Ideal homogeneous access structures constructed from graphs

Starting from a new relation between graphs and secret sharing schemes introduced by Xiao, Liu and Zhang, we show a method to construct more general ideal homogeneous access structures. The method has some advantages: it efficiently gives an ideal homogeneous access structure for the desired rank, a...

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Detalles Bibliográficos
Autor: Herranz Sotoca, Javier|||0000-0001-5141-7234
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/9851
Acceso en línea:https://hdl.handle.net/2117/9851
https://dx.doi.org/10.3217/jucs-015-14-2881
Access Level:acceso abierto
Palabra clave:Cryptography
Graph connectivity
Criptografia
Grafs, Teoria de
Àrees temàtiques de la UPC::Informàtica::Seguretat informàtica::Criptografia
Descripción
Sumario:Starting from a new relation between graphs and secret sharing schemes introduced by Xiao, Liu and Zhang, we show a method to construct more general ideal homogeneous access structures. The method has some advantages: it efficiently gives an ideal homogeneous access structure for the desired rank, and some conditions can be imposed (such as forbidden or necessary subsets of players), even if the exact composition of the resulting access structure cannot be fully controlled. The number of homogeneous access structures that can be constructed in this way is quite limited; for example, we show that (t, l)-threshold access structures can be constructed from a graph only when t = 1, t = l - 1 or t = l.