91Ó°ÊÓ

Construct two MOLS of order 8 .

Construct a completion of the 3 -by- 6 Latin rectangle \(\left[\begin{array}{llllll}0 & 1 & 2 & 3 & 4 & 5 \\ 4 & 3 & 1 & 5 & 2 & 0 \\\ 5 & 4 & 3 & 0 & 1 & 2\end{array}\right]\)

Construct a completion of the semi-Latin square $$\left[\begin{array}{lllllll}0 & 2 & 1 & & & & 3 \\ 2 & 0 & & 1 & & 3 & \\\3 & & 0 & 2 & 1 & & \\ & 3 & 2 & 0 & & 1 & \\ & & 3 & & 0 & 2 & 1 \\\1 & & & & 3 & 0 & 2 \\\& 1 & & 3 & 2 & & 0\end{array}\right] .$$