The invention concerns oligosaccharides and polysaccharides as well as the use of these oligosaccharides and/or polysaccharides, which contain the sugar unit N-acylglucosamine or N-acylgalactosamine for the production of hemocompatible surfaces as well as methods for the hemocompatible coating of surfaces with said oligosaccharides and/or polysaccharides, which imitate the common biosynthetic precursor substance of heparin, heparan sulphates and chitosan. The invention further describes methods for producing said oligosaccharides and/or polysaccharides and discloses various possibilities of using hemocompatibly coated surfaces. The invention relates particularly to the use of said oligosaccharides and/or polysaccharides on stents with at least one according to invention deposited hemocompatible coating, which contains an antiproliferative, antiinflammatory and/or antithrombotic active agent, methods for the preparation of said stents as well as the use of said stents for the prevention of restenosis.