# Plancker ZKP 底层系列 | 理解 PLONK

By [PlanckerDAO](https://paragraph.com/@planckerdao-2) · 2024-01-31

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引言
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### 「深入 ZKP 底层系列」

*   **背景** 当下，ZKP（Zero-Knowledge Proof） 已经在加密货币、数据隐私保护、安全认证等多个领域发挥着至关重要的作用。 Plancker Langlands 小组现也已启动 zkp 研究，专注于通过硬件加速 MSM 与 NTT 等运算，提高 ZKP 中 proof 的生成速度。 ZKP 的底层协议是零知识证明技术的核心和灵魂，在本系列中，我们将一起带你深入展开探索。
    
*   **文章概述** PLONK 协议对于 ZKP 发展意义深远，通过提供一个高效、通用且易于实现的框架，大大推动了 ZKP 技术在各种应用中的实用性和可扩展性，著名的 ZK 公链 - Mina Network 在其底层就使用了 PLONK 协议。本文主要讲了 PLONK 协议的工作原理以及一些升级优化。
    
    *   **本文作者**： David，[zkSecurity](https://www.zksecurity.xyz/)\[1\]联创，[Real-World Cryptography book](https://www.manning.com/books/real-world-cryptography?a_aid=Realworldcrypto&a_bid=ad500e09) \[2\]作者，crypto architect of Mina Netowrk  
        
    *   **原文链接**：[https://www.cryptologie.net/article/527/understanding-plonk/](https://www.cryptologie.net/article/527/understanding-plonk/)
        

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### 参考：

\[1\] **zkSecurity:** [**_https://www.zksecurity.xyz/_**](https://www.zksecurity.xyz/)

\[2\] **Real-World Cryptography book:** [**_https://www.manning.com/books/real-world-cryptography?a\_aid=Realworldcrypto&a\_bid=ad500e09_**](https://www.manning.com/books/real-world-cryptography?a_aid=Realworldcrypto&a_bid=ad500e09)

\[3\] **PLONK:** [**_https://eprint.iacr.org/2019/953.pdf_**](https://eprint.iacr.org/2019/953.pdf)

\[4\] **UltraPLONK:** [**_https://aztec.network/_**](https://aztec.network/)

\[5\] **Mina:** [**_https://minaprotocol.com/_**](https://minaprotocol.com/)

\[6\] **Schwartz-Zippel:** [**_https://www.cryptologie.net/article/507/the-missing-explanation-of-zk-snarks-part-1/_**](https://www.cryptologie.net/article/507/the-missing-explanation-of-zk-snarks-part-1/)

\[7\] **Maller 的优化:** [**_https://www.cryptologie.net/article/526/maller-optimization-to-reduce-proof-size/_**](https://www.cryptologie.net/article/526/maller-optimization-to-reduce-proof-size/)

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*Originally published on [PlanckerDAO](https://paragraph.com/@planckerdao-2/plancker-zkp-plonk)*