Geodesic
On KM-arcs in small Desarguesian planes
Peter Vandendriessche1
1Ghent University
The electronic journal of combinatorics, Tome 24 (2017) no. 1
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In this paper we study the existence problem for KM-arcs in small Desarguesian planes. We establish a full classification of KM$_{q,t}$-arcs for $q\le 32$, up to projective equivalence. We also construct a KM$_{64,4}$-arc; as $t=4$ was the only value for which the existence of a KM$_{64,t}$-arc was unknown, this fully settles the existence problem for $q\le 64$.
DOI : 10.37236/6057
Classification : 51E15, 51A30
Mots-clés : Desarguesian projective plane, \(\mathrm{KM}_{q, t}\)-arcs, finite projective planes, \((q+t,t)\)-arcs of type \((0,2,t)\)

Peter Vandendriessche  1

1 Ghent University 
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     title = {On {KM-arcs} in small {Desarguesian} planes},
     journal = {The electronic journal of combinatorics},
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Peter Vandendriessche. On KM-arcs in small Desarguesian planes. The electronic journal of combinatorics, Tome 24 (2017) no. 1. doi: 10.37236/6057

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