On the Parameters and Intersection of Blocks of Balanced Incomplete Block Designs

Abstract

In this investigation we derive a few properties of the intersection of blocks in a balanced incomplete block (b.i.b. for conciseness) design with parameters $v, b, r, k, \lambda$ and discuss the divisibility of $v$ by $k$. The last section deals with certain characteristic properties of symmetric and affine resolvable b.i.b. designs.