Abstract:

In order to improve the security of the authentication scheme based on geometric properties, an identity authentication and key agreement scheme based on circle properties is proposed, the basic principle of which is that an n-dimension circle can be reconstructed by any n ＋ 1 n-dimension points on it, and a multi-variable one-way hash function is used to calculate the login message and to improve the robustness of the login message for security. Thus, the scheme ean withstand the attacks, such as the password guess, replay, eavesdropping and off-line mes- sage analysis. The proposed scheme is proved secure by a formal approach at last.

Key words: identity authentication, key agreement, security, circle property, formal approach