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cs.IT2024
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…
cs.IT2024
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…