zkSNARK,zkSTARKs,zkBoo,Sonic,BulletProofs …

,,,;zkSNARK, zkSTARKs, zkBoo, SonicBulletProofs。 ? …

awesome-zero-knowledge-proofs/README.md at …

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Non-interactive zero-knowledge proof - Wikipedia

Bulletproofs was later implemented into Mimblewimble protocol (where Grin and Beam cryptocurrencies based on) and Monero cryptocurrency. [10] In 2018, the zk- STARK (zero-knowledge Scalable Transparent ARgument of Knowledge) [11] protocol was introduced, [12] offering transparency (no trusted setup), quasi-linear proving time, and poly ...

awesome-zero-knowledge-proofs/README.md at master - GitHub

STARKs are SNARKs without Trusted Setup. Learn. Get started: STARK @ Home {video playlist} FRI-STARKs. Introduction: Transparent Succinct Arguments by Alessandro Chiesa (Oct 2018) State of the STARK by Eli Ben-Sasson (Devcon IV, Oct 2018) Introduction to ZK-STARKs by [email protected]; Vitalik Buterin's blog series on STARKs: Part I: Proofs with ...

Privacy in Cryptocurrencies: Zero-Knowledge and zk …

A zero-knowledge Stark. In a paper by Ben-Sasson, Bentov, Horesh, Riabzev (BBHR for short), an alternative to zk-SNARKs called zk-STARKs was proposed which removes the need for a trusted setup. As ...

GitHub - matter-labs/awesome-zero-knowledge-proofs: A ...

,,,;zkSNARK, zkSTARKs, zkBoo, SonicBulletProofs。 ? …

Awesome Zero Knowledge Proofs

SNARKs STARKs Bulletproofs; Algorithmic complexity: prover: O(N * log(N)) O(N * poly-log(N)) O(N * log(N)) Algorithmic complexity: verifier ~O(1) O(poly-log(N)) O(N) Communication complexity (proof size) ~O(1) O(poly-log(N)) O(log(N)) - size estimate for 1 TX: Tx: 200 bytes, Key: 50 : 45 kB: 1.5 kb - size estimate for 10.000 TX: Tx: 200 bytes ...

Bulletproofs, zkSNARKs, And zkSTARKs Walk Into A ...

Initially proposed by Stanford's Applied Cryptography group in 2017, Bulletproofs get their name from a quote by Shashank Agrawal, who described them as: "short like a bullet, with bulletproof security assumptions." Bulletproofs take some of the best features of SNARKs and STARKs to create an efficient middleground.

awesome-zero-knowledge-proofs/README.md at amovchan/snarks ...

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Privacy in Cryptocurrencies: Zero-Knowledge and zk-SNARKs ...

A zero-knowledge Stark. In a paper by Ben-Sasson, Bentov, Horesh, Riabzev (BBHR for short), an alternative to zk-SNARKs called zk-STARKs was proposed which removes the need for a trusted setup. As ...

Our Investment in Starkware - Multicoin Capital

Explaining the differences between SNARKs, STARKs, and Bulletproofs is beyond the scope of this post. If you'd like to learn more, this presentation from Eli Ben-Sasson provides a good overview. While the power to send money anywhere in the world permissionlessly, privately, and without fear of censorship is a profound breakthrough for ...

Bulletproofs and Mimblewimble

In Mimblewimble, the blockchain grows with the size of the UTXO set. Using Bulletproofs as a drop-in replacement for range proofs in confidential transactions, the size of the blockchain would only grow with the number of transactions that have unspent outputs. This is much smaller than the size of the UTXO set [ [1]].

Bulletproofs and Mimblewimble - Tari Labs University

In Mimblewimble, the blockchain grows with the size of the UTXO set. Using Bulletproofs as a drop-in replacement for range proofs in confidential transactions, the size of the blockchain would only grow with the number of transactions that have unspent outputs. This is much smaller than the size of the UTXO set [ 1 ].

CONTENT

For this purpose zk-SNARKs were used. Zk-SNARKs are used in: Zk-SNARKs have the following components [7]: ... Projects that use zk-STARKs: The Bulletproofs whitepaper was published in late 2017 by Jonathan Bootle from ... The most striking examples are Monero and Mimblewimble. In 2018, Bulletproofs began to be used in Monero as a replacement ...

MegaSolar/awesome-zero-knowledge-proofs: - Github Plus

Grin: Simple, privacy-focused, scalable MimbleWimble chain implementation (Bulletproofs) Beam: Private and Scalable Coin based on MimbleWimble; Comparison of the most popular zkp systems. SNARKs STARKs Bulletproofs; Algorithmic complexity: prover: O(N * log(N)) O(N * poly-log(N)) O(N * log(N)) Algorithmic complexity: verifier ~O(1) O(poly-log(N ...

Bulletproofs: Short Proofs for Confidential Transactions ...

Bulletproofs: Short Proofs for Con dential Transactions and More Benedikt Bunz 1, Jonathan Bootley2, Dan Bonehz, Andrew Poelstrax 3, Pieter Wuille{, and Greg Maxwellk 1Stanford University 2University College London 3Blockstream Abstract We propose Bulletproofs, a new non-interactive zero-knowledge proof protocol with very

Resources - Mimblewimble-based Privacy Coin

Poelstra's Mimblewimble paper Aggregate Cash Systems MimbleWimble Report Mimblewimble explained like you're 12 The Human Rights Foundation covered Beam Beam, a Mimblewimble implementation by Vladislav Gelfer (video) Beam, a Mimblewimble implementation by Vladislav Gelfer (slides) Laser Beam Mimblewimble(Pdf) Bulletproofs …

Zero-Knowledge Proof Guide: 110+ Resources

Zero Knowledge Proofs • Jun 17, 2020. This is a curated list of resources regarding Zero-Knowledge Proofs including articles, videos, podcasts, academic research, websites, libraries, tools, plugins, comparison tables, tutorials, and, examples. Please check the contribution guidelines for info on formatting and writing pull requests.

Awesome Zero Knowledge Proofs

STARKS. STARK = Succinct (Scalable) Transparent ARguments of Knowledge. STARKs are SNARKs without Trusted Setup. Learn. Get started: STARK @ Home {video playlist} FRI-STARKs. Introduction: Transparent Succinct Arguments by Alessandro Chiesa (Oct 2018) State of the STARK by Eli Ben-Sasson (Devcon IV, Oct 2018)