Stefano Lia

collaborators

3 papers

math.CO2026

New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256

Jack Gilchrist, Stefano Lia, Arani Paul +1

In this paper we completely classify semifields of order $2^{8} = 256$ containing a nucleus of order $2^{4} = 16$ . We introduce new invariants for semifields, and apply new computational t…

math.AG2026

On the existence of a morphism between certain Artin-Schreier curves

Beatriz Barbero Lucas, Stefano Lia, Gary McGuire

It is well known that, given two curves $X : y^{p} + cy = x^{m}$ and $Y : y^{p} + cy = x^{n}$ , defined over $\F_p$, if $n$ divides $m$ then there exists a nonconstant morphism $\m…

math.AG2024

A generalization of Bring's curve in any characteristic

GÃ¡bor KorchmÃ¡ros, Stefano Lia, Marco Timpanella

Let $p \geq 7$ be a prime, and $m \geq 5$ an integer. A natural generalization of Bring's curve valid over any field $K$ of zero characteristic or positive characteristic $p$ ,…