3 papers
math.CO2026
A geometric approach to generalized covering radii of linear codes
Gianira N. Alfarano, Giuseppe Marino, Alessandro Neri +1
Covering problems in coding theory are closely related to finite geometry through the interpretation of the columns of parity-check matrices as point sets in finite vector spaces.…
math.CO2025
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…
math.CO2024
A geometric characterization of known maximum scattered linear sets of
Giovanni Giuseppe Grimaldi, Somi Gupta, Giovanni Longobardi +1
An - linear set of is a set of points defined by non-zero vectors of an -subspa…