A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Enumeration of MOLS of small order

2015
*
Mathematics of Computation
*

We report the results of a computer investigation of sets of mutually orthogonal Latin squares (MOLS) of small order. For n 9 we: (1) determine the number of orthogonal mates for each species of Latin square of order n; (2) calculate the proportion of Latin squares of order n that have an orthogonal mate, and the expected number of mates when a square is chosen uniformly at random; (3) classify all sets of MOLS of order n up to various different notions of equivalence. We also provide a triple

doi:10.1090/mcom/3010
fatcat:ougyaxarqzeujihucyyk54eb3y