2022
DOI: 10.1007/s12652-021-03675-y
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Novel encryption for color images using fractional-order hyperchaotic system

Abstract: The fractional-order functions show better performance than their corresponding integer-order functions in various image processing applications. In this paper, the authors propose a novel utilization of fractional-order chaotic systems in color image encryption. The 4D hyperchaotic Chen system of fractional-order combined with the Fibonacci Q-matrix. The proposed encryption algorithm consists of three steps: in step#1, the input image decomposed into the primary color channels, R, G, & B. The confusion and di… Show more

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Cited by 62 publications
(28 citation statements)
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“…However, this study did not address the hyperchaotic system, so it did not produce the desired results. A unique use of fractional-order chaotic systems in color picture encryption was presented in the study [6]. They merged the Fibonacci Q-matrix with the 4D hyperchaotic Chen system of fractionalorder.…”
Section: Literature Review and Problem Statementsmentioning
confidence: 99%
See 2 more Smart Citations
“…However, this study did not address the hyperchaotic system, so it did not produce the desired results. A unique use of fractional-order chaotic systems in color picture encryption was presented in the study [6]. They merged the Fibonacci Q-matrix with the 4D hyperchaotic Chen system of fractionalorder.…”
Section: Literature Review and Problem Statementsmentioning
confidence: 99%
“…In a variety of image-processing applications, the fractional-order functions outperform their similar integer-order functions. A method for encrypting color images using fractional-order chaotic systems is suggested by [5][6][7]. The Fibonacci Q-matrix coupled with the fractional-order 4D hyperchaotic Chen system ensures the effectiveness of the encryption method and its defense against attacks [6].…”
Section: Literature Review and Problem Statementsmentioning
confidence: 99%
See 1 more Smart Citation
“…In equation ( 1), 𝑑𝑥 𝑖 𝑑𝑡 , 𝑖 = 1,2,3,4 is the derivative for time t and 𝑚, 𝑛, 𝑝, 𝑞, 𝑟 are the chaotic system's parameters, which has two positive Lyapunov exponents when 𝑚 = 35, 𝑛 = 3, 𝑝 = 12, 𝑞 = 7, 𝑟 = 0.3, which implies that the system is hyperchaotic [49].…”
Section: A 4d Hyperchaotic Chen Systemmentioning
confidence: 99%
“…Recently, a multilayer type-2 fuzzy control system was discussed for the synchronization of 5D nonlinear chaotic systems [15]. Hosny et al introduced a 4D hyperchaotic Chen system for color image encryption [16]. Yan et al presented a 5D fractional chaotic system synchronization, which could be a good choice for secure transmission [17].…”
Section: Introductionmentioning
confidence: 99%