Giacomo Micheli

collaborators

3 papers

math.NT2026

Stabilization of isogeny spaces between supersingular Drinfeld modules

Giacomo Micheli, Mihran Papikian

Let $p$ be a prime of degree $d$ in $A = F_{q} [T]$ and let $I ¨ , I ¨ $ be supersingular Drinfeld modules of rank $r \geq 2$ in $A$ -characteristic $p$ . We…

cs.IT2026

A New Class of Linear Codes

Akash Bhople, Giacomo Cherubini, Giacomo Micheli +1

Let $n$ be a prime power, $r$ be a prime with $r ∣ n - 1$ , and $ε \in (0, 1/2)$ . Using the theory of multiplicative character sums and superelliptic curves, we construct ne…

math.NT2025

On the Characteristic Polynomial of Linearized Polynomials

Luca Bastioni, Giacomo Micheli, Shujun Zhao

Let $k$ be a finite field, and $L$ be a $q$ -linearized polynomial defined over $k$ of $q$ -degree $r$ ( $L = \sum_{i = 0}^{r} a_{i} Z^{q^{i}}$ , with $a_{i} \in k$ ). This paper provides an algorithm…