Designing efficient and secure mutual authentication and key agreement (MAAKA) protocols for Internet of Medical Things (IoMT) has been shown to be challenging, mainly due to the different security and privacy requirements in complex settings. Existing schemes generally are subject to a number of limitations, ranging from performance to security issues. In this article, we introduce a provably secure and lightweight MAAKA (PSL-MAAKA) protocol for fully public channels in IoMT. First, the proposed scheme is lightweight since the major operations in the stage of authentication and key agreement are hash operation and XOR operation, respectively. Second, this article proves the security of the presented protocol taking the advantage of the random oracle model. Next, this article gives that security requirements in IoMT could be satisfied through our presented MAAKA protocol. Finally, we demonstrate that it enjoys optimal performance than other competing schemes, in terms of communication overhead, computation overhead, and storage overhead.
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