Search protocols are among the main applications of RFID systems. Since a search protocol should be able to locate a certain tag among many tags, not only it should be secure against RFID threats but also it should be affordable. In this article, an RFID-based search protocol will be presented. We use an encryption technique that is referred to as Authenticated encryption in order to boost the security level, which can provide confidentiality and integrity, simultaneously. Furthermore, since the proposed protocol belongs to the lightweight protocols category, it is appropriate for applications that require many tags and costs must be low. In terms of the security, the analysis results give a satisfactory security level and it is robust against different RFID threats like replay, traceability and impersonation attacks. Using Ouafi-Phan model, BAN and AVISPA, we also checked the security correctness of the suggested protocol.