Giacomo Micheli

Skew cyclic codes through Drinfeld modules

We construct skew cyclic codes in the rank metric from the torsion of the supersingular Drinfeld module $\phi_T=t+\tau^n$ over $\mathbb{F}_{q^r}$, where $t$ is a root of a monic irreducible $\mathfrak{p}_0\in\mathbb{F}_q[T]$ of degree $r$ coprime to $n$. For every prime $\mathfrak{p}\neq\mathfrak{p}_0$ of degree $d$ an...