Skip to main content
SpringerLink
Log in
Book cover

Australasian Conference on Information Security and Privacy

ACISP 1997: Information Security and Privacy pp 204–215Cite as

Characterization of (k, n) multi-receiver authentication

  • Authentication Codes And Secret Sharing Schemes
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1270))

Abstract

In the model of (k,n) multi-receiver authentication codes there are n receivers. An opponent and any k — 1 receivers cannot cheat any other receiver. Here we show tight lower bounds on the size of messages and the size of keys for given cheating probabilities. We also show a necessary and sufficient condition for the optimum scheme, which is given by a combinatorial characterization between the transmitter's keys and the keys of each receiver.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. J. Simmons: A survey of Information Authentication, Contemporary Cryptology, The science of information integrity, ed. G. J. Simmons, IEEE Press, New York, (1992)

    Google Scholar 

  2. G. J. Simmons: Authentication theory/coding theory, Proc. Crypto '84, Lecture Notes in Computer Science 196, Springer Verlag (1985) 411–431

    Google Scholar 

  3. E. F. Brickell: A few results in message authentication, Congresus Numerantium, vol. 43 (1984) 141–154

    Google Scholar 

  4. G. J. Simmons: Message authentication: a game on hypergraphs, Congr. Number. 45 (1984) 161–192

    Google Scholar 

  5. J. L. Massey: Cryptography — a selective survey, Digital Communications, North Holland (pub.) (1986) 3–21

    Google Scholar 

  6. D. R. Stinson: Some constructions and bounds for authentication codes, Journal of Cryptology 1 (1988) 37–51

    Article  Google Scholar 

  7. D. R. Stinson: The combinatorics of authentication and secrecy codes, Journal of Cryptology, Vol. 2, no 1 (1990) 23–49

    Google Scholar 

  8. D.R. Stinson: Combinatorial Characterization of Authentication Codes, Proc. Crypto'91, Lecture Notes in Computer Science 576, Springer Verlag (1992) 62–72

    Google Scholar 

  9. Marijke De Soete: New Bounds and Constructions for Authentication/Secrecy Codes with Splitting, Journal of Cryptology, Vol. 3, no 3 (1991) 173–186

    Article  Google Scholar 

  10. Y. Desmedt, Y. Frankel and M. Yung: Multi-receiver/Multi-sender network security: efficient authenticated multicast/feedback, IEEE Infocom'92, (1992) 2045–2054

    Google Scholar 

  11. S. Raghavarao: Constructions and combinatorial problems in design of experiments, John Wiley & Sons, Inc. (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Faculty of Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, 152, Tokyo, Japan

    Kaoru Kurosawa & Satoshi Obana

Authors
  1. Kaoru Kurosawa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Satoshi Obana
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Vijay Varadharajan Josef Pieprzyk Yi Mu

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kurosawa, K., Obana, S. (1997). Characterization of (k, n) multi-receiver authentication. In: Varadharajan, V., Pieprzyk, J., Mu, Y. (eds) Information Security and Privacy. ACISP 1997. Lecture Notes in Computer Science, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027927

Download citation

  • DOI: https://doi.org/10.1007/BFb0027927

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63232-0

  • Online ISBN: 978-3-540-69237-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation