Abstract
A new family of relative hemisystems on the generalized quadrangle \({\mathcal {H}}(3,q^2)\) admitting a group of order \(q^2(q+1)\) as automorphism group, is constructed. As a by product a new infinite family of hyperovals of \({\mathcal {H}}(3,q^2)\) is presented.
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Communicated by D. Ghinelli.
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Cossidente, A. A new family of relative hemisystems on the Hermitian surface. Des. Codes Cryptogr. 75, 213–221 (2015). https://doi.org/10.1007/s10623-013-9906-4
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DOI: https://doi.org/10.1007/s10623-013-9906-4