A method of establishing an encrypted communication by using keys between a first electronic device associated with a first trusted authority and a second electronic device, including generating a first secret key associated with the first device for the management of the communication, generating, at least in part by the first authority, a second secret key associated with the second device for the management of the communication. The method includes generating the first key at least in part by a second trusted authority associated with the second device that is distinct and autonomous from the first authority. Alternatively, the generation of the first key is performed, at least in part, by the second device passing through the second trusted authority.