An immobilizer system for a vehicle and an immobilizer set including an immobilizer system and a switch key equipped with a transponder is provided. The immobilizer system includes: a native transmitter-receiver unit integrated into the vehicle, the native transmitter-receiver unit including a native antenna and being configured so as to enable a wireless communication with a transponder associated with a switch key, and a locking device for allowing or preventing the wireless communication between the native transmitter-receiver unit and the transponder, the locking device including: a locking antenna arranged in the vicinity of the native antenna, and a control unit configured to control the locking antenna in an enabled state, wherein the locking antenna does not interfere with the wireless communication between the native transmitter-receiver unit and the transponder, or in a locking state, wherein the locking antenna does interfere with the wireless communication.