A CONDITION FOR THE EXISTENCE OF CERTAIN RESOLVABLE 2-DESIGNS

Abstract

A resolvable 2-(v=2k, k, λ₂) design (i.e., a resolvable BIB design with parameters v=2k, b, r, k, λ₂) is characterized as follows: A necessary condition for the existence of a resolvable 2-(v=2k, k, λ₂) design is that r-λ₂ is even. This necessary condition is also sufficient for the practical range of values of k. That design is also a 3-design (i.e., a doubly BIB design).