Ricardo A. Podestá

collaborators

3 papers

math.CO2025

Connected components and non-bipartiteness of generalized Paley graphs

Ricardo A. PodestÃ¡, Denis E. Videla

In this work we consider the class of Cayley graphs known as generalized Paley graphs (GP-graphs for short) given by $I^ (k, q) = C a y (F_{q}, {x^{k} : x \in F_{q}^{*}})$ ,…

math.NT2025

Good iso-dual AG-codes from towers of function fields

MarÃa Chara, Ricardo PodestÃ¡, Luciane Quoos +1

We present a simple method to establish the existence of asymptotically good sequences of iso-dual AG-codes. A key advantage of our approach, beyond its simplicity, is its flexibil…

math.CO2025

Spectral properties of generalized Paley graphs

Ricardo A. PodestÃ¡, Denis E. Videla

We study the spectrum of generalized Paley graphs $I^ (k, q) = C a y (F_{q}, R_{k})$ , undirected or not, with $R_{k} = {x^{k} : x \in F_{q}^{*}}$ where $q = p^{m}$ with $p$ prime and $k\mid…