Some Remarks on Steiner Systems

  • Authors:

  • Hendrik Van Maldeghem

  • Affiliations:

  • Ghent University, Pure Mathematics and Computer Algebra, Galglaan 2, 9000 Gent, Belgium hvm@cage.rug.ac.be

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2003

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Abstract

The main purpose of this paper is to introduce Steiner systems obtained from the finite classical generalized hexagons of order q. We show that we can take the blocks of the Steiner systems amongst the lines and the traces of the hexagon, and we prove some facts about the automorphism groups. Also, we make a remark concerning the geometric construction of a known class (KW) of Steiner systems and we deduce some properties of the automorphism group.