Search results for "Majumdar"

On extremal intersection numbers of a block design

1982

K.N. Majumdar has shown that for a 2-(v, k, @l) design D there are three numbers @a, @t, and @S such that each intersection number of D is not greater than @S and not less than max{@a, @t}. In this paper we investigate designs having one of these 'extremal' intersection numbers. Quasisymmetric designs with at least one extremal intersection number are characterized. Furthermore, we show that a smooth design D having the intersection number @S or @a>0 is isomorphic to the system of points and hyperplanes of a finite projective space. Using this theorem, we can characterize all smooth strongly resolvable designs.