  We update the curves of the effective degrees of freedom for the energy
density $g_*(T)$ and for the entropy density $g_{*S}(T)$ during the era of
radiation domination in the Universe. We find that a plain count of effective
degrees of freedom sets an upper limit to the temperature of the quark-hadron
transition at $T_c< 235$ MeV for the energy density and $T_c< 245$ MeV for the
entropy density.
