Geometric Hyperplanes of the Dual Half-Spin Geometry

Abstract

We will present two types of geometric hyperplanes of the dual half-spin geometry D5,3 , the class of subspaces of kind<br />p&perp; (p is a point in D5,3) and substructures called Shult sets are determined to be hyperplanes of such geometry. Moreover<br />we construct a binary constant weight code using the hyperplanes of the geometry