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In Mobile IPv6 (MIPv6), the authentication procedure between nodes has recently been an active research area. Return Routability Protocol (RRP) is a mechanism used in MIPv6 to provide the nodes with some authentication and to secure binding update messages. A large number of studies have discussed the weaknesses of this mechanism and its enhancement. In the current paper, a new approach called Return Routability Identity-Based Encryption protocol is proposed for the enhancement of security and authentication in the predecessor RRP. Hence, the proposed protocol is simulated and verified using a Murphi model checker. Finally, the simulation results show that strong security and authentication between the nodes have been achieved, and the current attacks in Return Routability have been addressed.