Geometric Hyperplanes of the Dual Half-Spin Geometry

  •  Abdelsalam Abou Zayda    


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

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