The invention relates to a data support (1) with a core layer (15) and at least one adjacent layer (14a), laminated to the core layer and a corresponding production method, said core layer being embodied from a holographic data store in the form of a volume hologram (5). The surface (141) facing the core layer, on the layer directly adjacent to the core layer, has a roughness (19), before lamination to the core layer, which affects the wavelength shift of the image reconstructed by the volume hologram.