Title: Remote login password authentication scheme using tangent theorem on circle

Authors: Shipra Kumari; Hari Om

Addresses: Department of Computer Science and Engineering, Indian School of Mines, Dhanbad, Jharkhand, India ' Department of Computer Science and Engineering, Indian School of Mines, Dhanbad, Jharkhand, India

Abstract: In this paper, we propose a remote password authentication scheme based on geometry. We use some simple tangent theorems of a circle, RSA encryption technique, and a strong one-way function to mutually authenticate the user and the server. It has a facility for a legal user to freely choose and change his password using his smart card. The security of this scheme depends on the tangent points located in a plane associated with the circle and the tangent line itself. In this scheme, the user anonymity is preserved and the communication cost is also reduced due to checking the correctness of the password before sending any authentication message.

Keywords: RSA cryptosystem; tangent theorem; circles; smart cards; remote login; password authentication; cryptography; user anonymity; communication cost.

DOI: 10.1504/IJCONVC.2016.080403

International Journal of Convergence Computing, 2016 Vol.2 No.1, pp.93 - 106

Received: 26 Feb 2015
Accepted: 16 Jun 2016
Published online: 21 Nov 2016 *