Discrete Fourier Transform Approach to Cyclically Covering Subspaces of ${\mathbb{F}}_q^n$

Yangcheng Li, Pingzhi Yuan

Let $q$ be a prime power and $n$ a positive integer. A subspace \( U \subseteq \mathbb{F}_q^n \) is called cyclically covering if the union of all its cyclic shifts covers the whol…