4 papers
Rank metric codes from Drinfeld modules
Giacomo Micheli, Mihran Papikian
We establish a connection between Drinfeld modules and rank-metric codes, focusing on the case of semifield codes. Our method constructs rank-metric codes from linear subspaces of…
Optimal Rank-Metric Codes with Rank-Locality from Drinfeld Modules
Luca Bastioni, Mohamed O. Darwish, Giacomo Micheli
We introduce a new technique to construct rank-metric codes using the arithmetic theory of Drinfeld modules over global fields, and Dirichlet Theorem on polynomial arithmetic progr…
On the Riemann Hypothesis for Drinfeld Modules
Giacomo Micheli
In this paper we provide a short proof of the Riemann Hypothesis for Drinfeld modules which uses only basic notions from the theory of global function fields and of Drinfeld module…
Codes from -invariant polynomials
Giacomo Micheli, Vincenzo Pallozzi Lavorante, Phillip Waitkevich
Let be a prime power. This paper provides a new class of linear codes that arises from the action of the alternating group on combined with the ide…