41 citations · 125 across the 60 of their papers we have counts for
9 papers · 1 filter
Decoding Trombetti-Zhou codes: a new syndrome-based decoding approach
Chunlei Li, Angelica Piccirillo, Olga Polverino +1
In 2019, Trombetti and Zhou introduced a new family of -linear Maximum Rank Distance (MRD) codes over . For such codes we propose a new syndr…
On the weight distribution of linear sets with complementary weights and related constructions
Geertrui Van de Voorde, Ferdinando Zullo
In this paper, we continue the study of linear sets with complementary weights. We find criteria to determine the set of points of any fixed weight and use this to present particul…
Regular fat linear sets
Valentino Smaldore, Corrado Zanella, Ferdinando Zullo
In this work, we introduce -regular fat linear sets, which are defined as linear sets containing exactly points of weight and all other points of weight one. This no…
Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
Martino Borello, Olga Polverino, Ferdinando Zullo
We study the interplay between the lattice of F_{q^m}-subspaces and the lattice of F_{q^m}-subspaces of an F_{q^m}-vector space. Introducing notions of weight and defect relative t…
On the non-existence of perfect codes in the sum-rank metric
Giuseppe Del Prete, Antonio Roccolano, Ferdinando Zullo
We study perfect codes in the sum-rank metric, a generalization of both the Hamming and rank metrics relevant in multishot network coding and space-time coding. A perfect code atta…
One-weight codes in the sum-rank metric
Usman Mushrraf, Ferdinando Zullo
One-weight codes, in which all nonzero codewords share the same weight, form a highly structured class of linear codes with deep connections to finite geometry. While their classif…