Authentication and key agreement based on hyper-sphere using smart cards

Abstract

A new geometry-based authentication and key agreement scheme, without invoking traditional strong symmetric and/or asymmetric encryption functions, is constructed by taking advantage of the geometric property that (n + 1) generic points in an n-dimensional space can determine a unique hyper-sphere under certain conditions. The security and performance of the scheme are analyzed. Experiments are also conducted to show that the scheme is efficient and is easy to implement. © 2013 Springer-Verlag.