├── .gitignore
├── README.md
├── dist
└── .gitkeep
├── index.html
├── package-lock.json
├── package.json
├── src
├── art-state.js
├── art.js
├── base64.js
├── blank.js
├── dh.js
├── eckem.js
├── flat-state.js
├── iota.js
├── main.js
├── renderer.js
├── state-tester.js
├── tree-math.js
├── tree.js
├── treekem-state.js
├── treekem.js
└── util.js
└── web
└── jquery-3.3.1.min.js
/.gitignore:
--------------------------------------------------------------------------------
1 | # Ignore files installed by npm
2 | node_modules
3 |
4 | # Ignore dist files, but keep the directory
5 | dist/*
6 | !dist/.gitkeep
7 |
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/README.md:
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1 | # TreeKEM for Group Key Management
2 |
3 | This repo contains an implementation of a group key management
4 | scheme based on key encryption (KEM) rather than DH. In both the DH
5 | and KEM cases, the participants are arranged in a tree. The DH case
6 | corresponds to [ART](https://eprint.iacr.org/2017/666). Since we're
7 | using KEM and a tree here, we call the approach TreeKEM.
8 |
9 | In the `src` folder, there are implementations of three different
10 | group key agreement protocols: ART, TreeKEM, and a "flat" protocol
11 | where everyone just stores / sends `O(N)` keys. After building, you
12 | can use `index.html` to exercise these protocols and see
13 | visualizations of how they work.
14 |
15 | ## Quickstart
16 |
17 | ```
18 | > npm install
19 | > npm run build
20 | > open index.html
21 | # Use buttons to perform tree operations
22 | ```
23 |
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/dist/.gitkeep:
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https://raw.githubusercontent.com/bifurcation/treekem/a799f95815f542d058c271fc066a2b51a4c55971/dist/.gitkeep
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/index.html:
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1 |
2 |
3 |
4 |
5 | TreeKEM
6 |
7 |
8 |
372 |
429 |
430 |
431 |
432 |
433 |
434 |
435 | UserAdd
438 | GroupAdd
439 |
440 |
441 | Filled boxes are nodes with private keys.
442 | Empty boxes are nodes with only public keys.
443 | Grey boxes are nodes where there is no data.
444 |
446 |
447 |
448 |
449 |
450 |
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/package-lock.json:
--------------------------------------------------------------------------------
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1243 |
--------------------------------------------------------------------------------
/package.json:
--------------------------------------------------------------------------------
1 | {
2 | "name": "TKEM",
3 | "description": "Tree-based KEM",
4 | "version": "0.0.0",
5 | "dependencies": {
6 | "bn.js": "^4.11.8",
7 | "browserify": "^16.2.0",
8 | "elliptic": "^6.4.0",
9 | "svg.js": "^2.6.4"
10 | },
11 | "licenses": [
12 | {
13 | "type": "MIT",
14 | "url": "http://www.opensource.org/licenses/mit-license.php"
15 | }
16 | ],
17 | "scripts": {
18 | "watch": "watchify src/*.js -o dist/index.js -v",
19 | "build": "browserify src/main.js -o dist/index.js"
20 | },
21 | "devDependencies": {
22 | "browserify": "^16.2.2"
23 | }
24 | }
25 |
--------------------------------------------------------------------------------
/src/art-state.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const ART = require('./art').class;
4 | const iota = require('./iota');
5 |
6 | class ARTState {
7 | constructor() {
8 | this.art = null;
9 | }
10 |
11 | get index() {
12 | return this.art.index;
13 | }
14 |
15 | get size() {
16 | return this.art.size;
17 | }
18 |
19 | get nodes() {
20 | return this.art.nodes;
21 | }
22 |
23 | static fromJSON(obj) {
24 | let out = new ARTState();
25 | out.art = ART.fromJSON(obj.art);
26 | return out;
27 | }
28 |
29 | static async oneMemberGroup(leaf) {
30 | let state = new ARTState();
31 | state.art = await ART.oneMemberGroup(leaf);
32 | return state;
33 | }
34 |
35 | static async fromGroupAdd(initLeaf, groupAdd) {
36 | let initKP = await iota(initLeaf);
37 | let leaf = await DH.secret(initKP.privateKey, groupAdd.forJoiner.ephemeral);
38 |
39 | let state = new ARTState();
40 | state.art = await ART.fromFrontier(groupAdd.forJoiner.size, groupAdd.forJoiner.frontier, leaf);
41 | return state;
42 | }
43 |
44 | static async fromUserAdd(leaf, /* IGNORED */ userAdd, groupInitKey) {
45 | let state = new ARTState();
46 | state.art = await ART.fromFrontier(groupInitKey.size, groupInitKey.frontier, leaf);
47 | return state;
48 | }
49 |
50 | static async join(leaf, groupInitKey) {
51 | let art = await ART.fromFrontier(groupInitKey.size, groupInitKey.frontier, leaf);
52 | return {
53 | path: art.dirpath(art.size - 1),
54 | }
55 | }
56 |
57 | async add(userInitPub) {
58 | let kp = await DH.newKeyPair();
59 | let leaf = await DH.secret(kp.privateKey, userInitPub);
60 |
61 | let gik = this.groupInitKey;
62 | let ua = await ARTState.join(leaf, gik);
63 |
64 | return {
65 | forGroup: ua,
66 | forJoiner: {
67 | size: gik.size,
68 | frontier: gik.frontier,
69 | ephemeral: kp.publicKey,
70 | },
71 | };
72 | }
73 |
74 | async update(leaf) {
75 | let path = await this.art.updatePath(leaf);
76 | return { path: path };
77 | }
78 |
79 | async remove(index) {
80 | /* TODO */
81 | return {};
82 | }
83 |
84 | get groupInitKey() {
85 | return {
86 | size: this.art.size,
87 | frontier: this.art.frontier(),
88 | };
89 | }
90 |
91 | async handleUserAdd(ua) {
92 | this.art.size += 1;
93 | await this.art.merge(ua.path);
94 | }
95 |
96 | async handleGroupAdd(ga) {
97 | this.art.size += 1;
98 | await this.art.merge(ga.forGroup.path);
99 | }
100 |
101 | async handleSelfUpdate(/* IGNORED */ update, leaf) {
102 | await this.art.setOwnLeaf(leaf);
103 | }
104 |
105 | async handleUpdate(update) {
106 | await this.art.merge(update.path);
107 | }
108 |
109 | async handleRemove(remove) {
110 | /* TODO */
111 | }
112 | }
113 |
114 | module.exports = ARTState;
115 |
--------------------------------------------------------------------------------
/src/art.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const DH = require('./dh');
4 | const tm = require('./tree-math');
5 | const util = require('./util');
6 |
7 | class ART {
8 | /*
9 | * ART objects should not be constructed directly. Instead, use
10 | * the `ART.fromX` factory methods. This only exists to give
11 | * certain variables public exposure for debugging, and as a base
12 | * for the factory methods. It would be private in C++.
13 | */
14 | constructor() {
15 | this.size = 0;
16 | this.index = 0;
17 | this.nodes = [];
18 | }
19 |
20 | static fromJSON(obj) {
21 | let out = new ART();
22 | out.size = obj.size;
23 | out.index = obj.index;
24 | out.nodes = obj.nodes;
25 | return out;
26 | }
27 |
28 | /*
29 | * Construct an ART representing a group with a single member,
30 | * with the given leaf secret.
31 | */
32 | static async oneMemberGroup(leaf) {
33 | let art = new ART();
34 | art.size = 1;
35 | art.index = 0;
36 | await art.setOwnLeaf(leaf);
37 | return art;
38 | }
39 |
40 | /*
41 | * Construct a tree that extends a tree with the given size and
42 | * frontier by adding a member with the given leaf secret.
43 | */
44 | static async fromFrontier(size, frontier, leaf) {
45 | let art = new ART();
46 | art.size = size + 1;
47 | art.index = size;
48 | await art.merge(frontier);
49 | await art.setOwnLeaf(leaf)
50 | return art;
51 | }
52 |
53 | /*
54 | * Updates the leaf node corresponding to the holder of this tree
55 | */
56 | async setOwnLeaf(leaf) {
57 | let node = await util.newNode(leaf);
58 | let nodes = {};
59 | nodes[2 * this.index] = node;
60 | await this.merge(nodes);
61 | }
62 |
63 | /*
64 | * Updates nodes in the tree. This proceeds in two stages:
65 | * 1. Copy the nodes into the tree
66 | * 2. Update any nodes above the changed nodes
67 | *
68 | * Arguments:
69 | * nodes - Dictionary of nodes to udpate: { Int: Node }
70 | *
71 | * Returns: None
72 | */
73 | async merge(nodes) {
74 | let toUpdate = {};
75 | for (let n in nodes) {
76 | this.nodes[n] = nodes[n];
77 |
78 | const p = tm.parent(n, this.size);
79 | toUpdate[p] = true;
80 | }
81 |
82 | while (Object.keys(toUpdate).length > 0) {
83 | let nextToUpdate = {};
84 |
85 | for (let p in toUpdate) {
86 | let l = tm.left(p);
87 | let r = tm.right(p, this.size);
88 | if ((l == p) || (r == p)) {
89 | continue;
90 | }
91 |
92 | if (!this.nodes[l] || !this.nodes[r]) {
93 | continue;
94 | }
95 |
96 | let secret;
97 | if (this.nodes[l].private) {
98 | secret = await DH.secret(this.nodes[l].private, this.nodes[r].public);
99 | } else if (this.nodes[r].private) {
100 | secret = await DH.secret(this.nodes[r].private, this.nodes[l].public);
101 | } else {
102 | continue;
103 | }
104 |
105 | this.nodes[p] = await util.newNode(secret);
106 |
107 | // #ifdef COLORIZE
108 | this.nodes[p].color = util.colorAvg(this.nodes[l].color, this.nodes[r].color);
109 | // #endif /* def COLORIZE */
110 |
111 | const pp = tm.parent(p, this.size);
112 | if (pp != p) {
113 | nextToUpdate[pp] = true;
114 | }
115 | }
116 |
117 | toUpdate = nextToUpdate;
118 | }
119 | }
120 |
121 | /*
122 | * Returns the nodes along the dirpath from this tree's leaf to
123 | * the root.
124 | */
125 | dirpath() {
126 | return util.nodePath(this.nodes, tm.dirpath(2 * this.index, this.size));
127 | }
128 |
129 | /*
130 | * Returns the nodes on the frontier of the tree { Int: Node }
131 | */
132 | frontier() {
133 | return util.nodePath(this.nodes, tm.frontier(this.size));
134 | }
135 |
136 | /*
137 | * Returns the path to the root from our leaf, assuming we replace
138 | * our leaf with the provided leaf.
