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Optimum Secret Sharing Scheme Secure against Cheating

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1070)

Abstract

Tompa and Woll considered a problem of cheaters in (k, n) threshold secret sharing schemes. We first derive a tight lower bound on the size of shares |V i| for this problem: |V i| ≥ (|S| − 1)/δ + 1, where V i denotes the set of shares of participant P i, S denotes the set of secrets, and δ denotes the cheating probability. We next present an optimum scheme which meets the equality of our bound by using “difference sets.”

Keywords

Secret Sharing Secret Sharing Scheme Reconstruction Phase Threshold Scheme Threshold Secret Sharing Scheme 
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

  1. 1.Himeji Institute of TechnologyHyogoJapan
  2. 2.Tokyo Institute of TechnologyTokyoJapan

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