Design and implementation of a simple dynamical 4-D chaotic circuit with applications in image encryption

Tsafack, Nestor; Kengne, Jacques; Abd-El-Atty, Bassem; Iliyasu, Abdullah M.; Hirota, Kaoru; El‐Latif, Ahmed A. Abd

doi:10.1016/j.ins.2019.10.070

Cited by 177 publications

(77 citation statements)

References 46 publications

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“…Theoretically, a pristine, i.e. unencrypted, image should have C xy values close to 1 in each direction (horizontal, vertical and diagonal) whereas a well encrypted image should have values close to 0 [47][48][49] . To compute C xy for the encrypted and original images in each direction, we randomly selected 10,000 pairs of neighbouring pixels and used (3) to quantify their correlation.…”

Section: Application Of Proposed Cascade Protocol In Image Encryptionmentioning

confidence: 99%

Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications

El‐Latif

Abd-El-Atty

Amin

et al. 2020

Sci Rep

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107

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Designing efficient and secure cryptosystems has been a preoccupation for many scientists and engineers for a long time wherein they use chaotic systems to design new cryptosystems. While one dimensional (1-D) chaotic maps possess powerful properties compared to higher dimension ones, they are vulnerable to various attacks due to their small key space, chaotic discontinuous ranges, and degradation in chaotic dynamical behaviours. Moreover, when simulated on a computer, every such chaotic system produces a periodic cycle. Meanwhile, quantum random walks exhibit the potential for deployment in efficient cryptosystem design, which makes it an excellent solution for this problem. In this context, we present a new method for constructing substitution boxes (S-boxes) based on cascaded quantum-inspired quantum walks and chaos inducement. the performance of the proposed S-box scheme is investigated via established S-box evaluation criterion and outcomes suggest that the constructed S-box has significant qualities for viable applications information security. Further, we present an efficient scheme for pseudo-random numbers generation (PRNG) whose sustainability over long periods remedies the periodicity problem associated with traditional cryptographic applications. Furthermore, by combining the two mechanisms, an atypical image encryption scheme is introduced. Simulation results and analysis validate that the proposed image encryption algorithm will offer gains in many cryptographic applications. Chaotic systems have attracted a great deal of attention across different scientific and engineering disciplines, especially in designing new cryptosystems and cryptanalysis. A chaotic system is an evolution map of a deterministic dynamical system that reconstructs the state of a system S 0 to a new state S 1 depending on the initial state of S 0 , a control parameter C, and time T 1. Chaotic maps exhibit the desired properties of ergodicity, unpredictability, and sensitivity to their control parameter(s) and initial value(s) that satisfy the requirements for cryptosystem confusion-diffusion properties 2-4. In fact, an inappropriate initial control parameter of a chaotic system can lead to non-chaotic behaviours, which implies the reduction in nonlinearity levels as well as circumvention of insecurity pitfalls 5,6. Currently, chaotic dynamical systems play a vital role in designing modern cryptographic applications, such as constructing S-boxes, generating pseudo-random numbers, designing image encryption algorithms and so on 7-16 , which are based on the unproven assumptions pertaining to computational complexity and that their constructions are based on mathematical models. However, with the development of quantum technologies, some of these traditional security mechanisms, and cryptographic applications may be effortlessly violated and abused 17-19. Among the computational models developed in quantum computation, quantum walks (QWs), which is a universal model of quantum computation that has been traditionally employed to de...

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Section: Application Of Proposed Cascade Protocol In Image Encryptionmentioning

confidence: 99%

Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications

El‐Latif

Abd-El-Atty

Amin

et al. 2020

Sci Rep

Self Cite

107

View full text Add to dashboard Cite

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“…NPCR and UACI are the main metrics utilized to certify if a cryptosystem can withstand differential intrusions [41]. NPCR determine the quota of different intensity pixel among two encoded images of I(i, j) and I (i, j) while UACI measures the mean intensity of divergence between the encrypted version of I(i, j) and I (i, j).…”

Section: A Npcr and Uaci Analysismentioning

confidence: 99%

A New Chaotic Map With Dynamic Analysis and Encryption Application in Internet of Health Things

Sankar²,

et al. 2020

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In this paper, we report an effective cryptosystem aimed at securing the transmission of medical images in an Internet of Healthcare Things (IoHT) environment. This contribution investigates the dynamics of a 2-D trigonometric map designed using some well-known maps: Logistic-sine-cosine maps. Stability analysis reveals that the map has an infinite number of solutions. Lyapunov exponent, bifurcation diagram, and phase portrait are used to demonstrate the complex dynamic of the map. The sequences of the map are utilized to construct a robust cryptosystem. First, three sets of key streams are generated from the newly designed trigonometric map and are used jointly with the image components (R, G, B) for hamming distance calculation. The output distance-vector, corresponding to each component, is then Bit-XORed with each of the key streams. The output is saved for further processing. The decomposed components are again Bit-XORed with key streams to produce an output, which is then fed into the conditional shift algorithm. The Mandelbrot Set is used as the input to the conditional shift algorithm so that the algorithm efficiently applies confusion operation (complete shuffling of pixels). The resultant shuffled vectors are then Bit-XORed (Diffusion) with the saved outputs from the early stage, and eventually, the image vectors are combined to produce the encrypted image. Performance analyses of the proposed cryptosystem indicate high security and can be effectively incorporated in an IoHT framework for secure medical image transmission.

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“…Chaos acts as a vital tool in modern cryptographic procedures [ 58 ]. Based on the advantages of the presented HNN chaotic system, we proposed a new image encryption algorithm based on fractal Julia set.…”

Section: Application Of the Proposed Hnn To Image Encryptionmentioning

confidence: 99%

Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption

Njitacke

Doubla

Tsafack

et al. 2020

Neural Comput & Applic

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In this contribution, the problem of multistability control in a simple model of 3D HNNs as well as its application to biomedical image encryption is addressed. The space magnetization is justified by the coexistence of up to six disconnected attractors including both chaotic and periodic. The linear augmentation method is successfully applied to control the multistable HNNs into a monostable network. The control of the coexisting four attractors including a pair of chaotic attractors and a pair of periodic attractors is made through three crises that enable the chaotic attractors to be metamorphosed in a monostable periodic attractor. Also, the control of six coexisting attractors (with two pairs of chaotic attractors and a pair of periodic one) is made through five crises enabling all the chaotic attractors to be metamorphosed in a monostable periodic attractor. Note that this controlled HNN is obtained for higher values of the coupling strength. These interesting results are obtained using nonlinear analysis tools such as the phase portraits, bifurcations diagrams, graph of maximum Lyapunov exponent, and basins of attraction. The obtained results have been perfectly supported using the PSPICE simulation environment. Finally, a simple encryption scheme is designed jointly using the sequences of the proposed HNNs and the sequences of real/imaginary values of the Julia fractals set. The obtained cryptosystem is validated using some well-known metrics. The proposed method achieved entropy of 7.9992, NPCR of 99.6299, and encryption time of 0.21 for the 256*256 sample 1 image.

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Design and implementation of a simple dynamical 4-D chaotic circuit with applications in image encryption

Cited by 177 publications

References 46 publications

Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications

Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications

A New Chaotic Map With Dynamic Analysis and Encryption Application in Internet of Health Things

Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption

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