Two-Server 3D EIGamal Diffie-Hellman Password Authenticated and Key Exchange Protocol Using Geometrical Properties

摘要

In the contemporary world, Internet based services undoubtedly plays a vital role in supporting business processes. Yet, these services suffer from poor authentication methods, leading to intensive attacks. To address this issue and to enhance the security, in this paper, a cutting edge tetrahedron (3D) based two-server Password Authenticated Key Exchange (PAKE) protocol using ElGamal and Diffie-Hellman (DH) mechanism is devised, analyzed and implemented using geometrical shape based properties - circumcenter () and the angle between the medians (). With the aid of these properties, obtaining a password/key from the ciphertext is infeasible. 3D ElGamal DH mechanism precludes the fear of low-encryption-exponent attack. The metrics considered for examining the protocols include communication complexity, computational complexity, security defensive rate and attack resistance rate.