Characterisation and Estimation of the Key Rank Distribution in the Context of Side Channel Evaluations

Daniel Martin, Luke Mather, Elisabeth Oswald, Martijn Stam

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

13 Citations (Scopus)

Abstract

Quantifying the side channel security o fimplementations has been a significant research question for several years in academia but also among real world side channel practitioners. As part of security evaluations, efficient key rank estimation algorithms were devised, which in contrast to analyses based on subkey recovery, give a holistic picture of the security level after a side channel attack. However, it has been observed that outcomes of rank estimations show a huge spread in precisely the range of key ranks where enumeration could lead to key recovery. These observations raise the question whether this is because of insufficient rank estimation procedures, or, if this is an inherent property of the key rank. Furthermore, if this was inherent, how could key rank outcomes be translated into practically meaningful figures, suitable to analysing the risk that real world side channel attacks pose? This paper is a direct response to these questions. We experimentally identify the key rank distribution and show that it is independent of different distinguishers and signal-to-noise ratios. Then we offer a theoretical explanation for the observed key rank distribution and determine how many samples thereof are required for a robust estimation of some key parameters. We discuss how this can be naturally integrated into real world side channel evaluation practices. We conclude our research by connecting non-parametric order statistics, in particular percentiles, in a practically meaningful way with business goals.
Original languageEnglish
Title of host publicationAdvances in Cryptology - ASIACRYPT 2016
Subtitle of host publication22nd International Conference on the Theory and Application of Cryptology and Information Security, Hanoi, Vietnam, December 4-8, 2016, Proceedings, Part I
EditorsJung Hee Cheon, Tsuyoshi Takagi
PublisherSpringer
Pages548-572
Number of pages25
ISBN (Electronic)9783662538876
ISBN (Print)9783662538869
DOIs
Publication statusPublished - 16 Nov 2016

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Berlin Heidelberg
Volume10031
ISSN (Print)0302-9743

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    Cite this

    Martin, D., Mather, L., Oswald, E., & Stam, M. (2016). Characterisation and Estimation of the Key Rank Distribution in the Context of Side Channel Evaluations. In J. H. Cheon, & T. Takagi (Eds.), Advances in Cryptology - ASIACRYPT 2016: 22nd International Conference on the Theory and Application of Cryptology and Information Security, Hanoi, Vietnam, December 4-8, 2016, Proceedings, Part I (pp. 548-572). (Lecture Notes in Computer Science; Vol. 10031). Springer. https://doi.org/10.1007/978-3-662-53887-6_20