ABSTRACT
The notation B(k, λ) is used for the set of v values for which a BIBD(v, k, λ) is known. Theorem IV.3.7 establishes that, for every fixed k and λ, there is a constant C(k, λ), so that if v > C(k, λ) and v satisfies λ(v−1) ≡ 0 (mod k−1) and λv(v−1) ≡ 0 (mod k(k − 1)), then there exists a BIBD(v, k, λ). Table 3.3 summarizes the known results for k ≤ 9.
