Improved Upper Bounds for the Information Rates of the Secret Sharing Schemes Induced by the Vamos Matroid

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dc.creatorMetcalf-Burton, Jessica Ruth
dc.date2008-09-17
dc.date.accessioned2026-07-07T10:03:39Z
dc.date.available2026-07-07T10:03:39Z
dc.descriptionAn access structure specifying the qualified sets of a secret sharing scheme must have information rate less than or equal to one. The Vamos matroid induces two non-isomorphic access structures V1 and V6, which were shown by Marti-Farre and Padro to have information rates of at least 3/4. Beimel, Livne, and Padro showed that the information rates of V1 and V6 are bounded above by 10/11 and 9/10 respectively. Here we improve those upper bounds to 19/21 for V1 and 17/19 for V6.
dc.identifierhttps://arxiv.org/abs/0809.3010
dc.identifierhttp://arxiv.org/abs/0809.3010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169369
dc.subjectCryptography and Security
dc.subjectInformation Theory
dc.titleImproved Upper Bounds for the Information Rates of the Secret Sharing Schemes Induced by the Vamos Matroid
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