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It is expected that in the mobile RFID systems, more personal services for individual needs will be offered than in the existing fixed RFID systems. This means that satisfying the requirements for the protection of personal information is essential. Systematic data protection can be achieved through the installation of technological devices such as an encryption algorithm. The encryption algorithm must be light-weight with minimal overhead in order for it to be executed on a mobile RFID terminal. In this paper, we propose an encryption algorithm based on EC-ElGamal which is effective against eavesdropping, replay attack and man-in-the-middle attack and is light enough for a mobile terminal. The proposed algorithm can be used in various services on mobile RFID systems.