The inventive antenna comprises a planar substrate carrying as first winding whose axis is arranged in a parallel position to the plane of the substrate. Said antenna also comprises at least one second winding, whose axis is arranged in a parallel position to the plane of the substrate and which is wound-up about a thin layer made of high magnetically permeable material and arranged in a parallel position with respect to the plane of the substrate. A third winding, whose axis is perpendicular to the first and second windings and which is wound-up about an additional thin layer can be provided. Said additional thin layer is arranged in a parallel position to the plane of the substrate and is made of high magnetically permeable material.