From the 1 of 6 linked papers with an AI index.
6 papers
Generalizing a family of scattered quadrinomials in
Alessandro Giannoni, Giovanni Giuseppe Grimaldi, Giovanni Longobardi +1
The paper establishes sufficient conditions under which a family of quadrinomials over finite fields are scattered, extending previously known families and analyzing their equivale…
q-Polymatroids associated with restricted rank-metric codes
Eimear Byrne, Giovanni Longobardi, and Rocco Trombetti
In this article, we study polymatroids that are representable by means of linear restricted rank-metric codes, namely, by subspaces of the space of alternating, symmetric, or Hermi…
Towards the classification of maximum scattered linear sets of
Stefano Lia, Giovanni Longobardi, Corrado Zanella
Every maximum scattered linear set in is the projection of an -subgeometry of from a plane external to the secant…
Scattered polynomials: an overview on their properties, connections and applications
Giovanni Longobardi
The aim of this survey is to outline the state of the art in research on a class of linearized polynomials with coefficients over finite fields, known as scattered polynomials. The…
A lower bound on the minimum weight of some geometric codes
Bence Csajbók, Giovanni Longobardi, Giuseppe Marino +1
The -ary code associated with the incidence structure of points and -spaces in a projective space , where , is the -subspace generated…
Minimal codes from hypersurfaces in even characteristic
Angela Aguglia, Luca Giuzzi, Giovanni Longobardi +1
The setting of projective systems can be used to study the parameters of a projective linear code . This can be done by considering the intersections of the point set…