SummaryVery recently, Alamr et al (J. Supercomput 1‐14 doi: 10.1007/s11227‐016‐1861‐1) presented a radio frequency identifier (RFID) authentication protocol for the Internet of Things (IoT) through elliptic curve cryptography (ECC). They claimed the protocol to achieve several security properties and thwart all known attacks. However, this paper shows that their scheme is having correctness and scalability issues. The reader in their protocol can accommodate only one tag, which is not desirable in the IoT environments. The paper finally suggests an improvement to cater the correctness and scalability issues.