The known maximal partial ovoids of size $q^2-1$ of Q(4,q)

Details The known maximal partial ovoids of size $q^2-1$ of Q(4,q) The known maximal partial ovoids of size $q^2-1$ of Q(4,q)

2012-01-28

arxiv.org/abs/1201.5967v3

Mathematics

Combinatorics

15 pages, revised version (v2 on arxiv is just a update of another paper, applied on this paper, clearly a mistake...)

Scientific paper

We present a description of maximal partial ovoids of size $q^2-1$ of the
parabolic quadric $\q(4,q)$ as sharply transitive subsets of $\SL(2,q)$ and
show their connection with spread sets. This representation leads to an elegant
explicit description of all known examples. We also give an alternative
representation of these examples which is related to root systems.

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