Boolean 2-designs and the embedding of a 2-design in a group
Abstract
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 (Z2)n as the set of points and the k-subsets of elements the sum of which is zero as blocks.
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