Log-in authentication based on locating centers of a triangle

In this paper a mechanism is proposed to realize log-in authentication with a stored table of user registrations in a remote network system. The stored table, called the generating key table, exists in a remote server, whose work is to validate whether the requesting user is legitimate or not. Although there have been many papers addressing the issue of log-in authentication with table-store scheme, until now, there was not a rule to point out the principle of devising a log-in authentication scheme. In this paper, we define a primitive function to sketch the principle. Then an example based on locating the centers on a triangle is illustrated to fulfill our idea. In our scheme, the stored keys are generated in geometric ways, and are used for user authentication later. In such a way, attacks based on penetrating the stored table are prevented. Without loss of generality, the password can be chosen freely by the registering user, the dynamic operations for a user´s insertion, deletion and password change are conducted, and the verification process can be carried out efficiently.