Abstract
The development of masking schemes to secure AES implementations against side channel attacks is a topic of ongoing research. Many different approaches focus on the AES S-box and have been discussed in the previous years. Unfortunately, to our knowledge most of these countermeasures only address first-order DPA. In this article, we discuss the theoretical background of higher order DPA. We give the expected measurement costs an adversary has to deal with for different hardware models. Moreover, we present a masking scheme which protects an AES implementation against higher order DPA. We have implemented this masking scheme for various orders and present the corresponding performance details implementors will have to expect.
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References
Akkar, M.-L., Giraud, C.: An Implementation of DES and AES Secure against Some Attacks. In: Koç, Ç.K., Naccache, D., Paar, C. (eds.) CHES 2001. LNCS, vol. 2162, pp. 309–318. Springer, Heidelberg (2001)
Akkar, M.-L., Goubin, L.: A Generic Protection against High-Order Differential Power Analysis. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 192–205. Springer, Heidelberg (2003)
Akkar, M.-L., Bevan, R., Dischamp, P., Moyart, D.: Power Analysis, What Is Now Possible... In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 489–502. Springer, Heidelberg (2000)
Blömer, J., Guajardo, J., Krummel, V.: Provably Secure Masking of AES. In: Handschuh, H., Hasan, M.A. (eds.) SAC 2004. LNCS, vol. 3357, pp. 69–83. Springer, Heidelberg (2004)
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., Jutla, C.S., Rao, J.R., Rohatgi, P.: A Cautionary Note Regarding the Evaluation of AES Candidates on Smart Cards. In: Proceedings: Second AES Candidate Conference (AES2), Rome, Italy (March 1999)
Chari, S., Jutla, C.S., Rao, J.R., Rohatgi, P.: Towards Sound Approaches to Counteract Power-Analysis Attacks. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 398–412. Springer, Heidelberg (1999)
Clavier, C., Coron, J.-S.: On Boolean and Arithmetic Masking against Differential Power Analysis. In: Koç, Ç.K., Paar, C. (eds.) CHES 2000. LNCS, vol. 1965, pp. 231–237. Springer, Heidelberg (2000)
Courtois, N.T., Goubin, L.: An Algebraic Masking Method to Protect AES Against Power Attacks. Cryptology ePrint Archive: Report 2005/204 (2005), http://eprint.iacr.org/2005/204.pdf
Daemen, J., Rijmen, V.: The Design of Rijndael. Springer, Berlin (2002)
Golic, J.D., Tymen, C.: Multiplicative Masking and Power Analysis of AES. In: Kaliski, B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 198–212. Springer, Heidelberg (2003)
Joye, M., Paillier, P., Schoenmakers, B.: On Second-Order Differential Power Analysis. In: Rao, J.R., Sunar, B. (eds.) CHES 2005. LNCS, vol. 3659, pp. 293–308. Springer, Heidelberg (2005)
Kocher, P., Jaffe, J., Jun, B.: Differential Power Analysis: Leaking Secrets. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 388–397. Springer, Heidelberg (1999)
Lemke, K., Schramm, K., Paar, C.: DPA on n-Bit Sized Boolean and Arithmetic Operations and Its Application to IDEA, RC6 and the HMAC-Construction. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 205–219. Springer, Heidelberg (2004)
Messerges, T.S.: Securing the AES Finalists Against Power Analysis Attacks. In: Schneier, B. (ed.) FSE 2000. LNCS, vol. 1978, p. 150. Springer, Heidelberg (2001)
Messerges, T.S.: Using Second-Order Power Analysis to Attack DPA Resistant Software. In: Koç, Ç.K., Paar, C. (eds.) CHES 2000. LNCS, vol. 1965, pp. 238–251. Springer, Heidelberg (2000)
Messerges, T.S., Dabbish, E.A., Sloan, R.H.: Investigations of Power Analysis Attacks on Smartcards. In: USENIX Workshop on Smartcard Technology, pp. 151–162 (1999)
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)
Rostovtsev, A.G., Shemyakina, O.V.: AES Side Channel Attack Protection Using Random Isomorphisms. Cryptology ePrint Archive: Report 2005/087 (2005), http://eprint.iacr.org/2005/087.pdf
Trichina, E., Seta, D.S., Germani, L.: Simplified Adaptive Multiplicative Masking for AES. In: Kaliski, B.S., Koç, Ç.K., Paar, C. (eds.) CHES 2002. LNCS, vol. 2523, pp. 187–197. Springer, Heidelberg (2003)
Waddle, J., Wagner, D.: Towards Efficient Second-Order Power Analysis. In: Joye, M., Quisquater, J.-J. (eds.) CHES 2004. LNCS, vol. 3156, pp. 1–15. Springer, Heidelberg (2004)
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Schramm, K., Paar, C. (2006). Higher Order Masking of the AES. In: Pointcheval, D. (eds) Topics in Cryptology – CT-RSA 2006. CT-RSA 2006. Lecture Notes in Computer Science, vol 3860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11605805_14
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DOI: https://doi.org/10.1007/11605805_14
Publisher Name: Springer, Berlin, Heidelberg
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