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Procedure for authentication of a client against a server, according to the Cuala) the client and the server generated by an identical independently of one another a first key algorithm (epsilon key), having set the above algorithm and the initial value of the algorithm previously in unacuerdo secret between client and server, b) the client generates a second key such that its distance (delta) to the first key is within deuna predetermined distance, the predetermined distance and metric clavepreviamente having been fixed in an agreement secret between client and server, c) said second key is sent to the server, d) authenticates server successfully customer when the distance of the second key received regarding laprimera key is within a predetermined delta, e) said second key is used as a new starting value for the next clienterespecto authentication server when the client has been successfully authenticated by the server.