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GitHub Action 2024-06-15 13:15:45 +00:00
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commit 4b61454eae
21 changed files with 206 additions and 3220 deletions
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data/web/corefork.telegram.org/constructor/booster.html
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<!DOCTYPE html>
<html class="">
<head>
<meta charset="utf-8">
<title>Page not found</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<meta property="og:image" content="">
<meta property="og:description" content="">
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<link rel="apple-touch-icon" sizes="180x180" href="/img/apple-touch-icon.png">
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<link rel="icon" type="image/png" sizes="16x16" href="/img/favicon-16x16.png">
<link rel="alternate icon" href="/img/favicon.ico" type="image/x-icon" />
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<style>
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</head>
<body class="preload">
<div class="dev_page_wrap">
<div class="dev_page_head navbar navbar-static-top navbar-tg">
<div class="navbar-inner">
<div class="container clearfix">
<ul class="nav navbar-nav navbar-right hidden-xs"><li class="navbar-twitter"><a href="https://twitter.com/telegram" target="_blank" data-track="Follow/Twitter" onclick="trackDlClick(this, event)"><i class="icon icon-twitter"></i><span> Twitter</span></a></li></ul>
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<li class="hidden-xs"><a href="//telegram.org/faq">FAQ</a></li>
<li class="hidden-xs"><a href="//telegram.org/apps">Apps</a></li>
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<li class=""><a href="/mtproto">Protocol</a></li>
<li class="active"><a href="/schema">Schema</a></li>
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<div class="container clearfix">
<div class="dev_page">
<div id="dev_page_content_wrap" class=" ">
<div class="dev_page_bread_crumbs"><ul class="breadcrumb clearfix"><li><a href="/api" >API</a></li><i class="icon icon-breadcrumb-divider"></i><li><a href="/schema" >TL-schema</a></li><i class="icon icon-breadcrumb-divider"></i><li></li></ul></div>
<h1 id="dev_page_title">Page not found</h1>
<div id="dev_page_content">The page has not been saved</div>
</div>
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<div class="footer_wrap">
<div class="footer_columns_wrap footer_desktop">
<div class="footer_column footer_column_telegram">
<h5>Telegram</h5>
<div class="footer_telegram_description"></div>
Telegram is a cloud-based mobile and desktop messaging app with a focus on security and speed.
</div>
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
<ul>
<li><a href="//telegram.org/faq">FAQ</a></li>
<li><a href="//telegram.org/privacy">Privacy</a></li>
<li><a href="//telegram.org/press">Press</a></li>
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</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#mobile-apps">Mobile Apps</a></h5>
<ul>
<li><a href="//telegram.org/dl/ios">iPhone/iPad</a></li>
<li><a href="//telegram.org/android">Android</a></li>
<li><a href="//telegram.org/dl/web">Mobile Web</a></li>
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<h5><a href="//telegram.org/apps#desktop-apps">Desktop Apps</a></h5>
<ul>
<li><a href="//desktop.telegram.org/">PC/Mac/Linux</a></li>
<li><a href="//macos.telegram.org/">macOS</a></li>
<li><a href="//telegram.org/dl/web">Web-browser</a></li>
</ul>
</div>
<div class="footer_column footer_column_platform">
<h5><a href="//core.telegram.org/">Platform</a></h5>
<ul>
<li><a href="//core.telegram.org/api">API</a></li>
<li><a href="//translations.telegram.org/">Translations</a></li>
<li><a href="//instantview.telegram.org/">Instant View</a></li>
</ul>
</div>
</div>
<div class="footer_columns_wrap footer_mobile">
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/blog">Blog</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps">Apps</a></h5>
</div>
<div class="footer_column">
<h5><a href="//core.telegram.org/">Platform</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/press">Press</a></h5>
</div>
</div>
</div>
</div>
<script src="/js/main.js?47"></script>
<script>backToTopInit("Go up");
removePreloadInit();
</script>
</body>
</html>

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<html class="">
<head>
<meta charset="utf-8">
<title>Page not found</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta property="description" content="">
<meta property="og:title" content="Page not found">
<meta property="og:image" content="">
<meta property="og:description" content="">
<link rel="icon" type="image/svg+xml" href="/img/website_icon.svg?4">
<link rel="apple-touch-icon" sizes="180x180" href="/img/apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="/img/favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="/img/favicon-16x16.png">
<link rel="alternate icon" href="/img/favicon.ico" type="image/x-icon" />
<link href="/css/bootstrap.min.css?3" rel="stylesheet">
<link href="/css/telegram.css?237" rel="stylesheet" media="screen">
<style>
</style>
</head>
<body class="preload">
<div class="dev_page_wrap">
<div class="dev_page_head navbar navbar-static-top navbar-tg">
<div class="navbar-inner">
<div class="container clearfix">
<ul class="nav navbar-nav navbar-right hidden-xs"><li class="navbar-twitter"><a href="https://twitter.com/telegram" target="_blank" data-track="Follow/Twitter" onclick="trackDlClick(this, event)"><i class="icon icon-twitter"></i><span> Twitter</span></a></li></ul>
<ul class="nav navbar-nav">
<li><a href="//telegram.org/">Home</a></li>
<li class="hidden-xs"><a href="//telegram.org/faq">FAQ</a></li>
<li class="hidden-xs"><a href="//telegram.org/apps">Apps</a></li>
<li class=""><a href="/api">API</a></li>
<li class=""><a href="/mtproto">Protocol</a></li>
<li class="active"><a href="/schema">Schema</a></li>
</ul>
</div>
</div>
</div>
<div class="container clearfix">
<div class="dev_page">
<div id="dev_page_content_wrap" class=" ">
<div class="dev_page_bread_crumbs"><ul class="breadcrumb clearfix"><li><a href="/api" >API</a></li><i class="icon icon-breadcrumb-divider"></i><li><a href="/schema" >TL-schema</a></li><i class="icon icon-breadcrumb-divider"></i><li></li></ul></div>
<h1 id="dev_page_title">Page not found</h1>
<div id="dev_page_content">The page has not been saved</div>
</div>
</div>
</div>
<div class="footer_wrap">
<div class="footer_columns_wrap footer_desktop">
<div class="footer_column footer_column_telegram">
<h5>Telegram</h5>
<div class="footer_telegram_description"></div>
Telegram is a cloud-based mobile and desktop messaging app with a focus on security and speed.
</div>
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
<ul>
<li><a href="//telegram.org/faq">FAQ</a></li>
<li><a href="//telegram.org/privacy">Privacy</a></li>
<li><a href="//telegram.org/press">Press</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#mobile-apps">Mobile Apps</a></h5>
<ul>
<li><a href="//telegram.org/dl/ios">iPhone/iPad</a></li>
<li><a href="//telegram.org/android">Android</a></li>
<li><a href="//telegram.org/dl/web">Mobile Web</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#desktop-apps">Desktop Apps</a></h5>
<ul>
<li><a href="//desktop.telegram.org/">PC/Mac/Linux</a></li>
<li><a href="//macos.telegram.org/">macOS</a></li>
<li><a href="//telegram.org/dl/web">Web-browser</a></li>
</ul>
</div>
<div class="footer_column footer_column_platform">
<h5><a href="//core.telegram.org/">Platform</a></h5>
<ul>
<li><a href="//core.telegram.org/api">API</a></li>
<li><a href="//translations.telegram.org/">Translations</a></li>
<li><a href="//instantview.telegram.org/">Instant View</a></li>
</ul>
</div>
</div>
<div class="footer_columns_wrap footer_mobile">
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/blog">Blog</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps">Apps</a></h5>
</div>
<div class="footer_column">
<h5><a href="//core.telegram.org/">Platform</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/press">Press</a></h5>
</div>
</div>
</div>
</div>
<script src="/js/main.js?47"></script>
<script>backToTopInit("Go up");
removePreloadInit();
</script>
</body>
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<!DOCTYPE html>
<html class="">
<head>
<meta charset="utf-8">
<title>Page not found</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta property="description" content="">
<meta property="og:title" content="Page not found">
<meta property="og:image" content="">
<meta property="og:description" content="">
<link rel="icon" type="image/svg+xml" href="/img/website_icon.svg?4">
<link rel="apple-touch-icon" sizes="180x180" href="/img/apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="/img/favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="/img/favicon-16x16.png">
<link rel="alternate icon" href="/img/favicon.ico" type="image/x-icon" />
<link href="/css/bootstrap.min.css?3" rel="stylesheet">
<link href="/css/telegram.css?237" rel="stylesheet" media="screen">
<style>
</style>
</head>
<body class="preload">
<div class="dev_page_wrap">
<div class="dev_page_head navbar navbar-static-top navbar-tg">
<div class="navbar-inner">
<div class="container clearfix">
<ul class="nav navbar-nav navbar-right hidden-xs"><li class="navbar-twitter"><a href="https://twitter.com/telegram" target="_blank" data-track="Follow/Twitter" onclick="trackDlClick(this, event)"><i class="icon icon-twitter"></i><span> Twitter</span></a></li></ul>
<ul class="nav navbar-nav">
<li><a href="//telegram.org/">Home</a></li>
<li class="hidden-xs"><a href="//telegram.org/faq">FAQ</a></li>
<li class="hidden-xs"><a href="//telegram.org/apps">Apps</a></li>
<li class="active"><a href="/api">API</a></li>
<li class=""><a href="/mtproto">Protocol</a></li>
<li class=""><a href="/schema">Schema</a></li>
</ul>
</div>
</div>
</div>
<div class="container clearfix">
<div class="dev_page">
<div id="dev_page_content_wrap" class=" ">
<div class="dev_page_bread_crumbs"><ul class="breadcrumb clearfix"><li><a href="/api" >API</a></li><i class="icon icon-breadcrumb-divider"></i><li><a href="/methods" >All Methods</a></li><i class="icon icon-breadcrumb-divider"></i><li></li></ul></div>
<h1 id="dev_page_title">Page not found</h1>
<div id="dev_page_content">The page has not been saved</div>
</div>
</div>
</div>
<div class="footer_wrap">
<div class="footer_columns_wrap footer_desktop">
<div class="footer_column footer_column_telegram">
<h5>Telegram</h5>
<div class="footer_telegram_description"></div>
Telegram is a cloud-based mobile and desktop messaging app with a focus on security and speed.
