Counting subspaces with prescribed Welch sums

Kaimin Cheng, Jie Hu

Let $q=2^n$ with $n=2m+1$ for an integer $m\ge 1$, and let ${\mathbb{F}}_q$ be the finite field with $q$ elements. Let $W_n(x)=x^{2^m+3}$ be the Welch function on ${\mathbb{F}}_q$. Fo…