# 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}
}
• Published 31 July 2013
• Mathematics
• Finite Fields Their Appl.
4 Citations

### Intersections of the Hermitian Surface with Irreducible Quadrics in Even Characteristic

• Mathematics
Electron. J. Comb.
• 2016
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

• Mathematics, Computer Science
Des. 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.

### Biparted Hyperboloid and Sphere Intersection Algorithm

• Mathematics, Computer Science
PRIS
• 2022
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 $PG(3,q^2)$

• 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},

## References

SHOWING 1-10 OF 23 REFERENCES

### On the intersection of Hermitian surfaces

Abstract.We provide a description of the configuration arising from intersection of two Hermitian surfaces in PG(3, q), provided that the linear system they generate contains at least a degenerate

### On the intersection of Hermitian surfaces

• Mathematics
• 2008
In [6] and [3] the authors determine the structure of the intersection of two Hermitian surfaces of PG(3, q) under the hypotheses that in the pencil they generate there is at least one degenerate

### Codes and caps from orthogonal Grassmannians

• Mathematics, Computer Science
Finite Fields Their Appl.
• 2013

### Finite projective spaces of three dimensions

This self-contained and highly detailed study considers projective spaces of three dimensions over a finite field. It is the second and core volume of a three-volume treatise on finite projective