Repeated blocks in maximum packing of triples with index 2

AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of triples of order v and index 2 (MPT(v,2)), v≡2(mod 3). This problem is equivalent to determining the spectrum of repeated blocks in an MPT (v,2) for v≡2(mod 3). This problem for v ≡ 0, 1 (mod 3) has been solved by Rosa and Hoffman (1986)