Designs, Codes and Cryptography

, Volume 6, Issue 3, pp 189–204

On the classification of geometric codes by polynomial functions

  • D. G. Glynn
  • J. W. P. Hirschfeld
Article

DOI: 10.1007/BF01388474

Cite this article as:
Glynn, D.G. & Hirschfeld, J.W.P. Des Codes Crypt (1995) 6: 189. doi:10.1007/BF01388474

Abstract

It is shown how to represent algebraically all functions that have a zero sum on all μ-dimensional subspaces ofPG(n,q) or ofAG(n,q). In this way one can calculate the dimensions of related codes, or one can represent interesting sets of points by functions.

Keywords

projectivefinite geometryovalovoidcodepolynomial function

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • D. G. Glynn
    • 1
  • J. W. P. Hirschfeld
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of CanterburyChristchurchNew Zealand
  2. 2.School of Mathematical and Physical SciencesUniversity of SussexBrightonUK