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math.HO2024
Recent advances on minimal codes
Martin Scotti
In this short survey we concern ourselves with minimal codes, a classical object in coding theory. We will explain the relation between minimal codes and various other mathematical…
math.CO2024
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…