New Wilson-type constructions of mutually orthogonal latin squares

AbstractSome new constructions of mutually orthogonal Latin squares are shown. Moreover, if N(n) denotes the maximum number of mutually orthogonal Latin squares of order n, then it is proved that N(n)⩾7 for n>1750

Five mutually orthogonal latin squares of orders 24

Abstract Let N(n) denote the maximum number of mutually orthogonal Latin squares of order n. It is proved that N(24) and N(40)>~5