International Association for Cryptologic Research

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Disjunctive Multi-Level Secret Sharing

Authors:
Mira Belenkiy
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URL: http://eprint.iacr.org/2008/018
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Abstract: A disjunctive multi-level secret sharing scheme divides users into different levels. Each level L is associated with a threshold t_L, and a group of users can only recover the secret if, for some L, there are at least t_L users at levels 0....L in the group. We present a simple ideal disjunctive multi-level secret sharing scheme -- in fact, the simplest and most direct scheme to date. It is the first polynomial-time solution that allows the dealer to add new users dynamically. Our solution is by far the most efficient; the dealer must perform O(t) field operations per user, where t is the highest threshold in the system. We demonstrate the simplicity of our scheme by extending our construction into a distributed commitment scheme using standard techniques.
BibTeX
@misc{eprint-2008-17695,
  title={Disjunctive Multi-Level Secret Sharing},
  booktitle={IACR Eprint archive},
  keywords={foundations / secret sharing},
  url={http://eprint.iacr.org/2008/018},
  note={ mira@cs.brown.edu 13889 received 11 Jan 2008},
  author={Mira Belenkiy},
  year=2008
}