44 citations · 57 across the 28 of their papers we have counts for
3 papers · 1 filter
A geometric invariant of linear rank-metric codes
Valentina Astore, Martino Borello, Marco Calderini +1
Rank-metric codes have been a central topic in coding theory due to their theoretical and practical significance, with applications in network coding, distributed storage, crisscro…
The geometry of covering codes in the sum-rank metric
Matteo Bonini, Martino Borello, Eimear Byrne
We introduce the concept of a sum-rank saturating system and outline its correspondence to a covering properties of a sum-rank metric code. We consider the problem of determining t…
The geometry of intersecting codes and applications to additive combinatorics and factorization theory
Martino Borello, Wolfgang Schmid, Martin Scotti
Intersecting codes are linear codes where every two nonzero codewords have non-trivially intersecting support. In this article we expand on the theory of this family of codes, by s…