</div>
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
<ul>
<li><a href="//telegram.org/faq">FAQ</a></li>
<li><a href="//telegram.org/privacy">Privacy</a></li>
<li><a href="//telegram.org/press">Press</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#mobile-apps">Mobile Apps</a></h5>
<ul>
<li><a href="//telegram.org/dl/ios">iPhone/iPad</a></li>
<li><a href="//telegram.org/android">Android</a></li>
<li><a href="//telegram.org/dl/web">Mobile Web</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#desktop-apps">Desktop Apps</a></h5>
<ul>
<li><a href="//desktop.telegram.org/">PC/Mac/Linux</a></li>
<li><a href="//macos.telegram.org/">macOS</a></li>
<li><a href="//telegram.org/dl/web">Web-browser</a></li>
</ul>
</div>
<div class="footer_column footer_column_platform">
<h5><a href="//core.telegram.org/">Platform</a></h5>
<ul>
<li><a href="//core.telegram.org/api">API</a></li>
<li><a href="//translations.telegram.org/">Translations</a></li>
<li><a href="//instantview.telegram.org/">Instant View</a></li>
</ul>
</div>
</div>
<div class="footer_columns_wrap footer_mobile">
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/blog">Blog</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps">Apps</a></h5>
</div>
<div class="footer_column">
<h5><a href="//core.telegram.org/">Platform</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/press">Press</a></h5>
</div>
</div>
</div>
</div>
<script src="/js/main.js?47"></script>
<script>backToTopInit("Go up");
removePreloadInit();
</script>
</body>
</html>

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<!DOCTYPE html>
<html class="">
<head>
<meta charset="utf-8">
<title>Page not found</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta property="description" content="">
<meta property="og:title" content="Page not found">
<meta property="og:image" content="">
<meta property="og:description" content="">
<link rel="icon" type="image/svg+xml" href="/img/website_icon.svg?4">
<link rel="apple-touch-icon" sizes="180x180" href="/img/apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="/img/favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="/img/favicon-16x16.png">
<link rel="alternate icon" href="/img/favicon.ico" type="image/x-icon" />
<link href="/css/bootstrap.min.css?3" rel="stylesheet">
<link href="/css/telegram.css?237" rel="stylesheet" media="screen">
<style>
</style>
</head>
<body class="preload">
<div class="dev_page_wrap">
<div class="dev_page_head navbar navbar-static-top navbar-tg">
<div class="navbar-inner">
<div class="container clearfix">
<ul class="nav navbar-nav navbar-right hidden-xs"><li class="navbar-twitter"><a href="https://twitter.com/telegram" target="_blank" data-track="Follow/Twitter" onclick="trackDlClick(this, event)"><i class="icon icon-twitter"></i><span> Twitter</span></a></li></ul>
<ul class="nav navbar-nav">
<li><a href="//telegram.org/">Home</a></li>
<li class="hidden-xs"><a href="//telegram.org/faq">FAQ</a></li>
<li class="hidden-xs"><a href="//telegram.org/apps">Apps</a></li>
<li class="active"><a href="/api">API</a></li>
<li class=""><a href="/mtproto">Protocol</a></li>
<li class=""><a href="/schema">Schema</a></li>
</ul>
</div>
</div>
</div>
<div class="container clearfix">
<div class="dev_page">
<div id="dev_page_content_wrap" class=" ">
<div class="dev_page_bread_crumbs"><ul class="breadcrumb clearfix"><li><a href="/api" >API</a></li><i class="icon icon-breadcrumb-divider"></i><li><a href="/methods" >All Methods</a></li><i class="icon icon-breadcrumb-divider"></i><li></li></ul></div>
<h1 id="dev_page_title">Page not found</h1>
<div id="dev_page_content">The page has not been saved</div>
</div>
</div>
</div>
<div class="footer_wrap">
<div class="footer_columns_wrap footer_desktop">
<div class="footer_column footer_column_telegram">
<h5>Telegram</h5>
<div class="footer_telegram_description"></div>
Telegram is a cloud-based mobile and desktop messaging app with a focus on security and speed.
</div>
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
<ul>
<li><a href="//telegram.org/faq">FAQ</a></li>
<li><a href="//telegram.org/privacy">Privacy</a></li>
<li><a href="//telegram.org/press">Press</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#mobile-apps">Mobile Apps</a></h5>
<ul>
<li><a href="//telegram.org/dl/ios">iPhone/iPad</a></li>
<li><a href="//telegram.org/android">Android</a></li>
<li><a href="//telegram.org/dl/web">Mobile Web</a></li>
</ul>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps#desktop-apps">Desktop Apps</a></h5>
<ul>
<li><a href="//desktop.telegram.org/">PC/Mac/Linux</a></li>
<li><a href="//macos.telegram.org/">macOS</a></li>
<li><a href="//telegram.org/dl/web">Web-browser</a></li>
</ul>
</div>
<div class="footer_column footer_column_platform">
<h5><a href="//core.telegram.org/">Platform</a></h5>
<ul>
<li><a href="//core.telegram.org/api">API</a></li>
<li><a href="//translations.telegram.org/">Translations</a></li>
<li><a href="//instantview.telegram.org/">Instant View</a></li>
</ul>
</div>
</div>
<div class="footer_columns_wrap footer_mobile">
<div class="footer_column">
<h5><a href="//telegram.org/faq">About</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/blog">Blog</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/apps">Apps</a></h5>
</div>
<div class="footer_column">
<h5><a href="//core.telegram.org/">Platform</a></h5>
</div>
<div class="footer_column">
<h5><a href="//telegram.org/press">Press</a></h5>
</div>
</div>
</div>
</div>
<script src="/js/main.js?47"></script>
<script>backToTopInit("Go up");
removePreloadInit();
</script>
</body>
</html>

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<!DOCTYPE html>
<html class="">
<head>
<meta charset="utf-8">
<title>Page not found</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta property="description" content="">
<meta property="og:title" content="Page not found">
<meta property="og:image" content="">
<meta property="og:description" content="">
<link rel="icon" type="image/svg+xml" href="/img/website_icon.svg?4">
<link rel="apple-touch-icon" sizes="180x180" href="/img/apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="/img/favicon-32x32.png">
<link rel="icon" type="image/png" sizes="16x16" href="/img/favicon-16x16.png">
<link rel="alternate icon" href="/img/favicon.ico" type="image/x-icon" />
<link href="/css/bootstrap.min.css?3" rel="stylesheet">
<link href="/css/telegram.css?237" rel="stylesheet" media="screen">
<style>
</style>
</head>
<body class="preload">
<div class="dev_page_wrap">
<div class="dev_page_head navbar navbar-static-top navbar-tg">
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data/web/corefork.telegram.org/mtproto/samples-auth_key.html
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@ -53,9 +53,9 @@
<h5><a class="anchor" href="#1-client-sends-query-to-server" id="1-client-sends-query-to-server" name="1-client-sends-query-to-server"><i class="anchor-icon"></i></a>1) Client sends query to server</h5>
<!-- start req_pq_multi -->
<p>Sent payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 E0 FC 06 00 FC 8E 6D 66
0010 | 14 00 00 00 F1 8E 7E BE A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 80 E7 0D 00 2B 92 6D 66
0010 | 14 00 00 00 F1 8E 7E BE 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>req_pq_multi#be7e8ef1 nonce:int128 = ResPQ;</code></pre>
<table class="table">
@ -77,7 +77,7 @@
