How to minimize or maximize a function over a finite field in WolframAlpha?

Question

Is it possible to ask WolframAlpha to minimize or maximize a function with variables in a finite field?

Let's take a stupid example: how do I ask WolframAlpha to maximize $x_1+x_2$ with $x_1, x_2\in\mathbb{Z}_2$?

Thanks!

Edit: let's consider, in $\mathbb{Z}_2$, the order $[0]<[1]$.