A novel image encryption algorithm based on compound-coupled logistic chaotic map

Liu, Lingfeng; Wei, Zhixiang; Xiang, Hongyue

doi:10.1007/s11042-022-12765-8

Cited by 6 publications

(4 citation statements)

References 34 publications

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“…To do this, we use the last element in 𝐴 22 , and the first elements in 𝐵 1 and 𝑏 2 , according to Eq. (15).…”

Section: Diffusion Phasementioning

confidence: 99%

“…In 2021, Zhang et al designed an image encryption scheme based on complex sinusoidal piecewise linear chaotic mapping and variable DNA coding [14] . In 2022, Liu et al designed a general compound coupled chaotic model, applied it to one-dimensional logistic mapping to verify the feasibility of the model, and proposed a new image encryption algorithm based on the compound coupled logistic mapping [15] . In 2023, Zhu et al proposed an image encryption scheme based on onedimensional fractional order sine mapping and parallel DNA coding, which uses parallel computation to significantly improve the algorithm [16] .…”

Section: Introductionmentioning

confidence: 99%

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Nonequal-length quantum image encryption based on bitplane chaotic mapping and the Arnold transformation

Zhang,

Zhou,

Luo

2024

Preprint

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In recent years, extensive research has been conducted on encryption algorithms based on square images. However, relatively few studies have evaluated nonsquare images. In this paper, we propose a novel encryption algorithm for nonequal length images. This algorithm incorporates bitplane chaotic mapping and Arnold transformation. To implement the algorithm effectively, we first transform the plain image into two binary sequences of equal size. Then, we introduce a new diffusion strategy to mutually diffuse these two sequences. Next, we utilize a chaotic map to control the swapping of binary elements between the two sequences. This process allows for the permutation of bits from one bitplane to any other bitplane. Finally, we employ the Arnold transform to scramble the positional information of the image, resulting in the final encrypted image. Using the parameters of nonequal Arnold transformation and the initial value of the Lorenz chaotic map as keys not only simplify the transmission of keys, but also makes the cryptosystem have infinite key space for resisting brute force attacks. Experimental results and security analysis verify that the proposed quantum image encryption algorithm can encrypt nonsquare images, and has good performance in terms of nonstatistical properties, key sensitivity, robustness and so on. Moreover, simulation experiments based on Qiskit successfully verify the correctness and feasibility of the quantum image encryption algorithm.

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“…To do this, we use the last element in 𝐴 22 , and the first elements in 𝐵 1 and 𝑏 2 , according to Eq. (15).…”

Section: Diffusion Phasementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonequal-length quantum image encryption based on bitplane chaotic mapping and the Arnold transformation

Zhang,

Zhou,

Luo

2024

Preprint

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“…Coupled systems imply the coupling of two or more chaotic systems together, which increases the complexity and dynamics of the system [17][18][19]. Jinyuan Liu and Yong Wang [19] proposed a coupled piecewise sine map (CPSM) that enhances the complexity of chaotic systems by coupling parameters between subsystems.…”

Section: Introductionmentioning

confidence: 99%

A novel fast image encryption algorithm based on coefficient independent coupled exponential chaotic map

Zhang,

Liu

2024

Phys. Scr.

Self Cite

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The performance of most chaotic systems is dependent on the selection of parameters, and an incorrect selection can lead to a significant reduction in the complexity and safety of chaotic systems or to chaotic degeneracy. In this paper, we investigate an Exponential Cyclic Coupling Chaotic Model (ECCCM) that maintains excellent and stable chaotic dynamics across a wide range of parameters. We use the Exponential Coupled Logistic Model (ECLM) as an example to design a new fast image encryption algorithm that treats the image as a three-dimensional matrix and simultaneously changes the positions and values of its pixels. Our proposed encryption algorithm has been verified through various experiments to be highly secure and competitive with other state-of-the-art algorithms.

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“…The main advantage of this scheme is the introduction of a composite chaotic system, which has superior dynamic performance and a larger parameter space, contributing to improved security and flexibility of the encryption algorithm. In 2022, Liu et al 28 designed a universal composite coupled chaotic model and demonstrated its feasibility. This model, with high dynamic complexity, can be applied to various scenarios.…”

Section: Introductionmentioning

confidence: 99%

Nonequal-length image encryption based on bitplane chaotic mapping

Zhang,

Zhou,

Luo

2024

Sci Rep

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In recent years, extensive research has focused on encryption algorithms for square images, with relatively little attention given to nonsquare images. This paper introduces a novel encryption algorithm tailored for nonequal length images, integrating bit-plane chaotic mapping and Arnold transformation. To effectively implement the algorithm, the plain image is initially transformed into two equal-sized binary sequences. A new diffusion strategy is then introduced to mutually diffuse these sequences, followed by the use of a chaotic map to control the swapping of binary elements between them, enabling permutation of bits across different bitplanes. Finally, the positional information of the image is scrambled using the Arnold transform, resulting in the generation of the encrypted image. By utilizing nonequal Arnold transformation parameters and the initial value of the Lorenz chaotic map as keys, the transmission of keys is simplified, and the cryptosystem gains infinite key space to resist brute force attacks. Experimental results and security analysis confirm the effectiveness of the proposed quantum image encryption algorithm in encrypting nonsquare images, demonstrating good performance in terms of nonstatistical properties, key sensitivity, and robustness. Furthermore, simulation experiments based on Qiskit successfully validate the correctness and feasibility of the quantum image encryption algorithm.

show abstract

A novel image encryption algorithm based on compound-coupled logistic chaotic map

Cited by 6 publications

References 34 publications

Nonequal-length quantum image encryption based on bitplane chaotic mapping and the Arnold transformation

Nonequal-length quantum image encryption based on bitplane chaotic mapping and the Arnold transformation

A novel fast image encryption algorithm based on coefficient independent coupled exponential chaotic map

Nonequal-length image encryption based on bitplane chaotic mapping

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