The minimum weight of the code of intersecting lines in $\mathrm{PG}(3,q)$

Sam Adriaensen, Robin Simoens, Leo Storme

We characterise the minimum weight codewords of the $p$-ary linear code of intersecting lines in $\mathrm{PG}(3,q)$, $q=p^h$, $q\ge 19$, $p$ prime, $h\ge 1$. If $q$ is even, the mini…