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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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
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| In: |
Graphs and combinatorics
Year: 1992, Volume: 8, Issue: 3, Pages: 207-224 |
| ISSN: | 1435-5914 |
| DOI: | 10.1007/BF02349958 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF02349958
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| Author Notes: | Jürgen Bierbrauer |
| Summary: | 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. |
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| Item Description: | Gesehen am 26.06.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1435-5914 |
| DOI: | 10.1007/BF02349958 |