scholarly journals A new secure image encryption algorithm based on a 5D hyperchaotic map

PLoS ONE ◽  
2020 ◽  
Vol 15 (11) ◽  
pp. e0242110
Author(s):  
Dejian Fang ◽  
Shuliang Sun
Keyword(s):  
Image Encryption ◽  
Secure Communication ◽  
Dimensional System ◽  
Hyperchaotic System ◽  
Key Space ◽  
Number Sequences ◽  
Low Dimensional ◽  
Encryption Method ◽  
Differential Attacks ◽  
Image Encryption Algorithm

Image encryption is an effective method for protecting private images during communication. In this paper, a novel image encryption method is proposed based on a 5D hyperchaotic system. Since a 5D hyperchaotic system can generate more complex dynamic behavior than a low-dimensional system, it is used in this paper to generate pseudorandom number sequences. The generated sequences are processed to obtain new sequences. The randomness of the new sequences is improved by recombination and rearrangement. The experimental results and theoretical analysis show that the method possesses a large key space and can resist differential attacks, statistical analysis, entropy analysis, clipping attacks and noise attacks. Therefore, it is very secure and can be used for secure communication.

scholarly journals Image Encryption Algorithm Based on the H-Fractal and Dynamic Self-Invertible Matrix

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Xuncai Zhang ◽  
Lingfei Wang ◽  
Ying Niu ◽  
Guangzhao Cui ◽  
Shengtao Geng
Keyword(s):  
Image Encryption ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Original Image ◽  
Invertible Matrix ◽  
Pseudorandom Sequences ◽  
Pixel Location ◽  
Encryption Method ◽  
Image Encryption Algorithm

In this paper, an image encryption algorithm based on the H-fractal and dynamic self-invertible matrix is proposed. The H-fractal diffusion encryption method is firstly used in this encryption algorithm. This method crosses the pixels at both ends of the H-fractal, and it can enrich the means of pixel diffusion. The encryption algorithm we propose uses the Lorenz hyperchaotic system to generate pseudorandom sequences for pixel location scrambling and self-invertible matrix construction to scramble and diffuse images. To link the cipher image with the original image, the initial values of the Lorenz hyperchaotic system are determined using the original image, and it can enhance the security of the encryption algorithm. The security analysis shows that this algorithm is easy to implement. It has a large key space and strong key sensitivity and can effectively resist plaintext attacks.

A Novel Color Image Encryption Algorithm Based on Hyperchaotic System and Permutation-Diffusion Architecture

2019 ◽  
Vol 29 (09) ◽  
pp. 1950115 ◽  
Author(s):  
Guangfeng Cheng ◽  
Chunhua Wang ◽  
Hua Chen
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Key Space ◽  
Encryption Algorithms ◽  
Block Permutation ◽  
Encrypted Images ◽  
Differential Attacks

In recent years, scholars studied and proposed some secure color image encryption algorithms. However, the majority of the published algorithms encrypted red, green and blue (called [Formula: see text], [Formula: see text], [Formula: see text] for short) components independently. In the paper, we propose a color image encryption scheme based on hyperchaotic system and permutation-diffusion architecture. The encryption algorithm utilizes a block permutation which is realized by mixing [Formula: see text], [Formula: see text], [Formula: see text] components to strengthen the dependence of each component. Besides, it can reduce time consumption. Then, the key streams generated by the hyperchaotic system are exploited to diffuse the pixels, the three components affect each other again. And in the diffusion process, we can get two totally different encrypted images even though we change the last pixel because the [Formula: see text] component is diffused in reverse order. The experimental results reveal that our algorithm possesses better abilities of resisting statistical attacks and differential attacks, larger key space, closer information entropy to 8, and faster encryption speed compared with other chaos-based color image encryption algorithms.

A Symmetric Image Encryption Scheme Base on Hyperchaotic System

2015 ◽  
Vol 719-720 ◽  
pp. 1030-1037
Author(s):  
Tao Song
Keyword(s):  
Image Encryption ◽  
Security Analysis ◽  
Image Transmission ◽  
Hyperchaotic System ◽  
Dynamical Behaviors ◽  
Key Space ◽  
Increasing Demand ◽  
Low Dimensional ◽  
System Variables ◽  
Hyperchaotic Systems

In recent years, chaos-based image encryption technologies have been widely studied to meet the increasing demand for real-time secure image transmission applications. To overcome the drawbacks of small key space and weak security in many existing schemes based on low-dimensional chaotic maps, this paper suggests a security improved scheme with a permutation-diffusion architecture. In the permutation stage, baker map is employed to shuffle the pixel positions. In the diffusion stage, the value of each pixel is altered by using a key stream derived from hyperchaotic system. Compared with ordinary chaotic systems, hyperchaotic systems, with more complex dynamical behaviors and number of system variables, offer greater potential for secure cryptosystem construction. Extensive security analysis has been performed on the proposed scheme, including the most important ones like key space analysis, statistical analysis and key sensitivity, which has demonstrated the satisfactory security of the proposed scheme.

