A process for producing a wear-resistant coating and to a wear-resistant coating on predetermined surfaces (2) of machine or engine parts (1) consisting of a sintered material which are exposed to frictional wear, for fuel feed units in particular, comprising at least one metal-free amorphous hydrocarbon layer (5) with sp2- and sp3-hybridized carbon applied to the predetermined surface (2) of the machine or engine part (I) for reducing friction and increasing the wear resistance of the predetermined surface (2) of the machine or engine part (1), and at least one intermediate layer of a metal-containing hydrocarbon layer formed between the predetermined surface of the machine or engine part and the amorphous hydrocarbon layer wherein the metal is a combination of W, Ti, Hf and Ge.