The present invention relates to a magnetic recording medium (100). The invention finds a particularly interesting application in the field of data stored on hard disks. The medium (100) comprises an assembly of magnetic zones disposed on a substrate (102), each magnetic zone comprising at least one first (C′1) and one second (C′2) stacked magnetic layers separated from each other by a non-magnetic layer (NM′). In addition, said first magnetic layer (C′1) presents magnetization substantially oriented parallel to the plane of said substrate (102) and said second magnetic layer (C′2) presents magnetization substantially oriented perpendicular to the plane of said substrate (102).