139 | */
140 | async updatePath(leaf) {
141 | let art = new ART();
142 | art.size = this.size;
143 | art.index = this.index;
144 | art.merge(this.nodes);
145 | await art.setOwnLeaf(leaf);
146 | return art.dirpath();
147 | }
148 | }
149 |
150 | module.exports = {
151 | class: ART,
152 | }
153 |
--------------------------------------------------------------------------------
/src/base64.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | module.exports = {
4 | stringify: function(a) {
5 | if (a instanceof ArrayBuffer) {
6 | a = new Uint8Array(a);
7 | }
8 |
9 | return btoa(String.fromCharCode.apply(0, a))
10 | .replace(/=/g, "")
11 | .replace(/\+/g, "-")
12 | .replace(/\//g, "_");
13 | },
14 |
15 | parse: function(s) {
16 | s = s.replace(/-/g, "+")
17 | .replace(/_/g, "/")
18 | .replace(/\s/g, '');
19 | let u = new Uint8Array(Array.prototype.map.call(atob(s), c => c.charCodeAt(0)));
20 | return u.buffer;
21 | },
22 |
23 | random: function(n) {
24 | const b = crypto.getRandomValues(new Uint8Array(n));
25 | return this.stringify(b);
26 | },
27 | };
28 |
--------------------------------------------------------------------------------
/src/blank.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const tm = require('./tree-math.js');
4 |
5 | function createNode(val, i) {
6 | let priv = val + 'x'.repeat(i);
7 | return {
8 | priv: priv,
9 | pub: priv.toUpperCase(),
10 | };
11 | }
12 |
13 | function formatNode(node) {
14 | return `(${node.priv}, ${node.pub})`;
15 | }
16 |
17 | // Have to extend Array with a non-enumerable property so that
18 | // for-in / for-of loops work properly
19 | Object.defineProperty(Array.prototype, 'remove', {
20 | enumerable: false,
21 | value: function(val) {
22 | if (this.includes(val)) {
23 | this.splice(this.indexOf(val), 1);
24 | }
25 | },
26 | });
27 |
28 | Object.defineProperty(Array.prototype, 'addUnique', {
29 | enumerable: false,
30 | value: function(val) {
31 | if (!this.includes(val)) {
32 | this.push(val);
33 | }
34 | },
35 | });
36 |
37 | class Tree {
38 | constructor(size) {
39 | this.size = size || 0;
40 |
41 | this.nodes = [];
42 | while (this.nodes.length < tm.nodeWidth(this.size)) {
43 | this.nodes.push(null);
44 | }
45 |
46 | this.known = [];
47 | while (this.known.length < this.size) {
48 | this.known.push([]);
49 | }
50 | }
51 |
52 | hasPriv(i, priv) {
53 | return this.known[i].filter(x => priv.startsWith(x)).length > 0;
54 | }
55 |
56 | dump() {
57 | console.log("=====");
58 | console.log("Size:", this.size);
59 | console.log("Nodes:");
60 | for (let i=0; i this.nodes[n]);
108 |
109 | dirpath.map((n, i) => {
110 | this.nodes[n] = createNode(val, i);
111 | if (i == 0) {
112 | return
113 | }
114 |
115 | let L = tm.left(n), R = tm.right(n, this.size);
116 | let child = (dirpath.includes(L))? R : L;
117 | let newPriv = this.nodes[n].priv;
118 | let oldPriv = (old[i])? old[i].priv : null;
119 | this.send(child, newPriv, oldPriv);
120 | });
121 |
122 | let oldPriv = (old[0])? old[0].priv : null;
123 | if (!oldPriv) {
124 | this.known[k].push(val);
125 | } else {
126 | this.sendPriv(oldPriv, val, oldPriv);
127 | }
128 | }
129 |
130 | unset(k, val) {
131 | let dirpath = tm.dirpath(2*k, this.size);
132 | for (let n of dirpath) {
133 | delete this.nodes[n];
134 | }
135 |
136 | if (val) {
137 | let r = tm.root(this.size);
138 | let oldPriv = this.nodes[r].priv;
139 | this.nodes[r] = createNode(val, 0);
140 | this.send(r, val, oldPriv);
141 | }
142 | }
143 |
144 | move(src, dst, val) {
145 | this.unset(src);
146 | this.set(dst, val);
147 | }
148 |
149 | // A node's private key is held by a leaf iff :
150 | // * the leaf is in the shadow of the node, and
151 | // * the leaf is not blank
152 | verify() {
153 | for (let n in this.nodes) {
154 | if (!this.nodes[n]) {
155 | continue;
156 | }
157 |
158 | n = parseInt(n);
159 | let priv = this.nodes[n].priv;
160 | let shadow = tm.shadow(n, this.size)
161 | .filter(x => !(x & 1))
162 | .filter(x => !!this.nodes[x])
163 | .map(x => x/2);
164 | let hasPriv = [...Array(this.size).keys()].filter(i => this.hasPriv(i, priv));
165 |
166 | let shadowSet = {};
167 | for (let x of shadow) {
168 | shadowSet[x] = true;
169 | }
170 | for (let x of hasPriv) {
171 | if (!shadowSet[x]) {
172 | console.log(priv, ':', shadow, '!=', hasPriv);
173 | return false;
174 | }
175 | }
176 | }
177 |
178 | return true;
179 | }
180 | }
181 |
182 | function fill(tree) {
183 | for (let i = 0; i < tree.size; i += 1) {
184 | let val = String.fromCharCode('a'.charCodeAt(0) + i);
185 | tree.set(i, val);
186 | }
187 | return tree;
188 | }
189 |
190 | function testSet() {
191 | let tree = new Tree(7);
192 | fill(tree);
193 | console.log('[set]', tree.verify());
194 | }
195 |
196 | function testUnset() {
197 | let tree = new Tree(7);
198 | fill(tree);
199 |
200 | tree.unset(3, 'r');
201 | tree.unset(2, 's');
202 | tree.unset(1, 't');
203 |
204 | console.log('[unset]', tree.verify());
205 | }
206 |
207 | function testReset() {
208 | let tree = new Tree(7);
209 | fill(tree);
210 |
211 | tree.unset(2, 'h');
212 | tree.set(0, 'i');
213 | tree.set(6, 'j');
214 |
215 | console.log('[reset]', tree.verify());
216 | }
217 |
218 | function testMove() {
219 | let tree = new Tree(7);
220 | fill(tree);
221 |
222 | tree.unset(3, 'r');
223 | tree.unset(2, 's');
224 | tree.unset(1, 't');
225 |
226 | tree.move(4, 1, 'h');
227 | tree.move(5, 2, 'i');
228 | tree.move(6, 3, 'j');
229 |
230 | console.log('[move]', tree.verify());
231 | }
232 |
233 | function testChaos() {
234 | let rounds = 200;
235 | let branches = 3;
236 | let size = 63;
237 |
238 | let tree = new Tree(size);
239 | let all = [...Array(size).keys()];
240 | let unset = [...Array(size).keys()];
241 | let set = [];
242 | let rand = (arr) => arr[Math.floor(Math.random() * arr.length)];
243 | let move = (val, src, dst) => {
244 | src.remove(val);
245 | dst.addUnique(val);
246 | };
247 |
248 | let base = 'a'.charCodeAt(0);
249 | let val = 0;
250 | let next = () => String.fromCharCode(base + val++);
251 |
252 | let doSet = () => {
253 | if (unset.length == 0) {
254 | return true;
255 | }
256 |
257 | let i = rand(all);
258 | tree.set(i, next());
259 | move(i, unset, set);
260 | return false;
261 | };
262 |
263 | let doUnset = () => {
264 | if (set.length == 0) {
265 | return true;
266 | }
267 |
268 | let i = rand(set);
269 | tree.unset(i, next());
270 | move(i, set, unset);
271 | return false;
272 | };
273 |
274 | let doMove = () => {
275 | if (set.length == 0 || unset.length == 0) {
276 | return true;
277 | }
278 |
279 | let src = rand(set);
280 | let dst = rand(unset);
281 | tree.move(src, dst, next());
282 | move(src, set, unset);
283 | move(dst, unset, set);
284 | return false;
285 | };
286 |
287 | let start = Date.now();
288 |
289 | // Initialize the tree about half-full
290 | while (set.length / tree.size < 0.5) {
291 | doSet();
292 | }
293 |
294 | for (let i = 0; i < rounds; ++i) {
295 | let roll = Math.floor(Math.random() * branches);
296 |
297 | let reroll = true;
298 | switch (roll) {
299 | case 0: reroll = doSet(); break;
300 | case 1: reroll = doUnset(); break;
301 | case 2: reroll = doMove(); break;
302 | }
303 |
304 | if (!tree.verify()) {
305 | console.log('[chaos] fail');
306 | return;
307 | }
308 |
309 | if (reroll) {
310 | i--;
311 | }
312 | }
313 |
314 | let finish = Date.now();
315 | let elapsed = (finish - start) / 1000;
316 | console.log(`[chaos] pass in ${elapsed} sec`);
317 | }
318 |
319 | module.exports = {
320 | Tree: Tree,
321 |
322 | // node -e "require('./blank').test()"
323 | test: function test() {
324 | testSet();
325 | testUnset();
326 | testReset();
327 | testMove();
328 | testChaos();
329 | },
330 | };
331 |
332 |
333 |
334 |
335 |
--------------------------------------------------------------------------------
/src/dh.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const base64 = require('./base64');
4 | const cs = window.crypto.subtle;
5 |
6 | const ECDH_KEY_USAGES = ["deriveBits", "deriveKey"];
7 | const ECDH_GEN = { name: "ECDH", namedCurve: "P-256" };
8 | const SECRET_BITS = 256;
9 |
10 | async function _import(jwk) {
11 | // XXX(rlb@ipv.sx): Firefox appears not to set this properly on export
12 | jwk.key_ops = ECDH_KEY_USAGES;
13 | return await cs.importKey("jwk", jwk, ECDH_GEN, true, ["deriveBits"]);
14 | }
15 |
16 | async function _export(pub) {
17 | return cs.exportKey("jwk", pub)
18 | }
19 |
20 | /*
21 | * Arguments: None
22 | *
23 | * Returns: Promise resolving to:
24 | * {
25 | * privateKey: CryptoKey,
26 | * publicKey: CryptoKey,
27 | * }
28 | */
29 | async function newKeyPair() {
30 | const kp = await cs.generateKey(ECDH_GEN, true, ECDH_KEY_USAGES);
31 | return {
32 | privateKey: await _export(kp.privateKey),
33 | publicKey: await _export(kp.publicKey),
34 | };
35 | }
36 |
37 | /*
38 | * Arguments:
39 | * priv: CryptoKey representing a DH private key
40 | * pub: CryptoKey representing a DH public key
41 | *
42 | * Returns: Promise resolving to ArrayBuffer
43 | */
44 | async function secret(privJWK, pubJWK) {
45 | const priv = await _import(privJWK);
46 | const pub = await _import(pubJWK);
47 | const alg = {
48 | name: "ECDH",
49 | namedCurve: "P-256",
50 | public: pub,
51 | };
52 |
53 | const ss = await cs.deriveBits(alg, priv, SECRET_BITS);
54 | return base64.stringify(ss);
55 | }
56 |
57 | /*
58 | * Arguments:
59 | * pub: CryptoKey representing a DH public key
60 | *
61 | * Returns: Promise resolving to a string with the hex SHA-256 hash
62 | * of the SPKI representation of the public key.
