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A theoretical study of kolmogorov-smirnov distinguishers side-channel analysis vs. differential cryptanalysis

  • Telecom Paris
  • Secure-IC SAS

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

Abstract

In this paper, we carry out a detailed mathematical study of two theoretical distinguishers based on the Kolmogorov-Smirnov (KS) distance. This includes a proof of soundness and the derivation of closed-form expressions, which can be split into two factors: one depending only on the noise and the other on the confusion coefficient of Fei, Luo and Ding. This allows one to have a deeper understanding of the relative influences of the signal-to-noise ratio and the confusion coefficient on the distinguisher's performance. Moreover, one is able to directly compare distinguishers based on their closed-form expressions instead of using evaluation metric that might obscure the actual performance and favor one distinguisher over the other. Furthermore, we formalize the link between the confusion coefficient and differential cryptanalysis, which shows that the stronger an S-box is resistant to differential attacks the weaker it is against side-channel attacks, and vice versa.

Original languageEnglish
Title of host publicationConstructive Side-Channel Analysis and Secure Design - 5th International Workshop, COSADE 2014, Revised Selected Papers
PublisherSpringer Verlag
Pages9-28
Number of pages20
ISBN (Print)9783319101743
DOIs
Publication statusPublished - 1 Jan 2014
Event5th International Workshop on Constructive Side-Channel Analysis and Secure Design, COSADE 2014 - Paris, France
Duration: 13 Apr 201415 Apr 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8622 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Workshop on Constructive Side-Channel Analysis and Secure Design, COSADE 2014
Country/TerritoryFrance
CityParis
Period13/04/1415/04/14

Keywords

  • Closed-form expressions
  • Confusion coefficient
  • Constrained S-Box search
  • Kolmogorov-Smirnov analysis
  • S-Box differential uniformity
  • Side-channel distinguisher

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