Geometrical contributions to secret sharing theory |
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Authors: | Wen-Ai Jackson Keith M Martin Christine M O’Keefe |
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Institution: | (1) Department of Pure Mathematics, University of Adelaide, 5005 Adelaide, Australia;(2) Information Security Group, Royal Holloway, University of London, Egham, TW20 0EX, U.K.;(3) CSIRO, Mathematical and Information Sciences, Private Bag No 2, Glen Osmond, 5064, Australia |
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Abstract: | Finite geometry has found applications in many different fields and practical
environments. We consider one such application, to the theory of secret sharing,
where finite projective geometry has proved to be very useful, both as a modelling
tool and as a means to establish interesting results. A secret sharing scheme is a
means by which some secret data can be shared among a group of entities in such a way
that only certain subsets of the entities can jointly compute the secret. Secret sharing
schemes are useful for information security protocols, where they can be used to jointly
protect cryptographic keys or provide a means of access control. We review the contribution
of finite projective geometry to secret sharing theory, highlighting results and
techniques where its use has been of particular significance. |
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Keywords: | 51E20 94A62 |
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