Abstract
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 language | English |
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Journal | Designs, Codes, and Cryptography |
DOIs | |
State | Accepted/In press - 2023 |
Keywords
- Fano plane
- Finite geometry
- Hitting formulas
- Klein quadric
- Spreads
- Vector space partitions
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science Applications
- Discrete Mathematics and Combinatorics
- Applied Mathematics