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Multisecret Threshold Schemes

  • Wen-Ai Jackson
  • Keith M. Martin
  • Christine M. O’Keefe
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 773)

Abstract

A threshold scheme is a system that protects a secret (key) among a group of participants in such a way that it can only be reconstructed from the joint information held by some predetermined number of these participants. In this paper we extend this problem to one where there is more than one secret that participants can reconstruct using the information that they hold. In particular we consider the situation where there is a secret s K associated with each k-subset K of participants and s K can be reconstructed by any group of t participants in K (tk). We establish bounds on the minimum amount of information that participants must hold in order to ensure that up to w participants (0 ≤ wnk + t − 1) cannot obtain any information about a secret with which they are not associated. We also discuss examples of systems that satisfy this bound.

Keywords

Prime Power Access Structure Sharing Scheme Secret Sharing Scheme Threshold 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 1994

Authors and Affiliations

  • Wen-Ai Jackson
    • 1
  • Keith M. Martin
    • 1
  • Christine M. O’Keefe
    • 1
  1. 1.Department of Pure MathematicsThe University of AdelaideAdelaideAustralia

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