Note on Mathematical Framework of Strongly Asymmetric Public Key Agreement

A strongly asymmetric public key agreement (SAPKA) is the class of public key distribution between Alice and Bob where some processes are different in users. This class was introduced by Accardi et al. \cite{A11,A11-2}, and it is shown that it includes usual symmetric public key agreement (PKA), for example Diffie-Hellman PKA. This framework has several free parameters more than symmetric PKAs, and security advantages based on mathematical conditions, so called compatibility condition. In this paper, we explain the definition of SAPKA, and discuss about its strength against attack by constructing an example.