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>E0FC0600FC8E6D66</code></td>
<td><code>80E70D002B926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
@ -95,7 +95,7 @@
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Random number</td>
</tr>
</tbody>
@ -104,11 +104,11 @@
<h5><a class="anchor" href="#2-server-sends-response-of-the-form" id="2-server-sends-response-of-the-form" name="2-server-sends-response-of-the-form"><i class="anchor-icon"></i></a>2) Server sends response of the form</h5>
<!-- start resPQ -->
<p>Received payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 08 E3 84 FC 8E 6D 66
0010 | 50 00 00 00 63 24 16 05 A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57 9D EF AA 9F 2F 39 95 32
0030 | 65 3F 46 E0 25 8F D3 07 08 25 E5 22 AD FB B3 44
0040 | 29 00 00 00 15 C4 B5 1C 03 00 00 00 A5 B7 F7 09
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 78 ED 52 2B 92 6D 66
0010 | 88 00 00 00 63 24 16 05 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB E3 02 5A E4 65 D2 31 FF
0030 | DA 4F 25 8A 8C C6 D2 99 08 23 C4 B6 DD 9A 0B 65
0040 | 95 00 00 00 15 C4 B5 1C 03 00 00 00 A5 B7 F7 09
0050 | 35 5F C3 0B 21 6B E8 6C 02 2B B4 C3 85 FD 64 DE
0060 | 85 1D 9D D0</code></pre>
<p>Payload (de)serialization:</p>
@ -132,13 +132,13 @@
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>0108E384FC8E6D66</code></td>
<td><code>0178ED522B926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
<td>message_length</td>
<td>16, 4</td>
<td><code>50000000</code> (80 in decimal)</td>
<td><code>88000000</code> (136 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -150,19 +150,19 @@
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Server-generated random number</td>
</tr>
<tr>
<td>pq</td>
<td>56, 12</td>
<td><code>0825E522ADFBB34429000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2730626879717590057</td>
<td><code>0823C4B6DD9A0B6595000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2577385949651232149</td>
<td>Single-byte prefix denoting length, an 8-byte string, and three bytes of padding</td>
</tr>
<tr>
@ -208,22 +208,22 @@
<h4><a class="anchor" href="#proof-of-work" id="proof-of-work" name="proof-of-work"><i class="anchor-icon"></i></a>Proof of work</h4>
<h5><a class="anchor" href="#3-client-decomposes-pq-into-prime-factors-such-that-p-lt-q" id="3-client-decomposes-pq-into-prime-factors-such-that-p-lt-q" name="3-client-decomposes-pq-into-prime-factors-such-that-p-lt-q"><i class="anchor-icon"></i></a>3) Client decomposes pq into prime factors such that p &lt; q.</h5>
<!-- start pq -->
<pre><code>pq = 2730626879717590057</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2730626879717590057 = 1558228979 * 1752391283</code></p>
<pre><code>p = 1558228979
q = 1752391283</code></pre>
<pre><code>pq = 2577385949651232149</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2577385949651232149 = 1302502657 * 1978795157</code></p>
<pre><code>p = 1302502657
q = 1978795157</code></pre>
<!-- end pq -->
<h4><a class="anchor" href="#presenting-proof-of-work-server-authentication" id="presenting-proof-of-work-server-authentication" name="presenting-proof-of-work-server-authentication"><i class="anchor-icon"></i></a>Presenting proof of work; Server authentication</h4>
<h5><a class="anchor" href="#4-encrypted-data-payload-generation" id="4-encrypted-data-payload-generation" name="4-encrypted-data-payload-generation"><i class="anchor-icon"></i></a>4) <code>encrypted_data</code> payload generation</h5>
<p>First of all, generate an <code>encrypted_data</code> payload as follows:</p>
<!-- start p_q_inner_data_dc -->
<p>Generated payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 95 5F F5 A9 08 25 E5 22 AD FB B3 44 29 00 00 00
0010 | 04 5C E0 AF F3 00 00 00 04 68 73 5E 73 00 00 00
0020 | A0 7A 5A EC 88 BE AB B1 21 CA 05 C7 95 47 49 57
0030 | 9D EF AA 9F 2F 39 95 32 65 3F 46 E0 25 8F D3 07
0040 | 2F 45 8E 33 3D AB 1C 14 CD 4E 7D 8D EE D2 CD 2C
0050 | 2F B1 86 FD EC D2 DF 01 03 51 5E 79 68 F4 71 DE
<pre><code>0000 | 95 5F F5 A9 08 23 C4 B6 DD 9A 0B 65 95 00 00 00
0010 | 04 4D A2 9D 01 00 00 00 04 75 F2 04 95 00 00 00
0020 | 05 64 65 F4 C5 3A DA 11 5F 68 C4 39 92 23 7D FB
0030 | E3 02 5A E4 65 D2 31 FF DA 4F 25 8A 8C C6 D2 99
0040 | 5C 0D 1A F5 12 CF 44 9B 24 75 05 AD 1A A1 CB 35
0050 | 8C BC B5 D3 6A 58 59 F8 51 2C B4 78 BE 1E C1 64
0060 | 02 00 00 00</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>p_q_inner_data_dc#a9f55f95 pq:string p:string q:string nonce:int128 server_nonce:int128 new_nonce:int256 dc:int = P_Q_inner_data;</code></pre>
@ -246,37 +246,37 @@ q = 1752391283</code></pre>
<tr>
<td>pq</td>
<td>4, 12</td>
<td><code>0825E522ADFBB34429000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2730626879717590057</td>
<td><code>0823C4B6DD9A0B6595000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2577385949651232149</td>
<td>Single-byte prefix denoting length, 8-byte string, and three bytes of padding</td>
</tr>
<tr>
<td>p</td>
<td>16, 8</td>
<td><code>045CE0AFF3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1558228979</td>
<td><code>044DA29D01000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1302502657</td>
<td>First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
</tr>
<tr>
<td>q</td>
<td>24, 8</td>
<td><code>0468735E73000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1752391283</td>
<td><code>0475F20495000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1978795157</td>
<td>Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
</tr>
<tr>
<td>nonce</td>
<td>32, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>48, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce</td>
<td>64, 32</td>
<td><code>2F458E333DAB1C14CD4E7D8DEED2CD2C</code> <code>2FB186FDECD2DF0103515E7968F471DE</code></td>
<td><code>5C0D1AF512CF449B247505AD1AA1CB35</code> <code>8CBCB5D36A5859F8512CB478BE1EC164</code></td>
<td>Client-generated random number</td>
</tr>
<tr>
@ -291,39 +291,39 @@ q = 1752391283</code></pre>
<p>The serialization of <em>P_Q_inner_data</em> produces <strong>data</strong>, which is used to generate <strong>encrypted_data</strong> as specified in <a href="/mtproto/auth_key">step 4.1</a>.<br>
These are the inputs to the algorithm specified in <a href="/mtproto/auth_key">step 4.1</a>:</p>
<!-- start p_q_inner_data_input -->
<pre><code>data = 955FF5A90825E522ADFBB34429000000045CE0AFF30000000468735E73000000A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD3072F458E333DAB1C14CD4E7D8DEED2CD2C2FB186FDECD2DF0103515E7968F471DE02000000
random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8153EA4923521F63BFC18C699480308450D750790BB80E9C26CE18AB51356A863381F839DE6D1245686099425B593E508F00DEE92A5EDFCFD7A6CBA63C83D5F1</code></pre>
<pre><code>data = 955FF5A90823C4B6DD9A0B6595000000044DA29D010000000475F20495000000056465F4C53ADA115F68C43992237DFBE3025AE465D231FFDA4F258A8CC6D2995C0D1AF512CF449B247505AD1AA1CB358CBCB5D36A5859F8512CB478BE1EC16402000000
random_padding_bytes = DAC1BFD8598025A002DC510182ED76EEC0CF5B233022A4D3F0108F8316D4CE7150002C15270E00A2042CCF3A8662B40B9416592BAEA3CB05CCBBB801C4B97DEA06D258E1222FC69BDC98F1E075D9BE22103B3BCAF859C0BFCE8C39A6</code></pre>
<!-- end p_q_inner_data_input -->
<p>And this is the output:</p>
<!-- start p_q_inner_data_output -->
<pre><code>encrypted_data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code></pre>
<pre><code>encrypted_data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code></pre>
