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DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00007765
URN to cite this document: urn:nbn:de:bvb:703-epub-7765-5
URN to cite this document: urn:nbn:de:bvb:703-epub-7765-5
Title data
Bamberg, John ; Filmus, Yuval ; Ihringer, Ferdinand ; Kurz, Sascha:
Affine vector space partitions.
In: Designs, codes and cryptography.
(23 June 2023)
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ISSN 1573-7586
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Abstract
An affine vector space partition of AG(n,q) is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate equivalence classes of affine vector space partitions for small parameters. We also give parametric constructions for arbitrary field sizes.
Further data
| Item Type: | Article in a journal |
|---|---|
| Keywords: | finite geometry; vector space partitions; spreads; Klein quadric; Fano plane; hitting formulas |
| DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-7765-5 |
| Date Deposited: | 02 Jul 2024 06:17 |
| Last Modified: | 02 Jul 2024 06:20 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/7765 |
Available Versions of this Item
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Affine vector space partitions. (deposited 30 Nov 2022 06:56)
- Affine vector space partitions. (deposited 02 Jul 2024 06:17) [Currently Displayed]
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