2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/256In this note is we exhibit an elementary method to construct explicitly curves over finite fields with many points. Despite its elementary character the method is very efficient and can be regarded as a partial substitute for the use of class field theory.Plain Tex, 6 pagesAlgebraic GeometryConstructing curves over finite fields with many points by solving linear equationstext