Intersections of the Hermitian Surface with Irreducible Quadrics in Even Characteristic
@article{Aguglia2016IntersectionsOT, title={Intersections of the Hermitian Surface with Irreducible Quadrics in Even Characteristic}, author={Angela Aguglia and Luca Giuzzi}, journal={Electron. J. Comb.}, year={2016}, volume={23}, pages={4} }
We determine the possible intersection sizes of a Hermitian surface $\mathcal H$ with an irreducible quadric of ${\mathrm PG}(3,q^2)$ sharing at least a tangent plane at a common non-singular point when $q$ is even.
4 Citations
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In this paper, we introduce a set of sufficient criteria for the construction of relative hemisystems of the Hermitian space $\mathrm{H}(3, q^2 )$, unifying all known infinite families. We use these…
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New minimal intersection sets are constructed in AG (r,q2) sporting three intersection numbers with hyperplanes and linear error correcting codes with few weights are obtained, whose weight enumerator is determined.
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A set of sufficient criteria for the construction of relative hemisystems of the Hermitian space H(3,q2) is introduced, unifying all known infinite families.
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In this article we construct new minimal intersection sets in $AG(r,q^2)$ with respect to hyperplanes, of size $q^{2r-1}$ and multiplicity $t$, where $t\in \{ q^{2r-3}-q^{(3r-5)/2},…
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