Abstract
We propose a new class of distinguishers for differential side-channel analysis based on nonparametric statistics. As an example we use Spearman’s rank correlation coefficient. We present a comparative study of several statistical methods applied to real power measurements from an AES prototype chip to demonstrate the effectiveness of the proposed method. Our study shows that Spearman’s rank coefficient outperforms all other univariate tests under consideration. In particular we note that Pearson’s correlation coefficient requires about three times more samples for reliable key recovery than the method we propose. Further, multivariate methods with a profiling step which are commonly assumed to be the most powerful attacks are not significantly more efficient at key extraction than the attack we propose. Our results indicate that power models which are linear in the transition count are not optimal for the attacked prototype chip.
This work was supported in part by the IAP Programme P6/26 BCRYPT of the Belgian State (Belgian Science Policy), by FWO projects G.0475.05, and G.0300.07, by the European Comission through the IST Programme under Contract IST-2002-507932 ECRYPT NoE, and by the K.U. Leuven-BOF.
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References
FIPS 197: Announcing the Advanced Encryption Standard (AES) (November 2001), http://csrc.nist.gov/publications/fips/fips197/fips-197.pdf
El Aabid, M.A., Guilley, S., Hoogvorst, P.: Template Attacks with a Power Model. Cryptology ePrint Archive, Report, 2007/443 (2007), http://eprint.iacr.org/
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)
Chari, S., Rao, J.R., Rohatgi, P.: Template Attacks. In: Kaliski, B.S., Koç, Ç., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 13–28. Springer, Heidelberg (2003)
Coron, J.-S., Kocher, P.C., Naccache, D.: Statistics and secret leakage. In: Frankel, Y. (ed.) FC 2000. LNCS, vol. 1962, pp. 157–173. Springer, Heidelberg (2001)
Gandolfi, K., Mourtel, C., Olivier, F.: Electromagnetic Analysis: Concrete Results. In: Koç, Ç.K., Naccache, D., Paar, C. (eds.) CHES 2001. LNCS, vol. 2162, pp. 251–261. Springer, Heidelberg (2001)
Gierlichs, B., Batina, L., Tuyls, P., Preneel, B.: Mutual Information Analysis - A Generic Side-Channel Distinguisher. In: Oswald, E., Rohatgi, P. (eds.) CHES 2008. LNCS, vol. 5154, pp. 426–442. Springer, Heidelberg (2008)
Gierlichs, B., Lemke-Rust, K., Paar, C.: Templates vs. Stochastic Methods. In: Goubin, L., Matsui, M. (eds.) CHES 2006. LNCS, vol. 4249, pp. 15–29. Springer, Heidelberg (2006)
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)
Lehman, E.L., D’Abrera, H.J.M.: Nonparametrics: Statistical Methods Based on Ranks. Prentice-Hall, Englewood Cliffs (1998)
Mangard, S., Aigner, M., Dominikus, S.: A Highly Regular and Scalable AES Hardware Architecture. IEEE Trans. Computers 52(4), 483–491 (2003)
Mangard, S., Pramstaller, N., Oswald, E.: Successfully Attacking Masked AES Hardware Implementations. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol. 3659, pp. 157–171. Springer, Heidelberg (2005)
Messerges, T.S.: Power Analysis Attacks and Countermeasures on Cryptographic Algorithms. PhD thesis (2000)
Örs, S.B., Gürkaynak, F., Oswald, E., Preneel, B.: Power-analysis attack on an ASIC AES implementation. In: Proceedings of the International Conference on Information Technology (ITCC), Las Vegas, NV, USA, April 5-7 (2004)
Oswald, E., Mangard, S.: Template Attacks on Masking – Resistance is Futile. In: Abe, M. (ed.) CT-RSA 2007. LNCS, vol. 4377, pp. 243–256. Springer, Heidelberg (2006)
Quisquater, J.-J., Samyde, D.: ElectroMagnetic Analysis (EMA): Measures and Couter-Measures for Smard Cards. In: Attali, I., Jensen, T.P. (eds.) E-smart 2001. LNCS, vol. 2140, pp. 200–210. Springer, Heidelberg (2001)
Rechberger, C., Oswald, E.: Practical Template Attacks. In: Lim, C.H., Yung, M. (eds.) WISA 2004. LNCS, vol. 3325, pp. 440–456. Springer, Heidelberg (2005)
V. Rijmen.: Efficient Implementation of the Rijndael SBox, http://www.iaik.tugraz.at/RESEARCH/krypto/AES/old~rijmen/rijndael/sbox.pdf
Schindler, W., Lemke, K., Paar, C.: A Stochastic Model for Differential Side Channel Cryptanalysis. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol. 3659, pp. 30–46. Springer, Heidelberg (2005)
A. Shamir, E. Tromer.: Acoustic cryptanalysis, http://theory.csail.mit.edu/~tromer/acoustic/
The SCARD project, http://www.scard-project.eu/
Wolkerstorfer, J., Oswald, E., Lamberger, M.: An ASIC Implementation of the AES SBoxes. In: Preneel, B. (ed.) CT-RSA 2002. LNCS, vol. 2271, pp. 67–78. Springer, Heidelberg (2002)
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Batina, L., Gierlichs, B., Lemke-Rust, K. (2008). Comparative Evaluation of Rank Correlation Based DPA on an AES Prototype Chip. In: Wu, TC., Lei, CL., Rijmen, V., Lee, DT. (eds) Information Security. ISC 2008. Lecture Notes in Computer Science, vol 5222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85886-7_24
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DOI: https://doi.org/10.1007/978-3-540-85886-7_24
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