2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 299302
author:  Miroslava Cimráková and Veerle Fack 

title:  On minimal blocking sets of the generalized quadrangle 
keywords:  generalized quadrangle, blocking set, search algorithm 
abstract: 
The generalized quadrangle
Q(4,q)
arising from the parabolic quadric in
PG(4,q)
always has an ovoid. It is not known whether a
minimal blocking set of size smaller than
q
(which is not an ovoid) exists in
2
+ q
Q(4,q), q
odd. We present results on smallest blocking
sets in
Q(4,q), q
odd, obtained by a computer search. For
q = 5,7,9,11
we found minimal blocking sets of size
q
and we discuss their structure. By an exhaustive
search we excluded the existence of a minimal blocking set
of size
2
+ q  2
q
in
2
+ 3
Q(4,7)
.

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reference:  Miroslava Cimráková and Veerle Fack (2005), On minimal blocking sets of the generalized quadrangle, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 299302 
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