Abstract
We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank 3. We give a computer-free proof for the uniqueness, up to isomorphism, of the hyperoval of size 126 of H(5, 4) and prove that the near hexagon $${\mathbb E_3}$$ has up to isomorphism a unique full embedding into the dual polar space DH(5, 4).
Published Version
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