Mathematics – Combinatorics
Scientific paper
2012-01-28
Mathematics
Combinatorics
11 pp
Scientific paper
10.1007/s10623-012-9629-y
We use the representation $T_2(O)$ for $\q(4,q)$ to show that maximal partial
ovoids of $\q(4,q)$ of size $q^2-1$, $q=p^h$, $p$ odd prime, $h > 1$, do not
exist. Although this was known before, we give a slightly alternative proof,
also resulting in more combinatorial information of the known examples for $q$
prime.
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