Abstract
In this paper, a cryptanalysis on the Self-Shrinking Generator a well known sequence generator with cryptographic application is presented. An improvement in the Guess-and-Determine cryptanalytic technique has been proposed. Numerical results that improve other cryptanalysis developed on such a generator are given. In particular, complexities in the order of O(20.2L) for the amount of intercepted sequence, O(L 2) for computer memory and O(20.5L) for execution time (L being the length of the generator register) are obtained. In addition, a specific hardware for a practical cryptanalysis has been proposed.
This work was supported in part by CDTI (Spain) and the companies INDRA, Unión Fenosa, Tecnobit, Visual Tools, Brainstorm, SAC and Technosafe under Project Cenit-HESPERIA; by Ministry of Science and Innovation and European FEDER Fund under Project TIN2008-02236/TSI.
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References
Bluetooth, Specifications of the Bluetooth system, Version 1.1, http://www.bluetooth.com/
Coppersmith, D., Krawczyk, H., Mansour, Y.: The Shrinking Generator. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 22–39. Springer, Heidelberg (1994)
Fúster-Sabater, A.: Run Distribution in Nonlinear Binary Generators. Applied Mathematics Letters 17(12), 1427–1432 (2004)
Fúster-Sabater, A., Caballero-Gil, P.: Strategic Attack on the Shrinking Generator. Theoretical Computer Science 409(3), 530–536 (2008)
Fúster-Sabater, A., Caballero-Gil, P., Delgado-Mohatar, O.: Deterministic Computation of Pseudorandomness in Sequences of Cryptographic Application. In: Allen, G., Nabrzyski, J., Seidel, E., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2009. LNCS, vol. 5544, pp. 621–630. Springer, Heidelberg (2009)
Golomb, S.W.: Shift Register-Sequences. Aegean Park Press, Laguna Hill (1982)
GSM, Global Systems for Mobile Communications, http://cryptome.org/gsm-a512.htm
Hellman, M.: A Cryptanalytic Time-Memory Trade-Off. IEEE Trans. Informat. Theory 26(4), 234–247 (1980)
Hu, Y., Xiao, G.: Generalized Self-Shrinking Generator. IEEE Trans. Inform. Theory 50, 714–719 (2004)
Meier, W., Staffelbach, O.: The Self-shrinking Generator. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 205–214. Springer, Heidelberg (1995)
Menezes, A.J., et al.: Handbook of Applied Cryptography. CRC Press, New York (1997)
Mihaljevic, M.J.: A Faster Cryptanalysis of the Self-Shrinking Generator. In: Pieprzyk, J.P., Seberry, J. (eds.) ACISP 1996. LNCS, vol. 1172, pp. 182–189. Springer, Heidelberg (1996)
Rivest, R.L.: The RC4 Encryption Algorithm. RSA Data Sec., Inc. (March 1998)
Stork Project, http://www.stork.eu.org/documents/RUB-D6-2-1.pdf
Xilinx, http://www.xilinx.com 11. National Instruments, http://www.ni.com/pdf/products/us/cat-flexriofpga.pdf
Zhang, B., Feng, D.: New Guess-and-Determine Attack on the Self-Shrinking Generator. In: Lai, X., Chen, K. (eds.) ASIACRYPT 2006. LNCS, vol. 4284, pp. 54–68. Springer, Heidelberg (2006)
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Pazo-Robles, M.E., Fúster-Sabater, A. (2011). Cryptanalytic Attack on the Self-Shrinking Sequence Generator. In: Dobnikar, A., Lotrič, U., Šter, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2011. Lecture Notes in Computer Science, vol 6594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20267-4_30
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DOI: https://doi.org/10.1007/978-3-642-20267-4_30
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