A Color Image Encryption Algorithm Based on  a Fractional-Order Hyperchaotic System

Huang, Xia; Sun, Tao; Li, Yuxia; Liang, Jinling

doi:10.3390/e17010028

Cited by 45 publications

(27 citation statements)

References 24 publications

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“…Recently, many encryption schemes based on chaos have been proposed , including schemes for grey-level images [3][4][5][6][7]27] and the schemes for colour images [8][9][10][11][12][13][14]20,26,[34][35][36]. Inevitably, most of them have proven to be insecure because the trajectories in low dimension chaotic systems are periodic for finite precisions in digital computers [15,17,18,21,28,33].…”

Section: Introductionmentioning

confidence: 99%

A Colour Image Encryption Scheme Using Permutation-Substitution Based on Chaos

Wang

Zhang

Bao

2015

Entropy

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An encryption scheme for colour images using a spatiotemporal chaotic system is proposed. Initially, we use the R, G and B components of a colour plain-image to form a matrix. Then the matrix is permutated by using zigzag path scrambling. The resultant matrix is then passed through a substitution process. Finally, the ciphered colour image is obtained from the confused matrix. Theoretical analysis and experimental results indicate that the proposed scheme is both secure and practical, which make it suitable for encrypting colour images of any size.

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Section: Introductionmentioning

confidence: 99%

A Colour Image Encryption Scheme Using Permutation-Substitution Based on Chaos

Wang

Zhang

Bao

2015

Entropy

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“…The 3D fractional-order Lorenz system and Chen chaotic systems were employed to encrypt images by Wu et al and Zhao et al, respectively [3,26]. Huang et al used a four-dimensional (4D) fractional-order hyperchaotic neural network system to cipher color images, and the experiments demonstrated the effectiveness of the system [27].…”

Section: Introductionmentioning

confidence: 99%

A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing

Yang

et al. 2017

Complexity

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In the era of the Internet, image encryption plays an important role in information security. Chaotic systems and DNA operations have been proven to be powerful for image encryption. To further enhance the security of image, in this paper, we propose a novel algorithm that combines the fractional-order hyperchaotic Lorenz system and DNA computing (FOHCLDNA) for image encryption. Specifically, the algorithm consists of four parts: firstly, we use a fractional-order hyperchaotic Lorenz system to generate a pseudorandom sequence that will be utilized during the whole encryption process; secondly, a simple but effective diffusion scheme is performed to spread the little change in one pixel to all the other pixels; thirdly, the plain image is encoded by DNA rules and corresponding DNA operations are performed; finally, global permutation and 2D and 3D permutation are performed on pixels, bits, and acid bases. The extensive experimental results on eight publicly available testing images demonstrate that the encryption algorithm can achieve state-of-the-art performance in terms of security and robustness when compared with some existing methods, showing that the FOHCLDNA is promising for image encryption.

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“…In Reference [32], a new 3D system was used for signal encryption. A fractional-order hperchaotic system was applied to a color image encryption in Reference [33]. Reference [34] applied a four-dimensional hyperchaotic system to image encryption.…”

Section: Introductionmentioning

confidence: 99%

Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit

Song

Yuan

2019

Entropy

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In this paper, a new voltage-controlled memristor is presented. The mathematical expression of this memristor has an absolute value term, so it is called an absolute voltage-controlled memristor. The proposed memristor is locally active, which is proved by its DC V–I (Voltage–Current) plot. A simple three-order Wien-bridge chaotic circuit without inductor is constructed on the basis of the presented memristor. The dynamical behaviors of the simple chaotic system are analyzed in this paper. The main properties of this system are coexisting attractors and multistability. Furthermore, an analog circuit of this chaotic system is realized by the Multisim software. The multistability of the proposed system can enlarge the key space in encryption, which makes the encryption effect better. Therefore, the proposed chaotic system can be used as a pseudo-random sequence generator to provide key sequences for digital encryption systems. Thus, the chaotic system is discretized and implemented by Digital Signal Processing (DSP) technology. The National Institute of Standards and Technology (NIST) test and Approximate Entropy analysis of the proposed chaotic system are conducted in this paper.

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A Color Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System

Cited by 45 publications

References 24 publications

A Colour Image Encryption Scheme Using Permutation-Substitution Based on Chaos

A Colour Image Encryption Scheme Using Permutation-Substitution Based on Chaos

A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing

Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit

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