Natural generalizations of threshold secret sharing

Farràs Ventura, Oriol; Padró Laimon, Carles; Xing, Chaoping; Yang, An

doi:10.1109/TIT.2014.2300113

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Farràs Ventura, Oriol

Padró Laimon, Carles

Xing, Chaoping

Yang, An

Document typeArticle

Defense date2014-01-14

Rights accessOpen Access

Abstract

We present new families of access structures that, similarly to the multilevel and compartmented access structures introduced in previous works, are natural generalizations of threshold secret sharing. Namely, they admit ideal linear secret sharing schemes over every large enough finite field, they can be described by a small number of parameters, and they have useful properties for the applications of secret sharing. The use of integer polymatroids makes it possible to find many new such families and it simplifies in great measure the proofs for the existence of ideal secret sharing schemes for them.

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CitationFarràs Ventura, O., Padro, C., Xing, C., Yang, A. Natural generalizations of threshold secret sharing. "IEEE transactions on information theory", 14 Gener 2014, vol. 60, núm. 3, p. 1652-1664.

URIhttp://hdl.handle.net/2117/100003

DOI10.1109/TIT.2014.2300113

ISSN0018-9448

Publisher versionhttp://ieeexplore.ieee.org

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