From 5557a8bff6b894e7944f903fccc6145b03ac05bf Mon Sep 17 00:00:00 2001 From: jude Date: Fri, 7 Apr 2023 18:59:33 +0100 Subject: [PATCH] .... --- static/js/modules/crypto/paillier.js | 24 ++++----- whitepaper/Dissertation.bib | 4 +- whitepaper/Dissertation.pdf | Bin 384525 -> 380227 bytes whitepaper/Dissertation.tex | 77 +++++++++++---------------- 4 files changed, 45 insertions(+), 60 deletions(-) diff --git a/static/js/modules/crypto/paillier.js b/static/js/modules/crypto/paillier.js index d66fd5a..6b63763 100644 --- a/static/js/modules/crypto/paillier.js +++ b/static/js/modules/crypto/paillier.js @@ -13,16 +13,17 @@ class Cyphertext { } // Compute g^m by binomial theorem. - let gm = (1n + key.n * plainText) % key.n ** 2n; + let gm = (1n + key.n * plainText) % key.n2; // Compute g^m r^n from crt. - this.cyphertext = (gm * mod_exp(r, key.n, key.n ** 2n)) % key.n ** 2n; + this.cyphertext = (gm * mod_exp(r, key.n, key.n2)) % key.n2; // Force into range. while (this.cyphertext < 0n) { - this.cyphertext += key.n ** 2n; + this.cyphertext += key.n2; } + console.log(performance.now()); this.r = r; this.pubKey = key; this.plainText = plainText; @@ -130,18 +131,14 @@ class ProofSessionVerifier { if (gcd(this.a, this.cipherText.pubKey.n) !== 1n) return -3; // check exp - return mod_exp( - proof, - this.cipherText.pubKey.n, - this.cipherText.pubKey.n ** 2n - ) === + return mod_exp(proof, this.cipherText.pubKey.n, this.cipherText.pubKey.n2) === (this.a * mod_exp( this.cipherText.cyphertext, this.challenge, - this.cipherText.pubKey.n ** 2n + this.cipherText.pubKey.n2 )) % - this.cipherText.pubKey.n ** 2n + this.cipherText.pubKey.n2 ? 1 : -4; } @@ -152,6 +149,7 @@ window.ReadOnlyCyphertext = ReadOnlyCyphertext; export class PaillierPubKey { constructor(n) { this.n = n; + this.n2 = this.n ** 2n; this.g = this.n + 1n; } @@ -173,14 +171,14 @@ export class PaillierPubKey { class PaillierPrivKey { constructor(p, q) { this.n = p * q; + // precompute square of n + this.n2 = this.n ** 2n; this.lambda = (p - 1n) * (q - 1n); this.mu = mod_exp(this.lambda, this.lambda - 1n, this.n); } decrypt(c) { - return ( - (((mod_exp(c, this.lambda, this.n ** 2n) - 1n) / this.n) * this.mu) % this.n - ); + return (((mod_exp(c, this.lambda, this.n2) - 1n) / this.n) * this.mu) % this.n; } } diff --git a/whitepaper/Dissertation.bib b/whitepaper/Dissertation.bib index 5947520..545cb32 100644 --- a/whitepaper/Dissertation.bib +++ b/whitepaper/Dissertation.bib @@ -318,4 +318,6 @@ doi={10.1109/SP.2014.36}} author={Fabrice Boudot}, booktitle={International Conference on the Theory and Application of Cryptographic Techniques}, year={2000} -} \ No newline at end of file +} + +@misc{projectgemini, url={gemini://gemini.circumlunar.space/docs/specification.gmi}, journal={Project gemini}} \ No newline at end of file diff --git a/whitepaper/Dissertation.pdf b/whitepaper/Dissertation.pdf index a91f5a5d7b0653e2d39a0b3d6a5dbd0af6736480..b6c97a8c72b776b17b5424315d6972ed1a8cb074 100644 GIT binary patch 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