Even when a parameter set (v, k, λ) satisfies the necessary conditions for the existence of a Balanced Incomplete Block (BIB) design, the actual design may not exist or its existence may be unknown.

This is a preview. Log in through your library . Abstract Nondegenerate quadrics in finite Euclidean geometry are defined and a method of obtaining these from nondegenerate quadrics in finite ...

Several important series of balanced incomplete block designs can be derived from orthogonal factorial designs. One is the series on balanced lattice of Yates (1936); refer to page 396 of Cochran and ...

A graph G with vertex set V is said to be n-existentially closed (or n-e.c. for short) if, for every proper subset S of V with |S|=n and every subset T of S, there exists a vertex x in V-S such that x ...