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An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes - MaRDI portal

An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes (Q1924247)

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scientific article; zbMATH DE number 935001
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An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes
scientific article; zbMATH DE number 935001

    Statements

    An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes (English)
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    21 April 1997
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    It is shown that the existence of a \((t,t+k,s)\)-net in base \(b\) is equivalent to the existence of a set of \(s\) strongly orthogonal hypercubes of dimension \(t+k\), order \(b\) and strength \(k\). The relationships between nets, orthogonal arrays and ordered orthogonal arrays are also discussed.
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    strongly orthogonal hypercubes
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    nets
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    orthogonal arrays
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