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A covering of pairs by quintuples. (English) Zbl 0554.05017

The minimal number of quintuples needed to cover all pairs from n elements is known for all values of n less than 24, with the exception of 16. The author shows that the covering number for 16 elements is 15.
Reviewer: R.G.Stanton

MSC:

05B40 Combinatorial aspects of packing and covering
11H31 Lattice packing and covering (number-theoretic aspects)

Keywords:

covering