Affine vector space partitions

Titelangaben

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

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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.