2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134359We give a new construction of nonlinear error-correcting codes over suitable finite fields k from the geometry of modular curves with many rational points over k, combining two recent improvements on Goppa's construction. The resulting codes are asymptotically the best currently known.10 pagesNumber TheoryInformation TheoryAlgebraic Geometry94B27; 94B65text