Existence of Five MOLS of Orders 18 and 60. Issue 4 (23rd December 2013) - Julian, R.
Abstract In this article, we provide direct constructions for five mutually orthogonal Latin squares (MOLS) of orders v=18 and 60. For v=60, these come from a new (60, 6, 1) difference matrix. For v=18, the required construction is obtained by combining two different methods that were used in the constructions of four MOLS(14) and eight MOLS(36).