Abstract
The XSL attack when applied on BES-128 has been shown to have an attack complexity of 2100, which is faster than exhaustive search. However at FSE 2007, Lim and Khoo analyzed the eprint XSL attack on BES and showed that the attack complexity should be 2401. Later at IEEE-YCS 2008, Qu and Liu counter-proposed that the compact XSL attack on BES-128 works and has complexity 297. In this paper, we point out some errors in the attack of Qu and Liu. We also show that the complexity of the compact XSL attack on BES-128 is at least 2209.15. At Indocrypt 2007, Ji and Hu claimed that the eprint XSL attack on ESMS4 has complexity 277. By the same method we used to analyze BES, we also show that the complexity of compact XSL attack on ESMS4 is at least 2216.58. Our analysis adapts the approach of Lim and Khoo to the compact XSL attack, and improves on it by considering the T ′ method that grows the number of equations.
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Cid, C., Leurent, G.: An Analysis of the XSL Algorithm. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 333–352. Springer, Heidelberg (2005)
Courtois, N., Klimov, A., Patarin, J., Shamir, A.: Efficient Algorithms for Solving Systems of Multivariate Polynomial Equations. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 392–407. Springer, Heidelberg (2000)
Courtois, N., Pieprzyk, J.: Cryptanalysis of Block Ciphers with Overdefined Systems of Equations, IACR eprint server 2002/044 (March 2002), http://www.iacr.org
Courtois, N., Pieprzyk, J.: Cryptanalysis of Block Ciphers with Overdefined Systems of Equations. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 267–287. Springer, Heidelberg (2002)
Ji, W., Hu, L.: New Description of SMS4 by an Embedding over GF(28). In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 238–251. Springer, Heidelberg (2007)
Lim, C.-W., Khoo, K.: An Analysis of XSL Applied to BES. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 242–253. Springer, Heidelberg (2007)
Murphy, S., Robshaw, M.: Essential Algebraic Structure Within the AES. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 1–16. Springer, Heidelberg (2002)
Murphy, S., Robshaw, M.: Comments on the Security of the AES and the XSL Technique. Electronic Letters 39, 26–38 (2003)
Qu, B., Liu, L.: An XSL Analysis on BES. In: Proceedings of the 9th International Conference for Young Computer Scientist, pp. 1418–1423. IEEE Press, Los Alamitos
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Choy, J., Yap, H., Khoo, K. (2009). An Analysis of the Compact XSL Attack on BES and Embedded SMS4. In: Garay, J.A., Miyaji, A., Otsuka, A. (eds) Cryptology and Network Security. CANS 2009. Lecture Notes in Computer Science, vol 5888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10433-6_8
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DOI: https://doi.org/10.1007/978-3-642-10433-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10432-9
Online ISBN: 978-3-642-10433-6
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