Affine vector space partitions

John Bamberg,Yuval Filmus,Ferdinand Ihringer,Sascha Kurz

arxiv（2023）

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摘要

n 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.

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affine vector space partitions

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