2 citations · 3 across the 5 of their papers we have counts for
7 papers
Clubs and their applications
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
Clubs of rank k are well-celebrated objects in finite geometries introduced by Fancsali and Sziklai in 2006. After the connection with a special type of arcs known as KM-arcs, they…
Classifications and constructions of minimum size linear sets
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
This paper aims to study linear sets of minimum size in the projective line, that is -linear sets of rank in admitting one point of weight on…
Two pointsets in and the associated codes
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
In this paper we consider two pointsets in arising from a linear set of rank contained in a line of : the first one is a linear blo…
Linear sets on the projective line with complementary weights
Vito Napolitano, Olga Polverino, Paolo Santonastaso +1
Linear sets on the projective line have attracted a lot of attention because of their link with blocking sets, KM-arcs and rank-metric codes. In this paper, we study linear sets ha…
Codes with few weights arising from linear sets
Vito Napolitano, Ferdinando Zullo
In this article we present a class of codes with few weights arising from special type of linear sets. We explicitly show the weights of such codes, their weight enumerator and pos…
Linear sets from projection of Desarguesian spreads
Vito Napolitano, Olga Polverino, Giovanni Zini +1
Every linear set in a Galois space is the projection of a subgeometry, and most known characterizations of linear sets are given under this point of view. For instance, scattered l…
On the Ubiquity and Utility of Cyclic Schemes
M. Abreu, M. J. Funk, D. Labbate +1
Let , and be positive integers. A --{\it scheme of valency} and {\it order} is a array of subsets $S_{ij} \subset…