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One concerned issue when designing Wireless Sensor Networks (WSNs) is the routing protocol that requires the researchers to provide as much security to the application as possible. In this paper, we propose efficient and secure Routing Protocol Based on Encryption and Authentication for WSNs: BEARP, which consists of three phases: neighbor discovery phase and routing discovery phase. BEARP encrypts all communication packets and authenticates the source node and the BS (Base Station), and it ensures the four security features including routing information confidentiality, authentication, integrity and freshness. Our BEARP also mitigates the loads of sensor nodes by transferring routing related tasks to BS, which not only maintains network wide energy equivalence and prolongs network lifetime, but also improves our security mechanism performed uniquely by the secure BS.