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Affine vector space partitions

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00006775
URN to cite this document: urn:nbn:de:bvb:703-epub-6775-5

Title data

Bamberg, John ; Filmus, Yuval ; Ihringer, Ferdinand ; Kurz, Sascha:
Affine vector space partitions.
Bayreuth , 2022 . - 24 S.

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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: Preprint, postprint
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-6775-5
Date Deposited: 30 Nov 2022 06:56
Last Modified: 30 Nov 2022 06:56
URI: https://epub.uni-bayreuth.de/id/eprint/6775

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