Abstract: A method and apparatus for providing authentication among a dynamically selected group of users in a communication system with a dynamically changing network topology. With this invention, freshness information and alleged identity information are transmitted from each of the users in the group using available paths in the network. A group key is then generated, and coded information, derived from the group key and the above transmitted information, is sent to each of the users. Each unit of coded information is accompanied by an identifying tag so as to identify which of the users is to use the appropriate unit of coded information. Each alleged user will then extract the group key from a corresponding coded information unit only if it shares an appropriate secret with a server. Without knowledge of the group key, a user cannot be authenticated.

Abstract: An arrangement of authenticating communications network users and means for carrying out the arrangement. A first challenge N1 is transmitted from a first user A to a second user B. In response to the first challenge, B transmits a first response and second challenge N2 to A. A verifies the first response. A then generates and transmits a second response to the second challenge to B, where the second response is verified. The first response must be of a minimum formf(S1, N1, . . . ),and the second response must be of the minimum formg(S2, N2, . . . ).S1 and S2 are shared secrets between A and B. f() and g() are selected such that the equationf'(s1,N1', . . . )=g(S2, N2)cannot be solved for N1' without knowledge of S1 and S2. f'() and N1' represent expressions on a second reference connection. Preferably, the function f() may include the direction D1 of the flow of the message containing f(), as in f(s1, N1, D1, . . . ). In such a case, f() is selected such that the equationf'(S,N1',D1', . . . )=f(S, N2, D1, .