On weighted minihypers in finite projective spaces of square order

Abstract

In [11], weighted {delta(q + 1), delta; k - 1, q}-minihypers, q square, were characterized as a sum of lines and Baer subgeometries PG(3 root q) provided delta is sufficiently small. We extend this result to a new characterization result on weighted {delta upsilon(mu+1),delta upsilon(mu); k - 1, q}-minihypers. We prove that such minihypers are sums of p-dimensional subspaces and of (projected) (2 mu + 1)-dimensional Baer subgeometries