<!-- end p_q_inner_data_output -->
<p>The length of the final string is 256 bytes.</p>
<h5><a class="anchor" href="#5-send-req-dh-params-query-with-generated-encrypted-data" id="5-send-req-dh-params-query-with-generated-encrypted-data" name="5-send-req-dh-params-query-with-generated-encrypted-data"><i class="anchor-icon"></i></a>5) Send req_DH_params query with generated <code>encrypted_data</code></h5>
<!-- start req_DH_params -->
<p>Sent payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 E4 FC 06 00 FC 8E 6D 66
0010 | 40 01 00 00 BE E4 12 D7 A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57 9D EF AA 9F 2F 39 95 32
0030 | 65 3F 46 E0 25 8F D3 07 04 5C E0 AF F3 00 00 00
0040 | 04 68 73 5E 73 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 D6 D1 FB BE 8A 51 7D A3 88 7E 06 C3
0060 | F9 AB 10 80 A5 45 E9 42 65 01 E9 61 0A A7 5C 00
0070 | 4F A5 27 0E 4E CF 4A CB 2C 70 89 A9 86 BA 38 DD
0080 | D9 14 19 FD 42 F3 E3 45 83 69 35 69 FB 88 5A CB
0090 | 79 04 BB EC BE 22 17 FE E2 2C 80 76 61 77 3A DF
00A0 | 9D F9 A3 08 77 CC B0 E8 8A 79 BA BF 3C 8C F2 73
00B0 | 72 66 8D 40 DE 47 E2 B5 D6 3B 9A 12 C3 5E 9C A7
00C0 | 1B C6 18 38 66 52 7A 23 CC 64 65 ED B6 38 F9 52
00D0 | 8D 0E 67 29 14 EF 3B ED 81 0B 96 CB 20 2E 5C 8C
00E0 | 07 45 03 F8 4D 7F B6 16 A0 B5 2F 79 3A D5 6D 9A
00F0 | EA 65 17 9F 3F 18 A6 AE 10 A7 99 25 D9 5B 68 66
0100 | 45 25 68 11 72 E7 21 FB 51 4C 92 0C 25 AF 9E B9
0110 | E5 13 BB 9C 16 C2 E1 BC AF 5A AE 8C FC 75 64 9B
0120 | 44 E8 E0 21 4F 31 C2 52 BB 6D 53 44 B9 72 CE 39
0130 | CB 1B 55 F0 2D 01 1A B2 9B 17 35 91 5C 86 1A B7
0140 | 0A 7F D3 B8 53 57 4A 0F 41 06 D6 95 4D 7E 22 12
0150 | 82 AF 19 AD</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 84 E7 0D 00 2B 92 6D 66
0010 | 40 01 00 00 BE E4 12 D7 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB E3 02 5A E4 65 D2 31 FF
0030 | DA 4F 25 8A 8C C6 D2 99 04 4D A2 9D 01 00 00 00
0040 | 04 75 F2 04 95 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 B5 11 58 F2 32 08 1D 80 9D B9 B2 96
0060 | 6B 63 70 10 2E 1C 42 55 6C A8 0B 02 C4 C4 DF 58
0070 | 98 0D 6F 98 B4 B9 92 86 55 93 96 00 A2 92 4B 87
0080 | 2A FE BA 5F 44 FD A7 FE B2 97 3B EB DD 80 20 AB
0090 | 73 E4 C9 51 33 9C 5C C9 77 3C E1 8B F9 5E F0 E5
00A0 | EC 1A F0 76 69 B8 78 76 B4 B5 4D 03 80 1D 02 31
00B0 | 11 8C CC 12 C8 B1 91 B5 CB F2 8A F4 F0 88 F0 A5
00C0 | 80 DD 67 FC 25 EC 13 53 5A 10 EE DC 13 D9 28 7E
00D0 | 01 B0 29 CD 2C 36 CB 79 E5 AF 89 C7 E9 1B 0F FF
00E0 | 7D 69 32 51 72 12 0B 70 6E 58 23 4C BA 4D BA 5E
00F0 | A7 27 0C 08 0B 7F 89 56 5A A8 ED 02 E1 2B 3B 53
0100 | 6A 0D 83 E8 F3 6C F9 16 77 87 F3 55 00 40 B8 E7
0110 | FE 0C F2 48 54 39 5A F1 1E C1 98 0E D3 53 DE 1E
0120 | FC D7 43 D2 E8 AB BA 26 1B B4 D4 AD EF FB AC BC
0130 | B2 26 2F 28 E5 9A CB 9B DA 2E E2 F9 08 5C BA 4D
0140 | 92 9A 09 9A 27 F3 D2 F0 6E F5 99 BD F9 11 1A ED
0150 | E0 BC AA 47</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>req_DH_params#d712e4be nonce:int128 server_nonce:int128 p:string q:string public_key_fingerprint:long encrypted_data:string = Server_DH_Params;</code></pre>
<table class="table">
@ -345,7 +345,7 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>E4FC0600FC8E6D66</code></td>
<td><code>84E70D002B926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
@ -363,25 +363,25 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>p</td>
<td>56, 8</td>
<td><code>045CE0AFF3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1558228979</td>
<td><code>044DA29D01000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1302502657</td>
<td>First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
</tr>
<tr>
<td>q</td>
<td>64, 8</td>
<td><code>0468735E73000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1752391283</td>
<td><code>0475F20495000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1978795157</td>
<td>Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
</tr>
<tr>
@ -393,7 +393,7 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<tr>
<td>encrypted_data</td>
<td>80, 260</td>
<td><code>FE000100D6D1FBBE8A517DA3887E06C3</code> <code>F9AB1080A545E9426501E9610AA75C00</code> <code>4FA5270E4ECF4ACB2C7089A986BA38DD</code> <code>D91419FD42F3E34583693569FB885ACB</code> <code>7904BBECBE2217FEE22C807661773ADF</code> <code>9DF9A30877CCB0E88A79BABF3C8CF273</code> <code>72668D40DE47E2B5D63B9A12C35E9CA7</code> <code>1BC6183866527A23CC6465EDB638F952</code> <code>8D0E672914EF3BED810B96CB202E5C8C</code> <code>074503F84D7FB616A0B52F793AD56D9A</code> <code>EA65179F3F18A6AE10A79925D95B6866</code> <code>4525681172E721FB514C920C25AF9EB9</code> <code>E513BB9C16C2E1BCAF5AAE8CFC75649B</code> <code>44E8E0214F31C252BB6D5344B972CE39</code> <code>CB1B55F02D011AB29B1735915C861AB7</code> <code>0A7FD3B853574A0F4106D6954D7E2212</code><br> <code>82AF19AD</code></td>
<td><code>FE000100B51158F232081D809DB9B296</code> <code>6B6370102E1C42556CA80B02C4C4DF58</code> <code>980D6F98B4B9928655939600A2924B87</code> <code>2AFEBA5F44FDA7FEB2973BEBDD8020AB</code> <code>73E4C951339C5CC9773CE18BF95EF0E5</code> <code>EC1AF07669B87876B4B54D03801D0231</code> <code>118CCC12C8B191B5CBF28AF4F088F0A5</code> <code>80DD67FC25EC13535A10EEDC13D9287E</code> <code>01B029CD2C36CB79E5AF89C7E91B0FFF</code> <code>7D69325172120B706E58234CBA4DBA5E</code> <code>A7270C080B7F89565AA8ED02E12B3B53</code> <code>6A0D83E8F36CF9167787F3550040B8E7</code> <code>FE0CF24854395AF11EC1980ED353DE1E</code> <code>FCD743D2E8ABBA261BB4D4ADEFFBACBC</code> <code>B2262F28E59ACB9BDA2EE2F9085CBA4D</code> <code>929A099A27F3D2F06EF599BDF9111AED</code><br> <code>E0BCAA47</code></td>
<td>Value generated above</td>
</tr>
</tbody>
@ -402,47 +402,47 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<h5><a class="anchor" href="#6-server-responds-with" id="6-server-responds-with" name="6-server-responds-with"><i class="anchor-icon"></i></a>6) Server responds with:</h5>
<!-- start server_DH_params_ok -->
<p>Received payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 B0 27 29 FD 8E 6D 66
0010 | 9C 02 00 00 5C 07 E8 D0 A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57 9D EF AA 9F 2F 39 95 32
0030 | 65 3F 46 E0 25 8F D3 07 FE 50 02 00 AA 13 E4 A4
0040 | F4 81 E8 04 DA F0 18 5A 90 C9 2B F2 0F 4A E4 7A
0050 | 19 CA B4 8F 84 9F AD F6 32 7F 74 AB 2D B5 AC 6D
0060 | 42 7B 0E 52 04 D0 7B 94 9E 97 C8 D9 2E 87 63 8A
0070 | 32 B3 89 1E 5C 99 FA 1E F1 13 96 45 5F FB 9A 43
0080 | 44 88 7F 46 20 12 24 49 FE DD 54 4A 37 BE F6 33
0090 | F1 AC 24 8E BA 11 53 BE 74 29 D1 17 EA 4E 75 30
00A0 | 6D BE 5B 3A A9 34 89 57 9B 9B 38 D1 55 36 32 77
00B0 | B9 25 F3 BB E4 F7 1B 48 75 46 8A DA 56 9F 08 7E
00C0 | 9C F1 94 03 D8 29 8A 32 1C 80 BE D8 80 F6 F0 0E
00D0 | 3E 6E C2 BA A6 22 03 41 49 DF 75 70 0E 9D 64 B1
00E0 | F1 B3 5E 55 E7 DE 8E 86 EB 27 A4 7E AF 0C B0 D8
00F0 | 4D 16 35 CB 83 77 76 A9 6F D6 08 C4 20 6F E3 FB
0100 | 0C 8D 2F 57 05 7A 31 D3 5B C2 F8 13 36 74 F4 37
0110 | 52 3B 46 D9 8D 1C 31 92 C6 76 EE 3E CA 5F AA 67
0120 | 5F 64 74 73 07 E0 31 71 1F 3C 90 49 89 72 B9 54
0130 | 84 9D 1D AE 50 6C 3E B1 27 F4 CC 1D CD E3 F8 DA
0140 | 56 5B 9B C5 83 25 35 B2 2C 86 9D F8 5A 1A B6 01
0150 | E5 67 A4 96 91 96 51 41 C4 D2 09 A4 C0 9E AE DC
0160 | A3 ED CC 9B 9E 14 20 FC B1 F6 BE 14 FB 92 42 E6
0170 | BD AA 52 D9 21 19 8B 8B EA 42 20 EE 1B 42 9C 30
0180 | 38 48 DE 6A 66 19 B6 FC 1A 13 C6 A2 EA 37 83 33
0190 | C0 56 D7 F9 0C 0F BD 83 38 6F C5 DB AB E6 64 6D
01A0 | 95 B0 42 71 58 42 84 88 8D A7 4C 55 8D B5 B0 C7
