  The hierarchical scenario of structure formation, in the frame of the
$\Lambda$-CDM cosmology, predicts the existence of dark matter (DM) sub-halos
down to very small scales, of which the minimal size depends on the microscopic
properties of the DM. In the context of annihilating DM, such substructures are
expected to enhance the primary cosmic ray (CR) fluxes originating from DM
annihilation in the Galaxy. This enhancement has long been invoked to allow
predictions of imprints of DM annihilation on the antimatter CR spectra. Taking
advantage of the method developed by Lavalle et al (2007b), we (Lavalle et al,
2007a) accurately compute the boost factors for positrons and anti-protons, as
well as the associated theoretical and statistical errors. To this aim, we use
a compilation of the latest results of cosmological N-body simulations and the
theoretical insights found in the literature. We find that sub-halos are not
likely to significantly boost the exotic production of antimatter CRs.
