From coordinate subspaces over finite fields to ideal multipartite uniform clutters

Ahmad Abdi, Dabeen Lee

Take a prime power $q$, an integer $n\ge 2$, 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 cl…