Image encryption scheme for secure digital images based on 3D cat map and Turing machine

Mohamed, Nehal A.; El-Azeim, Mostafa A.; Zaghloul, Alaa; El‐Latif, Ahmed A. Abd

doi:10.1109/socpar.2015.7492812

Cited by 16 publications

(7 citation statements)

References 9 publications

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“…eir intervals are [0, 1], and if their values are 1, then the information is 100% reserved in the both encryption and decryption process. is indicator measures the efficiency and accuracy of the decryption process [31][32][33].…”

Section: Quality Evaluation Metrics Of Decryped Imagementioning

confidence: 99%

Image Encryption Based on High-Dimensional Manifold Computing and Block Dividing Algorithm

Jia

2020

International Journal of Optics

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The image encryption schemes developing more sensitive and more chaotic maps are used as a key sequence generator, such as cascade chaotic maps and high-dimension maps. High-dimension chaotic maps can generate sequences with little correlation after hundred times of iteration. In fact, the sequence is just a flow of the manifold of the chaotic system. A fast way to select sensitive flows of the dynamic systems is introduced in the paper. Combining with the divided blocks diffusion algorithm, the novel scheme yields the cipher image more randomly. Experimental results show that the sensitive flows of the high-dimension system can generate a series with better ergodicity and less correlation compared with the common flows of the same system. The encryption efficiency is enhanced by choosing the sensitive flows of the high-dimension system. The analysis proved that the novel image encryption scheme can resist all common kinds of attacks.

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Section: Quality Evaluation Metrics Of Decryped Imagementioning

confidence: 99%

Image Encryption Based on High-Dimensional Manifold Computing and Block Dividing Algorithm

Jia

2020

International Journal of Optics

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“…Chaotic systems possess a diffusion property of the initial condition and the control parameter with respect to the orbits, whereas the mixing property and the related ergodic behaviour of chaotic systems provide a good confusion property [21]. Cat map is a classical invertible 2D chaotic map that can be calculated as [20, 22]

()(, \begin{matrix} 1em4pt \\ x_{n + 1} \\ y_{n + 1} \end{matrix}) = ()(, \begin{matrix} 1em4pt \\ 1 & 1 \\ 1 & 2 \end{matrix}) ()(, \begin{matrix} 1em4pt \\ x_{n} \\ y_{n} \end{matrix}) mod 1,

in which

x_{n}, y_{n} \in falsefalse{0, 1 falsefalse}

; this map can be extended to 3D and generalised by introducing control parameters a x , a y , a z , b x , b y , b z :

(][, \begin{matrix} x_{n + 1} \\ y_{n + 1} \\ z_{n + 1} \end{matrix}) = A (][, \begin{matrix} x_{n} \\ y_{n} \\ z_{n} \end{matrix}) mod 1,

A = (][, \begin{matrix} 1em4pt \\ 1 + a_{x} a_{z} b_{y} & a_{z} & a_{y} + a_{x} a_{z} + a_{x} a_{y} a_{z} b_{y} \\ b_{z} + a_{x} b_{y} + a_{x} a_{z} b_{y} b_{z} & a_{z} b_{z} + 1 & a_{y} a_{z} + a_{x} a_{y} a_{z} b_{y} b_{z} + a_{x} a_{z} b_{z} + a_{x <...>} \end{matrix})

…”

Section: Preliminaries and Related Workmentioning

confidence: 99%

“…The logistic map is a simple 1D discrete equation that produces chaos at certain growth rates; it is the more widely used chaotic maps [8, 12]. However, due to the weakness of cat maps in eliminating chosen plaintext attack [22], some enhancement was added to achieve more security. This enhancement depends on generating a random key based on the ROI region, each group of the generated key will be used further as the control parameters of the chaotic maps.…”

Section: Proposed Partial Encryption–compression Schemementioning

confidence: 99%

Secure image compression approach based on fusion of 3D chaotic maps and arithmetic coding

Darwish

Noori²

2019

IET signal process.

