41 citations · 125 across the 60 of their papers we have counts for
9 papers · 1 filter
-fat linearized polynomials over finite fields
Daniele Bartoli, Giacomo Micheli, Giovanni Zini +1
In this paper we prove that the property of being scattered for a -linearized polynomial of small -degree over a finite field is unstable, in th…
Linearized trinomials with maximum kernel
Paolo Santonastaso, Ferdinando Zullo
Linearized polynomials have attracted a lot of attention because of their applications in both geometric and algebraic areas. Let be a prime power, be a positive integer an…
Scattered subspaces and related codes
Giovanni Zini, Ferdinando Zullo
After a seminal paper by Shekeey (2016), a connection between maximum -scattered -subspaces of and maximum rank distance (MRD) codes has been establishe…
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…
On the intersection problem for linear sets in the projective line
Giovanni Zini, Ferdinando Zullo
The aim of this paper is to investigate the intersection problem between two linear sets in the projective line over a finite field. In particular, we analyze the intersection betw…
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…