GEOMETRY IN CRYPTOGRAPHY: A REVIEW

Preeti Singh, Praveen Shende, Rahul Singh

Abstract: In the infancy of Cryptography Mono-alphabetic Substitution Ciphers were considered good enough to baffle any potential attackers but with the advancements in technology & the upsurge of computing power those methods have become trivial. Even the very complex methods of encryption are vulnerable to the brute force attacks of contemporary computers and with Quantum computing on the horizon even the current state of the art cryptosystems are at risk. Lots of research is being done and every possible field is being explored in order to create that elusive unbreakable cipher. Among other subjects, Geometry is also being applied and various ciphers based on the properties of different geometrical figures have been developed. This paper ventures to investigate the recent research applying the concept of geometry to boost the caliber of pre-existing cryptosystems enhance the understanding of the subject

Keywords: Cryptography, Geometry, Encryption, Decryption, ECC, Circle, Chakra, Ellipse, Hyperbola, HCCS

DOI: https://doi.org/10.15623/ijret.2015.0403018