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- W2317698564 abstract "A black-box secret sharing scheme(BBSSS) differs from an ordinary linear secret sharing scheme over finite field.It works in exactly the same way over any finite Abelian group,as it only requires black-box access to group operations and to random group elements.In particular,there is no dependence on e.g.the structure of the group or its order.Until now,the efficient BBSSS for non-threshold access structure has not been constructed.In this paper,we give an approach to construct BBSSS for some non-threshold over arbitrary Abelian group by making use of the technique of monotone span scheme(MSP).First,we introduce the notation of weak MSPs and give the technique to construct the MSP based on weak MSPs.Then,we construct a pair of coprime weak MSPs by using the MSP over rational field and the MSP over finite field.Finally,we construct an efficient non-threshold BBSSS such as BBSSS for disjunctive multi-level access structure.Our new scheme can be applied to construct the new secure multi-party computation protocol over rings,linear integer secret sharing scheme,and distributed RSA signature for disjunctive multi-level access structure,and new zero-knowledge protocol." @default.
- W2317698564 created "2016-06-24" @default.
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- W2317698564 date "2012-01-01" @default.
- W2317698564 modified "2023-09-28" @default.
- W2317698564 title "Black-Box Secret Sharing Scheme for Disjunctive Mult-i Level Access Structure" @default.
- W2317698564 doi "https://doi.org/10.3724/sp.j.1016.2012.01804" @default.
- W2317698564 hasPublicationYear "2012" @default.
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