Abstract
Side-channel analysis has become a very powerful tool helpful for attackers trying to recover the secrets embedded in microprocessors such as smartcards. Since the initial publications from Kocher et al. many improvements on side-channel techniques have been proposed. At the same time developers have designed countermeasures to counterfeit those threats. The challenge for securing smart devices remains rough. The most complex techniques like Differential, Correlation and Mutual-information analysis are more studied today than simple side-channel analysis which seems less considered as said less powerful. We revisit in this paper the simple side-channel analysis attacks previously published. Relying on previous leakage models we design two new methods to build chosen message which allows more efficient analysis on blinded exponentiation. We also show that, contrarily to common belief, with our chosen message method simple side-channel analysis can be successful also in some hashed message models. In a second step we introduce a more precise but realistic leakage model for hardware multipliers which leads us to new results on simple side-channel efficiency. Relying on these models we show that even with big base multipliers leakages can be exploited to recover the secret exponent on blinded exponentiations.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Avanzi, R.-M., Cohen, H., Doche, C., Frey, G., Lange, T., Nguyen, K., Verkauteren, F.: Handbook of Elliptic and Hyperelliptic Curve Cryptography (2006)
Bellare, M., Rogaway, P.: Random Oracles are Practical: A Paradigm for Designing Efficient Protocols. In: ACM Conference on Computer and Communications Security, pp. 62–73 (1993)
Bellare, M., Rogaway, P.: The Exact Security of Digital Signatures - How to Sign with RSA and Rabin. In: Maurer, U.M. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 399–416. Springer, Heidelberg (1996)
Brier, E., Clavier, C., Olivier, F.: Correlation Power Analysis with a Leakage Model. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 16–29. Springer, Heidelberg (2004)
Chevallier-Mames, B., Ciet, M., Joye, M.: Low-Cost Solutions for Preventing Simple Side-Channel Analysis: Side-Channel Atomicity. IEEE Transactions on Computers 53(6), 760–768 (2004)
Clavier, C., Feix, B.: Updated recommendations for blinded exponentiation vs. single trace analysis - extended version. IACR Cryptology ePrint Archive (2013)
Coron, J.-S.: Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems. In: Koç, Ç.K., Paar, C. (eds.) CHES 1999. LNCS, vol. 1717, pp. 292–302. Springer, Heidelberg (1999)
Coron, J.-S.: Optimal Security Proofs for PSS and Other Signature Schemes. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 272–287. Springer, Heidelberg (2002)
Courrège, J.-C., Feix, B., Roussellet, M.: Simple Power Analysis on Exponentiation Revisited. In: Gollmann, D., Lanet, J.-L., Iguchi-Cartigny, J. (eds.) CARDIS 2010. LNCS, vol. 6035, pp. 65–79. Springer, Heidelberg (2010)
Dhem, J.-F.: Design of an efficient public-key cryptographic library for RISC-based smart cards. PhD thesis, Université catholique de Louvain, Louvain (1998)
Diffie, W., Hellman, M.E.: New Directions in Cryptography. IEEE Transactions on Information Theory 22(6), 644–654 (1976)
Dupaquis, V., Venelli, A.: Redundant modular reduction algorithms. In: Prouff, E. (ed.) CARDIS 2011. LNCS, vol. 7079, pp. 102–114. Springer, Heidelberg (2011)
Fouque, P.-A., Valette, F.: The doubling attack – why upwards is better than downwards. In: Walter, C.D., Koç, Ç.K., Paar, C. (eds.) CHES 2003. LNCS, vol. 2779, pp. 269–280. Springer, Heidelberg (2003)
Gierlichs, B., Batina, L., Tuyls, P., Preneel, B.: Mutual Information Analysis. In: Oswald, E., Rohatgi, P. (eds.) CHES 2008. LNCS, vol. 5154, pp. 426–442. Springer, Heidelberg (2008)
Goubin, L.: A refined power-analysis attack on elliptic curve cryptosystems. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 199–210. Springer, Heidelberg (2002)
Joye, M., Yen, S.-M.: The Montgomery Powering Ladder. In: Kaliski Jr., B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 291–302. Springer, Heidelberg (2003)
Joye, M.: Highly regular m-ary powering ladders, pp. 135–147
Joye, M.: Protecting RSA against fault attacks: The embedding method. In: Breveglieri, L., Koren, I., Naccache, D., Oswald, E., Seifert, J.-P. (eds.) Sixth International Workshop on Fault Diagnosis and Tolerance in Cryptography, FDTC 2009, pp. 41–45. IEEE Computer Society (2009)
Kocher, P.C.: Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems. In: Koblitz, N. (ed.) CRYPTO 1996. LNCS, vol. 1109, pp. 104–113. Springer, Heidelberg (1996)
Kocher, P.C., Jaffe, J., Jun, B.: Differential Power Analysis. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 388–397. Springer, Heidelberg (1999)
Mayer Sommer, R.: Smartly Analyzing the Simplicity and the Power of Simple Power Analysis on Smartcards, pp. 78–92
Menezes, A., van Oorschot, P.C., Vanstone, S.A.: Handbook of Applied Cryptography. CRC Press (1996)
Prouff, E., Rivain, M.: Theoretical and Practical Aspects of Mutual Information Based Side Channel Analysis. In: Abdalla, M., Pointcheval, D., Fouque, P.-A., Vergnaud, D. (eds.) ACNS 2009. LNCS, vol. 5536, pp. 499–518. Springer, Heidelberg (2009)
Rivest, R.L., Shamir, A., Adleman, L.: A Method for Obtaining Digital Signatures and Public-Key Cryptosystems. Communications of the ACM 21, 120–126 (1978)
Standaert, F.-X., Gierlichs, B., Verbauwhede, I.: Partition vs. Comparison Side-Channel Distinguishers: An Empirical Evaluation of Statistical Tests for Univariate Side-Channel Attacks against Two Unprotected CMOS Devices. In: Lee, P.J., Cheon, J.H. (eds.) ICISC 2008. LNCS, vol. 5461, pp. 253–267. Springer, Heidelberg (2009)
Yen, S.-M., Lien, W.-C., Moon, S.-J., Ha, J.C.: Power Analysis by Exploiting Chosen Message and Internal Collisions – Vulnerability of Checking Mechanism for RSA-Decryption. In: Dawson, E., Vaudenay, S. (eds.) Mycrypt 2005. LNCS, vol. 3715, pp. 183–195. Springer, Heidelberg (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Clavier, C., Feix, B. (2013). Updated Recommendations for Blinded Exponentiation vs. Single Trace Analysis. In: Prouff, E. (eds) Constructive Side-Channel Analysis and Secure Design. COSADE 2013. Lecture Notes in Computer Science, vol 7864. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40026-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-40026-1_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40025-4
Online ISBN: 978-3-642-40026-1
eBook Packages: Computer ScienceComputer Science (R0)