In a heat exchanger wall construction especially for a wall forming regeneratively cooled combustion chambers for liquid fueled rocket engines, comprising a unitary inner wall formed of oxygen-free copper, said inner wall having an inner surface and an outer surface with the inner surface arranged to be contacted by a high-temperature medium, said inner wall shaped to provide cooling channels extending inwardly from said outer surface toward and spaced from said inner surface, and said inner wall including webs positioned between and laterally spacing said cooling channels and defining the outer surface of said inner wall, said cooling channels being open at the outer surface of said inner wall, said cooling channels arranged to be traversed by at least one cooling medium such as one of the fuel components used in a liquid-fueled rocket engine, an outer wall covering the outer surface of said inner wall and said outer wall comprising an electro-deposited relatively thin-walled intermediate-layer formed on said inner wall and spanning and closing the outer open ends of said cooling channnels and a relatively thick-walled pressure jacket formed of a high-strength metallic material electro-deposited on the surface of said intermediate layer, wherein the improvement comprises an electro-deposited thin-walled corrosion-resistant layer formed of a metal selected from the group consisting of gold and precious metals having a corrosion-resistant characteristic equal to that of gold being placed on the sides of said cooling channel formed by said webs and the bottom of said cooling channels spaced inwardly from said outer surface, said layer on the sides of said cooling channels extending outwardly beyond the outer surface of said inner wall formed by said webs for a dimension in the range of 5 to 120 .mu. m, and said intermediate layer at least on its surface facing the outer surface of said inner wall being formed of a metal selected from the group consisting of gold and precious metals having a corrosion-resistant characteristic equal to that of gold and forming an imperforate layer having a thickness of at least 8 .mu. m.