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Infinite families of hyperovals of the generalized quadrangle H(3, q 2 ) are constructed. Some sporadic examples are also presented. A construction of an irreducible 2-ovoid of H(3, 25) and some results on packings of the Hermitian curve are given.doi:10.1016/j.jcta.2010.11.016 fatcat:r6kcr7k5yzc6bmeccgjaup4tn4