Der Darstellungssatz der Allgemeinen Differenzenmethode.
The notion of designs in Grassmannian spaces was introduced by the author and R. Coulangeon, G. Nebe, in [3]. After having recalled some basic properties of these objects and the connections with the theory of lattices, we prove that the sequence of Barnes-Wall lattices hold -Grassmannian designs. We also discuss the connections between the notion of Grassmannian design and the notion of design associated with the symmetric space of the totally isotropic subspaces in a binary quadratic space, which...
There are four resolvable Steiner triple systems on fifteen elements. Some generalizations of these systems are presented here.
The main results are the inequalities (1) and (6) for the minimal number of -structure classes,which improve the ones from [3], and also some geometrical connections, especially the inequality (13).