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Localised multisecret sharing

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Abstract

A localised multisecret sharing scheme is a multisecret sharing scheme for an ordered set of players in which players in the smallest sets who are authorised to access secrets are close together in the underlying ordering. We define threshold versions of localised multisecret sharing schemes, we provide lower bounds on the share size of perfect localised multisecret sharing schemes in an information theoretic setting, and we give explicit constructions of schemes to show that these bounds are tight. We then analyse a range of approaches to relaxing the model that provide trade-offs between the share size and the level of security guarantees provided by the scheme, in order to permit the construction of schemes with smaller shares. We show how these techniques can be used in the context of an application to key distribution for RFID-based supply-chain management motivated by the proposal of Juels, Pappu and Parno from USENIX 2008.

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Authors and Affiliations

  1. Information Security Group, Royal Holloway, University of London, London, TW20 0EX, UK

    Thalia M. Laing & Keith M. Martin

  2. Department of Economics, Mathematics and Statistics, Birkbeck, University of London, Malet Street, London, WC1E 7HX, UK

    Maura B. Paterson

  3. David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Douglas R. Stinson

Authors
  1. Thalia M. Laing
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  2. Keith M. Martin
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  3. Maura B. Paterson
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  4. Douglas R. Stinson
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Corresponding author

Correspondence to Maura B. Paterson.

Additional information

D.R. Stinson’s research is supported by Natural Sciences and Engineering Research Council discovery grant 203114-11

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Laing, T.M., Martin, K.M., Paterson, M.B. et al. Localised multisecret sharing. Cryptogr. Commun. 9, 581–597 (2017). https://doi.org/10.1007/s12095-016-0202-9

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  • DOI: https://doi.org/10.1007/s12095-016-0202-9

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