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

摘要

The main theorem of this article gives a classification of the codewords in C_(n-1)~⊥,(n,q), the dual code of points and hyperplanes in PG(n, q), q even, with weight smaller than q + q~2~(1/3) + 1. In the proof, we rely on the classification of the small blocking sets in PG(2, q), q even.