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Less is more dimensionality reduction from a theoretical perspective

  • Nicolas Bruneau
  • , Sylvain Guilley
  • , Annelie Heuser
  • , Damien Marion
  • , Olivier Rioul
  • Telecom Paris
  • STMicroelectronics SA, France
  • Secure-IC SAS

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Reducing the dimensionality of the measurements is an important problem in side-channel analysis. It allows to capture multidimensional leakage as one single compressed sample, and therefore also helps to reduce the computational complexity. The other side of the coin with dimensionality reduction is that it may at the same time reduce the efficiency of the attack, in terms of success probability. In this paper, we carry out a mathematical analysis of dimensionality reduction. We show that optimal attacks remain optimal after a first pass of preprocessing, which takes the form of a linear projection of the samples. We then investigate the state-of-the-art dimensionality reduction techniques, and find that asymptotically, the optimal strategy coincides with the linear discriminant analysis.

Original languageEnglish
Title of host publicationCryptographic Hardware and Embedded Systems, CHES 2015 - 17th International Workshop, Proceedings
EditorsTim Güneysu, Helena Handschuh
PublisherSpringer Verlag
Pages22-41
Number of pages20
ISBN (Print)9783662483237
DOIs
Publication statusPublished - 1 Jan 2015
Event17th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2015 - Saint-Malo, France
Duration: 13 Sept 201516 Sept 2015

Publication series

NameLecture Notes in Computer Science
Volume9293
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2015
Country/TerritoryFrance
CitySaint-Malo
Period13/09/1516/09/15

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