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Advances in digital image processing and communications have created a great demand for real‐time secure image transmission over the networks. However, the development of effective, fast and secure dependent image compression‐encryption systems are still a research problem as the intrinsic features of images. A new approach is suggested in this study for partial image encryption‐compression that adopts chaotic three‐dimensional (3D) cat map to de‐correlate relations among pixels in conjunction with an adaptive thresholding technique that is utilised as a lossy compression technique instead of using complex quantisation techniques and also as a substitution technique to increase the security of the cipher image. The proposed scheme is based on employing both of lossless compression with encryption on the most significant part of the image after contourlet transform. However, the least significant parts are lossy compressed by employing a simple thresholding rule and arithmetic coding to render the image totally unrecognisable. Due to the weakness of 3D cat map to chosen plain text attack, the suggested scheme incorporates a mechanism to generate random key depending on the contents of the image (context key). Several experiments were done on benchmark images to insure the validity of the proposed technique.

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“…Digital images [10,11] are different from textual information due to their vivid and intuitive characteristics, such as bulk data capacity, high redundancy, and strong correlations between adjacent pixels. All these defects make conventional encryption algorithms [12,13], such as DES, AES, RSA, ECC, and IDEA, appear to be inappropriate for digital-image encryption due to their inefficiency and computational expenses. Therefore, image-information encryption [14] has become a major focus of research in the field of information security.…”

Section: Introductionmentioning

confidence: 99%

Mixed Multi-Chaos Quantum Image Encryption Scheme Based on Quantum Cellular Automata (QCA)

Mohamed,

El-Sayed,

Youssif

2023

Fractal Fract

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The advent of quantum computers could enable the resolution of complex computational problems that conventional cryptographic protocols find challenging. As a result, the formidable computing capabilities of quantum computers may render all present-day cryptographic schemes that rely on computational complexity ineffectual. Inspired by these possibilities, the primary purpose of this paper is to suggest a quantum image encryption scheme based on quantum cellular automata with mixed multi-chaos hybrid maps and a hyperchaotic system with quantum operations. To achieve desirable encryption outcomes, we designed an encryption scheme involving two main operations: (1) pixel-level diffusion and (2) pixel-level permutation. Initially, the secret keys generated using the hyperchaotic system were closely tied to the original image. During the first phase, the establishment of correlations among the image pixels, in addition to the three chaotic sequences obtained from the hyperchaotic system, was achieved with the application of a quantum-state superposition and measurement principle, wherein the color information of a pixel is described using a single qubit. Therefore, the three channels of the plain image were subjected to quantum operations, which involve Hadamard transformation and the quantum-controlled NOT gate, before the diffusion of each color channel with the hyperchaotic system. Subsequently, a quantum ternary Toffoli gate was used to perform the diffusion operation. Next, the appropriate measurement was performed on the three diffused channels. To attain the confusion phase, a blend of mixed multi-chaos hybrid maps and a two-dimensional quantum cellular automaton was used to produce random and chaotic sequence keys. Subsequently, the circular shift was utilized to additionally shuffle the rows and columns of the three diffused components, in order to alter the positions of their pixel values, which significantly contributes to the permutation process. Lastly, the three encoding channels, R, G, and B, were merged to acquire the encrypted image. The experimental findings and security analyses established that the designed quantum image encryption scheme possesses excellent encryption efficiency, a high degree of security, and the ability to effectively withstand a diverse variety of statistical attacks.

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Image encryption scheme for secure digital images based on 3D cat map and Turing machine

Cited by 16 publications

References 9 publications

Image Encryption Based on High-Dimensional Manifold Computing and Block Dividing Algorithm

Image Encryption Based on High-Dimensional Manifold Computing and Block Dividing Algorithm

Secure image compression approach based on fusion of 3D chaotic maps and arithmetic coding

Mixed Multi-Chaos Quantum Image Encryption Scheme Based on Quantum Cellular Automata (QCA)

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