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A family of 4-designs with block size 9 - MaRDI portal

A family of 4-designs with block size 9 (Q1842151)

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scientific article; zbMATH DE number 744001
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English
A family of 4-designs with block size 9
scientific article; zbMATH DE number 744001

    Statements

    A family of 4-designs with block size 9 (English)
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    6 August 1995
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    The author provides a new infinite family of \(t\)-designs with a constant value of \(\lambda\); only very few such families are known up to now. This new family has parameters \(t= 4\), \(v= 2^ f+ 1\), \(k= 9\) and \(\lambda= 84\); the designs all admit P\(\Gamma\text{L}(2, q)\) as their full automorphism group.
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    \(t\)-designs
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    automorphism group
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