Chaos based 3D color image encryption

Allah, M. I. Fath; Eid, Marwa M.

doi:10.1016/j.asej.2019.07.009

Cited by 10 publications

(6 citation statements)

References 9 publications

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“…[19,37,38,45,46], the sine function selected as Equation (8); in Ref. [14], the sine function selected as Equation (9), and the sine function selected as Equation (10) in Refs. [47,48].…”

Section: A Novel Chaotic System For Generating 3-d Multi-scroll Chaot...mentioning

confidence: 99%

“…If the sine functions in the form of Equations ( 8) and (10) are used directly to the chaotic system, the number of scrolls will be varied with transient simulation time. In order to generate a constant number of scrolls by using a sine function, a state feedback controller is used [46], for the same purpose, we change the expression of the sine function as Equation (3).…”

Section: A Novel Chaotic System For Generating 3-d Multi-scroll Chaot...mentioning

confidence: 99%

“…Chaotic system with slight changing of initial value will produce different trajectories, and the power spectrum of chaotic system state variables is similar to random signals, the chaotic system has been widely studied around the world. Owing to deep research, the chaotic system has been applied in a great variety of engineering fields, for instance, digital image watermarking [1,2], weak signal detection [3][4][5], image encryption [6][7][8][9][10], and secure communication [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Generation of 3-D Grid Multi-Scroll Chaotic Attractors Based on Sign Function and Sine Function

Ding

2020

Electronics

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A three directional (3-D) multi-scroll chaotic attractors based on the Jerk system with nonlinearity of the sine function and sign function is introduced in this paper. The scrolls in the X-direction are generated by the sine function, which is a modified sine function (MSF). In addition, the scrolls in Y and Z directions are generated by the sign function series, which are the superposition of some sign functions with different time-shift values. In the X-direction, the scroll number is adjusted by changing the comparative voltages of the MSF, and the ones in Y and Z directions are regulated by the sign function. The basic dynamics of Lyapunov exponent spectrum, phase diagrams, bifurcation diagram and equilibrium points distribution were studied. Furthermore, the circuits of the chaotic system are designed by Multisim10, and the circuit simulation results indicate the feasibility of the proposed chaotic system for generating chaotic attractors. On the basis of the circuit simulations, the hardware circuits of the system are designed for experimental verification. The experimental results match with the circuit simulation results, this powerfully proves the correctness and feasibility of the proposed system for generating 3-D grid multi-scroll chaotic attractors.

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“…[19,37,38,45,46], the sine function selected as Equation (8); in Ref. [14], the sine function selected as Equation (9), and the sine function selected as Equation (10) in Refs. [47,48].…”

Section: A Novel Chaotic System For Generating 3-d Multi-scroll Chaot...mentioning

confidence: 99%

Section: A Novel Chaotic System For Generating 3-d Multi-scroll Chaot...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generation of 3-D Grid Multi-Scroll Chaotic Attractors Based on Sign Function and Sine Function

Ding

2020

Electronics

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“…Then how to ensure the security of image information in the transmission process becomes an important issue that people pay attention to. It is worth mentioning that with its inherent ergodicity, randomness and sensitivity to initial conditions, chaotic systems are widely used in the field of image encryption [6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Four-Wing Chaotic System and Application in Image Encryption Based on Compressive Sensing

Zhang,

2024

IEEE Access

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Compared with the conventional multi-scroll attractor, the multi-wing butterfly chaotic attractors are easier to design and implement through analog circuitry, thus they has more potential applications. In this paper, a chaotic system with four-wing attractors is designed and the dynamic behaviors are analyzed in terms of phase diagram, bifurcation diagram, Lyapunov exponential spectrum and C 0 structural complexity. It is found that each parameter has a large range of intervals that can keep the system in a chaotic state and the generated sequences have sufficient randomness to be well suited for applications in secure communications. Then, the circuit model of the constructed four-wing chaotic system is built with a basic operational amplifier circuit, and the accuracy of the circuit implementation is verified. Finally, a color image compression encryption scheme is designed based on the theory of compressive sensing and DNA dynamic coding. The algorithm is mainly composed of five parts: sparse, compression calculation, 3D projection scrambling, DNA diffusion and plaintext association confusion. The security test results show that the designed scheme not only has superior compression performance and high security, but also has no limitation on the size of the test image.

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“…However, the logistic map is not secure enough because of its small chaotic space and is vulnerable to brute force attacks. Although some existing image encryption algorithms have high security [6,[27][28][29][30][31][32], many of them are only suitable for specific types of image encryption, such as color image and medical image, and cannot handle all types of digital images. The defects of these existing image encryption schemes have aroused our motivation to design a new image encryption scheme that is safe, fast and universal.…”

Section: Introductionmentioning

confidence: 99%

A New One-Dimensional Compound Chaotic System and Its Application in High-Speed Image Encryption

et al. 2021

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In the edge computing and network communication environment, important image data need to be transmitted and stored securely. Under the condition of limited computing resources, it is particularly necessary to design effective and fast image encryption algorithms. One-dimensional (1D) chaotic maps provide an effective solution for real-time image encryption, but most 1D chaotic maps have only one parameter and a narrow chaotic interval, which has the disadvantage of security. In this paper, a new compound 1D chaotic map composed of a logistic map and tent map is proposed. The new system has two system parameters and an arbitrarily large chaotic parameter interval, and its chaotic signal is evenly distributed in the whole value space so it can improve the security in the application of information encryption. Furthermore, based on the new chaotic system, a fast image encryption algorithm is proposed. The algorithm takes the image row (column) as the cyclic encryption unit, and the time overhead is greatly reduced compared with the algorithm taking the pixel as the encryption unit. In addition, the mechanism of intermediate key associated with image content is introduced to improve the ability of the algorithm to resist chosen-plaintext attack and differential attack. Experiments show that the proposed image encryption algorithm has obvious speed advantages and good cryptographic performance, showing its excellent application potential in secure network communication.

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Chaos based 3D color image encryption

Cited by 10 publications

References 9 publications

Generation of 3-D Grid Multi-Scroll Chaotic Attractors Based on Sign Function and Sine Function

Generation of 3-D Grid Multi-Scroll Chaotic Attractors Based on Sign Function and Sine Function

Dynamic Analysis of a Four-Wing Chaotic System and Application in Image Encryption Based on Compressive Sensing

A New One-Dimensional Compound Chaotic System and Its Application in High-Speed Image Encryption

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