Vitalik 推出 Binius：零知識證明的突破

以太坊聯合創始人 Vitalik Buterin 推出了 Binius，這是一個新穎的加密證明系統，可提高零知識證明的效率。 Binius 利用二進位欄位和位元級運算來實現比 zk-SNARK 等傳統證明系統顯著的效能提升。該系統透過將資料表示為多維「超立方體」並採用專門的編碼和解碼過程，可以有效地處理小值、計數器和布林標誌。

Ethereum Co-Founder Unveils Groundbreaking Cryptographic System for Enhanced Zero-Knowledge Proofs

以太坊聯合創辦人推出突破性的加密系統，用於增強零知識證明

Ethereum's visionary co-founder, Vitalik Buterin, has unveiled a novel cryptographic proving system, "Binius," poised to revolutionize the efficiency of zero-knowledge proofs.

以太坊富有遠見的聯合創始人 Vitalik Buterin 推出了一種新穎的密碼證明系統“Binius”，有望徹底改變零知識證明的效率。

In a comprehensive blog post, Buterin meticulously explains the inner workings of Binius, a system designed specifically for binary fields. This pioneering approach promises substantial performance enhancements over existing proof systems such as zk-SNARKs.

在一篇綜合性的部落格文章中，Buterin 細緻地解釋了 Binius（專為二進位字段設計的系統）的內部工作原理。這種開創性的方法有望比現有的證明系統（例如 zk-SNARK）顯著增強性能。

Efficiency Through Binary Bits

透過二進位位提高效率

Binius achieves its remarkable efficiency by performing computations directly on individual binary bits—zeros and ones—a departure from traditional systems that handle larger numbers. The motivation behind this innovation stems from the realization that underlying data often comprises small values like counters, indices, and boolean flags. By operating on bits directly, Binius can process this data with unparalleled efficiency.

Binius 透過直接對各個二進位位元（零和一）執行運算來實現其卓越的效率，這與處理較大數字的傳統系統不同。這項創新背後的動機源自於這樣的認知：底層資料通常包含計數器、索引和布林標誌等小值。透過直接對位元進行操作，Binius 可以以無與倫比的效率處理這些數據。

Multidimensional Hypercubes and Finite Fields

多維超立方體和有限域

Binius conceptualizes data as a multidimensional "hypercube" of bits and employs binary "finite fields" to facilitate efficient arithmetic operations on bits and bit sequences. This approach allows for meticulous processing of small values, a task often encountered in cryptographic applications.

Binius 將資料概念化為位元的多維“超立方體”，並採用二元“有限域”來促進對位和位元序列的高效算術運算。這種方法允許對小值進行細緻的處理，這是加密應用程式中經常遇到的任務。

Specialized Encoding and Decoding

專門的編碼和解碼

Binius utilizes a specialized encoding and decoding process that transforms bit-level data into a format compatible with "polynomial" processing and Merkle proofs. This ingenious technique preserves the efficiency benefits of working in binary while enabling the verification of proofs without disclosing underlying information—a hallmark of zero-knowledge proofs.

Binius 利用專門的編碼和解碼過程，將位元級資料轉換為與「多項式」處理和 Merkle 證明相容的格式。這種巧妙的技術保留了二元工作的效率優勢，同時能夠在不洩漏底層資訊的情況下驗證證明——這是零知識證明的標誌。

Unlocking Efficiency in Cryptographic Proofs

釋放密碼證明的效率

The binary system employed by Binius unlocks significant improvements for the core arithmetic of cryptographic proof systems. This efficiency translates into enhanced performance and scalability for complex crypto applications. Polynomials, commonly used in zk-proofs, are seamlessly encoded and processed in Binius, enabling efficient proof generation and verification.

Binius 採用的二進位系統為密碼證明系統的核心演算法帶來了重大改進。這種效率轉化為複雜加密應用程式的增強效能和可擴展性。 zk-proofs 中常用的多項式在 Binius 中無縫編碼和處理，從而實現高效的證明生成和驗證。

Proof of Concept and Future Prospects

概念驗證與未來前景

Buterin meticulously demonstrates the Binius protocol with intricate mathematical formulations, showcasing its data encoding capabilities, proof generation, and efficient verification. The concept was initially proposed in a 2023 whitepaper by cryptographers Benjamin E. Diamond and Jim Posen, entitled "Succinct Arguments over Towers of Binary Fields."

Buterin用複雜的數學公式精心演示了Binius協議，展示了其資料編碼能力、證明生成和高效驗證能力。這個概念最初由密碼學家本傑明·戴蒙德 (Benjamin E. Diamond) 和吉姆·波森 (Jim Posen) 在 2023 年的白皮書中提出，題為“關於二進制域塔的簡潔論證”。

Overall, Binius holds the promise of significant performance gains over conventional proof systems, particularly for computations involving small values and bit-level operations. Buterin remains optimistic about the future of Binius and anticipates further advancements in binary-field-based proving techniques in the near future.

總體而言，Binius 有望比傳統證明系統顯著提高效能，特別是對於涉及小值和位元級操作的計算。 Buterin 對 Binius 的未來保持樂觀，並預計在不久的將來基於二進位字段的證明技術將取得進一步進步。

Conclusion

結論

Binius, the ingenious cryptographic proving system championed by Vitalik Buterin, represents a monumental leap forward in the realm of zero-knowledge proofs. Its unparalleled efficiency, rooted in binary bit operations and specialized encoding techniques, empowers complex crypto applications with enhanced performance and scalability. As Binius evolves and matures, it is poised to revolutionize the landscape of cryptography and usher in a new era of secure and efficient solutions.

Binius 是 Vitalik Buterin 倡導的巧妙的密碼證明系統，代表了零知識證明領域的巨大飛躍。其無與倫比的效率植根於二進位位元運算和專門的編碼技術，為複雜的加密應用程式提供了增強的效能和可擴展性。隨著 Binius 的發展和成熟，它有望徹底改變密碼學領域，並開創安全高效解決方案的新時代。