Some Additive Designs
Andrea Caggegi (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Given a finite additive abelian group and an integer , with , denote by the simple incidence structure whose point-set is and whose blocks are the -subsets of such that . It is known (see [Caggegi, A., Di Bartolo, A., Falcone, G.: Boolean 2-designs and the embedding of a 2-design in a group arxiv 0806.3433v2, (2008), 1–8.]) that is a 2-design, if is an elementary abelian -group with a prime divisor of . From [Caggegi, A., Falcone, G., Pavone, M.: On the additivity...