  We investigate the possibility of realizing a topological state in the
impurity band formed by a chain of classical spins embedded in a
two-dimensional singlet superconductor with Rashba spin-orbit coupling. In
contrast to similar proposals which require a helical spin texture of the
impurity spins for a nontrivial topology, here we show that spin-flip
correlations due to the spin-orbit coupling in the superconductor produces a
topological state for ferromagnetic alignment of the impurity spins. From the
Bogoliubov-de Gennes equations we derive an effective tight-binding model for
the subgap states which resembles a spinless superconductor with long-range
hopping and pairing terms. We evaluate the topological invariant, and show that
a topologically non-trivial state is generically present in this model.
