Author

G. Longobardi

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Open access Sep 2026

Multisets Meeting Lines in 0 Modulo p Points and an Improvement of the Bagchi-Inamdar Bound

The p-ary code associated with the incidence structure of points and t-spaces in a projective space PG(m,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \...

Bence Csajbók, G. Longobardi, G. Marino et al. · Combinatorica · 0 citations

Preprint Sep 2026

Near-uniform $q$-matroids

We study the $q$-matroids associated with nondegenerate $\F_{q^m}$-linear near-MRD codes, which we call near-uniform $q$-matroids. Using the correspondence between rank-metric codes and their associated $q$-systems, we determine explicitly their rank functions and characterize their cyclic flats. We show that near-unif...

G. Longobardi, R. Trombetti, Lei Xu · 0 citations