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math.NT2026
F-sets of arbitrary finite width
Alessandro Giannoni
Ferraguti and Micheli conjectured that non-trivial -sets of every prescribed width exist over each finite field. We prove the finite-width part of their conjecture over $\mathbb…
math.NT2026
A General Construction of Codes from Drinfeld Modules
Alessandro Giannoni, Giacomo Micheli, Mihran Papikian
We construct additive rank-metric and sum-rank-metric codes from Drinfeld modules by restricting bounded-degree morphisms to prime-to-characteristic torsion. For supersingular Drin…