Abstract
The chaotic maps and cryptographic schemes are considered as the standard backbone for digital image encryption process. The pixel rearrangement under digital image encryption process in diversified dimensions is determined to be highly deceiving for pernicious parties. Moreover, the sensitivity of the chaos-based cryptosystem towards the characteristics of unpredictability, initial conditions and ergodic features is considered to be predominant during the process of image encryption. This paper contributes a Fibonacci p-code Traversingand Unified Chaotic Map-based Image Encryption (FPT-UCM-IE) scheme for facilitating three processes that include key stream generation, three-iterations-based scrambling and single round diffusion process. This proposed FPT-UCM-IE scheme initiates the process of key generation using the unified chaotic map. Then, the process of Fibonacci p-code Traversing is employed for facilitating effective act of scrambling, such that the pixel rows and columns are exchanged in a predominant manner. The final single round diffusion process of this proposed FPT-UCM-IE scheme is incorporated for cracking the strong correlations and modifying the pixel value that exist between the neighboring pixel in a simultaneous way. The security investigations of this proposed FPT-UCM-IE scheme aredetermined to be superior enough is resisting common type of attacks that are possible during the process of image encryption.




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Agarwal S (2018) Secure image transmission using fractal and 2D-chaotic map. J Imaging 4(1):17–28
Anandkumar R, Kalpana R (2019) Designing a fast image encryption scheme using fractal function and 3D Henon map. J Inform Secur Appl 49:102390
Annaby M, Rushdi M, Nehary E (2018) Color image encryption using random transforms, phase retrieval, chaotic maps, and diffusion. Opt Lasers Eng 103:9–23
Belazi A, Abd El-Latif AA, Diaconu A, Rhouma R, Belghith S (2017) Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms. Opt Lasers Eng 88(1):37–50
Berthiau G, Siarry P (2001) Etat de l’art des méthodes “d’optimisation globale.” RAIRO Oper Res 35(3):329–365
Bisht A, Dua M, Dua S (2018) A novel approach to encrypt multiple images using multiple chaotic maps and chaotic discrete fractional random transform. J Ambient Intell Humaniz Comput 10(9):3519–3531
Chai X, Gan Z, Lu Y, Zhang M, Chen Y (2016) A novel color image encryption algorithm based on genetic recombination and the four-dimensional memristive hyperchaotic system. Chin Phys B 25(10):100503
Chai X, Zheng X, Gan Z, Han D, Chen Y (2018) An image encryption algorithm based on chaotic system and compressive sensing. Sig Process 148(1):124–144
Chai X, Zhang J, Gan Z et al (2019a) Medical image encryption algorithm based on Latin square and memristive chaotic system. Multimed Tools Appl 78:35419–35453
Chai X, Zheng X, Gan Z, Chen Y (2019b) Exploiting plaintext-related mechanism for secure color image encryption. Neural Comput Appl 2(1):18–29
Chandra M, Sharma P (2017) Image encryption based on random scrambling and chaotic gauss iterative map. Int J Comp Appl 157(3):18–23
Chen X, Hu C (2017) Adaptive medical image encryption algorithm based on multiple chaotic mapping. Saudi J Biol Sci 24(8):1821–1827
Chen G, Kudryashova EV, Kuznetsov NV, Leonov GA (2016) Dynamics of the zeraoulia-sprott map revisited. Int J Bifurc Chaos 26(07):1650126
Dua M, Wesanekar A, Gupta V, Bhola M, Dua S (2019) Differential evolution optimization of intertwining logistic map-DNA based image encryption technique. J Ambient Intell Humaniz Comput 1(1):23–34
Fu C, Zhang G, Zhu M, Chen Z, Lei W (2018) A new chaos-based color image encryption scheme with an efficient substitution keystream generation strategy. Secur Commun Netw 2018(1):1–13
