A method for protecting traffic in a radio access network connected to at least two core networks. The method includes maintaining a core-network-specific authentication protocol and a radio-bearer-specific ciphering process, and generating, for each ciphering process, a count parameter including a cyclical sequence number and a hyperframe number (HFN) which is incremented each time the cyclical sequence number completes one cycle. For each core network or authentication protocol, a first radio bearer of a session is initialized with a HFN exceeding the highest HFN used during the previous session. When a new radio bearer is established, the mobile station selects the highest HFN used during the session for the core network in question, increments it and uses it for initializing the count parameter for the new radio bearer. At the end of a session, the mobile station stores at least part of the highest HFN used during the session.