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Save atoponce/03109c0a51aededbddaf40b4c0aa0d7d to your computer and use it in GitHub Desktop.
Improve the password generator security of https://www.draketo.de/english/secure-passwords
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/* | |
Improves the security of https://www.draketo.de/english/secure-passwords: | |
- Replace the letters with the original proposal at https://www.draketo.de/software/letterblock-diceware | |
- All bigrams are kept, rather than truncating | |
- Replace Math.random() with crypto.getRandomValues() | |
- Replace Math.floor(Math.random() * length) with uniform modulo rejection | |
- Replace a character count with a minimum security margin | |
- The HTML "Length" input should be replaced with "Security minimum" (or something similar, in bits) | |
- Implement the checksum per https://www.draketo.de/software/letterblock-diceware | |
- Use 6 characters instead of 4 (or 7) for a uniform checksum | |
For example, here are som passwords at different minimum security requirments with valid checksums: | |
- 50 bits: c4kL@uNfk%huUN (actual: 62 bits) | |
- 64 bits: Pkj0=bLdd.r0ec-WJ3r (actual: 82 bits) | |
- 90 bits: Nkho.eFj4-kWkL=tAkH%iJra (actual: 103 bits) | |
- 128 bits: Jc0u.NjbN.JvK6+RwJH%6aeE+P7if+vAa8 (actual: 144 bits) | |
Note that a single block such as "mf2626" will not have a checksum. 2+ blocks are required per the original post. | |
*/ | |
function secureRandom (max) { | |
// Uniform modulo rejection | |
const crypto = window.crypto || window.msCrypto // Support for IE 11 (~5% current browsers) | |
const min = (-max >>> 0) % max | |
const rand = new Uint32Array(1) | |
do crypto.getRandomValues(rand) | |
while (rand[0] < min) | |
return rand[0] % max | |
} | |
function isDigit (str) { | |
return str.length === 1 && str.match(/[0-9]/) | |
} | |
function replaceDigit (str) { | |
// Leet speak replacement of digits for alphabetic characters | |
if (str === '0') return 'o' | |
else if (str === '1') return 'l' | |
else if (str === '2') return 'z' | |
else if (str === '3') return 'e' | |
else if (str === '4') return 'a' | |
else if (str === '5') return 's' | |
else if (str === '6') return 'b' | |
else if (str === '7') return 't' | |
else if (str === '8') return 'b' | |
else if (str === '9') return 'g' | |
} | |
function getCombos (arr, res, ctr) { | |
// Get every possible combination of 1-2 character strings in a 4 element array | |
const ptr0 = ctr.toString(2).padStart(4, '0')[0] | |
const ptr1 = ctr.toString(2).padStart(4, '0')[1] | |
const ptr2 = ctr.toString(2).padStart(4, '0')[2] | |
const ptr3 = ctr.toString(2).padStart(4, '0')[3] | |
if (arr[0][ptr0] !== undefined && arr[1][ptr1] !== undefined && arr[2][ptr2] !== undefined && arr[3][ptr3] !== undefined) { | |
res.push(arr[0][ptr0] + arr[1][ptr1] + arr[2][ptr2] + arr[3][ptr3]) | |
} | |
ctr++ | |
if (ctr < 2 ** arr.length) getCombos(arr, res, ctr) | |
} | |
function calculateScores (arr) { | |
// Get a bigram scores from Google's n-gram viewer (bigrams.js here) | |
let results = {} | |
for (let i = 0; i < arr.length; i++) { | |
let str = arr[i] | |
let score = 0 | |
for (let j = 0; j < str.length - 1; j++) { | |
if (isDigit(str[j])) score += bigrams[replaceDigit(str[j]) + str[j + 1].toLowerCase()] | |
else if (isDigit(str[j + 1])) score += bigrams[str[j].toLowerCase() + replaceDigit(str[j + 1])] | |
else score += bigrams[str[j].toLowerCase() + str[j + 1].toLowerCase()] | |
} | |
results[str] = score | |
} | |
// Return the highest score | |
return Object.keys(results).reduce(function(a, b){ return results[a] > results[b] ? a : b }) | |
} | |
function password (entropy) { | |
const delimiters = '.+-=@%' // 6 characters for a uniform checksum | |
// Table from https://www.draketo.de/software/letterblock-diceware | |
const letters = [ | |
['1', 'A', 'J', 'a', 'h', 'px'], | |
['26', 'BC', 'LR', 'bc', 'i', 'r'], | |
['37', 'DH', 'N', 'd', 'j', 't'], | |
['48', 'E', 'PX', 'e', 'k', 'u'], | |
['59', 'FK', 'U', 'f', 'm', 'v'], | |
['0', 'QM', 'VW', 'gq', 'o', 'w'] | |
] | |
// First we need to know how many 4-character blocks to create | |
const blockEntropy = 4 * Math.floor(Math.log2(36)) | |
const totalEntropy = Math.ceil(entropy / blockEntropy) * blockEntropy | |
const numBlocks = (totalEntropy / blockEntropy) | |
const blocks = [] | |
const checks = [] | |
let pw = '' | |
for (let i = 0; i < numBlocks; i++) { | |
const jail = [] | |
const combos = [] | |
let block = '' | |
let check = 0 | |
// For each block, let's grab a random cell in the 6x6 table | |
for (let j = 0; j < 4; j++) { | |
const randNum = secureRandom(36) | |
const row = Math.floor(randNum / 6) | |
const col = randNum % 6 | |
let cell = letters[row][col] | |
jail.push(cell) | |
check += (row + 1) // Indexed at 1 per the original proposal | |
} | |
// Let's generate all possible bigrams using 1 character from each element of the array | |
getCombos(jail, combos, 0) | |
// Return the block with the highest bigram score | |
let winner = calculateScores(combos) | |
blocks.push(winner) | |
checks.push(check) | |
} | |
// Calculate the checksum | |
for (let i = 0; i < blocks.length; i++) { | |
pw += blocks[i] | |
if (checks[i + 1] !== undefined) { | |
pw += delimiters[(checks[i] + checks[i + 1]) % 6] | |
} | |
} | |
return pw | |
} | |
function show() { | |
const minSecurity = document.getElementById('length').value | |
document.getElementById("password").value = password(minSecurity) | |
} |
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// https://gist.github.com/lydell/c439049abac2c9226e53 | |
const bigrams = { | |
'th': 100272945963, | |
'he': 86697336727, | |
'in': 68595215308, | |
'er': 57754162106, | |
'an': 55974567611, | |
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'on': 49570981965, | |
'at': 41920838452, | |
'en': 41004903554, | |
'nd': 38129777631, | |
'ti': 37856196209, | |
'es': 37766388079, | |
'or': 35994097756, | |
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'is': 31817918249, | |
'it': 31672532308, | |
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'st': 29704461829, | |
'to': 29360205581, | |
'nt': 29359771944, | |
'ng': 26871805511, | |
'se': 26282488562, | |
'ha': 26103411208, | |
'as': 24561944198, | |
'ou': 24531132241, | |
'io': 23542263265, | |
'le': 23382173640, | |
've': 23270129573, | |
'co': 22384167777, | |
'me': 22360109325, | |
'de': 21565300071, | |
'hi': 21520845924, | |
'ri': 20516398905, | |
'ro': 20491179118, | |
'ic': 19701195496, | |
'ne': 19504235770, | |
'ea': 19403941063, | |
'ra': 19332539912, | |
'ce': 18367773425, | |
'li': 17604626629, | |
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'et': 11634161334, | |
'ut': 11423899818, | |
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