Cryptology ePrint Archive: Report 2002/141

Applying General Access Structure to Proactive Secret Sharing Schemes

Ventzislav Nikov and Svetla Nikova and Bart Preneel and Joos Vandewalle

Abstract: Verifiable secret sharing schemes (VSS) are secret sharing schemes (SSS) dealing with possible cheating by participants. In this paper we use the VSS proposed by Cramer, Damgard and Maurer \cite{CDM99,CDM00,Cra00}. They introduced a purely linear algebraic method to transform monotone span program (MSP) based secret sharing schemes into VSS. In fact, the monotone span program model of Karchmer and Wigderson \cite{KW93} deals with arbitrary monotone access structures and not just threshold ones. Stinson and Wei \cite{SW99} proposed a proactive SSS based on threshold (polynomial) VSS. The purpose of this paper is to build unconditionally secure proactive SSS over any access structure, as long as it admits a linear secret sharing scheme (LSSS).

Category / Keywords: cryptographic protocols / proactive and verifiable secret sharing schemes, access structure

Publication Info: 23rd Symposium on Information Theory in the BENELUX, May 29-31, 2002, Louvain-la-Neuve, Belgium, 197-206.

Date: received 14 Sep 2002, last revised 2 Mar 2003

Contact author: svetla nikova at esat kuleuven ac be

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Note: Corrected Version

Version: 20030302:144647 (All versions of this report)

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