01B0 | CB 59 E8 4F 5E 60 E2 90 C6 D8 09 0A 0E 94 E6 F0
01C0 | F9 7A FD 88 DB 60 FA C8 35 DE 55 2D A4 6B 11 62
01D0 | CB 32 2A 09 A1 B5 39 B5 22 F6 B7 F5 71 E3 31 56
01E0 | 16 25 4B DD 27 F4 E6 92 97 99 9D 97 87 3D 81 7A
01F0 | DC 95 88 B7 BB 2E 5D F2 E6 95 F2 4A BE 6E 68 FE
0200 | F2 C3 88 C9 15 33 C2 DB BF 23 DC F7 B4 32 CA C8
0210 | 39 4F 45 9D 1D 86 74 99 3A 5B 6F AD 2D 01 8F D3
0220 | EA C1 BA 99 D7 F1 B0 E5 02 27 B8 DD EB A1 FD B6
0230 | 9E 7D F0 1A 4E 69 92 7B 95 A4 D4 75 13 E8 C6 F1
0240 | 58 93 A0 6D A5 38 CA 42 A0 7C 15 EB 86 7A 97 6F
0250 | 48 6A 73 57 23 BF 01 D2 68 BF AF D1 00 09 B9 00
0260 | C3 B1 16 52 32 7F 69 E3 EF 33 C7 AE E1 8D EA 27
0270 | 26 14 A7 9F 11 A1 4A C6 B1 3B 03 F1 E7 A4 44 16
0280 | D0 AE C7 D2 75 A6 F6 EA 23 06 6C EC</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 5C D8 27 2C 92 6D 66
0010 | 9C 02 00 00 5C 07 E8 D0 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB E3 02 5A E4 65 D2 31 FF
0030 | DA 4F 25 8A 8C C6 D2 99 FE 50 02 00 2F 42 2F F6
0040 | A0 16 8C F5 20 97 A8 80 2C EB 8D 7A 5B 2D 74 5A
0050 | FE 0E F3 5A 43 4E 89 05 78 32 A8 5F C6 3B 96 82
0060 | 83 CE DE CD 18 86 95 1C 96 1E 8C 2C 14 3F 3D EB
0070 | 11 7A 5F 88 DF F1 E7 02 DC BC FB 02 92 7B B8 8D
0080 | F0 CF A0 3F 89 09 3B EC 3D C1 AF 58 A4 88 A5 2B
0090 | C5 02 0A 92 4A 19 21 06 FA DE A5 B7 FC 43 C5 38
00A0 | CD D8 C5 5F E3 AB E8 56 BB 46 08 84 7D 23 62 99
00B0 | 66 44 EB 2A 77 44 6B A6 B8 56 CC 88 49 CF 70 D5
00C0 | 37 6F 10 0A 62 A3 BE 1F C9 82 A5 F8 00 BD B5 5B
00D0 | 71 4C D5 EA 3A 6B F5 34 74 4C A0 CC D6 8C 76 5A
00E0 | 50 3B 5D 88 64 9A 58 6D 09 D6 28 93 E3 15 A0 4C
00F0 | E4 70 81 B7 B8 5A 62 38 7E F9 A9 1E B6 76 87 82
0100 | E9 3E B8 1C D6 0E 27 DC E0 01 8F 1B 5B 71 62 78
0110 | 21 6D 97 88 2B C2 AC A8 57 DB 46 2C 65 F4 05 18
0120 | FC EA BA F3 0A 53 45 49 11 D4 9D FA 35 E8 DB AE
0130 | 4C 71 4E CE 22 11 3E CE 66 68 15 A2 C6 82 CB 9F
0140 | 55 DB 9B 0C 7D 3F B9 D3 E6 62 CF 7A 8B 08 4D BD
0150 | 84 2B AB AC CA 32 07 AD C0 F8 32 9C 4C 2C 09 03
0160 | 78 F8 BE ED 55 EA 40 38 24 81 62 A2 A5 48 9D 0F
0170 | A0 F6 9D A7 58 46 9F 4B 7F CC F8 88 7C 71 D9 D3
0180 | 07 19 AB 6C E0 79 5E 37 55 A6 A3 38 FF 35 63 6F
0190 | B4 71 5A C3 93 A3 0D 11 DF CD 69 43 48 9C EC 97
01A0 | 62 A8 4B 68 23 F1 3F B3 49 38 F9 D1 90 83 61 78
01B0 | 1D DC FA 3E 75 22 BA 24 0D D7 0A C6 71 48 F6 35
01C0 | F8 E2 E4 14 73 16 DF 86 4E F9 B1 A6 6F B1 9A B3
01D0 | 89 8F 7D AC 4E 64 1F 98 FD 44 55 C5 6D 90 62 B8
01E0 | C9 58 16 BD BE E6 C4 73 6B 85 6A 0C 96 4D 1C 6A
01F0 | 2F E2 86 90 47 7B EB F3 A0 C5 CE 9F FC 1E 1A B7
0200 | 13 60 A7 6F 8F 10 68 76 02 1E A1 3A CE 0A 42 4D
0210 | 8A 5C F6 2B 06 69 C6 0F EA AA BD 7C F5 5A 8A DE
0220 | 71 2F E3 03 A2 F6 4C 62 3F DF 6C 6A 3B 9C 1C AB
0230 | 72 8B B3 AA BC B5 8B FF C9 96 39 22 07 84 F0 8E
0240 | D0 EF 58 B9 7B 90 3D 73 6C 69 7A BC 8C CA D3 37
0250 | 79 8A 6E C0 6F 6D 15 B3 9B D4 C9 D9 B0 58 F1 88
0260 | 00 C0 D2 B4 E5 8F 22 6B DA 33 A4 22 42 84 E7 28
0270 | 63 49 6B C8 52 7F 2F 33 05 14 8D A7 EC 32 72 E1
0280 | C1 8C 5E 06 EE A7 4B D4 4D 08 AF CD</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>server_DH_params_ok#d0e8075c nonce:int128 server_nonce:int128 encrypted_answer:string = Server_DH_Params;</code></pre>
<table class="table">
@ -464,7 +464,7 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>01B02729FD8E6D66</code></td>
<td><code>015CD8272C926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
@ -482,19 +482,19 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_answer</td>
<td>56, 596</td>
<td><code>FE500200AA13E4A4F481E804DAF0185A</code> <code>90C92BF20F4AE47A19CAB48F849FADF6</code> <code>327F74AB2DB5AC6D427B0E5204D07B94</code> <code>9E97C8D92E87638A32B3891E5C99FA1E</code> <code>F11396455FFB9A4344887F4620122449</code> <code>FEDD544A37BEF633F1AC248EBA1153BE</code> <code>7429D117EA4E75306DBE5B3AA9348957</code> <code>9B9B38D155363277B925F3BBE4F71B48</code> <code>75468ADA569F087E9CF19403D8298A32</code> <code>1C80BED880F6F00E3E6EC2BAA6220341</code> <code>49DF75700E9D64B1F1B35E55E7DE8E86</code> <code>EB27A47EAF0CB0D84D1635CB837776A9</code> <code>6FD608C4206FE3FB0C8D2F57057A31D3</code> <code>5BC2F8133674F437523B46D98D1C3192</code> <code>C676EE3ECA5FAA675F64747307E03171</code> <code>1F3C90498972B954849D1DAE506C3EB1</code> <code>27F4CC1DCDE3F8DA565B9BC5832535B2</code> <code>2C869DF85A1AB601E567A49691965141</code> <code>C4D209A4C09EAEDCA3EDCC9B9E1420FC</code> <code>B1F6BE14FB9242E6BDAA52D921198B8B</code> <code>EA4220EE1B429C303848DE6A6619B6FC</code> <code>1A13C6A2EA378333C056D7F90C0FBD83</code> <code>386FC5DBABE6646D95B0427158428488</code> <code>8DA74C558DB5B0C7CB59E84F5E60E290</code> <code>C6D8090A0E94E6F0F97AFD88DB60FAC8</code> <code>35DE552DA46B1162CB322A09A1B539B5</code> <code>22F6B7F571E3315616254BDD27F4E692</code> <code>97999D97873D817ADC9588B7BB2E5DF2</code> <code>E695F24ABE6E68FEF2C388C91533C2DB</code> <code>BF23DCF7B432CAC8394F459D1D867499</code> <code>3A5B6FAD2D018FD3EAC1BA99D7F1B0E5</code> <code>0227B8DDEBA1FDB69E7DF01A4E69927B</code> <code>95A4D47513E8C6F15893A06DA538CA42</code> <code>A07C15EB867A976F486A735723BF01D2</code> <code>68BFAFD10009B900C3B11652327F69E3</code> <code>EF33C7AEE18DEA272614A79F11A14AC6</code> <code>B13B03F1E7A44416D0AEC7D275A6F6EA</code><br> <code>23066CEC</code></td>
<td><code>FE5002002F422FF6A0168CF52097A880</code> <code>2CEB8D7A5B2D745AFE0EF35A434E8905</code> <code>7832A85FC63B968283CEDECD1886951C</code> <code>961E8C2C143F3DEB117A5F88DFF1E702</code> <code>DCBCFB02927BB88DF0CFA03F89093BEC</code> <code>3DC1AF58A488A52BC5020A924A192106</code> <code>FADEA5B7FC43C538CDD8C55FE3ABE856</code> <code>BB4608847D2362996644EB2A77446BA6</code> <code>B856CC8849CF70D5376F100A62A3BE1F</code> <code>C982A5F800BDB55B714CD5EA3A6BF534</code> <code>744CA0CCD68C765A503B5D88649A586D</code> <code>09D62893E315A04CE47081B7B85A6238</code> <code>7EF9A91EB6768782E93EB81CD60E27DC</code> <code>E0018F1B5B716278216D97882BC2ACA8</code> <code>57DB462C65F40518FCEABAF30A534549</code> <code>11D49DFA35E8DBAE4C714ECE22113ECE</code> <code>666815A2C682CB9F55DB9B0C7D3FB9D3</code> <code>E662CF7A8B084DBD842BABACCA3207AD</code> <code>C0F8329C4C2C090378F8BEED55EA4038</code> <code>248162A2A5489D0FA0F69DA758469F4B</code> <code>7FCCF8887C71D9D30719AB6CE0795E37</code> <code>55A6A338FF35636FB4715AC393A30D11</code> <code>DFCD6943489CEC9762A84B6823F13FB3</code> <code>4938F9D1908361781DDCFA3E7522BA24</code> <code>0DD70AC67148F635F8E2E4147316DF86</code> <code>4EF9B1A66FB19AB3898F7DAC4E641F98</code> <code>FD4455C56D9062B8C95816BDBEE6C473</code> <code>6B856A0C964D1C6A2FE28690477BEBF3</code> <code>A0C5CE9FFC1E1AB71360A76F8F106876</code> <code>021EA13ACE0A424D8A5CF62B0669C60F</code> <code>EAAABD7CF55A8ADE712FE303A2F64C62</code> <code>3FDF6C6A3B9C1CAB728BB3AABCB58BFF</code> <code>C99639220784F08ED0EF58B97B903D73</code> <code>6C697ABC8CCAD337798A6EC06F6D15B3</code> <code>9BD4C9D9B058F18800C0D2B4E58F226B</code> <code>DA33A4224284E72863496BC8527F2F33</code> <code>05148DA7EC3272E1C18C5E06EEA74BD4</code><br> <code>4D08AFCD</code></td>
<td>See below</td>
</tr>
</tbody>
@ -502,20 +502,20 @@ random_padding_bytes = 69F4155729696E10344C0DC594D4CCF42BCCA7D9D2986865BB59055B8
<!-- end server_DH_params_ok -->
<p>Decrypt <code>encrypted_answer</code> using the reverse of the process specified in <a href="/mtproto/auth_key#6-server-responds-with">step 6</a>:</p>
<!-- start server_DH_inner_data_input -->
<pre><code>encrypted_answer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
