Diffie-Hellman without Difficulty

  • Sebastian Mödersheim
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7140)

Abstract

An excellent way for a protocol to obtain shared keys is Diffie-Hellman. For the automated verification of security protocols, the use of Diffie-Hellman poses a certain amount of difficulty, because it requires algebraic reasoning. Several tools work in the free algebra and even for tools that do support Diffie-Hellman, the algebraic reasoning becomes a bottleneck.

We provide a new relative-soundness result: for a large class of protocols, significantly restricting the abilities of the intruder is without loss of attacks. We also show the soundness of a very restrictive encoding of Diffie-Hellman proposed by Millen and how to obtain a problem that can be answered in the free algebra without increasing its size upon encoding. This enables the efficient use of free-algebra verification tools for Diffie-Hellman based protocols and significantly reduces search-spaces for tools that do support algebraic reasoning.

Keywords

Security Protocol Free Algebra Reduction Rule Modular Exponentiation Simple Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Sebastian Mödersheim
    • 1
  1. 1.DTU InformaticsDenmark

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