63 | */
64 | async function fingerprint(pubJWK) {
65 | const pub = await _import(pubJWK);
66 | const spki = await cs.exportKey("spki", pub);
67 | const digest = await cs.digest("SHA-256", spki);
68 | return base64.stringify(digest);
69 | }
70 |
71 | /*
72 | * Self-test: DH exchange
73 | */
74 | async function test() {
75 | const base64 = require("./base64");
76 |
77 | try {
78 | console.log("newKP...");
79 | const kpA = await newKeyPair();
80 | const kpB = await newKeyPair();
81 |
82 | console.log("secret...");
83 | const ssAB = await secret(kpA.privateKey, kpB.publicKey);
84 | const ssBA = await secret(kpB.privateKey, kpA.publicKey);
85 |
86 | console.log("[DH]", (ssAB == ssBA)? "PASS" : "FAIL");
87 | } catch (err) {
88 | console.log("[DH] FAIL:", err);
89 | }
90 | }
91 |
92 | module.exports = {
93 | newKeyPair: newKeyPair,
94 | secret: secret,
95 | fingerprint: fingerprint,
96 | test: test,
97 | }
98 |
--------------------------------------------------------------------------------
/src/eckem.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const cs = window.crypto.subtle;
4 | const DH = require('./dh');
5 | const base64 = require('./base64');
6 |
7 | function AES_GCM_ENC(iv) {
8 | return {
9 | name: "AES-GCM",
10 | iv: iv || crypto.getRandomValues(new Uint8Array(12)),
11 | };
12 | }
13 |
14 | /*
15 | * Arguments:
16 | * plaintext: The value to be encrypted, as a BufferSource
17 | * pub: Public key for the receiver
18 | *
19 | * Returns: Promise resolving to an ECKEMCiphertext object:
20 | * {
21 | * pub: CryptoKey
22 | * iv: BufferSource
23 | * ct: BufferSource
24 | * }
25 | */
26 | async function encrypt(pt64, pubA) {
27 | const pt = base64.parse(pt64);
28 | const kpE = await DH.newKeyPair();
29 | const ekData64 = await DH.secret(kpE.privateKey, pubA);
30 | const ekData = base64.parse(ekData64);
31 | const ek = await cs.importKey("raw", ekData, "AES-GCM", false, ['encrypt']);
32 |
33 | const iv = window.crypto.getRandomValues(new Uint8Array(12))
34 | const alg = { name: "AES-GCM", iv: iv };
35 | const ct = await cs.encrypt(alg, ek, pt);
36 |
37 | return {
38 | pub: kpE.publicKey,
39 | iv: base64.stringify(iv),
40 | ct: base64.stringify(ct),
41 | };
42 | }
43 |
44 | /*
45 | * Arguments:
46 | * ciphertext: The value to be decrypted, as an object
47 | * priv: Private key for the receiver
48 | *
49 | * Returns: Promise
50 | */
51 | async function decrypt(ciphertext, priv) {
52 | const iv = base64.parse(ciphertext.iv);
53 | const ct = base64.parse(ciphertext.ct);
54 | const alg = { name: "AES-GCM", iv: iv };
55 |
56 | const ekData64 = await DH.secret(priv, ciphertext.pub);
57 | const ekData = base64.parse(ekData64);
58 | const ek = await cs.importKey("raw", ekData, "AES-GCM", false, ['decrypt']);
59 | const pt = await cs.decrypt(alg, ek, ct);
60 | return base64.stringify(pt);
61 | }
62 |
63 | /*
64 | * Self-test: Encrypt/decrypt round trip
65 | */
66 | async function test() {
67 | const original = new Uint8Array([0,1,2,3]);
68 | const kp = await DH.newKeyPair();
69 |
70 | try {
71 | const encrypted = await encrypt(original, kp.publicKey);
72 | const decrypted = await decrypt(encrypted, kp.privateKey);
73 | const equal = (Array.from(decrypted).filter((x,i) => (original[i] != x)).length == 0)
74 | console.log("[ECKEM]", equal? "PASS" : "FAIL");
75 | } catch (err) {
76 | console.log("[ECKEM] FAIL:", err);
77 | }
78 | }
79 |
80 | module.exports = {
81 | encrypt: encrypt,
82 | decrypt: decrypt,
83 | test: test,
84 | }
85 |
--------------------------------------------------------------------------------
/src/flat-state.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const DH = require('./dh');
4 | const iota = require('./iota');
5 | const util = require('./util');
6 | const cs = window.crypto.subtle;
7 |
8 | class FlatState {
9 | constructor() {
10 | this.index = 0;
11 | this.size = 1;
12 | this.nodes = [];
13 | }
14 |
15 | async _setOwnNode(leaf) {
16 | this.nodes[2 * this.index] = await util.newNode(leaf)
17 | }
18 |
19 | static async oneMemberGroup(leaf) {
20 | let state = new FlatState();
21 | await state._setOwnNode(leaf);
22 | return state;
23 | }
24 |
25 | static async fromGroupAdd(initLeaf, groupAdd) {
26 | let state = new FlatState();
27 | state.size = groupAdd.forJoiner.size + 1;
28 | state.index = groupAdd.forJoiner.size;
29 | state.nodes = groupAdd.forJoiner.nodes;
30 | await state._setOwnNode(initLeaf);
31 | return state;
32 | }
33 |
34 | static async fromUserAdd(leaf, /* IGNORED */ userAdd, groupInitKey) {
35 | let state = new FlatState();
36 | state.size = groupInitKey.size + 1;
37 | state.index = groupInitKey.size;
38 | state.nodes = groupInitKey.nodes;
39 | await state._setOwnNode(leaf);
40 | return state;
41 | }
42 |
43 | static async join(leaf, groupInitKey) {
44 | let kp = await iota(leaf);
45 | return kp.publicKey;
46 | }
47 |
48 | async add(userInitPub) {
49 | return {
50 | forJoiner: this.groupInitKey,
51 | forGroup: userInitPub,
52 | };
53 | }
54 |
55 | async update(leaf) {
56 | let kp = await iota(leaf);
57 | return {
58 | from: this.index,
59 | public: kp.publicKey,
60 | };
61 | }
62 |
63 | async remove(index) {
64 | /* TODO */
65 | return {};
66 | }
67 |
68 | get groupInitKey() {
69 | let publicNodes = {};
70 | for (let n in this.nodes) {
71 | publicNodes[n] = util.publicNode(this.nodes[n]);
72 | }
73 |
74 | return {
75 | size: this.size,
76 | nodes: publicNodes,
77 | };
78 | }
79 |
80 | async handleUserAdd(ua) {
81 | this.nodes[2 * this.size] = { public: ua };
82 | this.size += 1;
83 | }
84 |
85 | async handleGroupAdd(ga) {
86 | this.nodes[2 * this.size] = { public: ga.forGroup };
87 | this.size += 1;
88 | }
89 |
90 | async handleSelfUpdate(/* IGNORED */ update, leaf) {
91 | await this._setOwnNode(leaf);
92 | }
93 |
94 | async handleUpdate(update) {
95 | this.nodes[2 * update.from].public = update.public;
96 | }
97 |
98 | async handleRemove(remove) {
99 | /* TODO */
100 | }
101 | }
102 |
103 | module.exports = FlatState;
104 |
--------------------------------------------------------------------------------
/src/iota.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const cs = window.crypto.subtle;
4 | const EC = require('elliptic').ec;
5 | const BN = require('bn.js');
6 | const base64 = require('./base64');
7 |
8 | const p256 = new EC('p256');
9 |
10 | const ENDIAN = 'be';
11 | const INTLEN = 32;
12 |
13 | function bn2b64(n) {
14 | const bytes = n.toArray(ENDIAN, INTLEN);
15 | let base64 = (new Buffer(bytes)).toString('base64');
16 | return base64.replace(/=/g, '')
17 | .replace(/\+/g, '-')
18 | .replace(/\//g, '_');
19 | }
20 |
21 | async function iota(secret64) {
22 | // Digest the input
23 | const secret = base64.parse(secret64);
24 | const digest = await cs.digest("SHA-256", secret);
25 |
26 | // Convert it to an integer and compute the resulting key pair
27 | const arr = Array.from(new Uint8Array(digest));
28 | const hex = arr.map(x => ('0' + x.toString(16)).slice(-2)).join("");
29 | const bnD = new BN(hex, 16);
30 | const keyPair = p256.keyFromPrivate(bnD);
31 | keyPair.getPublic();
32 |
33 | // Build JWKs
34 | const d = bn2b64(bnD);
35 | const x = bn2b64(keyPair.pub.x.fromRed());
36 | const y = bn2b64(keyPair.pub.y.fromRed());
37 | const privJWK = {kty: "EC", crv: "P-256", x: x, y: y, d: d};
38 | const pubJWK = {kty: "EC", crv: "P-256", x: x, y: y};
39 |
40 | const alg = {
41 | name: "ECDH",
42 | namedCurve: "P-256",
43 | };
44 | return {
45 | privateKey: privJWK,
46 | publicKey: pubJWK,
47 | }
48 | }
49 |
50 | module.exports = iota;
51 |
--------------------------------------------------------------------------------
/src/main.js:
--------------------------------------------------------------------------------
1 | window.base64 = require('./base64');
2 | window.DH = require('./dh');
3 | window.ECKEM = require('./eckem');
4 | window.iota = require('./iota');
5 | window.tm = require('./tree-math');
6 |
7 | window.ART = require('./art');
8 | window.TKEM = require('./treekem');
9 |
10 | window.Tree = require('./tree');
11 | window.FlatState = require('./flat-state');
12 | window.TreeKEMState = require('./treekem-state');
13 | window.ARTState = require('./art-state');
14 | window.Renderer = require('./renderer');
15 | window.StateTester = require('./state-tester');
16 |
--------------------------------------------------------------------------------
/src/renderer.js:
--------------------------------------------------------------------------------
1 | 'use strict'
2 |
3 | const tm = require('./tree-math');
4 | const util = require('./util');
5 | const SVG = require('svg.js');
6 |
7 | const PAD = 1;
8 | const RECTRAD = 5;
9 | const RECTSPACE = 25;
10 | const STROKEWIDTH = 2;
11 | const RECTSIZE = 2 * RECTRAD;
12 |
13 | const DEFAULTSTROKE = "#eee";
14 | const DEFAULTFILL = "#fff";
