Firo

We are proud to publish the <a href="https://firo.org/about/research/papers/Lelantus_Sparks_with_Curve_Trees__Implementation_Notes.pdf" rel="noopener noreferrer nofollow">results of the research grant on curve trees</a> carried out by Aram Jivanyan and funded by the <a href="https://magicgrants.org/funds/firo/" rel="noopener noreferrer nofollow">MAGIC Firo Fund</a>. <a href="https://eprint.iacr.org/2022/756" rel="noopener noreferrer nofollow">Curve trees</a> is a new technique that allows scaling zero-knowledge membership proofs to allow global anonymity sets, meaning that the ZKP is performant enough that it can encompass all transactions in a blockchain. It achieves this without any need for a trusted setup, a key requirement of Firo’s privacy research, while retaining small transaction sizes and quick proving and verification times. Curve trees also allow for efficient batching verification techniques, which can further decrease the marginal cost of proof verification.Lelantus Spark’s unique modular design allows the upgrading of its components, and in this case, curve trees would replace Spark’s use of <a href="https://eprint.iacr.org/2014/764.pdf" rel="noopener noreferrer nofollow">one-out-of-many proofs</a>. The research note covers the necessary modifications to implement curve trees in Spark to scale it to global anonymity sets.We would like to thank Luke Parker <a href="https://github.com/kayabaNerve" rel="noopener noreferrer nofollow">(kayabanerve)</a> and Aaron Feickert of <a href="https://cypherstack.com/" rel="noopener noreferrer nofollow">Cypher Stack</a> for their valuable feedback and help in grasping curve trees and how they would apply to Spark.Related article:<a href="https://firo.org/2023/05/26/elliptic-curves-research.html" rel="noopener noreferrer nofollow">Advancing Privacy: Aram Jivanyan advancing Lelantus Spark</a><a href="https://magicgrants.org/funds/firo/" rel="noopener noreferrer nofollow">MAGIC Firo Fund</a>

Curve Trees: Global Anonymity Sets for Lelantus Spark

Firo

Other articles published on Mar 8, 2024

DOGE Price Jumps 95%: Could Selling Cause a Drop?

Ethereum’s EigenLayer Restaking Protocol Surpasses $11 Billion in TVL

Expert Forecasts Major Growth for Solana and Predicts Bitcoin to Hit Six Digits

Bitcoin: A reaffirmed bullish trajectory!

Art Market Liquidity: Strategies and Insights for Investors

Justin Sun's HTX Tease: $1.6B Bitcoin Holdings; AI Crypto Targets Chainlink's Throne

Join our free newsletter for daily crypto updates!