Yet another log-in authentication using n-dimensional construction based on circle property

We take advantage of the circle property in n-dimensional space to construct a secure user log-in authentication in a remote network system. Due to the fact that past schemes are based on the straight-line geometric property, it is easy to find their possible points of attack and therefore their proclaimed secure system is easily cracked. We therefore propose yet another sophisticated authentication system to reinforce the robustness in secure demands.