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A construction for generalized Hadamard matrices GH(4q,EA(q)) - MaRDI portal

A construction for generalized Hadamard matrices GH(4q,EA(q)) (Q1063366)

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scientific article; zbMATH DE number 3917494
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A construction for generalized Hadamard matrices GH(4q,EA(q))
scientific article; zbMATH DE number 3917494

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    A construction for generalized Hadamard matrices GH(4q,EA(q)) (English)
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    1985
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    We give a construction for a generalized Hadamard matrix GH(4q,EA(q)) as a \(4\times 4\) matrix of \(q\times q\) blocks, for q an odd prime power other than 3 or 5. Each block is a GH(q,EA(q)) and certain combinations of 4 blocks form GH(2q,EA(q)) matrices. Hence a GH(4q,EA(q)) matrix exists for every prime power q.
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    orthogonal arrays
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    generalized Hadamard matrix GH(4q,EA(q))
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    prime power
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