G. Longobardi

activity

20192026

most citedLinear sets and MRD-codes arising from a class of scattered linearized polynomials

25 citations · 31 across the 18 of their papers we have counts for

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math.HO2024

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…

math.CO2024

A geometric characterization of known maximum scattered linear sets of $PG (1, q^{n})$

Giovanni Giuseppe Grimaldi, Somi Gupta, Giovanni Longobardi +1

An $F_{q}$ - linear set $L = L_{U}$ of $Λ = PG (V, F_{q^{n}}) ≅ PG (r - 1, q^{n})$ is a set of points defined by non-zero vectors of an $F_{q}$ -subspac…

Scattered polynomials: an overview on their properties, connections and applications

A geometric characterization of known maximum scattered linear sets of PG(1,qn)

A geometric characterization of known maximum scattered linear sets of $PG (1, q^{n})$