Abstract

We present an improvement on a recent bound for small maximal partial ovoids of $\mathbf{W}\left(q^3\right)$. We also classify maximal partial ovoids of size $\left(q^2-1\right)$ of $\mathbf{Q}\left(4,q\right)$ which allow a certain large automorphism group, and discuss examples for small $q$.

Keywords

Mathematical Subject Classification 2010

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