In a general aspect, a method for authenticating a plurality of slave devices connected to a master device can include: generating and sending by the master device a respective challenge to each slave device; in each slave device, generating a response to the respective challenge and transmitting it to the master device; verifying by the master device the response of one of the slave devices; returning by the master device the remaining responses to respective slave devices distinct from those that generated the responses; and verifying by each slave device the response returned thereto by the master device and transmitting the result of the verification to the master device.