Statistical measurement of information leakage

  • Authors:
  • Konstantinos Chatzikokolakis;Tom Chothia;Apratim Guha

  • Affiliations:
  • Department of Mathematics and Computer Science, Technische Universiteit Eindhoven;School of Computer Science, University of Birmingham;School of Mathimatics, University of Birmingham

  • Venue:
  • TACAS'10 Proceedings of the 16th international conference on Tools and Algorithms for the Construction and Analysis of Systems
  • Year:
  • 2010

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Abstract

Information theory provides a range of useful methods to analyse probability distributions and these techniques have been successfully applied to measure information flow and the loss of anonymity in secure systems. However, previous work has tended to assume that the exact probabilities of every action are known, or that the system is non-deterministic. In this paper, we show that measures of information leakage based on mutual information and capacity can be calculated, automatically, from trial runs of a system alone. We find a confidence interval for this estimate based on the number of possible inputs, observations and samples. We have developed a tool to automatically perform this analysis and we demonstrate our method by analysing a Mixminon anonymous remailer node.