SYMMETRIC BILINEAR CRYPTOGRAPHY ON ELLIPTIC CURVE AND LIE ALGEBRA

Abstract

Elliptic Curve Cryptography (ECC) has gained widespread adoption in the field of cryptography due to
its efficiency and security properties. Symmetric bilinear pairings on elliptic curves have emerged as a
powerful tool in cryptographic protocols, enabling advanced constructions and functionalities. This paper
explores the intersection of symmetric bilinear pairings, elliptic curves, and Lie algebras in the context of
cryptography. We provide a comprehensive overview of the theoretical foundations, applications, and
security considerations of this amalgamation.