  We show that an attack based on the linear decomposition method introduced by
the author can be efficiently applied to the new version of the MOR scheme
proposed in \cite{BMSS}. We draw attention to some inaccuracies in the
description of this version. We show how the action of an exponent of a given
automorphism (for example, the action of its inverse) can be calculated, and we
also show how the unknown exponent of automorphism can be calculated if we go
over to the corresponding linear transformation. This method can be applied to
different matrix groups over an arbitrary constructive field. It does not
depend on the specific properties of the underlined matrix group. The
considered problem is reduced in probabilistic polynomial time to the similar
problem in small extensions of the underlined field.
