Affine vector space partitions

Abstract

An affine vector space partition of $\mathrm{AG}(n,q)$ 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.

24 pages, accepted version

References in corpus (1)

• Irreducible subcube partitions

Cited by in corpus (1)

• Irreducible subcube partitions