15 |
16 | function center(n, height) {
17 | const h = tm.level(n);
18 | return {
19 | x: n * RECTSPACE + RECTRAD + PAD,
20 | y: (height - h) * RECTSPACE + RECTRAD + PAD,
21 | };
22 | }
23 |
24 | function resize(svg, width, height) {
25 | let w = (width-1) * RECTSPACE + RECTSIZE + 2 * PAD;
26 | let h = height * RECTSPACE + RECTSIZE + 2 * PAD;
27 | svg.size(w, h);
28 | }
29 |
30 | function hsl(vals) {
31 | let [h, s, l] = vals;
32 | return `hsl(${h}, ${s}%, ${l}%)`;
33 | }
34 |
35 | class Renderer {
36 | constructor(id) {
37 | this.svg = SVG(id);
38 | resize(this.svg, 0, 0);
39 | this.lineGroup = this.svg.group();
40 | this.rectGroup = this.svg.group();
41 | this.lines = [];
42 | this.rects = [];
43 | }
44 |
45 | async render(size, nodes) {
46 | const root = tm.root(size);
47 | const height = tm.level(root);
48 | const width = tm.nodeWidth(size);
49 |
50 | let index = [...Array(width).keys()];
51 | let nc = index.map(k => center(k, height));
52 | let np = index.map(k => tm.parent(k, size))
53 | let pc = index.map(k => nc[np[k]]);
54 |
55 | // Add rectangles if needed
56 | resize(this.svg, width, height);
57 | while (this.rects.length < width) {
58 | let k = this.rects.length;
59 |
60 | let line = this.lineGroup.line(nc[k].x, nc[k].y, pc[k].x, pc[k].y)
61 | .stroke({ width: STROKEWIDTH });
62 |
63 | let rect = this.rectGroup.rect(RECTSIZE, RECTSIZE)
64 | .cx(nc[k].x).cy(nc[k].y)
65 | .stroke({ width: STROKEWIDTH });
66 |
67 | this.lines.push(line);
68 | this.rects.push(rect);
69 | }
70 |
71 | // Move everything to the right position
72 | nc.map((c, k) => {
73 | this.rects[k].cx(nc[k].x).cy(nc[k].y);
74 | this.lines[k].plot(nc[k].x, nc[k].y, pc[k].x, pc[k].y);
75 | });
76 |
77 | // Apply colors
78 | let stroke = await Promise.all(index.map(async k => {
79 | return (!nodes[k])? DEFAULTSTROKE
80 | : (nodes[k].color)? hsl(nodes[k].color)
81 | : hsl(await util.keyColor(nodes[k].public));
82 | }));
83 |
84 | let fill = index.map(k => {
85 | let rectStroke = (!nodes[np[k]])? DEFAULTSTROKE : stroke[k];
86 | return (nodes[k] && nodes[k].private)? stroke[k] : DEFAULTFILL;
87 | });
88 |
89 | this.lines.map((line, k) => { line.stroke((!nodes[np[k]])? DEFAULTSTROKE : stroke[k]); });
90 | this.rects.map((rect, k) => { rect.fill(fill[k]).stroke(stroke[k]); });
91 | }
92 | }
93 |
94 | module.exports = Renderer;
95 |
--------------------------------------------------------------------------------
/src/state-tester.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const iota = require('./iota');
4 | const DH = require('./dh');
5 | const base64 = require('./base64');
6 |
7 | async function nodeEqual(lhs, rhs) {
8 | let lfp = await DH.fingerprint(lhs.public);
9 | let rfp = await DH.fingerprint(rhs.public);
10 | return (lfp == rfp);
11 | }
12 |
13 | /*
14 | * Compares to group structs for equality. Each one must have
15 | * `size` and `nodes` attributes. Structs are equal if they have
16 | * the same size and agree on overlapping nodes.
17 | */
18 | async function groupEqual(lhs, rhs) {
19 | let answer = (lhs.size == rhs.size);
20 |
21 | for (let n in lhs.nodes) {
22 | let lhn = lhs.nodes[n];
23 | let rhn = rhs.nodes[n];
24 | if (!lhn || !rhn) {
25 | continue;
26 | }
27 |
28 | let eq = await nodeEqual(lhn, rhn);
29 | answer = answer && eq;
30 | }
31 |
32 | return answer;
33 | }
34 |
35 | /*
36 | * Dumps a human-readable representation of a group struct.
37 | */
38 | async function groupDump(label, group) {
39 | console.log("=====", label, "=====");
40 | console.log("size:", group.size);
41 | console.log("index:", group.index);
42 | console.log("nodes:");
43 | for (let n in group.nodes) {
44 | if (!group.nodes[n]) {
45 | continue;
46 | }
47 |
48 | console.log(" ", n, ":", await DH.fingerprint(group.nodes[n].public));
49 | }
50 | }
51 |
52 |
53 | async function testUserAdd(State) {
54 | const testGroupSize = 5;
55 |
56 | let creator = await State.oneMemberGroup(base64.random(32));
57 | let members = [creator];
58 |
59 | for (let i = 1; i < testGroupSize; ++i) {
60 | let leaf = base64.random(32);
61 | let gik = members[members.length - 1].groupInitKey;
62 | let uaIn = await State.join(leaf, gik);
63 |
64 | let uaEnc = JSON.stringify(uaIn);
65 | let ua = JSON.parse(uaEnc);
66 |
67 | let joiner = await State.fromUserAdd(leaf, ua, gik);
68 |
69 | for (let m of members) {
70 | await m.handleUserAdd(ua);
71 |
72 | let eq = await groupEqual(joiner, m);
73 | if (!eq) {
74 | await groupDump(joiner.index, joiner);
75 | await groupDump(m.index, m);
76 | throw 'state-user-add';
77 | }
78 | }
79 |
80 | members.push(joiner);
81 | }
82 |
83 | console.log("[state-user-add] PASS");
84 | }
85 |
86 | async function testGroupAdd(State) {
87 | const testGroupSize = 5;
88 |
89 | let creator = await State.oneMemberGroup(base64.random(32));
90 | let members = [creator];
91 |
92 | for (let i = 1; i < testGroupSize; ++i) {
93 | let initLeaf = base64.random(32);
94 | let initKP = await iota(initLeaf)
95 | let gaIn = await members[members.length - 1].add(initKP.publicKey)
96 |
97 | let gaEnc = JSON.stringify(gaIn);
98 | let ga = JSON.parse(gaEnc);
99 |
100 | let joiner = await State.fromGroupAdd(initLeaf, ga);
101 |
102 | for (let m of members) {
103 | await m.handleGroupAdd(ga);
104 |
105 | let eq = await groupEqual(joiner, m);
106 | if (!eq) {
107 | await groupDump(joiner.index, joiner);
108 | await groupDump(m.index, m);
109 | throw 'state-group-add';
110 | }
111 | }
112 |
113 | members.push(joiner);
114 | }
115 |
116 | console.log("[state-group-add] PASS");
117 | }
118 |
119 | async function testUpdate(State, transcode) {
120 | let label = (transcode)? 'state-json' : 'state-update';
121 |
122 | // Create a group via GroupAdds
123 | const testGroupSize = 5;
124 | let creator = await State.oneMemberGroup(base64.random(32));
125 | let members = [creator];
126 | for (let i = 1; i < testGroupSize; ++i) {
127 | let initLeaf = base64.random(32);
128 | let initKP = await iota(initLeaf);
129 | let ga = await members[members.length - 1].add(initKP.publicKey)
130 |
131 | for (let m of members) {
132 | await m.handleGroupAdd(ga);
133 | }
134 |
135 | let joiner = await State.fromGroupAdd(initLeaf, ga);
136 | members.push(joiner);
137 | }
138 |
139 | if (transcode) {
140 | let encoded = members.map(m => JSON.stringify(m));
141 | let decoded = encoded.map(e => JSON.parse(e));
142 | let revived = decoded.map(d => State.fromJSON(d));
143 |
144 | let eqp = members.map(async (m, i) => groupEqual(m, revived[i]));
145 | let eqr = await Promise.all(eqp);
146 | let eq = eqr.reduce((x, y) => x && y);
147 | if (!eq) {
148 | throw label;
149 | }
150 | }
151 |
152 | // Have each member update and verify that others are consistent
153 | for (let m1 of members) {
154 | let leaf = base64.random(32);
155 | let updateIn = await m1.update(leaf);
156 |
157 | let updateEnc = JSON.stringify(updateIn);
158 | let update = JSON.parse(updateEnc);
159 |
160 | await m1.handleSelfUpdate(update, leaf);
161 |
162 | for (let m2 of members) {
163 | if (m2.index == m1.index) {
164 | continue
165 | }
166 |
167 | await m2.handleUpdate(update);
168 |
169 | let eq = await groupEqual(m1, m2);
170 | if (!eq) {
171 | await groupDump(m1.index, m1);
172 | await groupDump(m2.index, m2);
173 | throw label;
174 | }
175 | }
176 | }
177 |
178 | console.log(`[${label}] PASS`);
179 | }
180 |
181 | async function testRemove(State) {
182 | // Create a group via GroupAdds
183 | const testGroupSize = 5;
184 | let creator = await State.oneMemberGroup(base64.random(32));
185 | let members = [creator];
186 | for (let i = 1; i < testGroupSize; ++i) {
187 | let initLeaf = base64.random(32);
188 | let initKP = await iota(initLeaf);
189 | let ga = await members[members.length - 1].add(initKP.publicKey)
190 |
191 | for (let m of members) {
192 | await m.handleGroupAdd(ga);
193 | }
194 |
195 | let joiner = await State.fromGroupAdd(initLeaf, ga);
196 | members.push(joiner);
197 | }
198 |
199 | // Have the first member remove two members
200 | let remover = members[0];
201 | let removed = [2, 3];
202 | for (let index of removed) {
203 | let leaf = base64.random(32);
204 | let removeIn = await remover.remove(leaf, index);
205 | let removeEnc = JSON.stringify(removeIn);
206 | let remove = JSON.parse(removeEnc);
207 |
208 | members = members.filter(x => x.index != index);
209 |
210 | for (let m of members) {
211 | await m.handleRemove(remove);
212 | }
213 |
214 | for (let m of members) {
215 | let eq = await groupEqual(m, remover);
216 | if (!eq) {
217 | await groupDump(remover.index, remover);
218 | await groupDump(m.index, m);
219 | throw 'state-remove';
220 | }
221 | }
222 | }
223 |
224 | // Have each remaining member update and verify that others are consistent
225 | for (let m1 of members) {
226 | let leaf = base64.random(32);