Gan Z, Chai X, Han D et al (2019) A chaotic image encryption algorithm based on 3-D bit-plane permutation. Neural Comput & Applic 31:7111–7130
Gu G, Liu F (2011) Contourlet domain image encryption based on chaos mapping. J Comp Appl 31(3):771–773
Gupta A, Singh D, Kaur M (2019) An efficient image encryption using non-dominated sorting genetic algorithm-III based 4-D chaotic maps. J Ambient Intell Humaniz Comput 2(1):34–45
Li C, Li H, Li F, Wei D, Yang X, Zhang J (2018a) Multiple-image encryption by using robust chaotic map in wavelet transform domain. Optik 171(1):277–286
Li F, Wu H, Zhou G, Wei W (2018b) Robust real-time image encryption with aperiodic chaotic map and random-cycling bit shift. J Real-Time Image Proc 1(1):34–46
Liu L, Zhang X (2013) Image encryption algorithm based on chaos and bit operations. J Comp Appl 33(4):1070–1073
Liu H, Kadir A, Sun X (2017) Chaos-based fast colour image encryption scheme with true random number keys from environmental noise. IET Image Proc 11(5):324–332
Michalewicz Z, Janikow CZ (1991) Genetic algorithms for numerical optimization. Stat Comput 1(2):75–91
Parvaz R, Zarebnia M (2018) A combination chaotic system and application in color image encryption. Opt Laser Technol 101(1):30–41
Ramalingam B, Ravichandran D, Annadurai AA, Rengarajan A, Rayappan JB (2017) Chaos triggered image encryption - a reconfigurable security solution. Multimed Tools Appl 77(10):11669–11692
Rarità L, Stamova I, Tomasiello S (2021) Numerical schemes and genetic algorithms for the optimal control of a continuous model of supply chains. Appl Math Comput 388(2):125464
Singh P, Yadav A, Singh K (2017) Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition. Opt Lasers Eng 91(1):187–195
Sneha PS, Sankar S, Kumar AS (2019) A chaotic colour image encryption scheme combining Walsh-Hadamard transform and Arnold-Tent maps. J Ambient Intell Humaniz Comput 2(1):65–78
Suri S, Vijay R (2018) A synchronous intertwining logistic map-DNA approach for color image encryption. J Ambient Intell Humaniz Comput 10(6):2277–2290
Tang Z, Yang Y, Xu S, Yu C, Zhang X (2019) Image Encryption with Double Spiral Scans and Chaotic Maps. Secur Commun Netw 2019(1):1–15
Wang X, Teng L (2011) An image blocks encryption algorithm based on spatiotemporal chaos. Nonlinear Dyn 67(1):365–371
Wang X, Liu C, Xu D, Liu C (2016) Image encryption scheme using chaos and simulated annealing algorithm. Nonlinear Dyn 84(3):1417–1429
Wang X, Zhu X, Zhang Y (2018) An image encryption algorithm based on josephus traversing and mixed chaotic map. IEEE Access 6(1):23733–23746
Wu J, Liao X, Yang B (2018) Image encryption using 2D Hénon-sine map and DNA approach. Sig Process 153(1):11–23
Xu M (2015) A modified chaos-based image encryption algorithm. J Softw 10(8):931–938
Zhan K, Wei D, Shi J, Yu J (2017) Cross-utilizing hyperchaotic and DNA sequences for image encryption. J Electr Imaging 26(1):013021
Zhang F (2014) A symmetric image encryption scheme based on chaotic Hénon and logistic maps. Adv Commun Technol Syst 1(1):12–21
Zhang M, Tong X (2017) Joint image encryption and compression scheme based on IWT and SPIHT. Opt Lasers Eng 90(1):254–274
Zhang Y, Wang X (2014) A symmetric image encryption algorithm based on mixed linear–nonlinear coupled map lattice. Inf Sci 273(1):329–351
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Anandkumar, R., Kalpana, R. A Fibonacci p-code traversing and unified chaotic map-based image encryption algorithm. J Ambient Intell Human Comput 13, 3713–3727 (2022). https://doi.org/10.1007/s12652-021-03659-y
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DOI: https://doi.org/10.1007/s12652-021-03659-y