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On sharing many secrets

Extended abstract
  • Wen -Ai Jackson
  • Keith M. Martin
  • Christine M. O'Keefe
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 917)

Abstract

We consider secret sharing schemes which, through an initial issuing of shares to a group of participants, permit a number of different secrets to be protected. Each secret is associated with a (potentially different) access structure and a particular secret can be reconstructed by any group of participants from its associated access structure without the need for further broadcast information. Two distinct problems are addressed. Firstly we consider ideal secret sharing schemes in this more general environment. In particular, we classify the collections of access structures that can be combined in such an ideal secret sharing scheme and we provide a general method of construction for such schemes. We also explore the extent to which the results that connect ideal secret sharing schemes to matroids can be appropriately generalised. Secondly we consider secret sharing schemes that can be used more than once. This problem can be considered as a type of secret sharing scheme wi! th different secrets but with the same access structure for each of the secrets.

Keywords

Access Structure Sharing Scheme Probability Mass Function 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 1995

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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