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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 313))

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Abstract

This paper gives constructions of infinite classes of 2, 3 and 4-threshold schemes based on finite incidence structures such as generalised quadrangles and projective planes.

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References

  1. Beth, T., Jungnickel, D. and Lenz, H.: Design Theory, Wissenschaftsverlag Bibliographisches Institut Mannheim, 1985.

    Google Scholar 

  2. Beutelspacher, A. and Vedder, K.: Geometric Structures as Threshold Schemes, in: The Institute of Mathematics and its Applications, Conf. Series 20, Cryptography and Coding, ed. H. J. Beker and F. C. Piper, 1989, 255–268.

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  3. Blakley, G. R.: Safeguarding cryptographic keys, in: Proceedings NCC, AFIPS Press, Montvale, N.J., Vol. 48, 1979, 313–317.

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  4. De Soete, M. and Thas, J.A.: A coordinatisation of the generalised quadrangles of order (s, s + 2), J. Comb. Theory A, Vol. 48–1 (1988), 1–11.

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  5. Hanssens, G. and Van Maldeghem, H.: Coordinatisation of Generalised Quadrangles, Annals of Discr. Math. 37 (1988), 195–208.

    Google Scholar 

  6. Hughes, D. R. and Piper, F. C.: Projective Planes, Springer Verlag, BerlinHeidelberg—New York, 1973.

    MATH  Google Scholar 

  7. Hughes, D. R. and Piper, F. C.: Design Theory, Cambridge University Press, 1985.

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  8. Payne, S. E. and Thas, J. A.: Finite generalised quadrangles, Research Notes in Math. #110, Pitman Publ. Inc., 1984.

    Google Scholar 

  9. Shamir, A.: How to share a secret, Communications ACM, Vol. 22 nr. 11 (1979), 612–613.

    Article  MATH  MathSciNet  Google Scholar 

  10. Sved, M.: Baer subspaces in the n dimensional projective space, Comb. Math. Proc. Adelaide (1982), 375–391.

    Google Scholar 

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© 1990 Springer-Verlag Wien

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De Soete, M. (1990). Geometric Threshold Schemes. In: Longo, G., Marchi, M., Sgarro, A. (eds) Geometries, Codes and Cryptography. International Centre for Mechanical Sciences, vol 313. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2838-1_8

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  • DOI: https://doi.org/10.1007/978-3-7091-2838-1_8

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82205-0

  • Online ISBN: 978-3-7091-2838-1

  • eBook Packages: Springer Book Archive

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