2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134367In recent work, J. Hansen uses cohomological methods to find a lower bound for the minimum distance of an evaluation code determined by a reduced complete intersection in the projective plane. In this paper, we generalize Hansen's results from P^2 to P^m; we also show that the hypotheses in Hansen's work may be weakened. The proof is succinct and follows by combining the Cayley-Bacharach theorem and bounds on evaluation codes obtained from reduced zero-schemes.10 pages. v2: minor expository changesAlgebraic GeometryInformation TheoryCommutative Algebra14G50 (Primary) 94B27 (Secondary)text