A 3-(v, 4, 1) PACKING CONSTRUCTION

Abstract

The packing number D(v,k,t) is the maximum number of blocks for any t-(v,k,1) packing. A construction for 3-(v,4,1) is given, which when applied to v ≡ 5(mod 6) produces packings which can improve the packing number for 2v + 1 in certain cases. In some cases, it can achieve the bound e.g. it is shown that D(27, 4, 3) = 702