Disjoint weighing matrices

Published 7 Feb 2020 in math.CO | (2002.02566v2)

Abstract: The notion of disjoint weighing matrices is introduced as a generalization of orthogonal designs. A recursive construction along with a computer search lead to some infinite classes of disjoint weighing matrices, which in turn are shown to form commutative association schemes with 3 or 4 classes.

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