In a method for production of a corrosion resistant and/or oxidation resistant coating, at least one metal of the platinum group or an alloy thereof is galvanically deposited onto a surface of a substrate, and thereafter the thusly galvanically coated substrate is aluminized. In a first stage of the galvanic deposition process a current magnitude applied for the galvanizing is increased continuously or step-wise beginning from an initial value up to a maximum value, and in a second stage of the galvanic deposition process the current magnitude applied for the galvanizing is maintained constant at the maximum value. The galvanic deposition of the or each metal of the platinum group or the corresponding alloy may be carried out using an open-celled or open-mesh or porous anode.