Abstract
We prove that if an n-dimensional vector space over GF(2) is the irredundant union of k subspaces, and this collection of subspaces has zero intersection, then n>k. This settles a conjecture by G. Bruns.
| Original language | English |
|---|---|
| Pages (from-to) | 315-317 |
| Journal | Discrete Mathematics |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1986 |
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Brouwer, A. E. (1986). An inequality in binary vector spaces. Discrete Mathematics, 59(3), 315-317. https://doi.org/10.1016/0012-365X(86)90177-9