General	Partition	Incidence	Array
Experimental	Other designs	Math properties	Stat properties
Server	External	Bibliography	Miscellanea

Designs related to Latin squares

Combinatorial structures equivalent to Latin squares include nets of degree 3, and orthogonal arrays of strength 2 and index 1. Equivalent algebraic structures are quasigroups and loops.

A Latin square is also equivalent to a transversal design having three groups of size n and n² blocks of size 3, so that two points in different groups lie in a unique block.

Related structures include MOLS and nets of arbitrary degree, as well as more general orthogonal arrays.

Other generalisations include semi-Latin squares and SOMAs.

Table of contents | Glossary | Topics | Bibliography | History

Peter J. Cameron
2 August 2002