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Public Verifiability from Pairings in Secret Sharing Schemes

  • Somayeh Heidarvand
  • Jorge L. Villar
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5381)

Abstract

In this paper we propose a new publicly verifiable secret sharing scheme using pairings with close relations to Shoenmakers’ scheme. This scheme is efficient, multiplicatively homomorphic and with unconditional verifiability in the standard model. We formalize the notion of Indistinguishability of Secrets and prove that out scheme achieves it under the Decisional Bilinear Square (DBS) Assumption that is a natural variant of the Decisional Bilinear Diffie Hellman Assumption. Moreover, our scheme tolerates active and adaptive adversaries.

Keywords

Public Verification Secret Sharing Pairings Semantic Security Threshold Cryptography 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Somayeh Heidarvand
    • 1
  • Jorge L. Villar
    • 1
  1. 1.Universitat Politècnica de CatalunyaSpain

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