Secure limitation analysis of public-key cryptography for smart card settings

Smart cards are widely used in high security applications due to their self-contained nature. At the same time, the security of smart card has become an urgent problem in the field of intelligent environment. Public-key Cryptography is the main means to solve the security problems based on smart card password authentication and identity authentication protocol. This paper reviews the security issues of public key cryptography used in smart cards from the perspective of information theory. By constructing a attackers channel, we model the Public-key Cryptography process in the way of an adversary to capture the attack ability in the Public-key Cryptography setting. Then, we convert the secure problems of Public-key Cryptography into the attack channels capacity of adversaries that the maximum value of the average mutual information is the secure limitations of a Public-key Cryptography scheme, which is a reachable theoretic limitation of secure communication parties. Finally, we give the bounds of insecure for public-key encryption and signature in different secure levels, and analyze and discuss the secure limitation.