Explore Research in School: https://www.cheenta.com/research-track/

This paper is co-authored by Vethathiriyan (Singapore, Grade 9), and Souradip Das (Kolkata, Grade 11).

Abstract: This paper delves into the critical role of elliptic curves in advancing the field of public-key cryptography, with a particular focus on Elliptic Curve Cryptography (ECC) and its comparative efficiency against the Rivest-Shamir-Adleman (RSA) algorithm. Starting with an exploration of the group law on elliptic curves, the paper establishes the mathematical foundations that enable ECC to provide robust security mechanisms. The core of the analysis compares ECC and RSA, emphasizing the significant benefits of ECC in terms of computational overhead and key size efficiency.