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Issue RAIRO-Theor. Inf. Appl.
Volume 40, Number 4, October-December 2006
Page(s) 559 - 567
DOI 10.1051/ita:2006040
Published online 08 November 2006

Theoret. Informatics Appl. 40, 559-567 (2006)
DOI: 10.1051/ita:2006040

The accessibility of an access structure

Francesc Carreras1, Antonio Magaña1 and Carlo Munuera2

1  Polytechnic University of Catalonia, Dept. of Applied Mathematics II, School of Industrial Engineering of Terrassa, C. Colón 11, 08222 Terrassa, Barcelona, Spain; francesc.carreras@upc.edu; antonio.magana@upc.edu
2  University of Valladolid, Dept. of Applied Mathematics, Avda Salamanca SN, 47014 Valladolid, Castilla, Spain; cmunuera@modulor.arq.uva.es


(Received September 1st, 2003. Accepted November 7, 2005. Published online 8 November 2006.)

Abstract
In secret sharing, different access structures have different difficulty degrees for acceding to the secret. We give a numerical measure of how easy or how difficult is to recover the secret, depending only on the structure itself and not on the particular scheme used for realizing it. We derive some consequences.


Mathematics Subject Classification. 94A62, 94A60.

Key words: Cryptography -- secret sharing schemes -- access structures.


© EDP Sciences 2006


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