Cryptology ePrint Archive: Report 2019/491

Best Information is Most Successful

Eloi de Cherisey and Sylvain Guilley and Olivier Rioul and Pablo Piantanida

Abstract: Using information-theoretic tools, this paper establishes a mathematical link between the probability of success of a side-channel attack and the minimum number of queries to reach a given success rate, valid for any possible distinguishing rule and with the best possible knowledge on the attacker's side. This link is a lower bound on the number of queries highly depends on Shannon's mutual information between the traces and the secret key. This leads us to derive upper bounds on the mutual information that are as tight as possible and can be easily calculated. It turns out that, in the case of an additive white Gaussian noise, the bound on the probability of success of any attack is directly related to the signal to noise ratio. This leads to very easy computations and predictions of the success rate in any leakage model.

Category / Keywords: implementation / Side-Channel Analysis, Information Theory, Guessing Entropy, Success Rate.

Date: received 13 May 2019, last revised 13 May 2019

Contact author: sylvain guilley at secure-ic com

Available format(s): PDF | BibTeX Citation

Note: The Figure 8 has been updated to reflect the best bound from "Alexandre Duc, Sebastian Faust, and François-Xavier Standaert. Making Masking Security Proofs Concrete - Or How to Evaluate the Security of Any Leaking Device. In Elisabeth Oswald and Marc Fischlin, editors, Advances in Cryptology - EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Sofia, Bulgaria, April 26-30, 2015, Proceedings, Part I, volume 9056 of Lecture Notes in Computer Science, pages 401–429. Springer, 2015."

Version: 20190520:112157 (All versions of this report)

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