From 9e4a57605ddd67ee415768eaa891f9c538e66c00 Mon Sep 17 00:00:00 2001 From: jude Date: Wed, 26 Apr 2023 14:49:10 +0100 Subject: [PATCH] length proof working --- static/js/modules/interface/proofs.js | 119 +++++++++++++++++++++++++- whitepaper/Dissertation.bib | 14 ++- whitepaper/Dissertation.pdf | Bin 495313 -> 497216 bytes whitepaper/Dissertation.tex | 32 ++++--- 4 files changed, 147 insertions(+), 18 deletions(-) diff --git a/static/js/modules/interface/proofs.js b/static/js/modules/interface/proofs.js index 70e2045..123bc15 100644 --- a/static/js/modules/interface/proofs.js +++ b/static/js/modules/interface/proofs.js @@ -322,16 +322,131 @@ export function proveBitLength(cipherText) { m >>= 1n; } - // TODO finish this + let bitProofs = []; + + for (let bitCommitment of bitCommitments) { + let p = proveOneOfTwo(bitCommitment); + bitProofs.push(p); + } return { + cipherText: cipherText, bitCommitments: bitCommitments, - bitProof: prod.proveNI(), + prodProof: prod.proveNI(), + bitProofs: bitProofs, }; } window.proveBitLength = proveBitLength; +export function verifyBitLength(obj, key) { + // Check product is fine + let prod = new ReadOnlyCiphertext(key, BigInt(obj.cipherText)); + let m = 1n; + + for (let bit of obj.bitCommitments) { + let cBit = new ReadOnlyCiphertext(key, BigInt(bit)); + cBit.mul(m); + prod.update(cBit); + + m >>= 1n; + } + + let p = prod.verifyNI(obj.prodProof); + if (p !== 0n) { + return null; + } + + for (let proof of obj.bitProofs) { + let r = verifyOneOfTwo(proof, key); + if (!r) { + return null; + } + } + + return obj.bitCommitments.length; +} + +window.verifyBitLength = verifyBitLength; + +/** + * Prove that a ciphertext is either a 0 or a -1 + */ +function proveOneOfTwo(cipherText) { + let key = cipherText.pubKey; + let proofs = []; + + for (let x = 0; x < ROUNDS; x++) { + proofs.push({ + cs: cryptoShuffle([key.encrypt(0n), key.encrypt(1n)]), + }); + } + + let verifications = []; + let coins = getCoins(JSON.stringify(proofs)); + + for (let x = 0; x < ROUNDS; x++) { + let coin = coins[x]; + let proof = proofs[x]; + + if (coin === 1) { + verifications.push({ + cProofs: proof.cs.map((p) => p.proveNI()), + }); + } else { + let c1Index = proof.cs.findIndex((c) => c.plainText === 1n); + let c1 = proof.cs[c1Index].clone(); + c1.update(cipherText); + + verifications.push({ + csIndex: c1Index, + zeroProof: c1.proveNI(), + }); + } + } + + return { + cipherText: cipherText, + proofs: proofs, + verifications: verifications, + }; +} + +window.proveOneOfTwo = proveOneOfTwo; + +function verifyOneOfTwo(obj, key) { + let coins = getCoins(JSON.stringify(obj.proofs)); + + for (let x = 0; x < ROUNDS; x++) { + let coin = coins[x]; + let proof = obj.proofs[x]; + let verification = obj.verifications[x]; + + if (coin === 1) { + let c1 = new ReadOnlyCiphertext(key, BigInt(proof.cs[0])); + let p1 = c1.verifyNI(verification.cProofs[0]); + + let c2 = new ReadOnlyCiphertext(key, BigInt(proof.cs[1])); + let p2 = c2.verifyNI(verification.cProofs[1]); + + if (!(p1 === 0n && p2 === 1n) && !(p2 === 0n && p1 === 1n)) { + return false; + } + } else { + let c = new ReadOnlyCiphertext(key, BigInt(proof.cs[verification.csIndex])); + c.update(obj.cipherText); + let p = c.verifyNI(verification.zeroProof); + if (p !== 0n) { + return false; + } + } + } + + return true; +} + +window.verifyOneOfTwo = verifyOneOfTwo; + /** * - We prove that the set contains |S| - 2 zeros, with the final pair summing to zero and sums with the original * set are zero. diff --git a/whitepaper/Dissertation.bib b/whitepaper/Dissertation.bib index 4003bbb..51d744a 100644 --- a/whitepaper/Dissertation.bib +++ b/whitepaper/Dissertation.bib @@ -450,10 +450,18 @@ doi={10.1109/SP.2014.36}} @INPROCEEDINGS{upnp, author={Esnaashari, Shadi and Welch, Ian and Komisarczuk, Peter}, - booktitle={2013 27th International Conference on Advanced Information Networking and Applications Workshops}, - title={Determining Home Users' Vulnerability to Universal Plug and Play (UPnP) Attacks}, + booktitle={2013 27th International Conference on Advanced Information Networking and Applications Workshops}, + title={Determining Home Users' Vulnerability to Universal Plug and Play (UPnP) Attacks}, year={2013}, volume={}, number={}, pages={725-729}, - doi={10.1109/WAINA.2013.225}} \ No newline at end of file + doi={10.1109/WAINA.2013.225}} + +@phdthesis{bulletproofs, + author = {Hasan, Jahid and Xu, Minghai}, + year = {2020}, + month = {06}, + pages = {}, + title = {Bulletproofs: A Non-Interactive Zero Knowledge Proof Protocol For Blockchain Security} +} \ No newline at end of file diff --git a/whitepaper/Dissertation.pdf b/whitepaper/Dissertation.pdf index 684dc16bae60bdc8be8e7fcb50d1589ac97ec1f4..078f79b6e4b08563e59242a98ae0f54563012a7d 100644 GIT binary patch delta 86576 zcmV)1K+V6=ogTof9K8PS*)tOBk9LW^XqyB6uI zX5aPocsLG7_D~IGhp&(%OO94~I@wK4)#Fa(zA$6G1u3(VgOv5)f0^d_f@==$k{2sn 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