Affine vector space partitions

John Bamberg, Yuval Filmus, Ferdinand Ihringer, Sascha Kurz

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalDesigns, Codes, and Cryptography
StateAccepted/In press - 2023


  • Fano plane
  • Finite geometry
  • Hitting formulas
  • Klein quadric
  • Spreads
  • Vector space partitions

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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