Methods and systems implemented in a network architecture with nodes capable of performing message-based transactions

A method for establishing so-called quasi-real connections between nodes of a network, implemented by communicating data processing units, a public key and a private key being associated with each node, a given node being able to communicate its public key to another node, thus forming a so-called real connection (“IRL-connected”) between the two nodes, and each node also being able to communicate to another node a public key received from yet another node, thus forming a so-called indirect connection between the other node and the yet another node, each node being able to have a specific connection weight in relation to another node with which it has a real or indirect connection, the method including the following steps:

• from a first node and a second node between which a connection is to be established, selecting a plurality of intermediate nodes between the first node and the second node, from those having the highest connection weights in relation to the first node,
• communicating, from the first node to the selected intermediate nodes, an arbitrary number (nonce) intended to be communicated to the second node,
• via one or more communication channels distinct from the communication channel between nodes, communicating redundantly, from the intermediate nodes to the second node, said arbitrary code as well as the public keys of said intermediate nodes,
• at the site of the second node, in response to the reception of the arbitrary code, redundantly generating a signature of the arbitrary code with the aid of the private key of the second node and returning to the intermediate nodes said signature as well as the public key of the second node, encrypted with the aid of the public keys of the intermediate nodes, respectively,
• at the site of each of the intermediate nodes, verification of the signature of the arbitrary code received from the second node, and, in case of success, communication to the first node of the public key of the second node, encrypted with the aid of the public key of the first node, and
• at the site of the first node, decryption and storing of the public key of the second node,
• the first and second nodes then being able to exchange encrypted information with a security linked to the connection weights of the intermediate nodes.