tmp_aes_key = 0BD14FBB6C72F5E59B4F5368B5E03E77226548EEC3E3982248C6420793E21030
tmp_aes_iv = 0F97369690C1BEA33CDF14AC2D6F209F96F7496AB4B35925AD9EB6872F458E33</code></pre>
<pre><code>encrypted_answer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
tmp_aes_key = BDCEDFD7430D9472DBF8537512CE90FC19328E3DFD04886807DEF74CFD121187
tmp_aes_iv = C74A1AE615CBBB87B43F1CF13C5C7F85E8D7B2D73CFFD9DB621BAA065C0D1AF5</code></pre>
<!-- end server_DH_inner_data_input -->
<p>Yielding:</p>
<!-- start server_DH_inner_data_output -->
<pre><code>answer_with_hash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
answer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code></pre>
<pre><code>answer_with_hash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
answer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code></pre>
<!-- end server_DH_inner_data_output -->
<!-- start server_DH_inner_data -->
<p>Generated payload (excluding transport headers/trailers):</p>
<pre><code>0000 | BA 0D 89 B5 A0 7A 5A EC 88 BE AB B1 21 CA 05 C7
0010 | 95 47 49 57 9D EF AA 9F 2F 39 95 32 65 3F 46 E0
0020 | 25 8F D3 07 03 00 00 00 FE 00 01 00 C7 1C AE B9
<pre><code>0000 | BA 0D 89 B5 05 64 65 F4 C5 3A DA 11 5F 68 C4 39
0010 | 92 23 7D FB E3 02 5A E4 65 D2 31 FF DA 4F 25 8A
0020 | 8C C6 D2 99 03 00 00 00 FE 00 01 00 C7 1C AE B9
0030 | C6 B1 C9 04 8E 6C 52 2F 70 F1 3F 73 98 0D 40 23
0040 | 8E 3E 21 C1 49 34 D0 37 56 3D 93 0F 48 19 8A 0A
0050 | A7 C1 40 58 22 94 93 D2 25 30 F4 DB FA 33 6F 6E
@ -531,24 +531,24 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
00F0 | E8 3E BE A0 F8 7F A9 FF 5E ED 70 05 0D ED 28 49
0100 | F4 7B F9 59 D9 56 85 0C E9 29 85 1F 0D 81 15 F6
0110 | 35 B1 05 EE 2E 4E 15 D0 4B 24 54 BF 6F 4F AD F0
0120 | 34 B1 04 03 11 9C D8 E3 B9 2F CC 5B FE 00 01 00
0130 | 32 A3 4B 0D 25 EA 91 D4 CE 46 EB D9 FD 27 93 C2
0140 | 45 A1 29 CA A1 0B EB 70 E5 82 BE 54 7C 86 A0 F5
0150 | F7 20 AE A0 2F 3F 5A 77 3E A5 5F B4 50 D6 36 B6
0160 | E9 CD 68 B8 7B D9 F1 7B 1A 0D 70 4A 82 CB 62 9E
0170 | A4 76 70 40 F4 7D FE B4 EE 33 20 A3 23 32 F0 3C
0180 | 53 8A A9 9D CC 5A 71 DA 3C 13 63 4B F6 61 7E 19
0190 | 4D 7D 3D E3 4A 0C 51 F1 6D E0 1C E3 D9 47 F6 CE
01A0 | E7 B2 C8 9D 40 A8 88 F2 A8 B4 2C BE 45 E5 17 82
01B0 | C4 72 AE ED 84 31 FF 4A 3F 90 EB C1 EB DC 2D 42
01C0 | 2E B4 65 3F F9 C5 99 DE 92 EE 79 66 61 EC 19 AF
01D0 | 6D 58 9F B0 0F 95 F9 1D FF B0 FE F0 37 8F 62 EB
01E0 | 71 EA 6B F3 BA B5 6F F1 AC 0A 78 CA 6B B4 87 C5
01F0 | 21 0B 7A 28 74 98 A5 03 0A D0 66 55 21 01 E3 FD
0200 | DF 5D D4 D1 7E 0F 58 64 4F E6 59 AF 73 F6 EC 59
0210 | 7B D9 77 AB 2B 4A BA 55 2E C9 BF BC 80 2D 96 19
0220 | 74 5E DD 89 DF F4 19 7E EE 48 9B 94 59 BD 7D 69
0230 | FD 8E 6D 66</code></pre>
0120 | 34 B1 04 03 11 9C D8 E3 B9 2F CC 5B FE FF 00 00
0130 | 87 B9 FC 92 54 7F 6E 17 6F 85 DA FD 7F C1 D1 36
0140 | AA CB 99 C5 13 BF 57 BE 1E 95 37 FC 3C 4D 08 A8
0150 | 69 06 9B 55 81 6E 00 3A 95 D9 18 A3 5E 86 AA A4
0160 | 1E 96 1B C6 73 F6 AE 07 25 5B A5 2D 59 DC AE C5
0170 | ED 28 7D 05 A7 CC 10 1D 8E 25 FD 6A A6 29 C4 DA
0180 | 1C 24 39 8D 99 64 49 AF 28 F3 45 20 3A C2 8E C6
0190 | 6C 8B 7C B1 69 06 22 17 A2 A0 AE 39 9F BC 39 58
01A0 | 53 1A 38 98 38 04 42 39 AC 39 9E 1F CB 6A 97 4C
01B0 | 49 7C E2 99 04 F9 C9 73 CB F6 25 8E 57 80 D7 48
01C0 | C6 B3 BC E9 FE E4 CC 90 BD 74 74 52 BF E4 4D C3
01D0 | 91 D1 51 3E CB 7E 5D 06 A6 13 A2 7E 49 40 33 5F
01E0 | E0 7E 2E BF 9F E3 9B 78 B5 E6 1F BF 23 C6 BE C7
01F0 | 02 A0 8C 4F 2C CA 79 1C 62 F3 A4 0B 32 B7 66 1F
0200 | 95 4B 8C AE 60 E2 E8 44 C7 57 B4 03 54 20 46 42
0210 | 1B E8 B9 BD A5 46 0B 04 72 D3 49 9B 18 9C AD E5
0220 | 3D 99 90 B8 68 19 7C 3F 4B 08 01 6D E6 D1 80 00
0230 | 2C 92 6D 66</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>server_DH_inner_data#b5890dba nonce:int128 server_nonce:int128 g:int dh_prime:string g_a:string server_time:int = Server_DH_inner_data;</code></pre>
<table class="table">
@ -570,13 +570,13 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
@ -594,13 +594,13 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
<tr>
<td>g_a</td>
<td>300, 260</td>
<td><code>FE00010032A34B0D25EA91D4CE46EBD9</code> <code>FD2793C245A129CAA10BEB70E582BE54</code> <code>7C86A0F5F720AEA02F3F5A773EA55FB4</code> <code>50D636B6E9CD68B87BD9F17B1A0D704A</code> <code>82CB629EA4767040F47DFEB4EE3320A3</code> <code>2332F03C538AA99DCC5A71DA3C13634B</code> <code>F6617E194D7D3DE34A0C51F16DE01CE3</code> <code>D947F6CEE7B2C89D40A888F2A8B42CBE</code> <code>45E51782C472AEED8431FF4A3F90EBC1</code> <code>EBDC2D422EB4653FF9C599DE92EE7966</code> <code>61EC19AF6D589FB00F95F91DFFB0FEF0</code> <code>378F62EB71EA6BF3BAB56FF1AC0A78CA</code> <code>6BB487C5210B7A287498A5030AD06655</code> <code>2101E3FDDF5DD4D17E0F58644FE659AF</code> <code>73F6EC597BD977AB2B4ABA552EC9BFBC</code> <code>802D9619745EDD89DFF4197EEE489B94</code><br> <code>59BD7D69</code></td>
<td><code>FEFF000087B9FC92547F6E176F85DAFD</code> <code>7FC1D136AACB99C513BF57BE1E9537FC</code> <code>3C4D08A869069B55816E003A95D918A3</code> <code>5E86AAA41E961BC673F6AE07255BA52D</code> <code>59DCAEC5ED287D05A7CC101D8E25FD6A</code> <code>A629C4DA1C24398D996449AF28F34520</code> <code>3AC28EC66C8B7CB169062217A2A0AE39</code> <code>9FBC3958531A389838044239AC399E1F</code> <code>CB6A974C497CE29904F9C973CBF6258E</code> <code>5780D748C6B3BCE9FEE4CC90BD747452</code> <code>BFE44DC391D1513ECB7E5D06A613A27E</code> <code>4940335FE07E2EBF9FE39B78B5E61FBF</code> <code>23C6BEC702A08C4F2CCA791C62F3A40B</code> <code>32B7661F954B8CAE60E2E844C757B403</code> <code>542046421BE8B9BDA5460B0472D3499B</code> <code>189CADE53D9990B868197C3F4B08016D</code><br> <code>E6D18000</code></td>
<td><code>g_a</code> diffie-hellman parameter</td>
</tr>
<tr>
<td>server_time</td>
<td>560, 4</td>
<td><code>FD8E6D66</code> (1718456061 in decimal)</td>
<td><code>2C926D66</code> (1718456876 in decimal)</td>
<td>Server time</td>
</tr>
</tbody>
@ -609,34 +609,34 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
<h5><a class="anchor" href="#7-client-computes-random-2048-bit-number-b-using-a-sufficient-amount-of-entropy-and-sends-the-server-a-message" id="7-client-computes-random-2048-bit-number-b-using-a-sufficient-amount-of-entropy-and-sends-the-server-a-message" name="7-client-computes-random-2048-bit-number-b-using-a-sufficient-amount-of-entropy-and-sends-the-server-a-message"><i class="anchor-icon"></i></a>7) Client computes random 2048-bit number <em>b</em> (using a sufficient amount of entropy) and sends the server a message</h5>
<p>First, generate a secure random 2048-bit number b:</p>
<!-- start b -->
<pre><code>b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code></pre>
<pre><code>b = 44B411B51835D7F146DC9E759F61E533D1EECACF0F69BE2914276A97E81B372C5D8EDBA01731293BE5B772CD56450777CECDC70C4D89E48339570CB8AF41AF141C47656CE6A5317879BA59E1EFDA8CBC1AB9AB74253CD4A3BE490CCED4848272BB35CA14F319A56B421B57CD0B0B0D4A2CBC2B11F7A8E535CC02682BF5E08DD388B6F56CED4DC1FE5FA76FCB7ADFC924FC05096305326550B117764D4E3D77DB408C289C900FB7F846DC154D212EA6F6F528EE55DF57623E454F92680237BEA7F8790A0314035051487FCCD07D6345D9B68FFE034CB1A24D4849CD0EEB08F5F61B90824B8F35D3BEC9631743E4A07E64DFBE8CA881A321B1291F9078E985363F</code></pre>
<!-- end b -->
<p>Then compute <code>g_b = pow(g, b) mod dh_prime</code></p>
<!-- start g_b -->
