[Resource Topic] 2002/141: Applying General Access Structure to Proactive Secret Sharing Schemes

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Title:
Applying General Access Structure to Proactive Secret Sharing Schemes

Authors: Ventzislav Nikov, Svetla Nikova, Bart Preneel, 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).

ePrint: https://eprint.iacr.org/2002/141

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