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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…
math.CO2024
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…