# 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

Unifying the known infinite families of relative hemisystems on the Hermitian surface

- Mathematics
- 2015

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…

Intersection sets, three-character multisets and associated codes

- Mathematics, Computer ScienceDes. Codes Cryptogr.
- 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.

A note on relative hemisystems of Hermitian generalised quadrangles

- MathematicsDes. Codes Cryptogr.
- 2016

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.

$t$-Intersection sets in $AG(r,q^2)$ and two-character multisets in $PG(3,q^2)$

- 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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