9 citations · 101 across the 70 of their papers we have counts for
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Tables, bounds and graphics of the smallest known sizes of complete arcs in the plane for all and sporadic in the interval
Daniele Bartoli, Alexander A. Davydov, Giorgio Faina +3
In the projective planes , we collect the smallest known sizes of complete arcs for the regions \begin{align*} &\mbox{all } q\le160001,~~ q \mbox{ prime power};\\…
Semiovals in PG(2,8) and PG(2,9)
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
The classification of all semiovals and blocking semiovals in and in of size less than is determined. Also, some information on the stabi…
The nonexistence of an additive quaternary [15,5,9]-code
Daniele Bartoli, Juergen Bierbrauer, Giorgio Faina +2
We show that no additive [15,5,9]_4-code exists. As a consequence the largest dimension k such that an additive quaternary [15,k,9]_4-code exists is k=4.5.
Complete arcs and complete caps from cubics with an isolated double point
Nurdagul Anbar, Daniele Bartoli, Massimo Giulietti +1
Small complete arcs and caps in Galois spaces over finite fields $\fq$ with characteristic greater than 3 are constructed from cubic curves with an isolated double point. For a…
Small complete caps from nodal cubics
Nurdagul Anbar, Daniele Bartoli, Massimo Giulietti +1
Bicovering arcs in Galois affine planes of odd order are a powerful tool for constructing complete caps in spaces of higher dimensions. In this paper we investigate whether some ar…