Boolean 2-designs and the embedding of a 2-design in a group
Combinatorics
2008-07-03 v2
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 as the set of points and the k-subsets of elements the sum of which is zero as blocks.
Cite
@article{arxiv.0806.3433,
title = {Boolean 2-designs and the embedding of a 2-design in a group},
author = {Andrea Caggegi and Alfonso Di Bartolo and Giovanni Falcone},
journal= {arXiv preprint arXiv:0806.3433},
year = {2008}
}
Comments
Extended abstract of a talk given at the conference Combinatorics 2008, Costermano (Italy) 22-28 June 2008. Removed Corollary 9 (false!)