Wang, Mingxu; Wang, Xingyuan; Zhao, Tingting; Zhang, Chuan; Xia, Zhiqiu; Yao, Nianmin Spatiotemporal chaos in improved cross coupled map lattice and its application in a bit-level image encryption scheme. (English) Zbl 1478.94111 Inf. Sci. 544, 1-24 (2021). Summary: In this paper, an improved cross coupled map lattice (CCML) which is derived from CCML is proposed. The experimental analysis of CCML shows that it exhibits weak or even lose chaotic behaviors in a large range of parameters. To enhance its chaotic performance, the new model changes the internal chaotic map of CCML from the logistics map to the tent map and introduces the module operations to limit the obtained value. The theoretical analysis and experimental results prove that the proposed model has a broad chaotic regime over an extensive range of system parameters, positive Lyapunov exponents, higher information entropies and lower mutual information values when compared to CCML, which are highly suitable for chaos-based image encryption. Moreover, this paper applies that model on a bit-level image encryption scheme. The algorithm consists of three main operations: the generation of secret keys, confusion and diffusion operations that can break the limitation of row and column. To confirm the novel algorithm’s effectiveness and safety against the common types of attacks, many experiments are done and security analyses are discussed. It demonstrates the good chaos of the proposed model from the aspect of encryption performance. Cited in 7 Documents MSC: 94A60 Cryptography 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory Keywords:CCML; chaotic performance; bit-level image encryption; confusion; diffusion PDFBibTeX XMLCite \textit{M. Wang} et al., Inf. Sci. 544, 1--24 (2021; Zbl 1478.94111) Full Text: DOI References: [1] Memos, V. A.; Psannis, K. E.; Ishibashi, Y.; Kim, B. G.; Gupta, B. B., An Efficient Algorithm for Media-based Surveillance System (EAMSuS) in IoT Smart City Framework, Future Gener. Comp. Sy., 83, 619-628 (2018) [2] Stergiou, C.; Psannis, K. E.; Kim, B. G.; Gupta, B. B., Secure integration of IoT and Cloud Computing, Future Gener. Comp. Sy., 78, 964-975 (2018) [3] Plageras, A. P.; Psannis, K. E.; Stergiou, C.; Wang, H.; Gupta, B. B., Efficient IoT-based sensor BIG Data collection-processing and analysis in Smart Buildings, Future Gener. Comp. Sy., 82, 349-357 (2018) [4] Stergiou, C.; Psannis, K. E.; Plageras, A. P.; Ishibashi, Y.; Kim, B. G., Algorithms for efficient digital media transmission over IoT and cloud networking, J. Multimedia Inf. Syst., 5, 27-34 (2018) [5] Wang, C. P.; Wang, X. Y.; Xia, Z. Q.; Ma, B.; Shi, Y. Q., Image Description with Polar Harmonic Fourier Moments, IEEE Trans. Circuits Syst. Video Technol. (2019) [6] Fridrich, J., Symmetric ciphers based on two-dimensional chaotic maps, Int. J. Bifurcation Chaos, 8, 6, 1259-1284 (1998) · Zbl 0935.94019 [7] Wu, X. J.; Wang, K. S.; Wang, X. Y.; Kan, H. B.; Kurths, J., Color image DNA encryption NCA map-based CML and one-time keys, Signal Process, 148, 272-287 (2018) [8] Wu, X. J.; Wang, K. S.; Wang, X. Y.; Kan, H. B., Lossless chaotic color image cryptosystem based on DNA encryption and entropy, Nonlinear Dyn., 90, 2, 855-875 (2017) · Zbl 1391.94107 [9] Enayatifar, R.; Guimarães, F. G.; Siarry, P., Index-based permutation-diffusion in multiple-image encryption using DNA sequence, Opt. Lasers