Specific features of the microstructure and the deformation behavior of the L1(0) type alloys (NiPt, FePd, CoPt, CuAu) ordered after a strong cold deformation were studied. When the disordered alloys were subjected to heavy (60-95%) drawing, the ultimate strength and plasticity of ordered alloys were 1500-2200 MPa and 25-40% respectively. Significantly, the dislocations, which were inherited from the disordered alloy, proved to be incomplete in the superlattice. As a result, they lost mobility and formed a rigid framework. A possible mechanism, by which mobility of dislocations influences recrystallization, was proposed. TEM examination allowed determining an optimal structure of the ordered alloys: fibers, cells in the fibers, and lamellae in the cells. It was found that the lamellar structure (more precisely, a set of parallel boundaries of twin-like c-domains) plays a considerable role of a damper. It is the absence of the lamellar structure in L1(2)-type alloys that makes it impossible to use this method for improving their properties. This method was compared with other known methods used to enhance the strength and plasticity. To a certain extent, the proposed method resembles the so-called trip-effect (transformation-induced plasticity). However, a diffusionless martensitic transformation, which occurs during deformation and causes formation of a two-phase structure, is used in trip steels. The structure under study resembles most textile constructional composites reinforced with a space framework. Conditions, which may provide an optimal state in other superstructures, were formulated.