Securing Caesar Cryptography Using the 2D Geometry

Abstract

Cryptography has now become a science in its own right, where, mathematics, computer science, and sometimes even physics, are meeting to allow all secured exchanges between distributed systems, by ensuring confidentiality, authenticity and integrity of digital information. Throughout this paper, a method of securing the most famous crypto-system of antiquity will be presented, using the 2D geometry. Being the origin of cryptography, the Caesar cryptosystem, presented a very basic method to encrypt messages. However, with the arrival of cryptanalysis, this method is no longer up to date. In fact, a simple exhaustive search can break the entire cryptosystem, and thanks to the algorithm of hybrid cryptography, inspired by the 2D geometry, we overcome this limitation, offering a method to expand the space of possible keys and manipulate the encrypted message so that any attacker cannot detect the original message.