### Dabeen Lee (이다빈), From coordinate subspaces over finite fields to ideal multipartite uniform clutters

### Dabeen Lee (이다빈), From coordinate subspaces over finite fields to ideal multipartite uniform clutters

Take a prime power $q$, an integer $n\geq 2$, and a coordinate subspace $S\subseteq GF(q)^n$ over the Galois field $GF(q)$. One can associate with $S$ an $n$-partite $n$-uniform clutter $\mathcal{C}$, where every part has size $q$ and there is a bijection between the vectors in $S$ and the members of $\mathcal{C}$. In this paper, we …