Design and Analysis of Pairing-Friendly Elliptic Curves for Cryptographic Primitives. (arXiv:2307.09610v1 [cs.CR])

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that
offers the same level of security as traditional public-key cryptography (PKC)
with a significantly smaller key size and lower computational requirements. The
use of pairing on elliptic curves has emerged as a vibrant field of research
that provides enhanced security measures for the next generation of
cryptographic systems. This thesis explores using ECC and Pairing-Based
Cryptosystems (PBC) as effective mathematical tools for achieving high-security
levels with minimal key size and …

analysis computational cryptography design ecc elliptic elliptic curve cryptography key pkc public public-key cryptography requirements research security size tool