2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109067In this article, we define the notion of slim (normal) bases and show their existence for various fields. As an application, an algorithm will be given that computes the spectrum of a basefield transform by merely using O(n) additions.11 pages, 1 figureNumber TheorySlim normal Bases and Basefield Transformstext