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Computationally-Efficient Password Authenticated Key Exchange Based on Quadratic Residues

  • Muxiang Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4859)

Abstract

In this paper, we present a computationally efficient password authenticated key exchange protocol based on quadratic residues. The protocol, called QR-CEKE, is derived from the protocol QR-EKE, a previously published password authenticated key exchange protocol based on quadratic residues. The computational time for the client, however, is significant reduced in the protocol QR-CEKE. In comparison with QR-EKE, the protocol QR-CEKE is more suitable to an imbalanced computing environment where a low-end client device communicates with a powerful server over a broadband network. Based on number-theoretic techniques, we show that the computationally efficient password authenticated key exchange protocol is secure against residue attacks, a special type of off-line dictionary attack against password-authenticated key exchange protocols based on factorization. We also provide a formal security analysis of QR-CEKE under the factoring assumption and the random oracle model.

Keywords

Primitive Root Quadratic Residue Random Oracle Model Dictionary Attack Power Residue 
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 2007

Authors and Affiliations

  • Muxiang Zhang
    • 1
  1. 1.Verizon Communications Inc., 40 Sylvan Road, Waltham, MA 02451USA

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