Generalized Amicable Orthogonal Designs: Do They Exist? (Solved)

Summary: The theory of orthogonal designs and amicable orthogonal designs is generalized to include appropriate families of nonsquare matrices. A solved problem is given having to do with generalized orthogonal designs. An unsolved problem has to do with the existence of generalized amicable orthogonal designs.

Classification: Primary, discrete mathematics; Secondary, other: orthogonal designs

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