On quasi-symmetric designs with intersection difference three

Abstract

In a recent paper, Pawale [22] investigated quasi-symmetric 2-(v, k, lambda) designs with intersection numbers x > 0 and y = x + 2 with lambda > 1 and showed that under these conditions either lambda = x + 1 or lambda = x + 2, or D is a design with parameters given in the form of an explicit table, or the complement of one of these designs. In this paper, quasi-symmetric designs with y-x = 3 are investigated. It is shown that such a design or its complement has parameter set which is one of finitely many which are listed explicitly or lambd