Unbiased orthogonal designs |
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Authors: | Hadi Kharaghani Sho Suda |
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Affiliation: | 1.Department of Mathematics and Computer Science,University of Lethbridge,Lethbridge,Canada;2.Department of Mathematics Education,Aichi University of Education,Kariya,Japan |
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Abstract: | The notion of unbiased orthogonal designs is introduced as a generalization of unbiased Hadamard matrices, unbiased weighing matrices and quasi-unbiased weighing matrices. We provide upper bounds and several methods of construction for mutually unbiased orthogonal designs. As an application, mutually quasi-unbiased weighing matrices for various parameters are obtained. |
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