Best information is most successful: Mutual information and success rate in side-channel analysis

Eloi de Chérisey 1, 2 Sylvain Guilley 1, 2 Pablo Piantanida 3 Olivier Rioul 4, 2
1 SSH - Secure and Safe Hardware
LTCI - Laboratoire Traitement et Communication de l'Information
4 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
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.
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https://hal.telecom-paristech.fr/hal-02287971
Contributor : Telecomparis Hal <>
Submitted on : Friday, September 13, 2019 - 5:33:11 PM
Last modification on : Monday, September 30, 2019 - 1:25:23 AM

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  • HAL Id : hal-02287971, version 1

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Eloi de Chérisey, Sylvain Guilley, Pablo Piantanida, Olivier Rioul. Best information is most successful: Mutual information and success rate in side-channel analysis. Transactions on Cryptographic Hardware and Embedded Systems (TCHES), 2019, 2019 (2), pp.49-79. ⟨hal-02287971⟩

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