3 papers
math.CO2026
Almost Affine Vector Rank-Metric Codes
Matteo Bonini, Johan Vester Dinesen
We define almost affine vector rank-metric codes as subsets whose canonical projections have cardinalities that are powers of , and p…
cs.IT2026
Constructions of Rank-Metric Codes of Small Tensor Rank
Matteo Bonini, Eimear Byrne, Giuseppe Cotardo
Rank-metric codes are subspaces of matrices over finite fields endowed with the rank metric and admit a natural tensorial representation. The tensor rank provides a measure of the…
math.CO2025
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…