An ordinary block design has v points, blocks of size k ,a nd each of the � v 2 � unordered pairs of points is contained in a common number λ of blocks. In 2007, Sarvate and Beam introduced a variation where rather than covering all pairs a constant number of times, one wishes to cover all pairs a different number of times. It is of greatest interest when these
['Peter Dukes', 'Jesse Short-Gershman']
A complete existence theory for Sarvate-Beam triple systems ∗