Abstract
In this paper, a digital image encryption scheme based on the hybrid chaotic system is proposed. A three-order Cellular Neural Network (CNN) with complex dynamical behavior and Logistic chaotic map are employed in the encryption scheme. The output sequences of two chaotic systems are combined effectively by using a special method, and a fast image encryption is realized by means of the bit-wise XOR operations. The results of the security analyses indicate that this encryption scheme not only has a large key space but also has a very sensitivity with respect to the encryption key. The encryption scheme proposed in this paper possesses perfect diffusion and confusion properties and it can resist the know-plaintext attacks and chosen-plaintext attacks.
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References
Chua, L.O., Yang, T.: Cellular Neural Network Theory. IEEE Trans. Circuits System 35, 1257–1272 (1988)
Chua, L.O., Roska, T.: The CNN Paradigm. IEEE Trans. CAS-I 40, 47–156 (1993)
Civalleri, P.P., Gilli, M.: On Dynamic Behavior of Two-cell Cellular Neural Networks. Int. J. Circ. 21, 451–471 (1993)
He, Z.Y., Zhang, Y.F., Lu, H.T.: The Dynamic Character of Cellular Neural Network with Application to Secure Communication. Journal of China Institute of Communications 20, 59–67 (1999)
Chen, G.R., Mao, Y.B., Chui, C.K.: A Symmetric Image Encryption Scheme Based on 3D Chaotic Cat Maps. Chaos, Solitons and Fractals 21, 749–761 (2004)
Shannon, C.E.: Communication Theory of Secrecy System. The Bell System Technical Journal 28, 656–715 (1949)
Kocarev, L.: Chaos-based Cryptography: A Brief Overview. IEEE Trans. on CAS-I 1, 6–21 (2001)
Diffie, W., Hellman, M.E.: New Directions in Cryptography. IEEE Trans. on Information Theory 6, 644–654 (1976)
Chang, C.C., Hwang, M.S., Chen, T.S.: A New Encryption Algorithm for Image Crypt- Systems. J System Software 58, 83–91 (2001)
Cheng, H., Li, X.B.: Partial Encryption of Compressed Images and Videos. IEEE Trans. Signal Processing 48, 2439–2451 (2000)
Fridrich, J.: Symmetric Ciphers Based on Two-dimensional Chaotic Maps. Int J. Bifurcat Chaos 8, 1259–1284 (1998)
Li, S.J., Zheng, X., Mou, X., Cai, Y.: Chaotic Encryption Scheme for Real-time Digital Video. In: Proc SPIE on Electronic Imaging, San Jose, CA, USA, pp. 4666–4667 (2002)
Scharinger, J.: Fast Encryption of Image Data Using Chaotic Kolmogorov Flows. J. Electron Imaging 7, 318–325 (1998)
Kocarev, L., Jakimovski, G.: Chaos and Cryptography: From Chaotic Maps to Encryption Algorithms. IEEE Trans. Circuit System 48, 163–169 (2001)
Mao, Y.B., Chen, G.: Chaos-based Image Encryption. Handbook of Computational Geometry for Pattern Recognition, Computer Vision, Neurocomputing and Robotics. Springer, New York (2004) (in press)
Schneier, B.: Applied Cryptography Protocols, Algorithms, and Source Code in C, 2nd edn. Wiley, New York (1995)
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Zhang, W., Peng, J., Yang, H., Wei, P. (2005). A Digital Image Encryption Scheme Based on the Hybrid of Cellular Neural Network and Logistic Map. In: Wang, J., Liao, XF., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427445_138
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DOI: https://doi.org/10.1007/11427445_138
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25913-8
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