2-blocking sets in PG(4, ), square.
A class of complete arcs in multiply derived planes.
A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications
ACM Computing Classification System (1998): E.4.Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q ) for given integers n, r and q using the geometric structure of points and lines in PG(2, q ) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists no [34, 3, 31] 17 code.This research was partially...
A unified construction of finite geometries associated with -clans in characteristic 2.
Alcuni problemi di ricerca nelle geometrie di Galois
We present a survey on classical problems of Galois geometries. More precisely we discuss some problems and results about ovals, hyperovals, caps, maximal arcs and blocking sets in projective planes and spaces over Galois fields.
Arcs and Ovals in Derivable Planes.
Arcs with large conical subsets.
Blocking set nei piani proiettivi
Blocking sets in for small , and partial spreads in .
Caps on Hermitian varieties and maximal curves.
Classification of flocks of the quadratic cone over fields of order at most 29.
Collineations of Subiaco and Cherowitzo hyperovals.
Extending arcs: an elementary proof.
Finite geometries, varieties and codes.
Il Teorema di Hasse-Weil e la costruzione di archi completi di cardinalità piccola in piani di Galois di ordine dispari
In questa Nota costruiamo una famiglia di -archi completi di tale che , per ogni . La dimostrazione della completezza si basa sul classico Teorema di Hasse-Weil riguardante il numero dei punti di una curva algebrica irriducibile di .
-arcs in finite Benz planes.
More maximal arcs in Desarguesian projective planes and their geometric structure.
On Blocking Sets in Affine Hjelmslev Planes
ACM Computing Classification System (1998): G.2.1.We prove that the minimum size of an affine blocking set in the affine plane AHG ...This research has been supported by the Scientific Research Fund of Sofia University under Contract No 109/09.05.2012.
On Cameron-Liebler line classes.
On Mathon's construction of maximal arcs in Desarguesian planes.