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On \(c\)-Bhaskar Rao designs with block size 3 and negative \(c\) - MaRDI portal

On \(c\)-Bhaskar Rao designs with block size 3 and negative \(c\) (Q2747175)

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scientific article; zbMATH DE number 1657294
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On \(c\)-Bhaskar Rao designs with block size 3 and negative \(c\)
scientific article; zbMATH DE number 1657294

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    9 October 2002
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    Bhaskar-Rao designs
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    On \(c\)-Bhaskar Rao designs with block size 3 and negative \(c\) (English)
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    The Bhaskar-Rao designs considered here arise from incidence matrices of block designs with block size \(3\) by replacing each entry \(1\) by either a real \(1\) or a real \(-1\) such that any two rows have the same inner product \(c.\) The main result is a set of conditions which are necessary and sufficient for existence when \(c\leq -2.\) For larger \(c\) necessary and sufficient conditions had been known before.
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