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Affine vector space partitions
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classification
math.CO
keywords
affinepartitionsspacevectorsizesarbitraryclassesconstructions
abstract
An affine vector space partition of $\operatorname{AG}(n,q)$ 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.
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