<pre><code>g_b = 6918A223D2AF18B957F13A58ECC2D2D4E1C695D12FC48C20574D69D9DF647769FD71C7C69DF66F0814178792BDE4BF32EA2CF8208644146C0762509DCD360C22591AC42826B710C192EB3C74C72A49491938A5A9905CF370B54D070B978967A643AAB19FA183E58282F8372A13B40FFB8B5512E5396C8C66442FC3649A30A80FBE258FDC8B90E3552B9C77EFCAB0F2BF5FEDFEE4ABE0CCA4FF51B3F4C66BD5EF636978B97C380BC2DB50A91649C2E75AFBA29B4709075B4C57D4F86FDB1B70B9D536FB0574986E2A7147D864C7776134E62F7864FF675E85320251EBAD57A175377502CA9F4D73C8FDBC13FD5F0218D79D75543D8256BC960CEC12C853027A1D</code></pre>
<pre><code>g_b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code></pre>
<!-- end g_b -->
<h6>7.1) generation of encrypted_data</h6>
<!-- start client_DH_inner_data -->
<p>Generated payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 54 B6 43 66 A0 7A 5A EC 88 BE AB B1 21 CA 05 C7
0010 | 95 47 49 57 9D EF AA 9F 2F 39 95 32 65 3F 46 E0
0020 | 25 8F D3 07 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 69 18 A2 23 D2 AF 18 B9 57 F1 3A 58 EC C2 D2 D4
0040 | E1 C6 95 D1 2F C4 8C 20 57 4D 69 D9 DF 64 77 69
0050 | FD 71 C7 C6 9D F6 6F 08 14 17 87 92 BD E4 BF 32
0060 | EA 2C F8 20 86 44 14 6C 07 62 50 9D CD 36 0C 22
0070 | 59 1A C4 28 26 B7 10 C1 92 EB 3C 74 C7 2A 49 49
0080 | 19 38 A5 A9 90 5C F3 70 B5 4D 07 0B 97 89 67 A6
0090 | 43 AA B1 9F A1 83 E5 82 82 F8 37 2A 13 B4 0F FB
00A0 | 8B 55 12 E5 39 6C 8C 66 44 2F C3 64 9A 30 A8 0F
00B0 | BE 25 8F DC 8B 90 E3 55 2B 9C 77 EF CA B0 F2 BF
00C0 | 5F ED FE E4 AB E0 CC A4 FF 51 B3 F4 C6 6B D5 EF
00D0 | 63 69 78 B9 7C 38 0B C2 DB 50 A9 16 49 C2 E7 5A
00E0 | FB A2 9B 47 09 07 5B 4C 57 D4 F8 6F DB 1B 70 B9
00F0 | D5 36 FB 05 74 98 6E 2A 71 47 D8 64 C7 77 61 34
0100 | E6 2F 78 64 FF 67 5E 85 32 02 51 EB AD 57 A1 75
0110 | 37 75 02 CA 9F 4D 73 C8 FD BC 13 FD 5F 02 18 D7
0120 | 9D 75 54 3D 82 56 BC 96 0C EC 12 C8 53 02 7A 1D</code></pre>
<pre><code>0000 | 54 B6 43 66 05 64 65 F4 C5 3A DA 11 5F 68 C4 39
0010 | 92 23 7D FB E3 02 5A E4 65 D2 31 FF DA 4F 25 8A
0020 | 8C C6 D2 99 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 11 3A 15 E3 F6 03 47 31 2A 76 33 2E 78 F0 F0 7C
0040 | 76 17 EC 55 85 CE B4 05 3E CE CD B2 FC CC F5 46
0050 | 9E 33 0A F8 67 2C 83 25 5B AA 1D DD E1 99 0E A6
0060 | 2A 60 FD 85 B0 66 98 78 FE EA 55 87 EF 10 5E 7D
0070 | 3E A6 79 49 7E C7 D8 E9 8D 87 13 06 F7 F3 4A FC
0080 | 50 CB AF 3A CD C4 16 DA 5D 93 A7 CC C2 01 71 D8
0090 | B7 87 33 15 C3 8E A1 AB F0 7A 12 EF F7 0C 89 72
00A0 | B6 54 7C 10 42 16 F6 AF 12 EA 5B CD C7 96 D1 62
00B0 | 9D 3C C3 24 EE 03 1D F9 E7 8B 12 7F 37 25 67 BC
00C0 | 36 95 44 F5 B6 C1 A0 84 34 52 28 3A D0 49 D2 7E
00D0 | BF 9E 68 A9 0A 1C D7 4A BB 60 5C 22 D7 44 7A 34
00E0 | 78 77 FA D6 19 82 2B 58 54 EC 08 98 BF 95 F4 C7
00F0 | 7F FB 09 74 ED B7 46 07 61 1F E9 F9 DC CC 14 7E
0100 | 3C 4D E7 0C 2F CE C6 17 58 B3 EE 10 A6 B7 3E 4A
0110 | 80 C4 06 F8 32 42 04 F3 DE 8B 44 5F E2 03 14 A8
0120 | 19 77 3C C2 26 8C 79 50 FB 1E 43 A9 E4 4D 35 AF</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>client_DH_inner_data#6643b654 nonce:int128 server_nonce:int128 retry_id:long g_b:string = Client_DH_Inner_Data;</code></pre>
<table class="table">
@ -658,19 +658,19 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>g_b</td>
<td>36, 260</td>
<td><code>FE0001006918A223D2AF18B957F13A58</code> <code>ECC2D2D4E1C695D12FC48C20574D69D9</code> <code>DF647769FD71C7C69DF66F0814178792</code> <code>BDE4BF32EA2CF8208644146C0762509D</code> <code>CD360C22591AC42826B710C192EB3C74</code> <code>C72A49491938A5A9905CF370B54D070B</code> <code>978967A643AAB19FA183E58282F8372A</code> <code>13B40FFB8B5512E5396C8C66442FC364</code> <code>9A30A80FBE258FDC8B90E3552B9C77EF</code> <code>CAB0F2BF5FEDFEE4ABE0CCA4FF51B3F4</code> <code>C66BD5EF636978B97C380BC2DB50A916</code> <code>49C2E75AFBA29B4709075B4C57D4F86F</code> <code>DB1B70B9D536FB0574986E2A7147D864</code> <code>C7776134E62F7864FF675E85320251EB</code> <code>AD57A175377502CA9F4D73C8FDBC13FD</code> <code>5F0218D79D75543D8256BC960CEC12C8</code><br> <code>53027A1D</code></td>
<td><code>FE000100113A15E3F60347312A76332E</code> <code>78F0F07C7617EC5585CEB4053ECECDB2</code> <code>FCCCF5469E330AF8672C83255BAA1DDD</code> <code>E1990EA62A60FD85B0669878FEEA5587</code> <code>EF105E7D3EA679497EC7D8E98D871306</code> <code>F7F34AFC50CBAF3ACDC416DA5D93A7CC</code> <code>C20171D8B7873315C38EA1ABF07A12EF</code> <code>F70C8972B6547C104216F6AF12EA5BCD</code> <code>C796D1629D3CC324EE031DF9E78B127F</code> <code>372567BC369544F5B6C1A0843452283A</code> <code>D049D27EBF9E68A90A1CD74ABB605C22</code> <code>D7447A347877FAD619822B5854EC0898</code> <code>BF95F4C77FFB0974EDB74607611FE9F9</code> <code>DCCC147E3C4DE70C2FCEC61758B3EE10</code> <code>A6B73E4A80C406F8324204F3DE8B445F</code> <code>E20314A819773CC2268C7950FB1E43A9</code><br> <code>E44D35AF</code></td>
<td>Single-byte prefix denoting length, a 256-byte (2048-bit) string, and zero bytes of padding</td>
</tr>
<tr>
@ -684,47 +684,47 @@ answer = BA0D89B5A07A5AEC88BEABB121CA05C7954749579DEFAA9F2F399532653F46E0258FD30
<!-- end client_DH_inner_data -->
<p>The serialization of <em>Client_DH_Inner_Data</em> produces a string <strong>data</strong>. This is used to generate <strong>encrypted_data</strong> as specified in <a href="#7-client-computes-random-2048-bit-number-b-using-a-sufficient-amount-of-entropy-and-sends-the-server-a-message">step 6</a>, using the following inputs:</p>
<!-- start client_DH_inner_data_input -->
<pre><code>data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
padding = 9A9587E9824EAFB2959EDFEE
tmp_aes_key = 0BD14FBB6C72F5E59B4F5368B5E03E77226548EEC3E3982248C6420793E21030
tmp_aes_iv = 0F97369690C1BEA33CDF14AC2D6F209F96F7496AB4B35925AD9EB6872F458E33</code></pre>
<pre><code>data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
padding = EA2C9A01C2F109A81BB0D563
tmp_aes_key = BDCEDFD7430D9472DBF8537512CE90FC19328E3DFD04886807DEF74CFD121187
tmp_aes_iv = C74A1AE615CBBB87B43F1CF13C5C7F85E8D7B2D73CFFD9DB621BAA065C0D1AF5</code></pre>
<!-- end client_DH_inner_data_input -->
<p>Process:</p>
<pre><code>data_with_hash := SHA1(data) + data + padding (0-15 random bytes such that total length is divisible by 16)
encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);</code></pre>
<p>Output:</p>
<!-- start client_DH_inner_data_output -->
<pre><code>encrypted_data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code></pre>
<pre><code>encrypted_data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code></pre>
<!-- end client_DH_inner_data_output -->
<p>The length of the final string is 336 bytes.</p>
<h6>7.2) set_client_DH_params query</h6>
<!-- start set_client_DH_params -->
<p>Sent payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 E0 56 0D 00 FD 8E 6D 66
0010 | 78 01 00 00 1F 5F 04 F5 A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57 9D EF AA 9F 2F 39 95 32
0030 | 65 3F 46 E0 25 8F D3 07 FE 50 01 00 51 65 90 2A
0040 | 5D 34 88 55 AD 4A 5B 90 EB 06 E6 77 90 7D 2C 87
0050 | 54 D8 30 B0 BB B0 13 32 E0 A8 21 98 95 DD D2 8C
0060 | 64 05 BB 6C 80 F6 61 35 51 FC DB 8C 2A 92 80 60
0070 | 91 4E 46 37 17 98 63 B6 B2 12 FB 62 A5 98 59 DA
0080 | 0A F8 7E B1 83 6D EF 45 DC 5A D6 97 15 05 0C A8
0090 | CB 27 17 23 1C E6 27 ED DB 7C 58 B4 88 C5 B1 66
00A0 | A4 D8 6E 2F 70 7A EB 02 E8 9E 25 F3 78 D9 5D BB
00B0 | 12 DC FE C5 D7 AD 46 55 2F 02 AC 7C 10 0D 97 AA
00C0 | AA AB BD 34 53 7E C4 D9 E1 7C 5E 5F 9E 7A 12 F8
00D0 | 03 5F F3 C7 ED 6E 5B 23 F7 93 E1 F4 25 C0 75 4D
00E0 | 1E 80 9C 9F 59 9F F5 46 F1 4A 01 23 06 9E CA 3C
00F0 | 01 23 96 7C 16 5C B4 02 2F FB 8C 10 AF 33 A2 DA
0100 | 26 7C DD 7A 67 D7 EA EF 46 59 14 2A BF 61 6E 82
