A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codes

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72278We prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound to one and two point codes over both the Suzuki and Hermitian curves.7 pages (fixed typos in second submission)Number TheoryAlgebraic Geometry11T71A Generalized Floor Bound for the Minimum Distance of Geometric Goppa Codes and its Application to Two-Point Codestext