A process and an arrangement by means of which it is possible to generate a layer system for the protection against wear, for the protection against corrosion and for improving the sliding properties or the like, which has an adhesive layer for the arrangement on a substrate, a transition layer for the arrangement on the adhesive layer and a cover layer of an adamantine carbon, the adhesive layer including at least one element from the Group which contains the elements of the 4.sup.th, 5.sup.th and 6.sup.th Subgroup and silicon, the transition layer comprising carbon and at least one element from the above-mentioned Group, and the cover layer consisting essentially adamantine carbon, the layer system having a hardness of at least 15 GPa, preferably at least 20 GPa, and an adhesion of at least 3 HF.