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


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.


Data Structure Information Theory Varied Nature Basic Problem Discrete Geometry 
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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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