We are excited to announce the upcoming research-focused event, Next Generation Proof System, taking place in Chiang Mai, Thailand from October 20 to November 10, 2024. This initiative aims to explore the rapidly evolving landscape of zero-knowledge (ZK) technologies and their applications within the blockchain domain.
In this article, we covered the foundational concepts for understanding elliptic curve pairings over field extensions, focusing on the Frobenius endomorphism and the Trace map to identify subgroups $\mathbb{G}\_1$ and $\mathbb{G}\_2$ and implemented the Tate pairing step-by-step.