Abstract: | In this article, we construct overlarge sets of disjoint S(3, 4, 3n − 1) and overlarge sets of disjoint S(3, 4, 3n + 1) for all n ≥ 2. Up to now, the only known infinite sequence of overlarge sets of disjoint S(3, 4, v) were the overlarge sets of disjoint S(3, 4, 2n) obtained from the oval conics of desarguesian projective planes of order 2n. © 1999 John Wiley & Sons, Inc. J Combin Design 7: 311–315, 1999 |