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math.AG2022
Minimal codewords in Norm-Trace codes
Daniele Bartoli, Matteo Bonini, Marco Timpanella
In this paper, we consider the affine variety codes obtained evaluating the polynomials , , at the affine $\F_{q^r}$-rational po…
math.CO2022
Saturating systems and the rank covering radius
Matteo Bonini, Martino Borello, Eimear Byrne
We introduce the concept of a rank saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider the problem of finding the value…