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.

阿维-维格德森 (Avi Wigderson) 获得了 2023 年 ACM A.M. 图灵奖，以表彰他对计算理论做出的奠基性贡献，包括重塑了我们对随机性在计算中的作用的理解，以及他数十年来在理论计算机科学领域的知识领导地位。 Wigderson 是新泽西州普林斯顿高等研究院数学学院的 Herbert H. Maass 教授。他在计算复杂性理论、算法与优化、随机性与密码学、并行与分布式计算、组合学、图论以及理论计算机科学与数学和科学之间的联系等领域一直处于领先地位。

Welcome to our freshest event roundup! We journeyed to the stunning UK, leaving our digital footprints across Oxford and London.

用最前沿的观察白话剖析什么是CeFi-DeFi Searcher Builder 整合，以及为什么它对以太坊的存续和用户的资金安全带来巨大挑战。

基于意图的执行和订单流竞拍 (OFAs) 是近期的热门话题。 作为这两个领域的先行者，CoW Swap 是如何通过这些创新带来范式转换的交易模型，以改善用户体验并提供 MEV 保护的呢？

Welcome back to the second part of our ZKonnect wrap-up! In case you missed it, you can catch up on the first part here, where we delved into the initial three weeks of whiteboard sessions, demos, and the thrilling ZKHack.

GM everyone! What a month it's been for us at Antalpha Hacker House @Istanbul (Oct 22 - Nov 20)! It's been a rollercoaster of awesomeness, filled with joy, passion, and major achievements. This month was so epic that we couldn't cram it all into one letter – we had to split the ZKONNECT wrap-up into two parts. We've got so much to spill, and we don't want you to miss a beat!

Intro

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