Cryptanalysis of Noel McCullagh and Paulo S. L. M. Barreto¡¯s two-party identity-based key agreement

Noel McCullagh and Paulo S. L. M. Barreto[1] proposed a two-party identity-based key agreement protocol in 2004,which can be used in either escrowed or escrowless mode. They also described conditions under which users of different Key Generation Centres can agree on a shared secret key. In this paper, we show that these two protocols are insecure against the key compromis impersonate attack,and the fix protocol has not the property of Perfect-Forword-Secrecy.We modify these protocols in three ways,which are secure against all attack and satisfy the property of Known-Key Security, Perfect-Forward-Secrecy, Key-Compromise Impersonation, Unknown Key-Share,and Key control and so on.