Welcome to the resource topic for 2008/018
Title:
Disjunctive Multi-Level Secret Sharing
Authors: Mira Belenkiy
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.
ePrint: https://eprint.iacr.org/2008/018
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