227 | let updateIn = await m1.update(leaf);
228 | let updateEnc = JSON.stringify(updateIn);
229 | let update = JSON.parse(updateEnc);
230 |
231 | await m1.handleSelfUpdate(update, leaf);
232 |
233 | for (let m2 of members) {
234 | if (m2.index == m1.index) {
235 | continue
236 | }
237 |
238 | await m2.handleUpdate(update);
239 |
240 | let eq = await groupEqual(m1, m2);
241 | if (!eq) {
242 | await groupDump(m1.index, m1);
243 | await groupDump(m2.index, m2);
244 | throw 'state-remove';
245 | }
246 | }
247 | }
248 |
249 | console.log('[state-remove] PASS');
250 | }
251 |
252 | module.exports = {
253 | test: async function(State) {
254 | await testUserAdd(State);
255 | await testGroupAdd(State);
256 | await testUpdate(State, false);
257 | await testUpdate(State, true);
258 | await testRemove(State);
259 | },
260 | };
261 |
--------------------------------------------------------------------------------
/src/tree-math.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | function log2(x) {
4 | if (x == 0) {
5 | return 0;
6 | }
7 |
8 | return Math.floor(Math.log2(x));
9 | }
10 |
11 | function level(x) {
12 | if ((x & 0x01) == 0) {
13 | return 0;
14 | }
15 |
16 | let k = 0;
17 | while (((x >> k) & 0x01) == 1) {
18 | k += 1;
19 | }
20 | return k;
21 | }
22 |
23 | function nodeWidth(n) {
24 | return 2 * (n - 1) + 1;
25 | }
26 |
27 | function assert(test) {
28 | if (!test) {
29 | console.trace();
30 | throw "assertion failure";
31 | }
32 | }
33 |
34 | function assertInRange(x, n) {
35 | if (x > nodeWidth(n)) {
36 | throw `node index out of range (${x} > ${n})`;
37 | }
38 | }
39 |
40 | function root(n) {
41 | let w = nodeWidth(n);
42 | return (1 << log2(w)) - 1;
43 | }
44 |
45 | function left(x) {
46 | if (level(x) == 0) {
47 | return x;
48 | }
49 |
50 | return x ^ (0x01 << (level(x) - 1));
51 | }
52 |
53 | function right(x, n) {
54 | assertInRange(x, n);
55 |
56 | if (level(x) == 0) {
57 | return x;
58 | }
59 |
60 | let r = x ^ (0x03 << (level(x) - 1));
61 | while (r >= nodeWidth(n)) {
62 | r = left(r);
63 | }
64 | return r;
65 | }
66 |
67 | function parentStep(x) {
68 | const k = level(x);
69 | return (x | (1 << k)) & ~(1 << (k + 1));
70 | }
71 |
72 | function parent(x, n) {
73 | assertInRange(x, n);
74 |
75 | if (x == root(n)) {
76 | return x;
77 | }
78 |
79 | let p = parentStep(x);
80 | while (p >= nodeWidth(n)) {
81 | p = parentStep(p);
82 | }
83 | return p;
84 | }
85 |
86 | function sibling(x, n) {
87 | assertInRange(x, n);
88 |
89 | const p = parent(x, n);
90 | if (x < p) {
91 | return right(p, n);
92 | } else if (x > p) {
93 | return left(p);
94 | }
95 |
96 | // root's sibling is itself
97 | return p;
98 | }
99 |
100 | // Ordered from leaf to root
101 | // Includes leaf, but not root
102 | function dirpath(x, n) {
103 | assertInRange(x, n);
104 |
105 | if (x == root(n)) {
106 | return [];
107 | }
108 |
109 | let d = [x];
110 | let p = parent(x, n);
111 | let r = root(n);
112 | while (p != r) {
113 | d.push(p);
114 | p = parent(p, n);
115 | }
116 | return d;
117 | }
118 |
119 | // Ordered from leaf to root
120 | function copath(x, n) {
121 | return dirpath(x, n).map(x => sibling(x, n));
122 | }
123 |
124 | // Ordered from left to right
125 | function frontier(n) {
126 | assert(n > 0);
127 |
128 | let last = 2*(n-1);
129 | let f = copath(last, n).reverse();
130 |
131 | if (f[f.length - 1] != last) {
132 | f.push(last);
133 | }
134 |
135 | while (f.length > 1) {
136 | let r = f[f.length - 1];
137 | let p = parent(r, n);
138 | if (p != parentStep(r)) {
139 | break;
140 | }
141 |
142 | // Replace the last two nodes with their parent
143 | f = f.slice(0, -2).concat(p);
144 | }
145 |
146 | return f;
147 | }
148 |
149 | function shadow(x, n) {
150 | let h = level(x);
151 | let L = x;
152 | let R = x;
153 | while (h > 0) {
154 | L = left(L);
155 | R = right(R, n);
156 | h -= 1;
157 | }
158 |
159 | return [...Array(R - L + 1).keys()].map(x => x + L);
160 | }
161 |
162 | function leaves(n) {
163 | return [...Array(n).keys()].map(x => 2*x);
164 | }
165 |
166 | /////
167 |
168 | // Precomputed answers for the tree on eleven elements:
169 | //
170 | // X
171 | // X
172 | // X X X
173 | // X X X X X
174 | // X X X X X X X X X X X
175 | // 00 01 02 03 04 05 06 07 08 09 0a 0b 0c 0d 0e 0f 10 11 12 13 14
176 |
177 | function arrayEqual(a, b) {
178 | return (a.length == b.length && a.filter((x, i) => (b[i] != x)).length == 0);
179 | }
180 |
181 | function testRoot() {
182 | const n = 0x0b;
183 | const index = [...Array(n).keys()];
184 | const aRoot = [ 0x00, 0x01, 0x03, 0x03, 0x07, 0x07,
185 | 0x07, 0x07, 0x0f, 0x0f, 0x0f ];
186 |
187 | let q = [...Array(n).keys()].map(x => root(x+1));
188 | if (!arrayEqual(q, aRoot)) {
189 | console.log("root", q, aRoot);
190 | throw "root";
191 | }
192 |
193 | console.log("[tree-root] PASS");
194 | }
195 |
196 | function testRelations() {
197 | const n = 0x0b;
198 |
199 | const index = [...Array(nodeWidth(n)).keys()];
200 |
201 | const aLeft = [ 0x00, 0x00, 0x02, 0x01, 0x04, 0x04, 0x06,
202 | 0x03, 0x08, 0x08, 0x0a, 0x09, 0x0c, 0x0c,
203 | 0x0e, 0x07, 0x10, 0x10, 0x12, 0x11, 0x14 ];
204 |
205 | const aRight = [ 0x00, 0x02, 0x02, 0x05, 0x04, 0x06, 0x06,
206 | 0x0b, 0x08, 0x0a, 0x0a, 0x0d, 0x0c, 0x0e,
207 | 0x0e, 0x13, 0x10, 0x12, 0x12, 0x14, 0x14 ];
208 |
209 | const aParent = [ 0x01, 0x03, 0x01, 0x07, 0x05, 0x03, 0x05,
210 | 0x0f, 0x09, 0x0b, 0x09, 0x07, 0x0d, 0x0b,
211 | 0x0d, 0x0f, 0x11, 0x13, 0x11, 0x0f, 0x13 ];
212 |
213 | const aSibling = [ 0x02, 0x05, 0x00, 0x0b, 0x06, 0x01, 0x04,
214 | 0x13, 0x0a, 0x0d, 0x08, 0x03, 0x0e, 0x09,
215 | 0x0c, 0x0f, 0x12, 0x14, 0x10, 0x07, 0x11 ];
216 |
217 | const cases = [
218 | { l: "left", f: left, a: aLeft },
219 | { l: "right", f: x => right(x, n), a: aRight },
220 | { l: "parent", f: x => parent(x, n), a: aParent },
221 | { l: "sibling", f: x => sibling(x, n), a: aSibling },
222 | ];
223 |
224 | for (let c of cases) {
225 | let q = index.map(c.f);
226 | if (!arrayEqual(q, c.a)) {
227 | console.log(c.l, q, c.a);
228 | throw c.l;
229 | }
230 | }
231 | console.log("[tree-relations] PASS");
232 | }
233 |
234 | function testFrontier() {
235 | const n = 0x0b;
236 |
237 | const aFrontier = [
238 | [0x00],
239 | [0x01],
240 | [0x01, 0x04],
241 | [0x03],
242 | [0x03, 0x08],
243 | [0x03, 0x09],
244 | [0x03, 0x09, 0x0c],
245 | [0x07],
246 | [0x07, 0x10],
247 | [0x07, 0x11],
248 | [0x07, 0x11, 0x14],
249 | ];
250 |
251 | for (let x = 1; x <= n; x += 1) {
252 | let f = frontier(x);
253 | if (!arrayEqual(f, aFrontier[x-1])) {
254 | console.log('frontier', f, aFrontier[x-1]);
255 | throw 'frontier';
256 | }
257 | }
258 |
259 | console.log("[tree-frontier] PASS");
260 | }
261 |
262 | function testPaths() {
263 | const n = 0x0b;
264 |
265 | const aDirpath = [
266 | [0, 1, 3, 7],
267 | [1, 3, 7],
268 | [2, 1, 3, 7],
269 | [3, 7],
270 | [4, 5, 3, 7],
271 | [5, 3, 7],
272 | [6, 5, 3, 7],
273 | [7],
274 | [8, 9, 11, 7],
275 | [9, 11, 7],
276 | [10, 9, 11, 7],
277 | [11, 7],
278 | [12, 13, 11, 7],
279 | [13, 11, 7],
280 | [14, 13, 11, 7],
281 | [],
282 | [16, 17, 19],
283 | [17, 19],
284 | [18, 17, 19],
285 | [19],
286 | [20, 19]
287 | ];
288 |
289 | const aCopath = [
290 | [2, 5, 11, 19],
291 | [5, 11, 19],
292 | [0, 5, 11, 19],
293 | [11, 19],
294 | [6, 1, 11, 19],
295 | [1, 11, 19],
296 | [4, 1, 11, 19],
297 | [19],
298 | [10, 13, 3, 19],
299 | [13, 3, 19],
300 | [8, 13, 3, 19],
301 | [3, 19],
302 | [14, 9, 3, 19],
303 | [9, 3, 19],
304 | [12, 9, 3, 19],
305 | [],
306 | [18, 20, 7],
307 | [20, 7],
308 | [16, 20, 7],
309 | [7],
310 | [17, 7]
311 | ];
312 |
313 | const aShadow = [
314 | [0],
315 | [0, 1, 2],
316 | [2],
317 | [0, 1, 2, 3, 4, 5, 6],
318 | [4],
319 | [4, 5, 6],
320 | [6],
321 | [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14],
322 | [8],
323 | [8, 9, 10],
324 | [10],
325 | [8, 9, 10, 11, 12, 13, 14],
326 | [12],
327 | [12, 13, 14],
328 | [14],
329 | [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20],
330 | [16],
331 | [16, 17, 18],
332 | [18],
333 | [16, 17, 18, 19, 20],
334 | [20],
335 | ];
336 |
337 | for (let x = 0; x < nodeWidth(n); x += 1) {
338 | let d = dirpath(x, n);
339 | if (!arrayEqual(d, aDirpath[x])) {
340 | console.log('dirpath', d, aDirpath[x]);
341 | throw 'dirpath';
342 | }
343 |
344 | let c = copath(x, n);
345 | if (!arrayEqual(c, aCopath[x])) {
346 | console.log('copath', c, aCopath[x]);
347 | throw 'copath';
348 | }
349 |
350 | let s = shadow(x, n);
351 | if (!arrayEqual(s, aShadow[x])) {
352 | console.log('shadow', s, aShadow[x]);
353 | throw 'shadow';
354 | }
355 | }
356 |
357 | console.log("[tree-paths] PASS");
358 | }
359 |
360 | function test() {
361 | testRoot();
362 | testRelations();
363 | testFrontier();
364 | testPaths();
365 | }
366 |
367 | // XXX(rlb@ipv.sx): This list can probably be pared down further.