Eng., 115, 131-140 (2019) [10] Zhou, N. R.; Hu, Y. Q.; Gong, L. H.; Li, G. Y., Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations, Quantum Inf. Process., 16, 6, 164 (2017) · Zbl 1373.81194 [11] Zhou, N. R.; Yan, X. Y.; Liang, H. R.; Tao, X. Y.; Li, G. Y., Multi-image encryption scheme based on quantum 3D Arnold transform and scaled Zhongtang chaotic system, Quantum Inf. Process., 17, 12, 338 (2018) · Zbl 1402.81100 [12] Wang, M. X.; Wang, X. Y.; Zhang, Y. Q.; Gao, Z. G., A novel chaotic encryption scheme based on image segmentation and multiple diffusion models, Opt. Laser Technol., 108, 558-573 (2018) [13] Wang, M. X.; Wang, X. Y.; Zhang, Y. Q.; Zhou, S.; Zhao, T. T.; Yao, N. M., A novel chaotic system and its application in a color image cryptosystem, Opt. Lasers Eng., 121, 121, 479-494 (2019) [14] Annabya, M. H.; Rushdi, M. A.; Nehary, E. A., Color image encryption using random transforms, phase retrieval, chaotic maps, and diffusion, Opt. Lasers Eng., 103, 9-23 (2018) [15] Zhou, N. R.; Pan, S. M.; Cheng, S.; Zhou, Z. H., Image compression-encryption scheme based on hyper-chaotic system and 2D compressive sensing, Opt. Laser Technol., 82, 121-133 (2016) [16] Lorenz, E. N., Deterministic nonperiodic flow, J. Atmos. Sci., 20, 2, 130-141 (1963) · Zbl 1417.37129 [17] Kaneko, K., Pattern dynamics in spatiotemporal chaos: Pattern selection, diffusion of defect and pattern competition intermittency, Phys. D, 34, 1-2, 1-41 (1989) · Zbl 0702.58043 [18] Khellat, F.; Ghaderi, A.; Vasegh, N., Li-Yorke chaos and synchronous chaos in a globally nonlocal coupled map lattice, Chaos Soliton. Fract., 44, 11, 934-939 (2011) · Zbl 1297.37015 [19] Meherzi, S.; Marcos, S.; Belghith, S., A new spatiotemporal chaotic system with advantageous synchronization and unpredictability features, 147-150 (2006), Bologna, Italy: Bologna, Italy Proc. Int. Symp. Nonlinear Theory Appl. [20] Zhang, Y. Q.; Wang, X. Y., Spatiotemporal chaos in Arnold coupled logistic map lattice, Nonlinear Anal-Model, 18, 4, 526-541 (2013) · Zbl 1288.82034 [21] Zhang, Y. Q.; Wang, X. Y., A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice, Inf. Sci., 273, 329-351 (2014) [22] Wang, X. Y.; Feng, L.; Wang, S. B.; Zhang, C.; Zhang, Y. Q., Spatiotemporal chaos in coupled logistic map lattice with dynamic coupling coefficient and its application in image encryption, IEEE Access, 6, 39705-39724 (2018) [23] Wang, X. Y.; Zhao, H. Y.; Wang, M. X., A new image encryption algorithm with nonlinear-diffusion based on Multiple coupled map lattices, Opt. Laser Technol., 115, 42-57 (2019) [24] C. Zhao, J.D. Liu, Cross coupled tent map lattices system with uniform distribution, Proc. 2013 IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013), IEEE, Piscataway, NJ, USA, 2013, pp. 1-5. https://doi.org/10.1109/EBISS.2010.5473664. [25] Raza, S. F.; Satpute, V., A novel bit permutation-based image encryption algorithm, Nonlinear Dyn., 95, 2, 859-873 (2019) [26] Zhou, N. R.; Chen, W. W.; Yan, X. Y.; Wang, Y. Q., Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system, Quantum Inf. Process., 17, 6, 137 (2018) · Zbl 1448.81299 [27] Song, C. Y.; Qiao, Y. L.; Zhang, X. Z., An image encryption scheme based on new spatiotemporal chaos, Optik, 124, 18, 3329-3334 (2013) [28] Bechikh, R.; Hermassi, H.; El-Latif, A. A.A.; Rhouma, R.; Belghith, S., Breaking an image encryption scheme based on