Enumeration of MOLS of small order
  We report the results of a computer investigation of sets of mutually orthogonal latin squares (MOLS) of small order. For $n\le9$ 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 of latin squares of order 10 that is the closest to being a set of MOLS so far found. 
Judith Egan and Ian M. Wanless
math.CO