Abstract
This paper proposed an efficient confusion–diffusion chaotic image cryptosystem based on a modified Standard chaotic map. The proposed chaotic image cryptosystem employed image confusion and pixel diffusion in two phases. In the first phase, the plain image is shuffled by a modification of Standard chaotic map for n rounds. In the second phase, the shuffled image is diffused by Henon chaotic map. Then, the overall process is repeated m rounds. Comparison between Standard map and the proposed modification is held to prove the effectiveness of the proposed chaotic image cryptosystem. The experimental results show that the proposed chaotic image cryptosystem can successfully encrypt/decrypt images with the same secret keys with good encryption effect and large key space. Moreover, the simulation analysis demonstrates that the encrypted images have good information entropy and very low correlation coefficients, and the distribution of the gray values in the encrypted image has random-like behavior.
Similar content being viewed by others
References
Chen, G., Mao, Y., Chui, C.K.: A symmetric image encryption scheme based on 3D chaotic Cat maps. Chaos Solitons Fractals 21, 749–761 (2004)
Peterson, G.: Arnold’s cat map. Math Linear Algebra (1997)
Gao, H., Zhang, Y., Liang, S., Li, D.: A new chaotic algorithm for image encryption. Chaos Solutions Fractals 29, 393–399 (2006)
Kwok, H.S., Tang, K.S.: A fast image encryption system based on chaotic maps with finite precision representation. Chaos Solitons Fractals 32(4), 1518–1529 (2007)
Nien, H.H., Huang, C.K., et al.: Digital color image encoding and decoding using a novel chaotic random generator. Chaos Solitons Fractals 32, 1070–1080 (2007)
Pareek, N.K., Patidar, V., Sud, K.K.: Image encryption using chaotic logistic map. Image Vis. Comput. 24, 926–934 (2006)
Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurc. Chaos 8(6), 1259–1284 (1998)
Ahmed, H.E.H., Kalash, H.M., Faragallah, O.S.: An efficient chaos-based feedback stream cipher (ECBFSC) for image encryption and decryption. Int. J. Comput. Inform. 31(1), 121–129 (2007)
Zhang, X., Chen, W.: A new chaotic algorithm for image encryption. In: Proceedings of the International Conference on Audio Language and Image processing (2008)
Lian, S., Sun, G., Wang, Z.: A block cipher based on a suitable use of chaotic standard map. Chaos Solutions Fractals 26, 117–129 (2005)
Lian, S., Sun, J., Wang, Z.: Security analysis of a chaos-based image encryption algorithm. Phys. Lett. A 351, 645–661 (2005)
Wong, K.W., Kwok, B.S.H., Law, W.S.: A fast image encryption scheme based on chaotic standard map. Phys. Lett. A 372(15), 2645–2652 (2008)
Rafikov, M., Balthazar, J.M.: On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Commun. Nonlinear Sci. Numer. Simul. 13(7), 1246–1255 (2008)
Grzybowski, J.M.V., Rafikov, M., Balthazar, J.M.: Synchronization of the unified chaotic system and application in secure communication. Commun. Nonlinear Sci. Numer. Simul. 14(6), 2793–2806 (2009)
Amin, M., Faragallah, O.S., Abd El-Latif, A.A.: A chaotic block cipher algorithm for image cryptosystems. Commun. Nonlinear Sci. Numer. Simul. 15(1), 3484–3497 (2010)
Faragallah, O.S.: Digital image encryption based on the RC5 block cipher algorithm. Sens. Imaging Int. J. 12(3), 73–94 (2011)
Elshamy, A.M., Rashed, A.N.Z., Mohamed, A.E.N.A., Faragallah, O.S., Mu, Y., Alshebeili, S.A., Abd El-Samie, F.E.: Optical image encryption based on chaotic baker map and double random phase encoding, IEEE/OSA. J. Lightwave Technol. 31(15), 2533–2539 (2013)
Faragallah, O.S.: An enhanced chaotic key-based RC5 block cipher adapted to image encryption. Int. J. Electron. 99(7), 925–943 (2012)
Elhoseny, H.M., Ahmed, H.E.H., Abbas, A.M., Kazemian, H.B., Faragallah, O.S., El-Rabaie, S.M., Abd El-Samie, F.E.: Chaotic encryption of images in the fractional Fourier transform domain using different modes of operation. Signal Image Video Process. J. doi:10.1007/s11760-013-0490-x (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Faragallah, O.S. Efficient confusion–diffusion chaotic image cryptosystem using enhanced standard map. SIViP 9, 1917–1926 (2015). https://doi.org/10.1007/s11760-014-0683-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-014-0683-y