scholarly journals A Novel Image-Encryption Scheme Based on a Non-Linear Cross-Coupled Hyperchaotic System with the Dynamic Correlation of Plaintext Pixels

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 779
Author(s):  
Wenjin Hou ◽  
Shouliang Li ◽  
Jiapeng He ◽  
Yide Ma
Keyword(s):  
Image Encryption ◽  
Logistic Map ◽  
Chaotic Sequence ◽  
Hyperchaotic System ◽  
Dynamic Correlation ◽  
Non Linear ◽  
Diffusion Phase ◽  
Image Pixels ◽  
Differential Attacks ◽  
Image Encryption Algorithm

Based on a logistic map and Feigenbaum map, we proposed a logistic Feigenbaum non-linear cross-coupled hyperchaotic map (LF-NCHM) model. Experimental verification showed that the system is a hyperchaotic system. Compared with the existing cross-coupled mapping, LF-NCHM demonstrated a wider hyperchaotic range, better ergodicity and richer dynamic behavior. A hyperchaotic sequence with the same number of image pixels was generated by LF-NCHM, and a novel image-encryption algorithm with permutation that is dynamically related to plaintext pixels was proposed. In the scrambling stage, the position of the first scrambled pixel was related to the sum of the plaintext pixel values, and the positions of the remaining scrambled pixels were related to the pixel values after the previous scrambling. The scrambling operation also had a certain diffusion effect. In the diffusion phase, using the same chaotic sequence as in the scrambling stage increased the usage rate of the hyperchaotic sequence and improved the calculation efficiency of the algorithm. A large number of experimental simulations and cryptanalyses were performed, and the results proved that the algorithm had outstanding security and extremely high encryption efficiency. In addition, LF-NCHM could effectively resist statistical analysis attacks, differential attacks and chosen-plaintext attacks.

Design of 9-D global chaotic system and its application in secure communication

Circuit World ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Meiting Liu ◽  
Wenxin Yu ◽  
Junnian Wang ◽  
Yu Chen ◽  
Yuyan Bian
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Dimensional System ◽  
Hyperchaotic System ◽  
Secret Key ◽  
Complex Dynamic ◽  
Content Type ◽  
Key Space ◽  
C0 Complexity ◽  
Lyapunov Exponent Spectrum

Purpose In this paper, a nine-dimensional chaotic system is designed and applied to secure communication. Design/methodology/approach Firstly, the equilibrium characteristics, dissipativity, bifurcation diagram and Lyapunov exponent spectrum are used to analyze the relevant characteristics of the proposed nine-dimensional chaotic system. In the analysis of Lyapunov exponential spectrum, when changing the linear parameters, the system shows two states, hyperchaos and chaos. For secure communication, there is a large secret key space. Secondly, C0 complexity and SEcomplexity of the system are analyzed, which shows that the system has sequences closer to random sequences. Findings The proposed nine-dimensional system has a large key space and more complex dynamic characteristics Originality/value The results show that the proposed nine-dimensional hyperchaotic system has excellent encryption capabilities and can play an important role in the field of secure communication.

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.

scholarly journals Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 258
Author(s):  
Heping Wen ◽  
Chongfu Zhang ◽  
Lan Huang ◽  
Juxin Ke ◽  
Dongqing Xiong
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Secure Communication ◽  
Color Image ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Experimental Simulation ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Image Encryption Algorithm

Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security analysis. This paper conducts a comprehensive security analysis of a color image encryption algorithm using a fractional-order hyperchaotic system (CIEA-FOHS). Experimental simulation based on excellent numerical statistical results supported that CIEA-FOHS is cryptographically secure. Yet, from the perspective of cryptanalysis, this paper found that CIEA-FOHS can be broken by a chosen-plaintext attack method owing to its some inherent security defects. Firstly, the diffusion part can be eliminated by choosing some special images with all the same pixel values. Secondly, the permutation-only part can be deciphered by some chosen plain images and the corresponding cipher images. Finally, using the equivalent diffusion and permutation keys obtained in the previous two steps, the original plain image can be recovered from a target cipher image. Theoretical analysis and experimental simulations show that the attack method is both effective and efficient. To enhance the security, some suggestions for improvement are given. The reported results would help the designers of chaotic cryptography pay more attention to the gap of complex chaotic system and secure cryptosystem.

Image Encryption Algorithm Based on a Hyperchaotic System and Fractional Fourier Transform

2019 ◽  
Vol 23 (5) ◽  
pp. 805-809
Author(s):  
Yang Liu ◽  
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Fractional Fourier Transform ◽  
Correlation Coefficients ◽  
Hyperchaotic System ◽  
Secret Key ◽  
Encrypted Image ◽  
Key Space ◽  
Highly Sensitive ◽  
Image Encryption Algorithm

An image encryption scheme that combines a hyperchaotic system with standard weighted fractional Fourier transform theory is proposed. Simulation results showed that grayscale distribution of the encrypted image was balanced, correlation coefficients of adjacent pixels were highly irrelevant, and the encrypted image was highly sensitive to the secret key, offering good robustness against attacks and a larger key space.

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