Abstract
The chain-like structure is used in most known Hash functions, which is not suitable for digital images. A new structure is adopted to design an image hash function based on the HPP model, a model originally aiming to simulate fluid flows, and impressive for its simplicity, 2D structure, and its ability to support parallel computing. In order to fulfill security requirements of a cryptographic hash function, the HPP model is generalized by combining the original model with a nonlinear substitution operation. Computer simulations and theoretical analyses demonstrate that this generalized model possesses satisfactory properties of randomness and sensitivity for hash functions.
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Wang, X.Y., Yu, H.B.: How to break MD5 and other hash functions. In: Cramer, R. (ed.) Advances in Cryptology—Eurocrypt 2005, Proceedings. Lecture Notes in Computer Science, vol. 3494, pp. 19–35. Springer, Berlin (2005)
Wang, X.Y., Yang, L., Liu, R., Kadir, A.: A chaotic image encryption algorithm based on perceptron model. Nonlinear Dyn. 62(3), 615–621 (2010). doi:10.1007/s11071-010-9749-8
Yi, X.: Hash function based on chaotic tent maps. IEEE Trans. Circuits Syst. II, Express Briefs 52(6), 354–357 (2005). doi:10.1109/tcsii.2005.848992
Zhang, J.S., Wang, X.M., Zhang, W.F.: Chaotic keyed hash function based on feedforward-feedback nonlinear digital filter. Phys. Lett. A 362(5–6), 439–448 (2007). doi:10.1016/j.physleta.2006.10.052
Xiao, D., Liao, X.F., Wang, Y.: Parallel keyed hash function construction based on chaotic neural network. Neurocomputing 72(10–12), 2288–2296 (2009). doi:10.1016/j.neucom.2008.12.031
Hardy, J., Pazzis, O., Pomeau, Y.: Molecular dynamics of a classical lattice gas: transport properties and time correlation functions. Phys. Rev. A 13(5), 1949–1961 (1976)
The USC-SIPI Image Database: Signal and Image Processing. Institute of the University of Southern California. http://sipi.usc.edu/database/ (1977)
Announcing the Advanced Encryption Standard (AES): In: FIPS PUBS 197. National Institute of Standards and Technology (2001)
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Zhou, Q., Liao, X. & Liu, J. Design of image Hash functions based on fluid dynamics model. Nonlinear Dyn 67, 1837–1845 (2012). https://doi.org/10.1007/s11071-011-0110-7
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DOI: https://doi.org/10.1007/s11071-011-0110-7