368 | // Not everything needs to be exposed.
369 | module.exports = {
370 | // Basic tree properties
371 | level: level,
372 | nodeWidth: nodeWidth,
373 | root: root,
374 |
375 | // Node relations
376 | left: left,
377 | right: right,
378 | parent: parent,
379 | sibling: sibling,
380 |
381 | // Paths
382 | frontier: frontier,
383 | dirpath: dirpath,
384 | copath: copath,
385 | shadow: shadow,
386 | leaves: leaves,
387 |
388 | test: test,
389 | }
390 |
--------------------------------------------------------------------------------
/src/tree.js:
--------------------------------------------------------------------------------
1 | 'use strict'
2 |
3 | const tm = require('./tree-math');
4 |
5 | /*
6 | * This class represents a tree of public keys, e.g., one obtained
7 | * by scraping keys out of handshake messages.
8 | */
9 | class Tree {
10 | constructor(size) {
11 | this.size = size;
12 | this.nodes = {};
13 | }
14 |
15 | merge(nodes) {
16 | Object.assign(this.nodes, nodes);
17 | }
18 |
19 | remove(index) {
20 | tm.dirpath(2 * index, this.size).map(n => {
21 | delete this.nodes[n];
22 | });
23 | }
24 |
25 | gatherSubtree(node) {
26 | let out = {};
27 |
28 | if (this.nodes[node]) {
29 | out[node] = this.nodes[node];
30 | return out;
31 | }
32 |
33 | let left = tm.left(node);
34 | if (left != node) {
35 | Object.assign(out, this.gatherSubtree(left));
36 | }
37 |
38 | let right = tm.right(node, this.size);
39 | if (right != node) {
40 | Object.assign(out, this.gatherSubtree(right));
41 | }
42 |
43 | return out;
44 | }
45 |
46 | copath(index) {
47 | return tm.copath(2 * index, this.size)
48 | .map(n => this.gatherSubtree(n))
49 | .reduce((a, b) => Object.assign(a, b), {});
50 | }
51 | };
52 |
53 | module.exports = Tree;
54 |
--------------------------------------------------------------------------------
/src/treekem-state.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const TreeKEM = require('./treekem').class;
4 |
5 | class TreeKEMState {
6 | constructor() {
7 | this.tkem = new TreeKEM();
8 | }
9 |
10 | get index() {
11 | return this.tkem.index;
12 | }
13 |
14 | get size() {
15 | return this.tkem.size;
16 | }
17 |
18 | trim(size) {
19 | this.tkem.trim(size);
20 | }
21 |
22 | get nodes() {
23 | return this.tkem.nodes;
24 | }
25 |
26 | get copath() {
27 | return this.tkem.copath(this.tkem.index);
28 | }
29 |
30 | async equal(other) {
31 | return this.tkem.equal(other.tkem);
32 | }
33 |
34 | async dump() {
35 | return this.tkem.dump();
36 | }
37 |
38 | static fromJSON(obj) {
39 | let out = new TreeKEMState();
40 | out.tkem = TreeKEM.fromJSON(obj.tkem);
41 | return out;
42 | }
43 |
44 | static async oneMemberGroup(leaf) {
45 | let state = new TreeKEMState();
46 | state.tkem = await TreeKEM.oneMemberGroup(leaf);
47 | return state;
48 | }
49 |
50 | static async fromGroupAdd(initLeaf, groupAdd) {
51 | let kp = await iota(initLeaf);
52 | let leaf = await ECKEM.decrypt(groupAdd.forJoiner.encryptedLeaf, kp.privateKey);
53 | let state = new TreeKEMState();
54 | state.tkem = await TreeKEM.fromFrontier(groupAdd.forJoiner.size, groupAdd.forJoiner.frontier, leaf);
55 | return state;
56 | }
57 |
58 | static async fromUserAdd(leaf, /* IGNORED */ userAdd, groupInitKey) {
59 | let state = new TreeKEMState();
60 | state.tkem = await TreeKEM.fromFrontier(groupInitKey.size, groupInitKey.frontier, leaf);
61 | return state;
62 | }
63 |
64 | static async join(leaf, groupInitKey) {
65 | let tkem = await TreeKEM.fromFrontier(groupInitKey.size, groupInitKey.frontier, leaf);
66 | let ct = await tkem.encrypt(leaf, tkem.index)
67 | return {
68 | ciphertexts: ct.ciphertexts,
69 | nodes: ct.nodes,
70 | };
71 | }
72 |
73 | async add(userInitPub) {
74 | let leaf = base64.random(32);
75 | let encryptedLeaf = await ECKEM.encrypt(leaf, userInitPub);
76 |
77 | let gik = this.groupInitKey;
78 | let ua = await TreeKEMState.join(leaf, gik);
79 |
80 | return {
81 | forGroup: ua,
82 | forJoiner: {
83 | size: gik.size,
84 | frontier: gik.frontier,
85 | encryptedLeaf: encryptedLeaf,
86 | },
87 | };
88 | }
89 |
90 | async update(leaf) {
91 | let ct = await this.tkem.encrypt(leaf, this.tkem.index);
92 | return {
93 | from: this.tkem.index,
94 | ciphertexts: ct.ciphertexts,
95 | nodes: ct.nodes,
96 | }
97 | }
98 |
99 | async remove(leaf, index, copath) {
100 | this.tkem.merge(copath, true);
101 | let ct = await this.tkem.encrypt(leaf, index);
102 | return {
103 | index: index,
104 | ciphertexts: ct.ciphertexts,
105 | copath: this.tkem.copath(index),
106 | };
107 | }
108 |
109 | async move(leaf, index, copath) {
110 | this.tkem.merge(copath, true);
111 | let ct = await this.tkem.encrypt(leaf, index);
112 | return {
113 | from: this.index,
114 | to: index,
115 | ciphertexts: ct.ciphertexts,
116 | nodes: ct.nodes,
117 | copath: this.tkem.copath(this.tkem.index),
118 | };
119 | }
120 |
121 | get groupInitKey() {
122 | return {
123 | size: this.tkem.size,
124 | frontier: this.tkem.frontier(),
125 | };
126 | }
127 |
128 | async handleUserAdd(ua) {
129 | let pt = await this.tkem.decrypt(this.tkem.size, ua.ciphertexts);
130 | this.tkem.merge(ua.nodes);
131 | this.tkem.merge(pt.nodes);
132 | this.tkem.size += 1;
133 | }
134 |
135 | async handleGroupAdd(ga) {
136 | let pt = await this.tkem.decrypt(this.tkem.size, ga.forGroup.ciphertexts);
137 | this.tkem.merge(ga.forGroup.nodes);
138 | this.tkem.merge(pt.nodes);
139 | this.tkem.size += 1;
140 | }
141 |
142 | async handleSelfUpdate(/* IGNORED */ update, leaf) {
143 | let privateNodes = await TreeKEM.hashUp(2*this.tkem.index, this.tkem.size, leaf);
144 | this.tkem.merge(privateNodes);
145 | }
146 |
147 | async handleUpdate(update) {
148 | let pt = await this.tkem.decrypt(update.from, update.ciphertexts);
149 | this.tkem.merge(update.nodes);
150 | this.tkem.merge(pt.nodes);
151 | }
152 |
153 | async handleRemove(remove) {
154 | let pt = await this.tkem.decrypt(remove.index, remove.ciphertexts);
155 | this.tkem.remove(remove.index);
156 | this.tkem.merge(pt.root);
157 | this.tkem.merge(remove.copath, true);
158 | }
159 |
160 | async handleSelfMove(move, leaf) {
161 | let privateNodes = await TreeKEM.hashUp(2 * move.to, this.tkem.size, leaf);
162 | this.tkem.remove(move.from);
163 | this.tkem.merge(privateNodes);
164 | this.tkem.merge(move.copath, true);
165 | this.tkem.index = move.to;
166 | }
167 |
168 | async handleMove(move) {
169 | let pt = await this.tkem.decrypt(move.to, move.ciphertexts);
170 | this.tkem.remove(move.from);
171 | this.tkem.merge(move.nodes);
172 | this.tkem.merge(move.copath, true);
173 | this.tkem.merge(pt.nodes);
174 | }
175 | }
176 |
177 | module.exports = TreeKEMState;
178 |
--------------------------------------------------------------------------------
/src/treekem.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const ECKEM = require('./eckem');
4 | const iota = require('./iota');
5 | const tm = require('./tree-math');
6 | const util = require('./util');
7 | const dh = require('./dh');
8 | const cs = window.crypto.subtle;
9 |
10 | // #ifdef COLORIZE
11 | const FADESTART = 30;
12 | const FADESTOP = 70;
13 | // #endif /* def COLORIZE */
14 |
15 | function hex(ab) {
16 | const arr = Array.from(new Uint8Array(ab));
17 | return arr.map(x => ('0' + x.toString(16)).slice(-2)).join('');
18 | }
19 |
20 | function xor(a, b) {
21 | const ua = new Uint8Array(a);
22 | const ub = new Uint8Array(b);
23 | return (new Uint8Array(ua.map((x, i) => x ^ ub[i]))).buffer;
24 | }
25 |
26 | async function hash(x64) {
27 | const x = base64.parse(x64);
28 | const d = await cs.digest("SHA-256", x);
29 | return base64.stringify(d);
30 | }
31 |
32 | class TreeKEM {
33 | /*
34 | * TreeKEM objects should not be constructed directly. Instead, use
35 | * the `TreeKEM.fromX` factory methods. This only exists to give
36 | * certain variables public exposure for debugging, and as a base
37 | * for the factory methods. It would be private in C++.
