AN APPLICATION OF MODIFIED GROUP DIVISIBLE DESIGNS

Let V be a finite set of order m x n, and assume that the points of V are arranged in an array of size m x n. A modified group divisible design is a group divisible design with the difference that each 2-subset {x, y} of V such that x and y are neither in the same row nor in the same column occurs lambda times. In this paper we apply modified group divisible designs to construct covering designs, packing designs, and group divisible designs with block size 5. (C) 1994 Academic Press, Inc.