From 6b001d9f2c2a4c78e505e1631fe7b047af7cedaf Mon Sep 17 00:00:00 2001 From: jude Date: Sat, 18 Mar 2023 15:41:37 +0000 Subject: [PATCH] code for proof system --- static/js/modules/crypto/math.js | 14 +++++ static/js/modules/crypto/paillier.js | 77 ++++++++++++++++++++++++++- static/js/modules/interface/main.js | 10 ++-- whitepaper/Dissertation.pdf | Bin 306833 -> 307080 bytes whitepaper/Dissertation.tex | 4 +- 5 files changed, 97 insertions(+), 8 deletions(-) diff --git a/static/js/modules/crypto/math.js b/static/js/modules/crypto/math.js index a0c762b..096f096 100644 --- a/static/js/modules/crypto/math.js +++ b/static/js/modules/crypto/math.js @@ -38,4 +38,18 @@ export function mod_inv(a, n) { return t; } +export function gcd(a, b) { + // check a, b are correct types. + a *= 1n; + b *= 1n; + while (b !== 0n) { + let temp = b; + b = a % b; + a = temp; + } + return a; +} + window.mod_exp = mod_exp; +window.mod_inv = mod_inv; +window.gcd = gcd; diff --git a/static/js/modules/crypto/paillier.js b/static/js/modules/crypto/paillier.js index e406ea6..de2176c 100644 --- a/static/js/modules/crypto/paillier.js +++ b/static/js/modules/crypto/paillier.js @@ -17,10 +17,12 @@ class Cyphertext { // Compute g^m r^n from crt this.cyphertext = (gm * mod_exp(r, key.n, key.n ** 2n)) % key.n ** 2n; this.r = r; - this.key = key; + this.pubKey = key; this.plainText = plainText; this.readOnly = false; + + this.rp = null; } update(c) { @@ -32,21 +34,92 @@ class Cyphertext { toString() { return "0x" + this.cyphertext.toString(16); } + + prove() { + return new ProofSessionProver(this); + } + + asReadOnlyCyphertext() { + return new ReadOnlyCyphertext(this.pubKey, this.cyphertext); + } } +class ProofSessionProver { + constructor(cipherText) { + this.cipherText = cipherText; + + this.rp = random2048(); + while (this.rp >= this.cipherText.pubKey.n) { + this.rp = random2048(); + } + } + + noise() { + return mod_exp(this.rp, this.cipherText.pubKey.n, this.cipherText.pubKey.n ** 2n); + } + + prove(challenge) { + return { + proof: + ((this.rp % this.cipherText.pubKey.n) * + mod_exp(this.cipherText.r, challenge, this.cipherText.pubKey.n)) % + this.cipherText.pubKey.n, + }; + } +} + +window.Cyphertext = Cyphertext; + export class ReadOnlyCyphertext { constructor(key, cyphertext) { this.cyphertext = cyphertext; - this.key = key; + this.pubKey = key; this.readOnly = true; + + this.proofPromise = null; } update(c) { this.cyphertext *= c.cyphertext; } + + async prove() { + // request a proof + let promise = new Promise((res) => (this.proofPromise = res)); + } } +class ProofSessionVerifier { + constructor(cipherText, a) { + this.cipherText = cipherText; + this.challenge = random2048(); + this.a = a; + } + + verify(proof) { + // check coprimality + if (gcd(proof, this.cipherText.pubKey.n) !== 1n) return false; + if (gcd(this.cipherText.cyphertext, this.cipherText.pubKey.n) !== 1n) + return false; + if (gcd(this.a, this.cipherText.pubKey.n) !== 1n) return false; + + // check exp + return ( + mod_exp(proof, this.cipherText.pubKey.n, this.cipherText.pubKey.n ** 2n) === + (this.a * + mod_exp( + this.cipherText.cyphertext, + this.challenge, + this.cipherText.pubKey.n ** 2n + )) % + this.cipherText.pubKey.n ** 2n + ); + } +} + +window.ReadOnlyCyphertext = ReadOnlyCyphertext; + export class PaillierPubKey { constructor(n) { this.n = n; diff --git a/static/js/modules/interface/main.js b/static/js/modules/interface/main.js index 5c9a499..e6c3891 100644 --- a/static/js/modules/interface/main.js +++ b/static/js/modules/interface/main.js @@ -146,10 +146,6 @@ document.addEventListener("ACT", async (ev) => { game.currentPlayer().endTurn(); } } - - if (game.allReinforcementsPlaced()) { - game.incrementState(); - } } else { if (await game.currentPlayer().act(data)) { game.currentPlayer().endTurn(); @@ -161,6 +157,12 @@ document.addEventListener("ACT", async (ev) => { } }); +document.addEventListener("endTurn", () => { + if (game.isPregame() && game.allReinforcementsPlaced()) { + game.incrementState(); + } +}); + document.addEventListener("gameStateUpdate", async () => { if (game.isPregame()) { let firstPlayerIndex = await random.get( diff --git a/whitepaper/Dissertation.pdf b/whitepaper/Dissertation.pdf index a19ed28007f983ee70b2e844c6c6cd86bfe5c5e4..91b5f8ee9a14d01440be903f85c733af9390989e 100644 GIT binary patch delta 43598 zcmZshQ*bU!)MjJbwr$(CZQFih+qP}nPELGc+c~l3`{%EktGVe~eY5~ed45H8l1Sl%O8L}qRnMmci_OE)Vb7A6jsj3QewD!`bI zw&RfmO2B%<`Gi>z+h?^vpl~4fp>!Y^ZzQD<2kW>PWw2h>k>|Wqt0RT~ip5$cIV1k4Y+m-=g88B+2M27N4 z&IActgC;};&t6TYMZOtEK)Z=!SOeZI<9DPzCTw&M{U(e=ckGM>Izw(}))N>LHyRz1 zk0xX_22-{YVgue9cEVP(_9%}MZ=`!Z4bF#^fDF?DLpo?hH77p9S^GW6$)vjE2ihL> zcleEgnR!-rk#`G*;*T92Jzx^~7tGXKs>;|42EikEj+!C>^pkvcu~DE5s0$Ac^7qd( z`~l|1U)?oSxI5c@uPf%fIR-x?K+uhUq~C}~*gcL0Vl_oPNh7Z?G*jIp|4kiKd|yo5 z4awf%rrF#0Q8+&MCgSw~AM0DT)njA~btkXE@D zb#HEZ$WJS-EcwIt;V7Z+PGD>Q0aJjs>}M_m-0;*7`@wuNgV}KUF2RZQb35R0reoGL 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