$6\times 6$ partial mutually orthogonal latin squares

Question

I know that $6\times 6$ MOLS cannot be constructed, but if I am not mistaken we can draw up two MOLS that are $6 \times 6$ with $34$ distinct pairs of symbols. However, I am not able to find this construction of MOLS. Could someone show me what it would be like?

[EDIT: MOLS = Mutually Orthogonal Latin Squares]

Answer 1

It was found by Joseph Douglas Horton, Sub-latin squares and incomplete orthogonal arrays, Journal of Combinatorial Theory, Series A, 16 (1974) 23-33. Unfortunately, I don't have access to this journal. Interlibrary loan could probably help you.

Edit (Douglas S. Stones): The JDH paper gave a pair of orthogonal partial Latin squares, which I edited to give this pair:

5 6 3 4 1 2
2 1 6 5 3 4
6 5 1 2 4 3
4 3 5 6 2 1
1 4 2 3 5 .
3 2 4 1 . 6

1 2 5 6 3 4
6 5 1 2 4 3
4 3 6 5 1 2
5 6 4 3 2 1
2 4 3 1 6 .
3 1 2 4 . 5