38 | */
39 | constructor() {
40 | this.size = 0;
41 | this.index = 0;
42 | this.nodes = [];
43 | }
44 |
45 | static fromJSON(obj) {
46 | let out = new TreeKEM();
47 | out.size = obj.size;
48 | out.index = obj.index;
49 | out.nodes = obj.nodes;
50 | return out;
51 | }
52 |
53 | /*
54 | * Construct a TreeKEM representing a group with a single member,
55 | * with the given leaf secret.
56 | */
57 | static async oneMemberGroup(leaf) {
58 | let tkem = new TreeKEM();
59 | tkem.size = 1;
60 | tkem.index = 0;
61 | tkem.merge(await TreeKEM.hashUp(0, 1, leaf));
62 | return tkem;
63 | }
64 |
65 | /*
66 | * Construct a tree that extends a tree with the given size and
67 | * frontier by adding a member with the given leaf secret.
68 | */
69 | static async fromFrontier(size, frontier, leaf) {
70 | let tkem = new TreeKEM();
71 | tkem.size = size + 1;
72 | tkem.index = size;
73 | tkem.merge(frontier);
74 |
75 | let nodes = await TreeKEM.hashUp(2 * tkem.index, tkem.size, leaf);
76 | tkem.merge(nodes);
77 | return tkem;
78 | }
79 |
80 | /*
81 | * Map a function over the populated subtree heads beneath an
82 | * intermediate node. Results are collated in an object whose
83 | * keys are the indices of the relevant tree nodes.
84 | *
85 | * Inputs:
86 | * * node - Head of the subtree
87 | * * func - func(nodeID) -> T
88 | *
89 | * Returns:
90 | * * {Node: T}
91 | */
92 | mapSubtree(node, func) {
93 | let out = {};
94 |
95 | if (this.nodes[node]) {
96 | out[node] = func(node);
97 | return out;
98 | }
99 |
100 | let left = tm.left(node);
101 | if (left != node) {
102 | Object.assign(out, this.mapSubtree(left, func));
103 | }
104 |
105 | let right = tm.right(node, this.size);
106 | if (right != node) {
107 | Object.assign(out, this.mapSubtree(right, func));
108 | }
109 |
110 | return out;
111 | }
112 |
113 | /*
114 | * Encrypt a value so that it can be decrypted by all nodes in the
115 | * subtree with the indicated head, even if some leaves are
116 | * excluded.
117 | */
118 | async encryptToSubtree(head, value) {
119 | let encryptions = this.mapSubtree(head, async node => {
120 | return await ECKEM.encrypt(value, this.nodes[node].public);
121 | });
122 |
123 | for (let n in encryptions) {
124 | encryptions[n] = await encryptions[n];
125 | }
126 | return encryptions;
127 | }
128 |
129 | /*
130 | * Gather the heads of the populated subtrees below the specified
131 | * subtree head
132 | */
133 | gatherSubtree(head) {
134 | return this.mapSubtree(head, node => util.publicNode(this.nodes[node]));
135 | }
136 |
137 | /*
138 | * Encrypt a fresh root value in a way that all participants in
139 | * the group can decrypt, except for an excluded node.
140 | *
141 | * Arguments:
142 | * * leaf - BufferSource with leaf secret
143 | * * except - index of the node to exclude
144 | *
145 | * Returns: Promise resolving to a TreeKEMCiphertext object:
146 | * {
147 | * // Index of the sender in the tree
148 | * index: Int
149 | *
150 | * // Public nodes along the direct path
151 | * nodes: { Int: Node }
152 | *
153 | * // Private nodes along the direct path
154 | * privateNodes: { Int: Node }
155 | *
156 | * // Ciphertexts along the copath
157 | * ciphertexts: [ ECKEMCiphertext ]
158 | * }
159 | */
160 | async encrypt(leaf, except) {
161 | let dirpath = tm.dirpath(2 * except, this.size);
162 | let copath = tm.copath(2 * except, this.size);
163 |
164 | // Generate hashes up the tree
165 | let privateNodes = await TreeKEM.hashUp(2 * except, this.size, leaf);
166 | let nodes = {};
167 | for (let n in privateNodes) {
168 | nodes[n] = util.publicNode(privateNodes[n]);
169 | }
170 |
171 | // KEM each hash to the corresponding copath node
172 | let ciphertexts = await Promise.all(copath.map(async (c, i) => {
173 | let p = tm.parent(c, this.size);
174 | let s = privateNodes[p].secret;
175 | return this.encryptToSubtree(c, s);
176 | }));
177 |
178 | return {
179 | nodes: nodes,
180 | ciphertexts: ciphertexts,
181 | };
182 | }
183 |
184 | /*
185 | * Decrypts and returns fresh root value.
186 | *
187 | * Arguments:
188 | * * index - Index of sending node in the tree
189 | * * ciphertexts - List of ECKEMCiphertexts along copath
190 | *
191 | * Returns: Promise resolving to an object:
192 | * {
193 | * // The root hash for the tree
194 | * root: ArrayBuffer
195 | *
196 | * // Public nodes resulting from hashes on the direct path
197 | * nodes: { Int: Node }
198 | * }
199 | */
200 | async decrypt(index, ciphertexts) {
201 | // These are the nodes that the sender encrypted to
202 | let senderSize = (index == this.size)? this.size + 1 : this.size;
203 | let copath = tm.copath(2 * index, senderSize);
204 |
205 | // These are the nodes that we should have private keys for
206 | let dirpath = tm.dirpath(2 * this.index, this.size);
207 | dirpath.push(tm.root(this.size));
208 |
209 | // Decrypt at the point where the dirpath and copath overlap
210 | let overlap = dirpath.filter(x => copath.includes(x))[0];
211 | let coIndex = copath.indexOf(overlap);
212 | let dirIndex = dirpath.indexOf(overlap);
213 | let encryptions = ciphertexts[coIndex];
214 |
215 | // Extract an encrypted value that we can decrypt, and decrypt it
216 | let decNode = Object.keys(encryptions)
217 | .map(x => parseInt(x))
218 | .filter(x => dirpath.includes(x))[0];
219 |
220 | let h = await ECKEM.decrypt(encryptions[decNode], this.nodes[decNode].private);
221 |
222 | // Hash up to the root (plus one if we're growing the tree)
223 | let rootNode = tm.root(senderSize);
224 | let newDirpath = tm.dirpath(2 * this.index, senderSize);
225 | newDirpath.push(rootNode);
226 | let nodes = await TreeKEM.hashUp(newDirpath[dirIndex+1], senderSize, h);
227 |
228 | let root = {}
229 | root[rootNode] = nodes[rootNode];
230 |
231 | return {
232 | root: root,
233 | nodes: nodes,
234 | }
235 | }
236 |
237 | /*
238 | * Removes unnecessary nodes from the tree when the size of the
239 | * group shrinks.
240 | */
241 | trim(size) {
242 | if (size > this.size) {
243 | throw "Cannot trim upwards";
244 | }
245 |
246 | let width = tm.nodeWidth(size);
247 | this.nodes = this.nodes.slice(0, width);
248 | this.size = size;
249 | }
250 |
251 | /*
252 | * Remove a node from the tree, including its direct path
253 | *
254 | * Arguments:
255 | * index - Index of the node to remove
256 | *
257 | * Returns: None
258 | */
259 | remove(index) {
260 | for (let n of tm.dirpath(2 * index, this.size)) {
261 | delete this.nodes[n];
262 | }
263 | }
264 |
265 | /*
266 | * Updates nodes in the tree.
267 | *
268 | * Arguments:
269 | * nodes - Dictionary of nodes to update: { Int: Node }
270 | * preserve - Whether existing nodes should be left alone
271 | *
272 | * Returns: None
273 | */
274 | merge(nodes, preserve) {
275 | for (let n in nodes) {
276 | if (this.nodes[n] && preserve) {
277 | continue;
278 | }
279 |
280 | this.nodes[n] = nodes[n];
281 | }
282 | }
283 |
284 | /*
285 | * Returns the nodes on the frontier of the tree { Int: Node },
286 | * including subtree heads if the tree is incomplete.
287 | */
288 | frontier() {
289 | return tm.frontier(this.size)
290 | .map(n => this.gatherSubtree(n))
291 | .reduce((a, b) => Object.assign(a, b), {});
292 | }
293 |
294 | /*
295 | * Returns the nodes on the copath for this node { Int: Node },
296 | * including subtree heads if the tree is incomplete.
297 | */
298 | copath(index) {
299 | return tm.copath(2 * index, this.size)
300 | .map(n => this.gatherSubtree(n))
301 | .reduce((a, b) => Object.assign(a, b), {});
302 | }
303 |
304 | /*
305 | * Two instances are equal if they agree on the nodes where they
306 | * overlap.
