Security Analysis of Shim's Authenticated Key Agreement Protocols from Pairings

Recently, Shim proposed a tripartite authenticated key agreement protocol from Weil pairing to overcome the security flaw in Joux’s protocol. Later, Shim also proposed an ID-based authenticated key agreement protocol which is an improvement of Smart’s protocol in order to provide the forward secrecy. In this paper, we show that these two protocols are insecure against the key-compromise impersonation attack and the manin-the-middle attack respectively.