Designs, Codes and Cryptography

, Volume 1, Issue 3, pp 199–205 | Cite as

The Jamison method in galois geometries

  • A. A. Bruen
  • J. C. Fisher
Article

Abstract

In a fundamental paper R.E. Jamison showed, among other things, that any subset of the points of AG(n, q) that intersects all hyperplanes contains at least n(q − 1) + 1 points. Here we show that the method of proof used by Jamison can be applied to several other basic problems in finite geometries of a varied nature. These problems include the celebrated flock theorem and also the characterization of the elements of GF(q) as a set of squares in GF(q2) with certain properties. This last result, due to A. Blokhuis, settled a well-known conjecture due to J.H. van Lint and the late J. MacWilliams.

Keywords

Data Structure Information Theory Varied Nature Basic Problem Discrete Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • A. A. Bruen
    • 1
  • J. C. Fisher
    • 2
  1. 1.Department of MathematicsMiddlesex College, The University of Western OntarioLondonCanada
  2. 2.Department of MathematicsUniversity of ReginaReginaCanada

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