stichting mathematisch centrum

Wilson's construction for mutually orthogonal Latin squares is generalized. This generalized construction is used to improve known bounds on the function n"r (the largest order for which there do not exist r MOLS). In particular we find n"7=<780, n"8=<4738, n"9=<5842, n"1"0=<7222, n"1"1=<7478, n"1"2=<9286, n"1"3=<9476, n"1"5=<10632.