Abstract
In this paper, we give an alternative construction of the Hölz design $D_{Hölz}(q)$, for $q\not\equiv 2$~mod~$3$. If $q\equiv 2$~mod~$3$, then our construction yields a $2-(q^3+1,q+1,\frac{q+4}{3})$-subdesign of the Hölz-design. The construction uses two hexagons embedded in the parabolic quadric $Q(6,q)$.
Citation
A. De Wispelaere. H. Van Maldeghem. "A Hölz-design in the generalized hexagon $H(q)$." Bull. Belg. Math. Soc. Simon Stevin 12 (5) 781 - 791, January 2006. https://doi.org/10.36045/bbms/1136902615
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