International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Examining Indistinguishability-Based Proof Models for Key Establishment Protocols

Kim-Kwang Raymond Choo
Colin Boyd
Yvonne Hitchcock
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Abstract: We examine various indistinguishability-based proof models for key establishment protocols, namely the Bellare & Rogaway (1993, 1995), the Bellare, Pointcheval, & Rogaway (2000), and the Canetti & Krawczyk (2001) proof models. We then consider several variants of these proof models, identify several subtle differences between these variants and models, and compare the relative strengths of the notions of security between the models. For each of the pair of relations between the models (either an implication or a non-implication), we provide proofs or counter-examples to support the observed relations. We also reveal a drawback with the original formulation of the Bellare, Pointcheval, & Rogaway (2000) model, whereby the Corrupt query is not allowed. As a case study, we use the Abdalla & Pointcheval (2005) three-party password-based key exchange protocol (3PAKE), which carries a proof of security in the Bellare, Pointcheval, & Rogaway (2000) model. We reveal a previously unpublished flaw in the protocol, and demonstrate that this attack would not be captured in the model due to the omission of the Corrupt query.
  title={Examining Indistinguishability-Based Proof Models for Key Establishment Protocols},
  booktitle={IACR Eprint archive},
  keywords={cryptographic protocols /},
  note={The abridged version of this paper is going to appear in the proceedings of Asiacrypt 2005, LNCS 3788/2005 (pp. 585--604). 13062 received 14 Aug 2005, last revised 6 Oct 2005},
  author={Kim-Kwang Raymond Choo and Colin Boyd and Yvonne Hitchcock},