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Efficient image encryption with block shuffling and chaotic map


Image encryption is a useful technique for many applications, such as image content protection, image authentication, pay-TV and data hiding. In this paper, we propose an efficient image encryption algorithm with block shuffling and chaotic map. The proposed algorithm divides an input image into overlapping blocks, shuffles image blocks to make initial encryption, exploits a chaotic map and Arnold transform to generate secret matrices, and achieves final encryption by conducting exclusive OR operations between corresponding elements of each block and a random secret matrix. Many experiments are done to validate efficiency and advantages of the proposed algorithm.

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  1. 1.

    Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems. Int J Bifurcation Chaos 16(8):2129–2151

    MATH  MathSciNet  Article  Google Scholar 

  2. 2.

    Ginesu G, Giusto DD, Onali T (2006) Wavelet domain scrambling for image-based authentication. In: Proc. of International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 313–316

  3. 3.

    Hermassi H, Belazi A, Rhouma R, Belghith SM (2013) Security analysis of an image encryption algorithm based on a DNA addition combining with chaotic maps. Multimed Tools Appl. doi:10.1007/s11042-013-1533-6

    Google Scholar 

  4. 4.

    Monga V, Evans BL (2006) Perceptual image hashing via feature points: performance evaluation and tradeoffs. IEEE Trans Image Proc 15(11):3452–3465

    Article  Google Scholar 

  5. 5.

    Pareek NK, Patidar V, Sud KK (2006) Image encryption using chaotic logistic map. Image Vision Comput 24(9):926–934

    Article  Google Scholar 

  6. 6.

    Patidar V, Pareek NK, Purohit G, Sud KK (2011) Robust and secure chaotic standard map based pseudorandom permutation-substitution scheme for image encryption. Opt Commun 284(19):4331–4339

    Article  Google Scholar 

  7. 7.

    Qi D (1999) Matrix transformation and its application to image hiding. J North China Univ Technol 11(1):24–28 (in Chinese)

    Google Scholar 

  8. 8.

    Qin C, Wang Z, Chang CC (2012) Reversible data hiding scheme based on image inpainting. Fundam Informaticae 120(1):59–70

    MathSciNet  Google Scholar 

  9. 9.

    Shang Z, Ren H, Zhang J (2008) A block location scrambling algorithm of digital image based on Arnold transformation. In: Proc. of the 9th International Conference for Young Computer Scientists, pp. 2942–2947

  10. 10.

    Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27(3):379–423, 623–656

    MATH  MathSciNet  Article  Google Scholar 

  11. 11.

    Sun F, Lü Z, Liu S (2010) A new cryptosystem based on spatial chaotic system. Opt Commun 283(10):2066–2073

    Article  Google Scholar 

  12. 12.

    Tang Z, Huang L, Dai Y, Yang F (2012) Robust image hashing based on multiple histograms. Int J Digit Content Technol Appl 6(23):39–47

    Article  Google Scholar 

  13. 13.

    Tang Z, Lan W, Dai Y, He J (2011) Image encryption using mapping array and random division. ICIC Express Lett Part B Appl 2(6):1297–1302

    Google Scholar 

  14. 14.

    Tang Z, Wang S, Zhang X, Wei W, Su S (2008) Robust image hashing for tamper detection using nonnegative matrix factorization. J Ubiquit Converg Technol 2(1):18–26

    Google Scholar 

  15. 15.

    Tang Z, Zhang X (2011) Secure image encryption without size limitation using Arnold transform and random strategies. J Multimed 6(2):202–206

    Article  Google Scholar 

  16. 16.

    Tang Z, Zhang X, Dai Y, Lan W (2013) Perceptual image hashing using local entropies and DWT. Imaging Sci J 61(2):241–251

    Article  Google Scholar 

  17. 17.

    The SSIM Index for Image Quality Assessment. [Online] Available:

  18. 18.

    USC-SIPI Image Database. [Online] Available:

  19. 19.

    Van De Ville D, Philips W, Van de Walle R, Lemanhieu I (2004) Image scrambling without bandwidth expansion. IEEE Trans Circ Syst Video Technol 14(6):892–897

    Article  Google Scholar 

  20. 20.

    Venkatesan R, Koon S M, Jakubowski M H, Moulin P (2000) Robust image hashing. In: Proc. of International Conference on Image Processing (ICIP), pp. 664–666

  21. 21.

    Wang Z, Bovik AC, Sheikh HR, Simoncelli EP (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Proc 13(4):600–612

    Article  Google Scholar 

  22. 22.

    Wang Q, Guo Q, Zhou J (2012) Double image encryption based on linear blend operation and random phase encoding in fractional Fourier domain. Opt Commun 285(21–22):4317–4323

    Article  Google Scholar 

  23. 23.

    Watanabe O, Nakazaki A, Kiya H (2004) A fast image-scramble method using public-key encryption allowing backward compatibility with JPEG2000. In: Proc. of International Conference on Image Processing (ICIP), pp. 3435–3438

  24. 24.

    Wu Y, Zhou Y, Saveriades G, Agaian S, Noonan JP (2013) Local Shannon entropy measure with statistical tests for image randomness. Inf Sci 222:323–342

    MATH  MathSciNet  Article  Google Scholar 

  25. 25.

    Xiang S, Kim H J, Huang J (2007) Histogram-based image hashing scheme robust against geometric deformations. In: Proceedings of the 9th Workshop on Multimedia & Security, ACM, New York, NY, USA, pp. 121–128

  26. 26.

    Zhang G, Liu Q (2011) A novel image encryption method based on total shuffling scheme. Opt Commun 284(12):2775–2780

    Article  Google Scholar 

  27. 27.

    Zhou Y, Panetta K, Agaian S, Philip Chen CL (2012) Image encryption using P-Fibonacci transform and decomposition. Opt Commun 285(5):594–608

    Article  Google Scholar 

  28. 28.

    Zhu L, Li W, Liao L, Li H (2006) A novel algorithm for scrambling digital image based on cat chaotic mapping. In: Proc. of International Conference on Intelligent Information Hiding and Multimedia, Signal Processing (IIH-MSP), pp. 601–604

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The authors are grateful for the anonymous reviewers’ insightful comments and valuable suggestions sincerely, which can substantially improve the quality of this paper.

This work was partially supported by the Natural Science Foundation of China (61300109, 61363034), the Guangxi Natural Science Foundation (2012GXNSFBA053166, 2012GXNSFGA060004, 2011GXNSFD018026), the Guangxi “Bagui” Teams for Innovation and Research, the Training Project for Excellent Middle-aged/Young Teachers in Guangxi Higher Education Institutions, the Project of the Guangxi Experiment Center of Information Science (20130204), the Guangxi Key Laboratory of Trusted Software (kx201327), the Scientific and Technological Research Projects of Chongqing’s Education Commission (KJ121310), and the Scientific and Technological Program of Fuling District of Chongqing (FLKJ,2012ABA1056).

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Correspondence to Zhenjun Tang.

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Tang, Z., Zhang, X. & Lan, W. Efficient image encryption with block shuffling and chaotic map. Multimed Tools Appl 74, 5429–5448 (2015).

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  • Image encryption
  • Image scrambling
  • Arnold transform
  • Block shuffling
  • Chaotic map
  • Skew tent map