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Strong Cryptography from Weak Secrets

Building Efficient PKE and IBE from Distributed Passwords
  • Xavier Boyen
  • Céline Chevalier
  • Georg Fuchsbauer
  • David Pointcheval
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6055)

Abstract

Distributed-password public-key cryptography (DPwPKC) allows the members of a group of people, each one holding a small secret password only, to help a leader to perform the private operation, associated to a public-key cryptosystem. Abdalla et al. recently defined this tool [1], with a practical construction. Unfortunately, the latter applied to the ElGamal decryption only, and relied on the DDH assumption, excluding any recent pairing-based cryptosystems. In this paper, we extend their techniques to support, and exploit, pairing-based properties: we take advantage of pairing-friendly groups to obtain efficient (simulation-sound) zero-knowledge proofs, whose security relies on the Decisional Linear assumption. As a consequence, we provide efficient protocols, secure in the standard model, for ElGamal decryption as in [1], but also for Linear decryption, as well as extraction of several identity-based cryptosystems [6,4]. Furthermore, we strenghten their security model by suppressing the useless testPwd queries in the functionality.

Keywords

Signature Scheme Random Oracle Linear Encryption Common Reference String Bilinear Group 
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 2010

Authors and Affiliations

  • Xavier Boyen
    • 1
  • Céline Chevalier
    • 2
  • Georg Fuchsbauer
    • 3
  • David Pointcheval
    • 3
  1. 1.Université de LiègeBelgium
  2. 2.Telecom ParisTechParisFrance
  3. 3.École Normale Supérieure, CNRS-INRIAParisFrance

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