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arxiv: 1601.04416 · v1 · pith:GHIZHNWMnew · submitted 2016-01-18 · 🧮 math.CO

Unbiased orthogonal designs

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keywords unbiasedmatricesdesignsorthogonalweighingmutuallyquasi-unbiasedapplication
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The notion of unbiased orthogonal designs is introduced as a generalization among unbiased Hadamard matrices, unbiased weighing matrices and quasi-unbiased weighing matrices. We provide upper bounds and several constructions for mutually unbiased orthogonal designs. As an application, mutually quasi-unbiased weighing matrices for various parameters are obtained.

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