Affine vector space partitions
Combinatorics
2023-10-17 v2
Abstract
An affine vector space partition of 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.
Cite
@article{arxiv.2211.16561,
title = {Affine vector space partitions},
author = {John Bamberg and Yuval Filmus and Ferdinand Ihringer and Sascha Kurz},
journal= {arXiv preprint arXiv:2211.16561},
year = {2023}
}
Comments
24 pages, accepted version