Abstract
Abstract There is a famous construction of orthogonal arrays by Bose ( 1947 , Sankhya 8, 107–166). The construction uses linear transformations over a finite field. We generalize this method by considering non-linear functions instead of linear transformations and a subset of a vector space as their domains. We show here constructions of orthogonal and balanced arrays by using quadratic functions over finite fields of even prime power orders.
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