Intersections of the Hermitian surface with irreducible quadrics in PG(3, q2), q odd

@article{Aguglia2014IntersectionsOT,
  title={Intersections of the Hermitian surface with irreducible quadrics in PG(3, q2), q odd},
  author={Angela Aguglia and Luca Giuzzi},
  journal={Finite Fields Their Appl.},
  year={2014},
  volume={30},
  pages={1-13}
}
4 Citations

Intersections of the Hermitian Surface with Irreducible Quadrics in Even Characteristic

TLDR
The possible intersection sizes of a Hermitian surface with an irreducible quadric sharing at least a tangent plane at a common non-singular point when $q$ is even are determined.

Intersection sets, three-character multisets and associated codes

TLDR
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.

Biparted Hyperboloid and Sphere Intersection Algorithm

TLDR
The generalized cylindrical parametric equation of the biparted hyperboloid and sphere intersection algorithm is gained by coordinate transformation and the topological structure of the intersection curves can be judged accurately.

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

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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