Point Generation and Base Point Selection in ECC an Overview

Abstract: Elliptic curve cryptography (ECC) is an approach to public-key cryptography which is based on the algebraic structure of elliptic curves over finite fields. ECC, a public-key encryption technique, can be used to create faster, smaller, and more efficient cryptographic keys. Instead of the traditional method of generation, ECC generates keys through the properties of the elliptic curve equation. The technology of ECC can be used in conjunction with most public key encryption methods, viz. RSA and Diffie-Hellman. According to researchers, ECC can yield a level of security with a 164-bit key that other systems require a 1,024-bit key to achieve. As ECC can be used to establish equivalent security with lower computing power and battery resource usage, it is being widely used for mobile applications.

Keywords: ECC, Base point, RSA, Diffie-Hellman