D. Bartoli

activity

20092023

most citedNew MRD codes from linear cutting blocking sets

9 citations · 101 across the 70 of their papers we have counts for

collaborators

Showing 2014 · math.COShow all

4 papers · 2 filters

math.CO2014

2-semiarcs in $PG (2, q)$ , $q \leq 13$

Daniele Bartoli, Giorgio Faina, György Kiss +2

A $2$ -semiarc is a pointset $S_{k}$ with the property that the number of tangent lines to $S_{k}$ at each of its points is two. Using some theoretical results and…

math.CO2014★ 1 cited

A probabilistic construction of small complete caps in projective spaces

Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco

In this work complete caps in $P G (N, q)$ of size $O (q^{\frac{N - 1}{2}} lo g^{300} q)$ are obtained by probabilistic methods. This gives an upper bound asymptotically very close to the…

math.CO2014★ 3 cited

Tables of sizes of random complete arcs in the plane $P G (2, q)$

Daniele Bartoli, Alexander A. Davydov, Giorgio Faina +2

Tables of sizes of random complete arcs in the plane $P G (2, q)$ are given. The sizes are close to the smallest known sizes of complete arcs in $P G (2, q)$ , in particular, to ones cons…

math.CO2014★ 2 cited

Tables, bounds and graphics of sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 321007$ and sporadic $q$ in $[323761 \dots 430007]$ obtained by an algorithm with fixed order of points (FOP)

Daniele Bartoli, Alexander A. Davydov, Giorgio Faina +3

In the previous works of the authors, a step-by-step algorithm FOP which uses any fixed order of points in the projective plane $PG (2, q)$ is proposed to construct small co…

2-semiarcs in PG(2,q), q≤13

A probabilistic construction of small complete caps in projective spaces

Tables of sizes of random complete arcs in the plane PG(2,q)

Tables, bounds and graphics of sizes of complete arcs in the plane PG(2,q) for all q≤321007 and sporadic q in [323761…430007] obtained by an algorithm with fixed order of points (FOP)

2-semiarcs in $PG (2, q)$ , $q \leq 13$

Tables of sizes of random complete arcs in the plane $P G (2, q)$

Tables, bounds and graphics of sizes of complete arcs in the plane $PG (2, q)$ for all $q \leq 321007$ and sporadic $q$ in $[323761 \dots 430007]$ obtained by an algorithm with fixed order of points (FOP)