A General Decomposition Construction for Incomplete Secret Sharing Schemes |
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Authors: | Marten van Dijk Wen-Ai Jackson Keith M. Martin |
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Affiliation: | (1) Philips Research Laboratories, Prof. Holstlaan 4, 5656 AA Eindhoven, The Netherlands;(2) Department of Pure Mathematics, The University of Adelaide, Adelaide, SA, 5005, Australia;(3) ESAT-COSIC, Katholieke Universiteit Leuven, Kard. Mercierlaan 94, B-3001 Heverlee, Belgium |
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Abstract: | A secret sharing scheme for an incomplete access structure (,) is a method of distributing information about a secret among a group of participants in such a way that sets of participants in can reconstruct the secret and sets of participants in can not obtain any new information about the secret. In this paper we present a more precise definition of secret sharing schemes in terms of information theory, and a new decomposition theorem. This theorem generalizes previous decomposition theorems and also works for a more general class of access structures. We demonstrate some applications of the theorem. |
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Keywords: | secret sharing information theory cryptology |
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