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

Narong Punnim, Dinesh G. Sarvate

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 tov?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.

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