Recognition of the finite simple groups $F_4(2^m)$ by spectrum

The spectrum of a finite group is the set of its element orders. A finite group $G$ is said to be recognizable by spectrum, if every finite group with the same spectrum as $G$ is isomorphic to $G$. The purpose of the paper is to prove that for every natural $m$ the finite simple Chevalley group $F_4(2^m)$ is recognizable by spectrum.