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Robust Threshold DSS Signatures

  • Rosario Gennaro
  • Stanisław Jarecki
  • Hugo Krawczyk
  • Tal Rabin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1070)

Abstract

We present threshold DSS (Digital Signature Standard) signatures where the power to sign is shared by n players such that for a given parameter t < n/2 any subset of 2t + 1 signers can collaborate to produce a valid DSS signature on any given message, but no subset of t corrupted players can forge a signature (in particular, cannot learn the signature key). In addition, we present a robust threshold DSS scheme that can also tolerate n/3 players who refuse to participate in the signature protocol. We can also endure n/4 maliciously faulty players that generate incorrect partial signatures at the time of signature computation. This results in a highly secure and resilient DSS signature system applicable to the protection of the secret signature key, the prevention of forgery, and increased system availability.

Our results significantly improve over a recent result by Langford from CRYPTO’95 that presents threshold DSS signatures which can stand much smaller subsets of corrupted players, namely, t ≈ √n, and do not enjoy the robustness property. As in the case of Langford’s result, our schemes require no trusted party. Our techniques apply to other threshold ElGamal-like signatures as well. We prove the security of our schemes solely based on the hardness of forging a regular DSS signature.

Keywords

Signature Scheme Malicious Adversary Threshold Secret Sharing Undeniable Signature Secret Sharing Protocol 
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 1996

Authors and Affiliations

  • Rosario Gennaro
    • 1
  • Stanisław Jarecki
    • 1
  • Hugo Krawczyk
    • 2
  • Tal Rabin
    • 1
  1. 1.MIT Laboratory for Computer ScienceCambridgeUSA
  2. 2.IBM T.J. Watson Research CenterYorktown HeightsUSA

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