25 citations · 31 across the 18 of their papers we have counts for
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Near-uniform -matroids
Giovanni Longobardi, Rocco Trombetti, Lei Xu
We study the -matroids associated with nondegenerate $\F_{q^m}$-linear near-MRD codes, which we call near-uniform -matroids. Using the correspondence between rank-metric code…
The classification of maximum scattered linear sets of
Giovanni Longobardi, Valentina Pepe
We classify the maximum scattered -linear sets of , proving that every such set is of pseudoregulus type or of Lunardon-Polverino type. Building o…
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…
Generalizing a family of scattered quadrinomials in
Alessandro Giannoni, Giovanni Giuseppe Grimaldi, Giovanni Longobardi +1
In recent years, several efforts have focused on identifying new families of scattered polynomials. Currently, only three families in are known to exist for i…