An Image Encryption Algorithm Based on Random Walk and Hyperchaotic Systems

Xu, Cong; Sun, Jingru; Wang, Chunhua

doi:10.1142/s0218127420500601

Cited by 69 publications

(37 citation statements)

References 49 publications

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“…The study of chaos-based image encryption has been a recent focus [35][36][37]. Generally, systems with multiple wings or multistability have become potential candidates for chaos applications compared to chaotic systems with fewer wings or stability due to their complex dynamical properties.…”

Section: Application In Image Encryptionmentioning

confidence: 99%

“…To demonstrate the efficiency of the presented image encryption scheme, numerical simulation experiments were performed by Matlab R2017a. And some classic metrics like histogram, correlation coefficient, information entropy, and key sensitivity were measured [5,13,[35][36][37]. In all experiments, the "Lena 256×256" image is employed as the test image, as shown in Fig.…”

Section: B Experiments and Performance Analysesmentioning

confidence: 99%

See 1 more Smart Citation

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Lin

Wang

et al. 2021

IEEE Trans. Ind. Electron.

Self Cite

101

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Polynomial functions have been the main barrier restricting the circuit realization and engineering application of multi-wing chaotic systems (MWCSs). To eliminate this bottleneck, we construct a simple MWCS without polynomial functions by introducing a sinusoidal function in a Sprott C system. Theoretical analysis and numerical simulations show that the MWCS can not only generate multi-butterfly attractors with an arbitrary number of butterflies, but also adjust the number of the butterflies by multiple ways including self-oscillating time, control parameters, and initial states. To further explore the advantage of the proposed MWCS, we realize its analog circuit using commercially available electronic elements. The results demonstrate that in comparison to traditional MWCSs, our circuit implementation greatly reduces the consumption of electronic components. This makes the MWCS more suitable for many chaos-based engineering applications. Furthermore, we propose an application of the MWCS to chaotic image encryption. Histogram, correlation, information entropy, and key sensitivity show that the simple image encryption scheme has high security and reliable encryption performance. Finally, we develop a field-programmable gate array (FPGA) test platform to implement the MWCS-based image cryptosystem. Both theoretical analysis and experimental results verify the feasibility and availability of the proposed MWCS.

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Section: Application In Image Encryptionmentioning

confidence: 99%

Section: B Experiments and Performance Analysesmentioning

confidence: 99%

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Lin

Wang

et al. 2021

IEEE Trans. Ind. Electron.

Self Cite

101

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show abstract

“…Input: P 1 , P 2 , C Output: Recover the plaintext image P from the given ciphertext image C (1) C 1 � Encryption(P 1 ) (2) According to equation (11), ED � C 1 (3) C 2 � Encryption(P 2 ) (4) According to equation (11) and ED, S 2 ′ � bitxor(C 2 , ED) (5) S 2 ← S 2 ′ (6) for i � 1 to M do (7) for j � 1 to N do (8) for k � 1 to 1 do (9) [m 1 , n 1 ] � find(S 2 (: , : , 1) �� 1) (10) [m 2 , n 2 ] � find(S 2 (: , : , 1) �� 2) (11) end for (12) end for (13)…”

Section: Complexitymentioning

confidence: 99%

“…With the rapid development of network technology, the security and privacy protection problems of multimedia information have become a hot subject. In order to promote the security of information transmission, scholars have proposed a large amount of image encryption algorithms based on different mechanisms and theories, such as chaotic map [1][2][3][4][5][6][7][8][9][10][11][12][13], neural network [14], DNA [15][16][17][18], and so on. e security performance of the image encryption algorithms mainly depends on statistical test indicators, such as key space, histogram, key sensitivity analysis, information entropy, differential attack, and so on.…”

Section: Introductionmentioning

confidence: 99%

On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm

Zhang

2020

Complexity

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In this paper, the security analysis of a color image encryption algorithm based on Hopfield chaotic neural network is given. The original chaotic image encryption algorithm includes permutation encryption and diffusion encryption. The result of cryptanalysis shows that the chaotic sequences generated by this algorithm are independent of plaintext image, and there exist equivalent permutation key and equivalent diffusion key. Therefore, according to chosen-plaintext attack, the equivalent diffusion key and the equivalent permutation key can be obtained by choosing two special plaintext images and the corresponding ciphertext images, respectively, and the plaintext image is further recovered from the ciphertext image. Theoretical analysis and numerical simulation experiment results verify the effectiveness of the analytical method. Finally, some improved suggestions for the original encryption algorithm are proposed to promote the security.

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“…Nonlinear characteristics exist in systems with various research directions, such as chaotic circuit [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], neural network [16][17][18][19][20][21], image encryption [22][23][24][25]. Natural ventilation also has nonlinear characteristics.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Solution Multiplicity of Buoyancy Ventilation in Two Vertically Connected Open Cavities with Unequal Heights

Wang

Wei

2020

Complexity

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Solution multiplicity of natural ventilation in buildings is of much importance for personnel safety and ventilation design. In this paper, a new mathematical model of buoyancy pressure ventilation for two vertically connected open cavities is presented. Compared with the previous published papers studying two vertically connected open cavities with equal heights and hot source E2 < 0 in the upper room, we study two vertically connected open cavities with unequal heights and hot source E2 < 0 or E2 > 0 in the upper room. By solving and analyzing the equilibrium points and characteristic roots of the differential equations, we analyze the stability of two systems with upward flow pattern and downward pattern and obtain the criteria to determine the stability and existence of solutions for two scenarios. According to these criteria, the multiple steady states of buoyancy ventilation in two vertically connected open cavities with unequal heights and variable strength of hot sources can be obtained. These criteria can be used to design buoyancy ventilation or natural exhaust ventilation systems in two vertically connected open cavities. Compared with two stable states of buoyancy ventilation existing in two vertically connected open cavities with equal heights in the previously published papers, we find that more stable states and unstable states of buoyancy ventilation exist in two vertically connected open cavities with unequal heights in our paper. Finally, bifurcation diagrams and the phase portraits for the two scenarios are given.

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An Image Encryption Algorithm Based on Random Walk and Hyperchaotic Systems

Cited by 69 publications

References 49 publications

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm

Nonlinear Dynamic Analysis of Solution Multiplicity of Buoyancy Ventilation in Two Vertically Connected Open Cavities with Unequal Heights

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