An Erdős-Ko-Rado theorem for regular intersecting families of octads (Q1821104)
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scientific article; zbMATH DE number 3997804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An Erdős-Ko-Rado theorem for regular intersecting families of octads |
scientific article; zbMATH DE number 3997804 |
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An Erdős-Ko-Rado theorem for regular intersecting families of octads (English)
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1986
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A regular intersecting family F in the Witt system S(5,8,24) is a collection of pairwise non-disjoint octads forming a 1-design. It is proved that \(| F| \leq 69\) with equality if and only if F is a quasi-symmetric 2-(24,8,7) designs. The non-existence of such a quasi- symmetric design is then proved by techniques from coding theory.
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Golay code
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quasi-symmetric design
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