Dates are inconsistent

Dates are inconsistent

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2010/232 (PDF) Last updated: 2010-10-09
On Representable Matroids and Ideal Secret Sharing
Ching-Fang Hsu, Qi Cheng

In secret sharing, the exact characterization of ideal access structures is a longstanding open problem. Brickell and Davenport (J. of Cryptology, 1991) proved that ideal access structures are induced by matroids. Subsequently, ideal access structures and access structures induced by matroids have attracted a lot of attention. Due to the difficulty of finding general results, the characterization of ideal access structures has been studied for several particular families of access...

2006/292 (PDF) Last updated: 2010-03-16
Ideal Multipartite Secret Sharing Schemes
Oriol Farras, Jaume Marti-Farre, Carles Padro
Cryptographic protocols

Multipartite secret sharing schemes are those having a multipartite access structure, in which the set of participants is divided into several parts and all participants in the same part play an equivalent role. In this work, the characterization of ideal multipartite access structures is studied with all generality. Our results are based on the well-known connections between ideal secret sharing schemes and matroids and on the introduction of a new combinatorial tool in secret sharing,...

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