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Affine vector space partitions

Title data

Bamberg, John ; Filmus, Yuval ; Ihringer, Ferdinand ; Kurz, Sascha:
Affine vector space partitions.
In: Designs, Codes and Cryptography. (23 June 2023) .
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-023-01263-z

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Official URL: Volltext

Abstract in another language

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
Refereed: Yes
Keywords: finite geometry; vector space partitions; spreads; Klein quadric; Fano plane; hitting formulas
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
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 02 Jul 2024 06:17
Last Modified: 02 Jul 2024 07:26
URI: https://eref.uni-bayreuth.de/id/eprint/89881

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