## Transversal Design

A transversal design of order , block size , and index is a triple (, , ) such that

1. is a set of elements,

2. is a partition of into classes, each of size (the groups''),

3. is a collection of -subsets of (the blocks''), and

4. Every unordered pair of elements from is contained in either exactly one group or in exactly blocks, but not both.

References

Colbourn, C. J. and Dinitz, J. H. (Eds.) CRC Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, p. 112, 1996.