Secure near-field communication

A system comprising a first and a second devices configured to carry out a method of authentication between a first device and a second device, the method comprising:

• the generation, by the first device, of a first element and of a second element, and their storage into a memory of the first device;
• the supplying of the first element, via a user of the first device, to the second device;
• the generation, by the second device, based on the first element and by application of a Diffie-Hellman protocol, of a first public key;
• the supplying of the first public key to the first device and the storage of the first public key, in association with the first and second elements, into a memory of the first device;
• the generation, by the first device, of a session key, based on the second element and on the first public key, by application of a Diffie-Hellman protocol on an elliptic curve;
• the generation, by the first device, of a first code, based on the second element, and its ciphering by the session key;
• the generation, by the first device, of a second public key;
• the supplying, by a near-field communication, of the first ciphered code and of the second public key to the second device;
• the generation, by the second device, of the session key based on the first element and on the second public key, and the deciphering of the ciphered first code by means of the session key;
• the storage, in a memory of the second device, of the deciphered first code;
• the control, by the second device, of a first actuator as a result of an authentication of the second device, or of a third device, by the first device and based on the first public key.