Cyclically covering subspaces in ${\mathbb{F}}_2^n$

James Aaronson, Carla Groenland, Tom Johnston

A subspace of ${\mathbb{F}}_2^n$ is called cyclically covering if every vector in ${\mathbb{F}}_2^n$ has a cyclic shift which is inside the subspace. Let $h_2(n)$ denote the largest po…