2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128627Given a finite residue field $k$, one looks for a smoothness basis that is invariant under the automorphism group of $k$. We construct models for some finite fields that admit such a basis. This work aims at accelerating algorithms for computing discrete logarithms in some finite residue fields.Number Theory11T30; 14L10text