The natural embedding of the Ree-Tits Octagon
In this paper, we study and characterise the natural embedding of the Ree-Tits octagons. Keywords: Ree-Tits Octagon, Metasymplectic space, generalised octagon, generalised polygon
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arXiv subjects
Sebastian Petit
Publications and source records attributed to Sebastian Petit.
On certain blocking sets and the minimum weight of the code of generalised polygons
In this paper, we study and characterise certain blocking sets in generalised polygons. This will allow us to derive new results about the minimum weight and minimum weight code words in the code generated by the rows of the incidence matrix of a generalised polygon over a field F.
math.CO↗
Intersection numbers of the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3)
In this paper, we study and characterise the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3). We begin by describing the possible intersections of subspaces of PG(7,q^3) with T(q^3,q). Then, we provide conditions on a set of lines L which ensures that L forms the line set of a naturally embedded twisted triality hexagon. This work follows up on similar results for the split Cayley hexagon by J. A. Thas and H. Van Maldeghem (2008) and F. Ihringer (2014).
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