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Be my guess: Guessing entropy vs. success rate for evaluating side-channel attacks of secure chips

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Résumé

In a theoretical context of side-channel attacks, optimal bounds between success rate and guessing entropy are derived with a simple majorization (Schur-concavity) argument. They are further theoretically refined for different versions of the classical Hamming weight leakage model, in particular assuming apriori equiprobable secret keys and additive white Gaussian measurement noise. Closed-form expressions and numerical computation are given. A study of the impact of the choice of the substitution box with respect to side-channel resistance reveals that its nonlinearity tends to homogenize the expressivity of success rate and guessing entropy. The intriguing approximate relation GE = 1/SR is observed in the case of 8-bit bytes and low noise.
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Dates et versions

hal-03718723 , version 1 (12-08-2022)

Identifiants

  • HAL Id : hal-03718723 , version 1

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Julien Béguinot, Wei Cheng, Sylvain Guilley, Olivier Rioul. Be my guess: Guessing entropy vs. success rate for evaluating side-channel attacks of secure chips. 25th Euromicro Conference on Digital System Design (DSD 2022), Aug 2022, Maspalomas, Gran Canaria, Spain. ⟨hal-03718723⟩
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