Some new 2-resolvable Steiner quadruple systems

Zaicev, Zinoviev and Semakov [12] and, independently, Baker [1], constructed 2-resolvableS(3, 4, 4ⁿ) for all . However, no 2-resolvableS(3, 4,v),v4, were known for any other value ofv. In this paper, we construct infinite classes of 2-resolvableS(3, 4,v) for values ofv that are not a power of 4. In particular, we construct a 2-resolvableS(3, 4, 100).Research supported by NSF grant DMS-9123727.