Further hidden markov model cryptanalysis

  • Authors:
  • P. J. Green;R. Noad;N. P. Smart

  • Affiliations:
  • Department of Mathematics, University of Bristol, Bristol, United Kingdom;Department of Computer Science, University of Bristol, Bristol, United Kingdom;Department of Computer Science, University of Bristol, Bristol, United Kingdom

  • Venue:
  • CHES'05 Proceedings of the 7th international conference on Cryptographic hardware and embedded systems
  • Year:
  • 2005

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Abstract

We extend the model of Karlof and Wagner for modelling side channel attacks via Input Driven Hidden Markov Models (IDHMM) to the case where not every state corresponds to a single observable symbol. This allows us to examine algorithms where errors in measurements can occur between sub-operations, e.g. there may be an error probability of distinguishing an add (A) versus a double (D) for an elliptic curve system. The prior work of Karlof and Wagner would assume the error was between distinguishing an add-double (AD) versus a double (D). Our model also allows the modelling of unknown values, where one is unable to determine whether a given observable is add or double, and is the first model to allow one to analyse incomplete traces. Hence, our extension allows a more realistic modelling of real side channel attacks. In addition we look at additional heuristic approaches to combine multiple traces together so as to deduce further information.