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dc.contributor.authorFarràs Ventura, Oriol
dc.contributor.authorPadró Laimon, Carles
dc.contributor.authorXing, Chaoping
dc.contributor.authorYang, An
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-01-25T10:11:40Z
dc.date.available2017-01-25T10:11:40Z
dc.date.issued2014-01-14
dc.identifier.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.
dc.identifier.issn0018-9448
dc.identifier.urihttp://hdl.handle.net/2117/100003
dc.description© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
dc.description.abstractWe 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.
dc.format.extent13 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Funcions especials
dc.subject.lcshPolynomials
dc.subject.otherCryptography
dc.subject.othersecret sharing
dc.subject.otherideal secret sharing schemes
dc.subject.othermultipartite secret sharing
dc.subject.otherinteger polymatroids
dc.titleNatural generalizations of threshold secret sharing
dc.typeArticle
dc.subject.lemacPolinomis
dc.contributor.groupUniversitat Politècnica de Catalunya. MAK - Matemàtica Aplicada a la Criptografia
dc.identifier.doi10.1109/TIT.2014.2300113
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::26 Real functions::26C Polynomials, rational functions
dc.relation.publisherversionhttp://ieeexplore.ieee.org
dc.rights.accessOpen Access
local.identifier.drac18546515
dc.description.versionPostprint (author's final draft)
local.citation.authorFarràs Ventura, O.; Padro, C.; Xing, C.; Yang, A.
local.citation.publicationNameIEEE transactions on information theory
local.citation.volume60
local.citation.number3
local.citation.startingPage1652
local.citation.endingPage1664


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