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• W2951577897 abstract "One important result in secret sharing is the Brickell-Davenport Theorem: every ideal perfect secret sharing scheme defines a matroid that is uniquely determined by the access structure. Even though a few attempts have been made, there is no satisfactory definition of ideal secret sharing scheme for the general case, in which non-perfect schemes are considered as well. Without providing another unsatisfactory definition of ideal non-perfect secret sharing scheme, we present a generalization of the Brickell-Davenport Theorem to the general case. After analyzing that result under a new point of view and identifying its combinatorial nature, we present a characterization of the (not necessarily perfect) secret sharing schemes that are associated to matroids. Some optimality properties of such schemes are discussed." @default.
• W2951577897 created "2019-06-27" @default.
• W2951577897 creator A5003056280 @default.
• W2951577897 creator A5007447603 @default.
• W2951577897 date "2012-01-01" @default.
• W2951577897 modified "2023-10-05" @default.
• W2951577897 title "Extending Brickell-Davenport Theorem to Non-Perfect Secret Sharing Schemes." @default.
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• W2951577897 hasPublicationYear "2012" @default.
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