# 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}
}
• Published 31 July 2014
• Mathematics
• Electron. J. Comb.
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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• 2017
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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• Mathematics
• 2015
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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