Method for implementing a connection, in the context of a wireless communication according to the "BluetoothTM Low Energy" protocol, between a slave electronic device, which is provided in a vehicle, and at least one master device, which is provided in a user terminal, the master device comprising a storage unit to which a secret is written, the slave device comprising a storage unit to which said secret is written, the method for implementing a connection comprising the following steps: - the at least one master electronic device transmitting (E30; E112) a frame (SCAN_RSP 2; ADV 5) containing an item of authentication information (VPRA_SP), which is computed by means of a secret equal to the secret stored in the storage unit of the master device, and at least the current address (ADR 26) of said at least one master electronic device; - the slave electronic device receiving (E32; E114) the current address (ADR 26) of said at least one master electronic device and said item of authentication information (VPRA_SP) from said at least one master electronic device; - the slave electronic device verifying (E34; E116) said received item of authentication information (VPRA_SP) by making sure that a result (RES_SP) received within the item of authentication information (VPRA_SP) has indeed been computed by means of a secret identical to the secret stored in the storage unit; - if the verification is positive, ∘ configuring the slave electronic device with the current address (ADR 26) of said at least one master electronic device by ordering the current address (ADR 26) of the master device to be added to a list; ∘ the slave electronic device broadcasting (E40; E118) at least one frame (ADV 3; ADV 6) indicative of availability for a connection to one of the devices specified in said list. - the at least one master electronic device transmitting (E30; E112) a frame (SCAN_RSP 2; ADV 5) containing an item of authentication information (VPRA_SP), which is computed by means of a secret equal to the secret stored in the storage unit of the master device, and at least the current address (ADR 26) of said at least one master electronic device; - the slave electronic device receiving (E32; E114) the current address (ADR 26) of said at least one master electronic device and said item of authentication information (VPRA_SP) from said at least one master electronic device; - the slave electronic device verifying (E34; E116) said received item of authentication information (VPRA_SP) by making sure that a result (RES_SP) received within the item of authentication information (VPRA_SP) has indeed been computed by means of a secret identical to the secret stored in the storage unit; - if the verification is positive, ∘ configuring the slave electronic device with the current address (ADR 26) of said at least one master electronic device by ordering the current address (ADR 26) of the master device to be added to a list; ∘ the slave electronic device broadcasting (E40; E118) at least one frame (ADV 3; ADV 6) indicative of availability for a connection to one of the devices specified in said list. ∘ configuring the slave electronic device with the current address (ADR 26) of said at least one master electronic device by ordering the current address (ADR 26) of the master device to be added to a list; ∘ the slave electronic device broadcasting (E40; E118) at least one frame (ADV 3; ADV 6) indicative of availability for a connection to one of the devices specified in said list.