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Designated Verifier Signatures: Anonymity and Efficient Construction from Any Bilinear Map

  • Fabien Laguillaumie
  • Damien Vergnaud
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3352)

Abstract

The concept of Designated Verifier Signatures (DVS) was introduced by Jakobsson, Sako and Impagliazzo at Eurocrypt’96. These signatures are intended to a specific verifier, who is the only one able to check their validity. In this context, we formalize the notion of privacy of signer’s identity which captures the strong designated verifier property investigated in their paper. We propose a variant of the pairing-based DVS scheme introduced at Asiacrypt’03 by Steinfeld, Bull, Wang and Pieprzyk. Contrary to their proposal, our new scheme can be used with any admissible bilinear map, especially with the low cost pairings and achieves the new anonymity property (in the random oracle model). Moreover, the unforgeability is tightly related to the Gap-Bilinear Diffie-Hellman assumption, in the random oracle model and the signature length is around 75% smaller than the original proposal.

Keywords

Designated verifier signatures Privacy of signer’s identity Bilinear Diffie-Hellman problems Exact security Tight reduction 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Fabien Laguillaumie
    • 1
    • 2
  • Damien Vergnaud
    • 2
  1. 1.France Telecom Research and DevelopmentCaen Cedex 4France
  2. 2.Laboratoire de Mathématiques Nicolas OresmeUniversité de CaenCaen CedexFrance

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