Cryptology ePrint Archive: Report 2014/935

Boosting Higher-Order Correlation Attacks by Dimensionality Reduction

Nicolas Bruneau and Jean-Luc Danger and Sylvain Guilley and Annelie Heuser and Yannick Teglia

Abstract: Multi-variate side-channel attacks allow to break higher-order masking protections by combining several leakage samples. But how to optimally extract all the information contained in all possible $d$-tuples of points? In this article, we introduce preprocessing tools that answer this question. We first show that maximizing the higher-order CPA coefficient is equivalent to finding the maximum of the covariance. We apply this equivalence to the problem of trace dimensionality reduction by linear combination of its samples. Then we establish the link between this problem and the Principal Component Analysis. In a second step we present the optimal solution for the problem of maximizing the covariance. We also theoretically and empirically compare these methods. We finally apply them on real measurements, publicly available under the DPA Contest v4, to evaluate how the proposed techniques improve the second-order CPA (2O-CPA).

Category / Keywords: implementation /

Original Publication (with minor differences): SPACE 2014

Date: received 14 Nov 2014, last revised 17 Dec 2014

Contact author: sylvain guilley at telecom-paristech fr

Available format(s): PDF | BibTeX Citation

Note: In this version, a more pedagogical explanation of the "modulated leakage" notion is given.

Version: 20141217:225848 (All versions of this report)

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