Abstract
The majority of existing image encryption algorithms use single chaotic systems, such as Logistic map or Lorentz system, to be the pseudo-random sequence generator. Actually, neither low nor high dimensional chaotic system can get rid of pseudo-randomness deterioration of chaotic sequence calculated by limited precision computer. Additionally, most of them use only one chaotic pseudo-random sequence throughout the encryption process. These are the more obvious deficiencies. In the current paper, a novel compound chaotic system is applied to color images domain to solve the mentioned problems. Dynamic parameter-control chaotic system can enhance the sequence’s randomness after digitalizing. Corresponding the different sequences generated by the novel chaotic system to each color channel of image is a helpful method to reduce the image’s statistical characteristics in the scrambling process. Finally, the effectiveness and security of the proposed encryption has been illustrated by the experimental, and at the meantime, excellent performance is also demonstrated.
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References
Abdulla AA (2015) Exploiting similarities between secret and cover images for improved embedding efficiency and security in digital steganography. Thesis. http://bear.buckingham.ac.uk/id/eprint/149
Akhshani A, Behnia S, Akhavan A, Hassan HA, Hassan ZJOC (2010) A novel scheme for image encryption based on 2d piecewise chaotic maps. Opt Commun 283(17):3259–3266
Anishchenko VS, Vadivasova TE, Postnov DE, Safonova MAJIJoB (1992) Chaos: Synchronization of chaos. Int J Bifurcation Chaos 2(3):633–644
Behnia S, Akhshani A, Mahmodi H, Akhavan AJCS (2008) Fractals: A novel algorithm for image encryption based on mixture of chaotic maps. Chaos, Solitons Fractals 35(2):408–419
Cai Z (2019) Engineering: Security and confidentiality of network communication using chaotic encryption technology. (5) pp 1–10
Chen G, Mao Y, Chui CK (2004) Encryption scheme based on 3d chaotic cat maps. Chaos, Solitons Fractals 21(3):749–761
El-Latif AAA, Li L, Ning W, Qi H, Niu XJSP (2013) A new approach to chaotic image encryption based on quantum chaotic system, exploiting color spaces. Signal Proc 93(11):2986–3000
Fan S, Li K, Zhang Y, Wang JJIA (2020) A hybrid chaotic encryption scheme for wireless body area networks. IEEE Access 8:183411–183429
Guan ZH, Huang F, Guan WJPLA (2005) Chaos-based image encryption algorithm. Phys Lett 346(1-3):153–157
Hua Z, Fan J, Xu B, Huang H (2018) 2d logistic-sine-coupling map for image encryption. Signal Process 149:148–161
Hua Z, Zhou Y (2015) Dynamic parameter-control chaotic system. IEEE Trans Cybernet 46(12):3330–3341
Hussain I, Gondal MAJND (2014) An extended image encryption using chaotic coupled map and s-box transformation. Nonlinear Dyn 76(2):1355–1363
Kang X, Lin GF, Chen YJ, Zhao F, Zhang EH, Jing CN (2020) Applications: Robust and secure zero-watermarking algorithm for color images based on majority voting pattern and hyper-chaotic encryption. Multimed Tools Appl 79(1/2):1169–1202
Kaur M, Kumar VJEL (2018) An efficient image encryption method based on improved lorenz chaotic system. Electron Lett 54(9):562–564
Khan M, Masood F (2019) Applications: A novel chaotic image encryption technique based on multiple discrete dynamical maps. Multimed Tools Appl 78(18):26203–26222
Li M, Fan H, Xiang Y, Li Y, Zhang Y (2018) Cryptanalysis and improvement of a chaotic image encryption by first-order time-delay system. IEEE MultiMed PP(3):1–1
Li S, Mou X, Cai Y, Zhen J, Zhang J (2003) On the security of a chaotic encryption scheme: problems with computerized chaos in finite computing precision
Liu Y, Zhang JJMT (2020) Applications: A multidimensional chaotic image encryption algorithm based on dna coding. 79:29–30
Lv X, Liao X, Yang B, Matter Physics SPAP (2018) Bit-level plane image encryption based on coupled map lattice with time-varying delay. Mod Phys Lett B 32(10):1850124
Ni Z, Kang X, Lei W (2016) A novel image encryption algorithm based on bit-level improved arnold transform and hyper chaotic map. In: IEEE international conference on signal and image processing (ICSIP)
Ozoguz S, Elwakil AS, Ergun S (2006) Systems: Cross-coupled chaotic oscillators and application to random bit generation. IEE Proc Circ Devices Syst 153(5):506–510
Patidar V, Pareek NK, Sud KK, Simulation N (2009) A new substitution–diffusion based image cipher using chaotic standard and logistic maps. Commun Nonlinear Sci Numer Simul 14(7):3056–3075
Perko L (2001) Differential equations and dynamical systems. Springer, New York
Pickover CA (2010) Graphics, bifurcation, order and chaos. 6(1):26–33
Pisarchik AN, Flores-Carmona NJ, Carpio-Valadez MJC (2006) Encryption and decryption of images with chaotic map lattices. Chaos Interdiscip J Nonlinear 16(3):821
Rajagopalan S, Rethinam S, Arumugham S, Upadhyay HN, Rayappan JBB, Amirtharajan R (2018) Applications: Networked hardware assisted key image and chaotic attractors for secure rgb image communication. 77(18):1–34
Shannon CE (1949) Communication theory of secrecy systems. Bell Syst Tech J 28(4):656–715
Tariq S, Khan M, Alghafis A, Amin MJMT (2020) Applications: A novel hybrid encryption scheme based on chaotic lorenz system and logarithmic key generation. (10)
Thompson JMT, Stewart HBJJoSP (2000) Nonlinear dynamics and chaos. 78(5-6):1635–1636
Xu L, Li Z, Li J, Hua WJO, Engineering Li (2012) A novel bit-level image encryption algorithm based on chaotic maps. Opt Lasers Eng 78:17–25
Ye G, Huang X (2016) Control: A feedback chaotic image encryption scheme based on both bit-level and pixel-level. J Vib Control 22(5):1171–1180
Ye GD, Huang XL, Zhang LY, Wang ZXJCPB (2017) A self-cited pixel summation based image encryption algorithm. 26(1):131–138
Ye G, Pan C, Huang X, Qixiang M (2018) Correction to: An efficient pixel-level chaotic image encryption algorithm. Nonlinear Dyn 94:3155
Yue, Zhou, Yicong, Bao (2014) Society S.: Discrete wheel-switching chaotic system and applications. circuits, L.J.I.t.o., systems, I.R.p.a.p.o.t.I.C.
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This work is supported by Foundations of Northwest Normal University of China (No.NWNU-LKQN-17-14).
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Zhang, J., Yin, B. & Deng, X. A novel color image encryption method based on an evolved dynamic parameter-control chaotic system. Multimed Tools Appl 80, 27155–27170 (2021). https://doi.org/10.1007/s11042-021-10960-7
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DOI: https://doi.org/10.1007/s11042-021-10960-7