Small sets of even type and codewords (Q1385221)

This note is a continuation of some study of codewords for a projective plane begun in [Eur. J. Comb. 15, No. 3, 259-268 (1994; Zbl 0803.51010)] by the authors. In this paper some geometric configurations of points in designs that give rise to vectors in the codes associated with the designs are investigated. In particular the authors look at small sets of points in projective planes of even order that are met evenly by all the lines of the plane, and find vectors of small weight in the binary hull and in the code's orthogonal. The details are too involved to be described here.