proposed technique. Stimulation result verifies its robustness in comparison to nearby schemes. Conclusion: This method develops the better security, enlarged and sensitive key space with improved PSNR and SSIM. FWT reflecting time frequency information adds on to its flexibility with additional variables and making it more suitable for secure transmission.

scholarly journals Complex dynamical behaviors of a novel exponential hyper–chaotic system and its application in fast synchronization and color image encryption

2021 ◽  
Vol 104 (1) ◽  
pp. 003685042110033
Author(s):  
Javad Mostafaee ◽  
Saleh Mobayen ◽  
Behrouz Vaseghi ◽  
Mohammad Vahedi ◽  
Afef Fekih
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Sliding Mode ◽  
Color Image ◽  
Equilibrium Points ◽  
Lyapunov Stability Theory ◽  
System Stability ◽  
Color Image Encryption ◽  
Terminal Sliding Mode ◽  
Finite Time Stability

This paper proposes a novel exponential hyper–chaotic system with complex dynamic behaviors. It also analyzes the chaotic attractor, bifurcation diagram, equilibrium points, Poincare map, Kaplan–Yorke dimension, and Lyapunov exponent behaviors. A fast terminal sliding mode control scheme is then designed to ensure the fast synchronization and stability of the new exponential hyper–chaotic system. Stability analysis was performed using the Lyapunov stability theory. One of the main features of the proposed controller is the finite time stability of the terminal sliding surface designed with high–order power function of error and derivative of error. The approach was implemented for image cryptosystem. Color image encryption was carried out to confirm the performance of the new hyper–chaotic system. For image encryption, the DNA encryption-based RGB algorithm was used. Performance assessment of the proposed approach confirmed the ability of the proposed hyper–chaotic system to increase the security of image encryption.

Color image encryption based on hybrid hyper-chaotic system and cellular automata

2017 ◽  
Vol 90 ◽  
pp. 225-237 ◽  
Author(s):  
Abolfazl Yaghouti Niyat ◽  
Mohammad Hossein Moattar ◽  
Masood Niazi Torshiz
Keyword(s):  
Cellular Automata ◽  
Image Encryption ◽  
Chaotic System ◽  
Color Image ◽  
Color Image Encryption

scholarly journals Multiple-Image Encryption Algorithm Based on the 3D Permutation Model and Chaotic System

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 660 ◽  
Author(s):  
Xiaoqiang Zhang ◽  
Xuesong Wang
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Three Dimensional ◽  
Multiple Image ◽  
External Mode ◽  
Large Numbers ◽  
Permutation Model ◽  
Magic Cube ◽  
Exclusive Or ◽  
Image Encryption Algorithm

Large numbers of images are produced in many fields every day. The content security of digital images becomes an important issue for scientists and engineers. Inspired by the magic cube game, a three-dimensional (3D) permutation model is established to permute images, which includes three permutation modes, i.e., internal-row mode, internal-column mode, and external mode. To protect the image content on the Internet, a novel multiple-image encryption symmetric algorithm (block cipher) with the 3D permutation model and the chaotic system is proposed. First, the chaotic sequences and chaotic images are generated by chaotic systems. Second, the sender permutes the plain images by the 3D permutation model. Lastly, the sender performs the exclusive OR operation on permuted images. The simulation and algorithm comparisons display that the proposed algorithm possesses desirable encryption images, high security, and efficiency.

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