a spatiotemporal chaotic system, Signal Process Image Commun, 39, 151-158 (2015) [29] Mirzaei, O.; Yaghoobi, M.; Irani, H., A new image encryption method: parallel sub-image encryption with hyper chaos, Nonlinear Dyn., 67, 1, 557-566 (2012) [30] Wang, X. Y.; Liu, L. T., Cryptanalysis of a parallel sub-image encryption method with high-dimensional chaos, Nonlinear Dyn., 73, 1-2, 795-800 (2013) · Zbl 1281.68104 [31] Hua, Z. Y.; Jin, F.; Xu, B. X.; Huang, H. J., 2D Logistic-Sine-coupling map for image encryption, Signal Process, 149, 148-161 (2018) [32] Wang, X. Y.; Gao, S., Image encryption algorithm for synchronously updating Boolean networks based on matrix semi-tensor product theory, Inf. Sci., 507, 16-36 (2020) · Zbl 1456.68034 [33] Wang, X. Y.; Feng, L.; Zhao, H. Y., Fast image encryption algorithm based on parallel computing system, Inf. Sci., 486, 340-358 (2019) · Zbl 1451.68308 [34] Li, C. Q.; Li, S. J.; Lo, K. T., Breaking a modified substitution-diffusion image cipher based on chaotic standard and logistic maps, Commun Nonlinear Sci Numer Simul, 16, 2, 837-843 (2011) · Zbl 1221.94051 [35] Li, C. Q.; Li, S. J.; Asim, M.; Nunez, J.; Alvarez, G.; Chen, G. R., On the security defects of an image encryption Scheme, Image Vis Comput, 27, 9, 1371-1381 (2009) [36] Wang, C. P.; Wang, X. Y.; Xia, Z. Q.; Zhang, C., Ternary radial harmonic Fourier moments based robust stereo image zero-watermarking algorithm, Inf. Sci., 470, 109-120 (2019) [37] Shen, C. W.; Yu, S. M.; Lü, J. H.; Chen, G. R., Designing hyperchaotic systems with any desired number of positive Lyapunov exponents via a simple model, IEEE Trans. Circuits Syst. I, Reg. Papers, 61, 8, 2380-2389 (2014) [38] Shevchenko, I. I., Lyapunov exponents in resonance multiplets, Phys. Lett. A, 378, 1-2, 34-42 (2014) · Zbl 1396.34033 [39] Gan, Z. H.; Chai, X. L.; Zhang, M. H.; Lu, Y., A double color image encryption scheme based on three-dimensional brownian motion, Multimed. Tools Appl., 77, 21, 27919-27953 (2018) [40] Alvarez, G.; Li, S. H., Some basic cryptographic requirements for chaos-based cryptosystems, Int. J. Bifurcation Chaos, 16, 08, 2129-2151 (2006) · Zbl 1192.94088 [41] Ravichandran, D.; Praveenkumar, P.; Rayappan, J. B.B.; Amirtharajan, R., Chaos based crossover and mutation for securing DICOM image, Comput. Biol. Med., 72, 170-184 (2016) [42] Ravichandran, D.; Praveenkumar, P.; Rayappan, J. B.B.; Amirtharajan, R., DNA chaos blend to secure medical privacy, IEEE Trans. Nanobiosci., 16, 8, 850-858 (2017) [43] Li, J. F.; Xiang, S. Y.; Wang, H. N.; Gong, J. K.; Wen, A. J., A novel image encryption algorithm based on synchronized random bit generated in cascade-coupled chaotic semiconductor ring lasers, Opt. Lasers Eng., 102, 170-180 (2018) [44] Saljoughi, A. S.; Mirvaziri, H., A new method for image encryption by 3D chaotic map, Pattern. Anal Appl., 22, 1, 243-257 (2019) [45] Alawida, M.; Samsudin, A.; Teh, J. S.; Alkhawaldeh, R. S., A new hybrid digital chaotic system with applications in image encryption, Signal Process, 160, 45-58 (2019) [46] Wu, J. H.; Liao, X. F.; Yang, B., Image encryption using 2D Hénon-Sine map and DNA approach, Signal Process, 153, 11-23 (2018) [47] Teng, L.; Wang, X. Y.; Meng, J., A chaotic color image encryption using integrated bit-level permutation, Multimed. Tools Appl., 77, 6, 6883-6896 (2018) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.