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Binius: highly efficient proofs over binary fields

vitalik.eth.limo · 6,766 words · saved by 4 readers

This post is primarily intended for readers roughly familiar with 2019-era cryptography, especially SNARKs and STARKs. If you are not, I recommend reading those articles first. Special thanks to Justin Drake, Jim Posen, Benjamin Diamond and Radi Cojbasic for feedback and review. Over the past two years, STARKs have become a crucial and irreplaceable technology for efficiently making easy-to-verify cryptographic proofs of very complicated statements (eg. proving that an Ethereum block is valid). A key reason why is small field sizes: whereas elliptic curve-based SNARKs require you to work over 256-bit integers in order to be secure enough, STARKs let you use much smaller field sizes, which are more efficient: first the Goldilocks field (64-bit integers), and then Mersenne31 and BabyBear (both 31-bit). Thanks to these efficiency gains, Plonky2, which uses Goldilocks, is hundreds of times faster at proving many kinds of computation than its predecessors. A natural question to ask is: can

Dark Mode Toggle Binius: highly efficient proofs over binary fields 2024 Apr 29 See all posts Binius: highly efficient proofs over binary fields This post is primarily intended for readers roughly familiar with 2019-era cryptography, especially SNARKs and STARKs . If you are not, I recommend reading those articles first. Special thanks to Justin Drake, Jim Posen, Benjamin Diamond and Radi Cojbasic for feedback and review. Over the past two years, STARKs have become a crucial and irreplaceable technology for efficiently making easy-to-verify cryptographic proofs of very complicated statements (

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