We give an explicit classification of the arcs in PG$(2,q)$ ($q$ even) with a large conical subset and excess 2, i.e., that consist of $q/2+1$ points of a conic and two points not on that conic. Apart from the initial setup, the methods used are similar to those for the case of odd $q$, published earlier (Electronic Journal of Combinatorics, 17, #R112).
@article{10_37236_2907,
author = {Kris Coolsaet and Heide Sticker},
title = {Arcs with large conical subsets in {Desarguesian} planes of even order},
journal = {The electronic journal of combinatorics},
year = {2014},
volume = {21},
number = {1},
doi = {10.37236/2907},
zbl = {1304.51002},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2907/}
}
TY - JOUR
AU - Kris Coolsaet
AU - Heide Sticker
TI - Arcs with large conical subsets in Desarguesian planes of even order
JO - The electronic journal of combinatorics
PY - 2014
VL - 21
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/2907/
DO - 10.37236/2907
ID - 10_37236_2907
ER -
%0 Journal Article
%A Kris Coolsaet
%A Heide Sticker
%T Arcs with large conical subsets in Desarguesian planes of even order
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/2907/
%R 10.37236/2907
%F 10_37236_2907
Kris Coolsaet; Heide Sticker. Arcs with large conical subsets in Desarguesian planes of even order. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/2907
