A parallel image encryption algorithm based on the piecewise linear chaotic map and hyper-chaotic map

Luo, Yuling; Zhou, Ronglong; Liu, Junxiu; Cao, Yi; Ding, Xuemei

doi:10.1007/s11071-018-4251-9

Cited by 95 publications

(51 citation statements)

References 47 publications

(70 reference statements)

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“…To investigate the randomness property of the generated PRNG sequence S, we applied NIST SP 800-22 specified tests. These tests comprise of fifteen (15) assessments that are performed on a generated sequence of 10 6 bits length. We used the same initial values and control parameters for constructing S-box to generate the PRNG sequence whose results are presented in Table 3.…”

Section: S-box Constructionmentioning

confidence: 99%

“…tems in image encryption is not new, including many employing one-dimensional or higher dimension chaotic systems to generate a sequence of random numbers for construction of a cipher image that have been broached in [12][13][14][15][16] . However, most of these approaches produce images that are vulnerable to various attacks due to their narrow key-space allowance and imprecise mathematical construction.…”

Section: Application Of Proposed Cascade Protocol In Image Encryptionmentioning

confidence: 99%

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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

109

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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: S-box Constructionmentioning

confidence: 99%

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

109

View full text Add to dashboard Cite

show abstract

“…Up to now, all kinds of image encryption algorithms through chaotic system are proposed [1,[8][9][10][11][12][13]. For example, Hua et al [8] proposed an image encryption scheme using 2D Logistic-adjusted-Sine map.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, Natiq et al [10] designed a new hyperchaotic map and its application for image encryption. Luo Y and his research team [11] proposed a parallel image encryption algorithm through two chaotic maps.…”

Section: Introductionmentioning

confidence: 99%

Fractional-order 4D hyperchaotic memristive system and application in color image encryption

Mou

et al. 2019

J Image Video Proc.

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In this paper, some properties of the fractional-order four-dimensional (4D) hyperchaotic memristive system are analyzed by the phase diagram, Lyapunov exponent spectrum and bifurcation diagram according to the Adomian decomposition method. Based on the chaotic system, a color image encryption scheme is proposed through combining the DNA sequence operation. The algorithm simulation results and security feature analysis show that the encryption scheme has good encryption effect and high safety performance, which provides an experimental basis and theoretical guidance for the safe transmission of image information.

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“…Many interesting image encryption algorithms based on different chaotic maps were proposed in recent years. A piecewise linear chaotic map and a four-dimensional hyper-chaotic map are used to control the permutation and diffusion processes in an algorithm [15]. The algorithm [16] utilizes a Chebyshev map and rotation equation for permutation and substitution operations.…”

Section: Introductionmentioning

confidence: 99%

Quantum Image Encryption Scheme Using Arnold Transform and S-box Scrambling

Liu

Zhao

Huang

2019

Entropy

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The paper proposes a lossless quantum image encryption scheme based on substitution tables (S-box) scrambling, mutation operation and general Arnold transform with keys. First, the key generator builds upon the foundation of SHA-256 hash with plain-image and a random sequence. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Second, the permutation and gray-level encryption architecture is built by discrete Arnold map and quantum chaotic map. Before the permutation of Arnold transform, the pixel value is modified by quantum chaos sequence. In order to get high scrambling and randomness, S-box and mutation operation are exploited in gray-level encryption stage. The combination of linear transformation and nonlinear transformation ensures the complexity of the proposed scheme and avoids harmful periodicity. The simulation shows the cipher-image has a fairly uniform histogram, low correlation coefficients closed to 0, high information entropy closed to 8. The proposed cryptosystem provides 2256 key space and performs fast computational efficiency (speed = 11.920875 Mbit/s). Theoretical analyses and experimental results prove that the proposed scheme has strong resistance to various existing attacks and high level of security.

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A parallel image encryption algorithm based on the piecewise linear chaotic map and hyper-chaotic map

Cited by 95 publications

References 47 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

Fractional-order 4D hyperchaotic memristive system and application in color image encryption

Quantum Image Encryption Scheme Using Arnold Transform and S-box Scrambling

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