Abstract: Passive entry and passive start (PEPS) system of the traditional car is unsafe and unrecognizable, based on forward error correction Turbo code three times of retransmission, PEPS system encryption algorithm is proposed. PEPS system of Turbo code model is built, PEPS system encryption transmission protocol is designed, Turbo code forward error correction three retransmission coding structure is optimized, data encryption and decryption scheme of the input and output model is obtained. The simulation results show that this encryption algorithm can improve safety and recognition of PEPS system.