Cryptology ePrint Archive: Report 2008/018

Disjunctive Multi-Level Secret Sharing

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.

Category / Keywords: foundations / secret sharing

Date: received 11 Jan 2008

Contact author: mira at cs brown edu

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Version: 20080114:113150 (All versions of this report)

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