  We study two colors lattice QCD (QC$_2$D) with two flavors of staggered
fermions on $40^4$ and $32^4$ lattices with lattice spacing $a =0.048$~fm in
the wide range of the quark chemical potential $\mu_q$. Our focus is on the
confinement-deconfinement transition in this theory. Thus we compute the string
tension from the Wilson loops and the static quark free energy from the
Polyakov loops. We find that the deconfinement transition found earlier in the
range $\mu_q \approx 800 - 1000$ MeV is shifted to higher values. This shift is
attributed to decreasing of the lattice spacing used in our simulations in
comparison with the earlier study.