307 | */
308 | async equal(other) {
309 | if (this.size != other.size) {
310 | return false;
311 | }
312 |
313 | for (let i in this.nodes) {
314 | if (!other.nodes[i]) {
315 | continue;
316 | }
317 |
318 | let fp1 = await dh.fingerprint(this.nodes[i].public);
319 | let fp2 = await dh.fingerprint(other.nodes[i].public);
320 | if (fp1 !== fp2) {
321 | return false;
322 | }
323 | }
324 |
325 | return true;
326 | }
327 |
328 | static async hashUp(index, size, h) {
329 | // Compute hashes up the tree
330 | let nodes = {};
331 | let n = index;
332 | let root = tm.root(size);
333 | let path = [n];
334 | while (true) {
335 | let kp = await iota(h);
336 | nodes[n] = {
337 | secret: h,
338 | public: kp.publicKey,
339 | private: kp.privateKey,
340 | };
341 |
342 | if (n == root) {
343 | break;
344 | }
345 |
346 | n = tm.parent(n, size);
347 | path.push(n);
348 | h = await hash(h);
349 | }
350 |
351 | // #ifdef COLORIZE
352 | let height = tm.level(root) || 1;
353 | let secret = base64.parse(nodes[root].secret);
354 | let hue = Array.from(new Uint8Array(secret)).reduce((x, y) => x ^ y);
355 | let dl = Math.round((FADESTOP - FADESTART) / height);
356 | for (let i = 0; i < path.length; ++i) {
357 | let l = FADESTART + i * dl;
358 | nodes[path[path.length - i - 1]].color = [hue, 100, l];
359 | }
360 | // #endif /* def COLORIZE */
361 |
362 | return nodes;
363 | }
364 |
365 | async dump(label) {
366 | console.log("===== treekem dump (", label,") =====");
367 | console.log("size:", this.size);
368 | console.log("nodes:", this.nodes);
369 | for (let i in this.nodes) {
370 | console.log(" ", i, ":", await dh.fingerprint(this.nodes[i].public));
371 | }
372 | }
373 | }
374 |
375 | function arrayBufferEqual(a, b) {
376 | let ua = Array.from(new Uint8Array(a));
377 | let ub = Array.from(new Uint8Array(b));
378 | return ua.filter((x, i) => (ub[i] != x)).length == 0;
379 | }
380 |
381 | async function testMembers(size) {
382 | let nodeWidth = tm.nodeWidth(size);
383 | let keyPairs = await Promise.all([...Array(nodeWidth).keys()].map(i => iota(new Uint8Array([i]))));
384 |
385 | let nodes = {}
386 | keyPairs.map((kp, i) => {
387 | nodes[i] = {
388 | private: kp.privateKey,
389 | public: kp.publicKey
390 | };
391 | });
392 |
393 | // Provision members
394 | let members = [];
395 | const root = tm.root(size);
396 | for (let i = 0; i < size; ++i) {
397 | members[i] = new TreeKEM();
398 | members[i].size = size;
399 | members[i].index = i;
400 |
401 | // Public keys along its copath
402 | for (const n of tm.copath(2*i, size)) {
403 | members[i].nodes[n] = {
404 | public: nodes[n].public,
405 | };
406 | }
407 |
408 | // Private keys along its direct path
409 | let dirpath = tm.dirpath(2*i, size);
410 | dirpath.push(root);
411 | for (const n of dirpath) {
412 | members[i].nodes[n] = {
413 | private: nodes[n].private,
414 | public: nodes[n].public,
415 | };
416 | }
417 | }
418 |
419 | return members;
420 | }
421 |
422 | async function testEncryptDecrypt() {
423 | const testGroupSize = 5;
424 | const seed = new Uint8Array([0,1,2,3]);
425 |
426 | // Create a group with the specified size
427 | let members = await testMembers(testGroupSize);
428 |
429 | // Have each member send and be received by all members
430 | for (const m of members) {
431 | let ct = await m.encrypt(seed);
432 | let privateNodes = await TreeKEM.hashUp(2 * m.index, m.size, seed);
433 |
434 | m.merge(ct.nodes)
435 | m.merge(privateNodes);
436 |
437 | for (let m2 of members) {
438 | if (m2.index == m.index) {
439 | continue;
440 | }
441 |
442 | let pt = await m2.decrypt(m.index, ct.ciphertexts);
443 | if (!arrayBufferEqual(ct.root, pt.root)) {
444 | console.log("error:", m.index, "->", m2.index);
445 | console.log("send:", hex(ct.root));
446 | console.log("recv:", hex(pt.root));
447 | throw 'tkem-root';
448 | }
449 |
450 | // Merge public values, then private
451 | m2.merge(ct.nodes);
452 | m2.merge(pt.nodes);
453 |
454 | let eq = await m.equal(m2);
455 | if (!eq) {
456 | console.log("error:", m.index, "->", m2.index);
457 | throw 'tkem-eq';
458 | }
459 | }
460 | }
461 |
462 | console.log("[tkem-encrypt-decrypt] PASS");
463 | }
464 |
465 | async function testSimultaneousUpdate() {
466 | const testGroupSize = 5;
467 | let members = await testMembers(testGroupSize);
468 |
469 | // Have each member emit an update, then have everyone compute and
470 | // apply a merged update
471 | let seeds = members.map(m => new Uint8Array([m.index]));
472 | let cts = await Promise.all(members.map(m => {
473 | return m.encrypt(seeds[m.index]);
474 | }));
475 |
476 | let secrets = await Promise.all(members.map(async m => {
477 | let privateNodes = await TreeKEM.hashUp(2 * m.index, m.size, seeds[m.index]);
478 |
479 | const pts = (await Promise.all(cts.map((ct, i) => {
480 | return (i == m.index)? null : m.decrypt(i, ct.ciphertexts);
481 | })));
482 |
483 | // The secret for the merge will be the XOR of all the
484 | // individual root secrets
485 | const roots = pts.map((pt, i) => {
486 | return (i == m.index)? privateNodes[tm.root(m.size)] : pt.root;
487 | });
488 | let secret = roots.reduce(xor);
489 |
490 | // The key pair changes are applied in order of arrival
491 | for (let i = 0; i < pts.length; ++i) {
492 | if (i == m.index) {
493 | m.merge(privateNodes);
494 | continue;
495 | }
496 |
497 | m.merge(cts[i].nodes);
498 | m.merge(pts[i].nodes);
499 | }
500 | return secret;
501 | }));
502 |
503 | // Check that all of the derived secrets are the same
504 | secrets.reduce((a, b) => {
505 | if (!arrayBufferEqual(a, b)) {
506 | console.log("error:", hex(a), hex(b));
507 | throw 'tkem-simultaneous-secret';
508 | }
509 |
510 | return a;
511 | });
512 |
513 | // Check that all members arrived in the same state
514 | for (const m1 of members) {
515 | for (const m2 of members) {
516 | let eq = await m1.equal(m2);
517 | if (!eq) {
518 | console.log("error:", m1.index, "!=", m2.index);
519 | await m1.dump();
520 | await m2.dump();
521 | throw 'tkem-simultaneous-tree';
522 | }
523 | }
524 | }
525 |
526 | console.log("[tkem-simultaneous] PASS");
527 | }
528 |
529 | async function test() {
530 | await testEncryptDecrypt();
531 | await testSimultaneousUpdate();
532 | }
533 |
534 | module.exports = {
535 | class: TreeKEM,
536 | test: test,
537 | };
538 |
--------------------------------------------------------------------------------
/src/util.js:
--------------------------------------------------------------------------------
1 | 'use strict';
2 |
3 | const iota = require('./iota');
4 | const cs = window.crypto.subtle;
5 |
6 | // #ifdef COLORIZE
7 | async function keyColor(k) {
8 | let jwk = JSON.stringify(k);
9 | let jsonData = Array.prototype.map.call(jwk, c => c.charCodeAt(0));
10 | let hue = Array.from(new Uint8Array(jsonData)).reduce((x, y) => x ^ y);
11 | return [hue, 100, 50];
12 | }
13 |
14 | /*
15 | function modAverage(x, y, m) {
16 | if (y < x) {
17 | [x, y] = [y, x];
18 | }
19 |
20 | let aSide = (y - x)/2;
21 | let bSide = ((x + m) - y)/2;
22 | if (aSide < bSide) {
23 | return (x + aSide) % m;
24 | } else {
25 | return (y + bSide) % m;
26 | }
27 | }
28 |
29 | function colorAvg(c1, c2) {
30 | return [
31 | modAverage(c1[0], c2[0], 256),
32 | (c1[1] + c2[1]) / 2,
33 | (c1[2] + c2[2]) / 2,
34 | ];
35 | }
36 | */
37 |
38 | // RGB/HSL conversion adapted from StackOverflow
39 | // https://stackoverflow.com/questions/2353211/hsl-to-rgb-color-conversion
40 | function hue2rgb(p, q, t){
41 | if(t < 0) t += 1;
42 | if(t > 1) t -= 1;
43 | if(t < 1/6) return p + (q - p) * 6 * t;
44 | if(t < 1/2) return q;
45 | if(t < 2/3) return p + (q - p) * (2/3 - t) * 6;
46 | return p;
47 | }
48 |
49 | function hslToRgb(h, s, l){
50 | var r, g, b;
51 |
52 | if (s == 0) {
53 | r = g = b = l; // achromatic
54 | } else {
55 | var q = l < 0.5 ? l * (1 + s) : l + s - l * s;
56 | var p = 2 * l - q;
57 | r = hue2rgb(p, q, h + 1/3);
58 | g = hue2rgb(p, q, h);
59 | b = hue2rgb(p, q, h - 1/3);
60 | }
61 |
62 | return [r, g, b];
63 | }
64 |
65 | function rgbToHsl(r, g, b){
66 | let max = Math.max(r, g, b);
67 | let min = Math.min(r, g, b);
68 | let h, s, l = (max + min) / 2;
69 |
70 | if (max == min) {
71 | h = s = 0; // achromatic
72 | }else{
73 | var d = max - min;
74 | s = l > 0.5 ? d / (2 - max - min) : d / (max + min);
75 | switch(max){
76 | case r: h = (g - b) / d + (g < b ? 6 : 0); break;
77 | case g: h = (b - r) / d + 2; break;
78 | case b: h = (r - g) / d + 4; break;
79 | }
80 | h /= 6;
81 | }
82 |
83 | return [h, s, l];
84 | }
85 |
86 | function colorAvg(c1, c2) {
87 | let [h1, s1, l1] = [c1[0] / 255, c1[1] / 100, c1[2] / 100];
88 | let [h2, s2, l2] = [c2[0] / 255, c2[1] / 100, c2[2] / 100];
89 |
90 | let rgb1 = hslToRgb(h1, s1, l1);
91 | let rgb2 = hslToRgb(h2, s2, l2);
92 | let [ra, ga, ba] = rgb1.map((x, i) => (x + rgb2[i]) / 2);
93 |
94 | let [ha, sa, la] = rgbToHsl(ra, ga, ba);
95 | return [255 * ha, 100 * sa, 100 * la];
96 | }
97 | // #endif /* def COLORIZE */
98 |
99 | async function newNode(secret) {
100 | let kp = await iota(secret);
101 | let color = await keyColor(kp.publicKey);
102 | return {
103 | secret: secret,
104 | private: kp.privateKey,
105 | public: kp.publicKey,
106 | color: color,
107 | };
108 | }
109 |
110 | function publicNode(node) {
111 | return {
112 | public: node.public,
113 | color: node.color,
114 | }
115 | }
116 |
117 | function nodePath(nodes, path) {
118 | let out = {};
119 | for (let n of path) {
120 | out[n] = publicNode(nodes[n]);
121 | }
122 | return out;
123 | }
124 |
125 | module.exports = {
126 | keyColor: keyColor,
127 | colorAvg: colorAvg,
128 | newNode: newNode,
129 | publicNode: publicNode,
130 | nodePath: nodePath,
131 | }
132 |
133 |
--------------------------------------------------------------------------------
/web/jquery-3.3.1.min.js:
--------------------------------------------------------------------------------
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