Boolean 2-designs and the embedding of a 2-design in a group

Mathematics – Combinatorics

Scientific paper

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Extended abstract of a talk given at the conference Combinatorics 2008, Costermano (Italy) 22-28 June 2008. Removed Corollary

Scientific paper

We try to embed a t-design in a finite commutative group in such a way that
the sum of the k points of a block is zero. We can compute the number of blocks
of the boolean 2-design having all the non zero vectors of $(Z_2)^n$ as the set
of points and the k-subsets of elements the sum of which is zero as blocks.

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