Remote table-based log-in authentication upon geometric triangle

Abstract

In this paper, a mechanism is proposed to realize the table-based log-in authentication 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. In our scheme, the keys planted in the generating key table are generated by geometric ways upon the triangular property on the two-dimensional coordinate plane, and are used for user authentication later. With our specific arrangements, the attacks of penetrating the stored table are prevented. Without loss of generality, in our scheme, the password can be chosen freely by the registering user, the dynamic operations for a user's insertion, deletion and password change can be conducted, and the verification process is efficiently carried out as well. In addition, an invertible formula is pointed out to address the issue of table-based log-in authentication scheme. It can be the principle of devising such table-based log-in authentication scheme.