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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
|
| 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
|
| Author Notes: | Jürgen Bierbrauer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1850972729 | ||
| 003 | DE-627 | ||
| 005 | 20230710185107.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 230626s1992 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/BF02349958 |2 doi | |
| 035 | |a (DE-627)1850972729 | ||
| 035 | |a (DE-599)KXP1850972729 | ||
| 035 | |a (OCoLC)1389828037 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Bierbrauer, Jürgen |d 1948- |e VerfasserIn |0 (DE-588)143427210 |0 (DE-627)704484706 |0 (DE-576)171817583 |4 aut | |
| 245 | 1 | 0 | |a Designs with block-size 6 in projective planes of characteristic 2 |c Jürgen Bierbrauer |
| 264 | 1 | |c 1992 | |
| 300 | |a 18 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 26.06.2023 | ||
| 520 | |a 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. | ||
| 650 | 4 | |a Independent Interest | |
| 650 | 4 | |a Infinite Series | |
| 650 | 4 | |a Projective groupPGL | |
| 650 | 4 | |a Projective Plane | |
| 650 | 4 | |a Small Design | |
| 773 | 0 | 8 | |i Enthalten in |t Graphs and combinatorics |d Tokyo : Springer-Verl. Tokyo, 1985 |g 8(1992), 3, Seite 207-224 |h Online-Ressource |w (DE-627)30018381X |w (DE-600)1481435-3 |w (DE-576)107930668 |x 1435-5914 |7 nnas |a Designs with block-size 6 in projective planes of characteristic 2 |
| 773 | 1 | 8 | |g volume:8 |g year:1992 |g number:3 |g pages:207-224 |g extent:18 |a Designs with block-size 6 in projective planes of characteristic 2 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/BF02349958 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20230626 | ||
| 993 | |a Article | ||
| 994 | |a 1992 | ||
| 998 | |g 143427210 |a Bierbrauer, Jürgen |m 143427210:Bierbrauer, Jürgen |d 110000 |d 110100 |d 110000 |d 110400 |e 110000PB143427210 |e 110100PB143427210 |e 110000PB143427210 |e 110400PB143427210 |k 0/110000/ |k 1/110000/110100/ |k 0/110000/ |k 1/110000/110400/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1850972729 |e 4343614573 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"physDesc":[{"extent":"18 S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"id":{"issn":["1435-5914"],"zdb":["1481435-3"],"eki":["30018381X"]},"origin":[{"publisherPlace":"Tokyo","dateIssuedKey":"1985","publisher":"Springer-Verl. Tokyo","dateIssuedDisp":"1985-"}],"recId":"30018381X","language":["eng"],"note":["Gesehen am 17.03.10"],"disp":"Designs with block-size 6 in projective planes of characteristic 2Graphs and combinatorics","type":{"media":"Online-Ressource","bibl":"periodical"},"part":{"issue":"3","pages":"207-224","year":"1992","extent":"18","text":"8(1992), 3, Seite 207-224","volume":"8"},"pubHistory":["1.1985 -"],"title":[{"title":"Graphs and combinatorics","title_sort":"Graphs and combinatorics"}]}],"name":{"displayForm":["Jürgen Bierbrauer"]},"origin":[{"dateIssuedDisp":"1992","dateIssuedKey":"1992"}],"id":{"eki":["1850972729"],"doi":["10.1007/BF02349958"]},"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 26.06.2023"],"language":["eng"],"recId":"1850972729","person":[{"family":"Bierbrauer","given":"Jürgen","roleDisplay":"VerfasserIn","display":"Bierbrauer, Jürgen","role":"aut"}],"title":[{"title_sort":"Designs with block-size 6 in projective planes of characteristic 2","title":"Designs with block-size 6 in projective planes of characteristic 2"}]} | ||
| SRT | |a BIERBRAUERDESIGNSWIT1992 | ||