Small weight codewords in the dual code of points and hyperplanes in PG(n, q), q even

The main theorem of this article gives a classification of the codewords in ({C^{bot}_{n-1}(n,q)}) , the dual code of points and hyperplanes in PG(n, q), q even, with weight smaller than ({q+sqrt[3]{q^{2}}+1}). In the proof, we rely on the classification of the small blocking sets in PG(2, q), q even.