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.

© 1996-9

1999-05-26