The Waring number of the integers modulo m with respect to k-th powers, denoted by ρ(m, k), is the smallest r such that every integer is a sum of r k-th powers modulo m. This number is also the diameter of an associated Cayley graph, called the Waring graph. In this paper this number is computed when m is a power of 2. More precisely the following result is obtained: Let n, s and b be natural n...
