Abstract
In 1999, Guo et al. proposed a new probabilistic symmetric probabilistic encryption scheme based on chaotic attractors of neural networks. The scheme is based on chaotic properties of the Overstoraged Hopfield Neural Network (OHNN). The approach bridges the relationship between neural network and cryptography. However, there are some problems in their scheme: (1) exhaustive search is needed to find all the attractors; (2) the data expansion in the paper is wrongly derived; (3) problem exists on creating the synaptic weight matrix. In this letter, we propose a symmetric probabilistic encryption scheme based on Clipped Hopfield Neural Network (CHNN), which solves the above mentioned problems. Furthermore, it keeps the length of the ciphertext equals to that of the plaintext.
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Guo D.H., Cheng L.M., Cheng L.L. (1999). A new symmetric probabilistic encryption scheme based on chaotic attractors of neural networks. Applied Intelligence 10(1):71–84
Hopfield J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America-Biological Sciences 79(8):2554–2558
Gardner E. (1987). Maximum storage capacity in neural networks. Europhysics Letters 4(4):481–485
Amit D., Gutfreund H., Sompolinsky H. (1987). Statistical-mechanics of neural networks near saturation. Annals of Physics 173(1): 30–67
Chan C.K., Cheng L.M. (2001). The convergence properties of a clipped Hopfield and its application in the design of keystream generator. IEEE Transactions on Neural Networks 12(2):340–348
McCulloch R., Pitts W. (1943). A logical calculus of the ideas immanet in nervous activity. Bulletin Mathematics Biophysics 5:115–133
Rivest R., Shamir A., Adleman L. (1978). Method for obtaining digital signatures and cryptosystems. Communications of the ACM 21(2):120–126
Paper, C. W.: Current public key cryptographic systems, http://www.certicom.com/ ecc/wecc2.htm, (1997).
Golomb S.W. (1967). Shift Register Sequences. Holden-Day, San Francisco, CA
Rueppel R. (1986). Linear complexity and random sequences. Lecture Notes in Computer Science 219:167–188
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Leung, K.C., Li, S.L., Cheng, L.M. et al. A Symmetric Probabilistic Encryption Scheme Based On CHNN Without Data Expansion. Neural Process Lett 24, 93–105 (2006). https://doi.org/10.1007/s11063-006-9006-9
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DOI: https://doi.org/10.1007/s11063-006-9006-9