4 citations · 10 across the 9 of their papers we have counts for
14 papers · 1 filter
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…
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…
On the infiniteness of a family of APN functions
Daniele Bartoli, Marco Calderini, Olga Polverino +1
APN functions play a fundamental role in cryptography against attacks on block ciphers. Several families of quadratic APN functions have been proposed in the recent years, whose co…
On certain linearized polynomials with high degree and kernel of small dimension
Olga Polverino, Giovanni Zini, Ferdinando Zullo
Let be the -linear map over defined by with . It is known that the kernel of has dimensi…
Connections between scattered linear sets and MRD-codes
Olga Polverino, Ferdinando Zullo
The aim of this paper is to survey on the known results on maximum scattered linear sets and MRD-codes. In particular, we investigate the link between these two areas. In "A new fa…