Novel Authentication Protocols Based on Quadratic Diophantine Equations

The Diophantine equation is a strong research domain in number theory with extensive cryptography applications. goal of this paper to describe certain geometric properties positive integral solutions the quadratic x12+x22=y12+y22(x1,x2,y1,y2>0), as well their use communication protocols. Given one pair (x1,y1), finding another (x2,y2) satisfying x12+x22=y12+y22 challenge. A novel secure authentication mechanism based on which can be employed generation one-time passwords or e-tokens for applications presented. Further, constructive cost models are applied predict initial effort and proposed schemes.