Cryptology ePrint Archive: Report 2016/719

Bridging the Gap: Advanced Tools for Side-Channel Leakage Estimation beyond Gaussian Templates and Histograms

Tobias Schneider and Amir Moradi and François-Xavier Standaert and Tim Güneysu

Abstract: The accuracy and the fast convergence of a leakage model are both essential components for the efficiency of side-channel analysis. Thus for efficient leakage estimation an evaluator is requested to pick a Probability Density Function (PDF) that constitutes the optimal trade-off between both aspects. In the case of parametric estimation, Gaussian templates are a common choice due to their fast convergence, given that the actual leakages follow a Gaussian distribution (as in the case of an unprotected device). In contrast, histograms and kernel-based estimations are examples for non-parametric estimation that are capable to capture any distribution (even that of a protected device) at a slower convergence rate. With this work we aim to enlarge the statistical toolbox of a side-channel evaluator by introducing new PDF estimation tools that fill the gap between both extremes. Our tools are designed for parametric estimation and can efficiently characterize leakages up to the fourth statistical moment. We show that such an approach is superior to non-parametric estimators in contexts where key-dependent information in located in one of those moments of the leakage distribution. Furthermore, we successfully demonstrate how to apply our tools for the (worst-case) information-theoretic evaluation on masked implementations with up to four shares, both in a profiled and non-profiled attack scenario. We like to remark that this flexibility capturing information from different moments of the leakage PDF can provide very valuable feedback for hardware designers to their task to evaluate the individual and combined criticality of leakages in their (protected) implementations.

Category / Keywords: implementation / side-channel analysis, MI, PI, MIA

Original Publication (with major differences): SAC 2016

Date: received 19 Jul 2016

Contact author: tobias schneider-a7a at rub de

Available format(s): PDF | BibTeX Citation

Version: 20160721:150114 (All versions of this report)

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