Designs, Codes and Cryptography

, Volume 64, Issue 3, pp 255–263

A geometric proof of a theorem on antiregularity of generalized quadrangles


  • Anna Y. Pun
    • Department of MathematicsThe University of Hong Kong
    • Department of MathematicsThe University of Hong Kong
Open AccessArticle

DOI: 10.1007/s10623-011-9569-y

Cite this article as:
Pun, A.Y. & Wong, P.P.W. Des. Codes Cryptogr. (2012) 64: 255. doi:10.1007/s10623-011-9569-y


A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular.


Antiregularity Generalized quadrangles Codes Laguerre geometry

Mathematics Subject Classification (2000)

51B15 51E12 51E22

Copyright information

© The Author(s) 2011