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The accessibility of an access structure

Published online by Cambridge University Press:  08 November 2006

Francesc Carreras ,
Antonio Magaña  and
Carlo Munuera
Francesc Carreras
Affiliation:
Polytechnic University of Catalonia, Dept. of Applied Mathematics II, School of Industrial Engineering of Terrassa, C. Colón 11, 08222 Terrassa, Barcelona, Spain; [email protected]; [email protected]
Antonio Magaña
Affiliation:
Polytechnic University of Catalonia, Dept. of Applied Mathematics II, School of Industrial Engineering of Terrassa, C. Colón 11, 08222 Terrassa, Barcelona, Spain; [email protected]; [email protected]
Carlo Munuera
Affiliation:
University of Valladolid, Dept. of Applied Mathematics, Avda Salamanca SN, 47014 Valladolid, Castilla, Spain; [email protected]
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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.

Keywords

Cryptographysecret sharing schemesaccess structures.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 4 , October 2006 , pp. 559 - 567
Copyright
© EDP Sciences, 2006

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References

Ateniese, G., Blundo, C., De Santis, A. and Stinson, D., Extended Capabilities for visual cryptography. Theoretical Comput. Sci. 250 (2001) 143–162. CrossRef
Blakley, G.R., Safeguarding cryptographic keys. AFIPS Conference Proceedings 48 (1979) 313–317.
A. Shamir, How to share a secret. Commun. ACM, 22 (1979) 612–613.
D.R. Stinson, Cryptography: Theory and Practice. CRC Press (1995).