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Recently, Radio Frequency IDentification (RFID) systems are intensively studied and widely used in every-day applications, such as, retailing, supply chain management, and medical equipment management. The security requirement of RFID systems pursues authenticity between a reader or a back-end server and RFID tags, to protect the private information of valid tags and prevent authentication from impersonation of malicious tags. Since in usual RFID systems the ID information of tags is sent via radio waves, it is easy for adversary to eavesdrop all communications between a reader and a tag, or to track some certain tag in different places to obtain the traveling pattern. Thus, RFID systems require unlinkability of RFID tags.
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