  We relate the structure factor $S(\mathbf{k} \to \mathbf{0})$ in a system of
jammed hard spheres of number density $\rho$ to its complexity per particle
$\Sigma(\rho)$ by the formula $S(\mathbf{k} \to \mathbf{0})=-1/
[\rho^2\Sigma''(\rho)+2\rho\Sigma'(\rho)]$. We have verified this formula for
the case of jammed disks in a narrow channel, for which it is possible to find
$\Sigma(\rho)$ and $S(\mathbf{k})$ analytically. Hyperuniformity, which is the
vanishing of $S(\mathbf{k} \to \mathbf{0})$, will therefore not occur if the
complexity is nonzero. An example is given of a jammed state of hard disks in a
narrow channel which is hyperuniform when generated by dynamical rules that
produce a non-extensive complexity.
