Hg 0 82 Re 0 18 Ba 2 Ca 2 Cu 3 O 8+ polycrystalline samples were successfully obtained by using different oxygen partial pressure in the annealing treatment of the precursor ceramic. The doping state was confirmed by X-ray powder diffraction pattern analysis and by observing distinct thermopower values at room temperature. Also, the intergrain regions have shown an improvement in the critical current density when using the precursor preparation with 10% O 2 and 90% Ar (optimal doped). The optimal doped sample has presented the highest exponent of the [1 () 2 ] dependence. For the case of (Hg,Re)-1223 polycrystalline superconductor applications, the exponent can be used as a junction quality parameter.Index Terms-Critical current density, high-, (Hg,Re)-1223 samples, thermoelectric power.