Abstract
Currently, the only plausible attack on the Advanced Encryption System (AES) is the XSL attack over F 256 through the Big Encryption System (BES) embedding. In this paper, we give an analysis of the XSL attack when applied to BES and conclude that the complexity estimate is too optimistic. For example, the complexity of XSL on BES-128 should be at least 2401 instead of the value of 287 from current literature. Our analysis applies to the eprint version of the XSL attack, which is different from the compact XSL attack studied by Cid and Leurent at Asiacrypt 2005. Moreover, we study the attack on the BES embedding of AES, while Cid and Leurent studies the attack on AES itself. Thus our analysis can be considered as a parallel work, which together with Cid and Leurent’s study, disproves the effectiveness of both versions of the XSL attack against AES.
Keywords
References
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)
Montgomery, P.L.: A Block Lanczos Algorithm for Finding Linear Dependencies over GF(2). In: Guillou, L.C., Quisquater, J.-J. (eds.) EUROCRYPT 1995. LNCS, vol. 921, pp. 106–120. Springer, Heidelberg (1995)
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)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lim, CW., Khoo, K. (2007). An Analysis of XSL Applied to BES. In: Biryukov, A. (eds) Fast Software Encryption. FSE 2007. Lecture Notes in Computer Science, vol 4593. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74619-5_16
Download citation
DOI: https://doi.org/10.1007/978-3-540-74619-5_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74617-1
Online ISBN: 978-3-540-74619-5
eBook Packages: Computer ScienceComputer Science (R0)