Modified public key cryptosystem based on distance and geometry area in triangles

Abstract

Public key cryptosystems using commutative algebra are not safe from quantum algorithm attacks. For this reason, experts have developed non-commutative algebra applied to geometry-based public key cryptosystems. This study develops a public key cryptosystem using the concept of geometry on the area of a triangle. We can show that the proposed public key cryptosystem works well. Furthermore, mathematical hacking experiments carried out by hackers are complex because the public key cryptosystem works on a ring of real numbers.