On strongly minimal asymptotic bases of order $h$ generated by powers of $2$

Shi-Qiang Chen, Xin-Yue Yan

Let $h\ge 2$ be an integer and let ${\mathbb{N}}_0=W_1\cup \cdots \cup W_h$ be a partition into infinite sets. For $W\subseteq {\mathbb{N}}_0$, let $A(W)$ denote the set of all finite non…