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 ...
The Annals of Statistics, Vol. 3, No. 5 (Sep., 1975), pp. 1149-1162 (14 pages) Hedayat and John (1974) studied the case of resistance of a balanced incomplete block design (BIBD) to the removal of one ...
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.