Abstract
Algebraic side-channel attacks have been recently introduced as a powerful cryptanalysis technique against block ciphers. These attacks represent both a target algorithm and its physical information leakages as an overdefined system of equations that the adversary tries to solve. They were first applied to PRESENT because of its simple algebraic structure. In this paper, we investigate the extent to which they can be exploited against the AES Rijndael and discuss their practical specificities. We show experimentally that most of the intuitions that hold for PRESENT can also be observed for an unprotected implementation of Rijndael in an 8-bit controller. Namely, algebraic side-channel attacks can recover the AES master key with the observation of a single encrypted plaintext and they easily deal with unknown plaintexts/ciphertexts in this context. Because these attacks can take advantage of the physical information corresponding to all the cipher rounds, they imply that one cannot trade speed for code size (or gate count) without affecting the physical security of a leaking device. In other words, more intermediate computations inevitably leads to more exploitable leakages. We analyze the consequences of this observation on two different masking schemes and discuss its impact on other countermeasures. Our results exhibit that algebraic techniques lead to a new understanding of implementation weaknesses that is different than classical side-channel attacks.
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References
Bard, G., Courtois, N., Jefferson, C.: Efficient Methods for Conversion and Solution of Sparse Systems of Low-Degree Multivariate Polynomials over GF(2) via SAT-Solvers, Cryptology ePrint Archive, Report 2007/024
Biryukov, A., De Cannière, C.: Block Ciphers and Systems of Quadratic Equations. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 274–289. Springer, Heidelberg (2003)
Biryukov, A., Khovratovich, D.: Two New Techniques of Side-Channel Cryptanalysis. In: Paillier, P., Verbauwhede, I. (eds.) CHES 2007. LNCS, vol. 4727, pp. 195–208. Springer, Heidelberg (2007)
Bogdanov, A.: Improved Side-Channel Collision Attacks on AES. In: Adams, C., Miri, A., Wiener, M. (eds.) SAC 2007. LNCS, vol. 4876, pp. 84–95. Springer, Heidelberg (2007)
Bogdanov, A., Kizhvatov, I., Pyshkin, A.: Algebraic Methods in Side-Channel Collision Attacks and Practical Collision Detection. In: Chowdhury, D.R., Rijmen, V., Das, A. (eds.) INDOCRYPT 2008. LNCS, vol. 5365, pp. 251–265. Springer, Heidelberg (2008)
Buchmann, J., Pyshkin, A., Weinmann, R.-P.: Block Ciphers Sensitive to Gröbner Basis Attacks. In: Pointcheval, D. (ed.) CT-RSA 2006. LNCS, vol. 3860, pp. 313–331. Springer, Heidelberg (2006)
Carlier, V., Chabanne, H., Dottax, E., Pelletier, H.: Generalizing Square Attack using Side-Channels of an AES Implementation on an FPGA. In: The proceedings of FPL 2005, Tampere, Finland, August 2005, pp. 433–437 (2005)
Chari, S., Rao, J., Rohatgi, P.: Template Attacks. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 13–28. Springer, Heidelberg (2003)
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)
Courtois, N., Bard, G.: Algebraic Cryptanalysis of the Data Encryption Standard. In: Galbraith, S.D. (ed.) Cryptography and Coding 2007. LNCS, vol. 4887, pp. 274–289. Springer, Heidelberg (2007)
Faugère, J.-C.: Groebner Bases. In: Applications in Cryptology, FSE 2007, Invited Talk (2007), http://fse2007.uni.lu/slides/faugere.pdf
FIPS 197, “Advanced Encryption Standard,” Federal Information Processing Standard, NIST, U.S. Dept. of Commerce, November 26 (2001)
Gu, J., Purdom, P.W., Franco, J., Wah, B.: Algorithms for the Satisfiability problem: a survey. DIMACS Series on Discrete Mathematics and Theoretical Computer Science, vol. 35, pp. 19–151. American Mathematical Society, Providence (1997)
Handschuh, H., Preneel, B.: Blind Differential Cryptanalysis for Enhanced Power Attacks. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, vol. 4356, pp. 163–173. Springer, Heidelberg (2007)
Herbst, C., Oswald, E., Mangard, S.: An AES Smart Card Implementation Resistant to Power Analysis Attacks. In: Zhou, J., Yung, M., Bao, F. (eds.) ACNS 2006. LNCS, vol. 3989, pp. 239–252. Springer, Heidelberg (2006)
Kocher, P., Jaffe, J., Jun, B.: Differential Power Analysis. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 398–412. Springer, Heidelberg (1999)
Ledig, H., Muller, F., Valette, F.: Enhancing Collision Attacks. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 176–190. Springer, Heidelberg (2004)
Mangard, S.: A Simple Power-Analysis (SPA) Attackon Implementations of the AES Key Expansion. In: Lee, P.J., Lim, C.H. (eds.) ICISC 2002. LNCS, vol. 2587, pp. 343–358. Springer, Heidelberg (2003)
Oswald, E., Schramm, K.: An Efficient Masking Scheme for AES Software Implementations. In: Song, J.-S., Kwon, T., Yung, M. (eds.) WISA 2005. LNCS, vol. 3786, pp. 292–305. Springer, Heidelberg (2006)
Petit, C., Standaert, F.-X., Pereira, O., Malkin, T.G., Yung, M.: A Block Cipher based PRNG Secure Against Side-Channel Key Recovery. In: The proceedings of ASIACCS 2008, Tokyo, Japan, March 2008, pp. 56–65 (2008)
Pietrzak, K.: A Leakage-Resilient Mode of Operation. In: Joux, A. (ed.) Eurocrypt 2009. LNCS, vol. 5479, pp. 462–482. Springer, Heidelberg (2009)
Renauld, M., Standaert, F.-X.: Algebraic Side-Channel Attacks, Cryptology ePrint Archive, report 2009/179, http://eprint.iacr.org/2009/279
Schramm, K., Wollinger, T.J., Paar, C.: A New Class of Collision Attacks and Its Application to DES. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 206–222. Springer, Heidelberg (2003)
Schramm, K., Leander, G., Felke, P., Paar, C.: A Collision-Attack on AES: Combining Side Channel and Differential Attack. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 163–175. Springer, Heidelberg (2004)
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Renauld, M., Standaert, FX., Veyrat-Charvillon, N. (2009). Algebraic Side-Channel Attacks on the AES: Why Time also Matters in DPA. In: Clavier, C., Gaj, K. (eds) Cryptographic Hardware and Embedded Systems - CHES 2009. CHES 2009. Lecture Notes in Computer Science, vol 5747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04138-9_8
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DOI: https://doi.org/10.1007/978-3-642-04138-9_8
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