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 (E38) 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 (E38) 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 (E38) 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. <EOS>