Method for calculating and combining a macroscopic superstructure and a computer-generated hologram, - in which the point distribution of the computer-generated hologram is calculated, - in which a directly readable macroscopic superstructure is in the form of a 1D or 2D barcode, in the form of microprint, in the form of an image, in the form of a logo, in the form of a coded matrix or in the form of a mixture of at least two of the above-mentioned superstructure types, - in which the point distribution of the macroscopic superstructure is calculated, and - in which the point distribution of the computer-generated hologram is combined with the point distribution of the macroscopic superstructure, to form a point distribution to be written in a storage medium, using an AND combination, with the result that a point is set in the point distribution to be written when a point is present at the same position both in the point distribution of the computer-generated hologram and in the point distribution of the macroscopic superstructure, or is combined using a NAND combination, with the result that a point is omitted in the point distribution to be written if this point is present at the same position both in the point distribution of the macroscopic superstructure and in the point distribution of the computer-generated hologram, or is combined using an OR combination, with the result that a point is set in the point distribution to be written when a point is present at the same position either in the point distribution of the computer-generated hologram or in the point distribution of the macroscopic superstructure, or is combined using a NOR combination, with the result that a point is omitted in the point distribution to be written when a point is present at the same position either in the point distribution of the computer-generated hologram or in the point distribution of the macroscopic superstructure. - in which the point distribution of the computer-generated hologram is calculated, - in which a directly readable macroscopic superstructure is in the form of a 1D or 2D barcode, in the form of microprint, in the form of an image, in the form of a logo, in the form of a coded matrix or in the form of a mixture of at least two of the above-mentioned superstructure types, - in which the point distribution of the macroscopic superstructure is calculated, and - in which the point distribution of the computer-generated hologram is combined with the point distribution of the macroscopic superstructure, to form a point distribution to be written in a storage medium, using an AND combination, with the result that a point is set in the point distribution to be written when a point is present at the same position both in the point distribution of the computer-generated hologram and in the point distribution of the macroscopic superstructure, or is combined using a NAND combination, with the result that a point is omitted in the point distribution to be written if this point is present at the same position both in the point distribution of the macroscopic superstructure and in the point distribution of the computer-generated hologram, or is combined using an OR combination, with the result that a point is set in the point distribution to be written when a point is present at the same position either in the point distribution of the computer-generated hologram or in the point distribution of the macroscopic superstructure, or is combined using a NOR combination, with the result that a point is omitted in the point distribution to be written when a point is present at the same position either in the point distribution of the computer-generated hologram or in the point distribution of the macroscopic superstructure.