0110 | 79 14 C4 7E 0A D7 D7 24 59 51 CA 33 29 3D CE 38
0120 | E2 AD 99 A2 72 A3 38 D4 D0 72 9B A0 36 46 FD 22
0130 | 5E EC 13 6B 75 BF 02 EC EE 35 E7 C5 86 ED E2 23
0140 | A7 F6 B8 9E 37 1F F4 11 3A 3C E5 D8 10 22 90 7B
0150 | B7 3A B9 1E DE 25 AB AF 78 DC 00 B6 FE C9 BA 80
0160 | 91 53 57 01 01 AC C7 66 65 5A 17 0F C9 04 A8 8E
0170 | 29 91 F1 85 31 DA F1 89 1F 9A 8A 69 3E 21 43 A2
0180 | BC 31 C4 B8 D2 41 BF 61 6C 73 00 E1</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 D4 B1 0A 00 2C 92 6D 66
0010 | 78 01 00 00 1F 5F 04 F5 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB E3 02 5A E4 65 D2 31 FF
0030 | DA 4F 25 8A 8C C6 D2 99 FE 50 01 00 09 37 40 6E
0040 | 00 8E 05 A2 EC 4F D7 9D EE 3E 25 46 C1 7B 66 5E
0050 | AB 03 34 8E 74 30 9D 69 52 62 E2 80 AC 36 B9 8E
0060 | F6 9F FE CF E5 72 09 13 C4 DC 47 CE D0 BD 28 60
0070 | F9 52 BC BF 37 32 0B 32 D6 FB E0 04 EF C3 A3 10
0080 | 85 1F B4 43 B6 C4 19 02 EB 58 DE F6 68 09 D9 C0
0090 | 73 0C 04 C7 5F 5C B2 A0 59 B9 3F E1 24 9F AF D2
00A0 | 06 73 AF D8 A5 F3 0C 68 4B 6C ED 4F 84 E4 D0 2E
00B0 | 01 7C 15 B5 74 07 AC 12 E3 C3 C3 87 8D 67 48 0C
00C0 | FC C3 86 AA 5E 4F F4 1A 4F 9A 37 A1 27 96 1F 17
00D0 | D4 AB 70 6B E1 7D 80 54 DB 8B E3 5B 71 CF 67 20
00E0 | 84 07 58 E0 A9 4E B8 FD EF E5 31 9F 74 C3 56 E7
00F0 | 11 11 25 9C 79 8F FB FD 9D 9B 8A 25 0B F2 E1 D6
0100 | A8 27 E6 A9 83 D9 2B AA FE AE 68 73 3E 12 40 91
0110 | AE 79 F7 93 83 20 4C C9 7C 44 E9 97 B5 C8 67 F5
0120 | 55 B6 BD D9 23 F0 18 72 57 11 9C 09 EA C1 B1 89
0130 | 4E 9E B4 E6 F7 92 5B B1 01 FC 28 55 EB 1B 0D 7D
0140 | 3E E3 F3 97 1D 3D 06 F3 4E 24 0B A1 3B B8 C2 A0
0150 | 67 C2 63 13 25 76 91 29 B1 81 88 8B 28 24 A7 D7
0160 | E2 57 DD 51 57 C7 A7 E5 F8 D7 E6 D1 EC 55 CA BA
0170 | 6D 5B 7A DA 40 BF 31 E7 46 EF B7 91 77 4F 4B 0E
0180 | A1 51 43 76 C7 58 27 E3 40 BB B8 93</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>set_client_DH_params#f5045f1f nonce:int128 server_nonce:int128 encrypted_data:string = Set_client_DH_params_answer;</code></pre>
<table class="table">
@ -746,7 +746,7 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>E0560D00FD8E6D66</code></td>
<td><code>D4B10A002C926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
@ -764,19 +764,19 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_data</td>
<td>56, 340</td>
<td><code>FE5001005165902A5D348855AD4A5B90</code> <code>EB06E677907D2C8754D830B0BBB01332</code> <code>E0A8219895DDD28C6405BB6C80F66135</code> <code>51FCDB8C2A928060914E4637179863B6</code> <code>B212FB62A59859DA0AF87EB1836DEF45</code> <code>DC5AD69715050CA8CB2717231CE627ED</code> <code>DB7C58B488C5B166A4D86E2F707AEB02</code> <code>E89E25F378D95DBB12DCFEC5D7AD4655</code> <code>2F02AC7C100D97AAAAABBD34537EC4D9</code> <code>E17C5E5F9E7A12F8035FF3C7ED6E5B23</code> <code>F793E1F425C0754D1E809C9F599FF546</code> <code>F14A0123069ECA3C0123967C165CB402</code> <code>2FFB8C10AF33A2DA267CDD7A67D7EAEF</code> <code>4659142ABF616E827914C47E0AD7D724</code> <code>5951CA33293DCE38E2AD99A272A338D4</code> <code>D0729BA03646FD225EEC136B75BF02EC</code> <code>EE35E7C586EDE223A7F6B89E371FF411</code> <code>3A3CE5D81022907BB73AB91EDE25ABAF</code> <code>78DC00B6FEC9BA809153570101ACC766</code> <code>655A170FC904A88E2991F18531DAF189</code> <code>1F9A8A693E2143A2BC31C4B8D241BF61</code><br> <code>6C7300E1</code></td>
<td><code>FE5001000937406E008E05A2EC4FD79D</code> <code>EE3E2546C17B665EAB03348E74309D69</code> <code>5262E280AC36B98EF69FFECFE5720913</code> <code>C4DC47CED0BD2860F952BCBF37320B32</code> <code>D6FBE004EFC3A310851FB443B6C41902</code> <code>EB58DEF66809D9C0730C04C75F5CB2A0</code> <code>59B93FE1249FAFD20673AFD8A5F30C68</code> <code>4B6CED4F84E4D02E017C15B57407AC12</code> <code>E3C3C3878D67480CFCC386AA5E4FF41A</code> <code>4F9A37A127961F17D4AB706BE17D8054</code> <code>DB8BE35B71CF6720840758E0A94EB8FD</code> <code>EFE5319F74C356E71111259C798FFBFD</code> <code>9D9B8A250BF2E1D6A827E6A983D92BAA</code> <code>FEAE68733E124091AE79F79383204CC9</code> <code>7C44E997B5C867F555B6BDD923F01872</code> <code>57119C09EAC1B1894E9EB4E6F7925BB1</code> <code>01FC2855EB1B0D7D3EE3F3971D3D06F3</code> <code>4E240BA13BB8C2A067C2631325769129</code> <code>B181888B2824A7D7E257DD5157C7A7E5</code> <code>F8D7E6D1EC55CABA6D5B7ADA40BF31E7</code> <code>46EFB791774F4B0EA1514376C75827E3</code><br> <code>40BBB893</code></td>
<td>Encrypted client_DH_inner_data generated previously, serialized as a TL byte string</td>
</tr>
</tbody>
@ -785,17 +785,17 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
<h5><a class="anchor" href="#8-auth-key-generation" id="8-auth-key-generation" name="8-auth-key-generation"><i class="anchor-icon"></i></a>8) Auth key generation</h5>
<p>The client computes the auth_key using formula <code>g_a^b mod dh_prime</code>:</p>
<!-- start auth_key -->
<pre><code>auth_key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code></pre>
<pre><code>auth_key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code></pre>
<!-- end auth_key -->
<h5><a class="anchor" href="#9-final-server-reply" id="9-final-server-reply" name="9-final-server-reply"><i class="anchor-icon"></i></a>9) Final server reply</h5>
<p>The server verifies and confirms that auth_key_hash is unique: since it's unique, it replies with the following:</p>
<!-- start dh_gen_ok -->
<p>Received payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 E8 89 EF FD 8E 6D 66
0010 | AC 00 00 00 34 F7 CB 3B A0 7A 5A EC 88 BE AB B1
0020 | 21 CA 05 C7 95 47 49 57 9D EF AA 9F 2F 39 95 32
0030 | 65 3F 46 E0 25 8F D3 07 F8 B6 22 0A A1 C4 19 E4
0040 | 8F A2 0A 26 F4 45 3B 73</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 F8 30 15 2D 92 6D 66
0010 | 50 00 00 00 34 F7 CB 3B 05 64 65 F4 C5 3A DA 11
0020 | 5F 68 C4 39 92 23 7D FB E3 02 5A E4 65 D2 31 FF
0030 | DA 4F 25 8A 8C C6 D2 99 ED BD 5A 64 3B 83 89 E5
0040 | 6E 95 22 D2 24 20 47 DF</code></pre>
<p>Payload (de)serialization:</p>
<pre><code>dh_gen_ok#3bcbf734 nonce:int128 server_nonce:int128 new_nonce_hash1:int128 = Set_client_DH_params_answer;</code></pre>
<table class="table">
@ -817,13 +817,13 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>01E889EFFD8E6D66</code></td>
<td><code>01F830152D926D66</code></td>
<td>Message ID generated as specified <a href="/mtproto/description#message-identifier-msg-id">here »</a> (unixtime() &lt;&lt; 32) + (N*4)</td>
</tr>
<tr>
<td>message_length</td>
<td>16, 4</td>
<td><code>AC000000</code> (172 in decimal)</td>
<td><code>50000000</code> (80 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -835,19 +835,19 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>A07A5AEC88BEABB121CA05C795474957</code></td>
<td><code>056465F4C53ADA115F68C43992237DFB</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>9DEFAA9F2F399532653F46E0258FD307</code></td>
<td><code>E3025AE465D231FFDA4F258A8CC6D299</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce_hash1</td>
<td>56, 16</td>
<td><code>F8B6220AA1C419E48FA20A26F4453B73</code></td>
<td><code>EDBD5A643B8389E56E9522D2242047DF</code></td>
<td>The 128 lower-order bits of SHA1 of the byte string derived from the <code>new_nonce</code> string by adding a single byte with the value of 1, 2, or 3, and followed by another 8 bytes with <code>auth_key_aux_hash</code>. Different values are required to prevent an intruder from changing server response dh_gen_ok into dh_gen_retry.</td>
</tr>
</tbody>

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