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Summary: The extended abstract of this work appears in Andrew Patrick and Moti Yung, editors, Financial
Cryptography and Data Security FC 2005, Lectures Notes in Computer Science Vol. 3570, pages
341356, Roseau, The Commonwealth Of Dominica, Feb. 28 Mar. 3, 2005. Springer-Verlag,
Berlin, Germany.
Interactive Diffie-Hellman Assumptions With
Applications to Password-Based Authentication
Michel Abdalla David Pointcheval
Departement d'Informatique
´Ecole normale sup´erieure
45 Rue d'Ulm, 75230 Paris Cedex 05, France
{Michel.Abdalla,David.Pointcheval}@ens.fr
http://www.di.ens.fr/users/{mabdalla,pointche}.
Abstract
The area of password-based authenticated key exchange protocols has been the subject of a
vast amount of work in the last few years due to its practical aspects. In these protocols, the goal
is to enable users communicating over an unreliable channel to establish a secure session key even
when the secret key that they share is drawn from a small set of values. Despite the attention
given to it, it was only recently that this problem has been formally addressed in the three-party
setting. In this setting, the users trying to establish a secret session key are only required to
share a password with a trusted server and not directly among themselves. In this paper, we
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