Repeated blocks in maximum packing of triples with index 2

Abstract We 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).