9 citations · 101 across the 70 of their papers we have counts for
6 papers · 2 filters
Maximum scattered linear sets and complete caps in Galois spaces
Daniele Bartoli, Massimo Giulietti, Giuseppe Marino +1
Explicit constructions of infinite families of scattered --linear sets in of maximal rank , for even, are provided. When and …
Completeness of cubic curves in PG(2, q), q <= 81
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
Theoretical results are known about the completeness of a planar algebraic cubic curve as a (n,3)-arc in PG(2,q). They hold for q big enough and sometimes have restriction on the c…
The 95256-cap in PG(12; 4) is complete
D. Bartoli, S. Marcugini, A. Milani +1
We describe an algorithm for testing the completeness of caps in PG(r; q), q even. It allowed us to check that the 95256-cap in PG(12; 4) recently found by Fu el al. (see [14]) is…
Further results on multiple coverings of the farthest-off points
Daniele Bartoli, Alexander A. Davydov, Massimo Giulietti +2
Multiple coverings of the farthest-off points (-MCF codes) and the corresponding -saturating sets in projective spaces are considered. We propose and develo…
On the spectrum of sizes of semiovals contained in the Hermitian curve
Daniele Bartoli, Gyorgy Kiss, Stefano Marcugini +1
Some constructions and bounds on the sizes of semiovals contained in the Hermitian curve are given. A construction of an infinite family of 2-blocking sets of the Hermitian curve i…
On upper bounds on the smallest size of a saturating set in a projective plane
Daniele Bartoli, Alexander A. Davydov, Massimo Giulietti +2
In a projective plane (not necessarily Desarguesian) of order a point subset is saturating (or dense) if any point of is collinear with two poin…