More mutually orthogonal latin squares

Abstract

AbstractWilson's construction for mutually orthogonal Latin squares is generalized. This generalized construction is used to improve known bounds on the function nr (the largest order for which there do not exist r MOLS). In particular we find n7⩽780, n8⩽4738, n9⩽5842, n10⩽7222, n11⩽7478, n12⩽9286, n13⩽9476, n15⩽10632

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