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Designs with block-size 6 in projective planes of characteristic 2

We construct simple 3-designs and 4-designs of block-size 6 in the classical projective planesPG(2,q),q a power of 2. All of our designs are invariant under the projective groupPGL(3,q). Aside from several infinite series of 3-designs we get some relatively small designs of independent interest, e.g...

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Bibliographische Detailangaben
1. Verfasser: Bierbrauer, Jürgen (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1992
In: Graphs and combinatorics
Year: 1992, Jahrgang: 8, Heft: 3, Pages: 207-224
ISSN:1435-5914
DOI:10.1007/BF02349958
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF02349958
Volltext
Verfasserangaben:Jürgen Bierbrauer
Beschreibung
Zusammenfassung:We construct simple 3-designs and 4-designs of block-size 6 in the classical projective planesPG(2,q),q a power of 2. All of our designs are invariant under the projective groupPGL(3,q). Aside from several infinite series of 3-designs we get some relatively small designs of independent interest, e.g. designs with parameters 4-(21, 6, 16) and 4-(73, 6, 330) defined in the planes of orders 4 and 8, respectively.
Beschreibung:Gesehen am 26.06.2023
Beschreibung:Online Resource
ISSN:1435-5914
DOI:10.1007/BF02349958

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