  Simple Lie algebras of finite dimension over an algebraically closed field of
characteristic 0 or $p> 3$ were recently classified. However, the problem over
an algebraically closed field of characteristics 2 or 3 there exist only
partial results. The first result on the problem of classification of simple
Lie algebra of finite dimension over an algebraically closed field of
characteristic 2 is that these algebras have absolute toral rank greater than
or equal to 2. In this paper we show that there are not simple Lie 2-algebras
with toral rank 3 over an algebraically closed field of characteristic 2 and
dimension less or equal to 16.
