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commit d0502c9848
4 changed files with 217 additions and 213 deletions

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@ -74,7 +74,9 @@ Methods that can be called by bots will have a <strong>Bots can use this method<
<h3><a class="anchor" href="#attachment-menu-" id="attachment-menu-" name="attachment-menu-"><i class="anchor-icon"></i></a><a href="/api/bots/attach">Attachment menu »</a></h3>
<p>Bots can install attachment menu entries, offering conveniently accessible, versatile web apps.</p>
<h3><a class="anchor" href="#business-bots-" id="business-bots-" name="business-bots-"><i class="anchor-icon"></i></a><a href="/api/business#connected-bots">Business bots »</a></h3>
<p>Business users can connect Telegram bots that will process and answer messages <strong>on their behalf</strong>. This allows businesses to <strong>seamlessly integrate</strong> any existing tools and workflows, or add <strong>AI assistants</strong> that manage their chats.</p></div>
<p>Business users can connect Telegram bots that will process and answer messages <strong>on their behalf</strong>. This allows businesses to <strong>seamlessly integrate</strong> any existing tools and workflows, or add <strong>AI assistants</strong> that manage their chats. </p>
<h3><a class="anchor" href="#bot-api-dialog-ids" id="bot-api-dialog-ids" name="bot-api-dialog-ids"><i class="anchor-icon"></i></a><a href="/api/bots/ids">Bot API dialog IDs</a></h3>
<p>How to convert MTProto peer IDs to bot API dialog IDs and vice versa.</p></div>
</div>

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@ -44,9 +44,10 @@
<div id="dev_page_content"><!-- scroll_nav -->
<p>The <code>id</code> field of <a href="/api/peers">peers »</a> (i.e. users, chats, channels) contain three distinct sequences of unique 64-bit IDs used to identify a specific user, chat or channel. </p>
<p>The ID sequences of users, chats and channels <strong>overlap</strong>, so it is a good idea to transform the peer IDs to bot API dialog IDs as specified below. </p>
<p>A bot API dialog ID is a single, unique 64-bit peer ID sequence derived from the user, chat and channel ID sequences, maintaining uniqueness across all of them. </p>
<p>The <code>id</code> field of <a href="/api/peers">peers »</a> (i.e. users, chats, channels, secret chats) contain four distinct sequences of unique 64-bit IDs used to identify a specific user, chat, channel or secret chat. </p>
<p>The ID sequences of users, chats, channels and secret chats <strong>overlap</strong>, so it is a good idea to transform the peer IDs to bot API dialog IDs as specified below. </p>
<p>A bot API dialog ID is a single, unique 64-bit peer ID sequence derived from the user, chat, channel and secret chat ID sequences, maintaining uniqueness across all of them.<br>
Bot API dialog IDs are already used in the <a href="/bots/api">bot API</a> and in the underlying <a href="https://github.com/tdlib/td">tdlib</a> library to identify peers. </p>
<p>As specified above, a bot API dialog ID may have more than 32 significant bits and some programming languages may have difficulty/silent defects in interpreting it. But, thanks to the ranges of the underlying MTProto IDs (specified below), it has at most 52 significant bits, so a 64-bit integer or even a double-precision float type are safe for storing this identifier. </p>
<p>More specifically, a bot API dialog ID ranges from <code>-2002147483648</code> to <code>1099511627775</code>. </p>
<p>It's a good idea to transform peer IDs to bot dialog API IDs even if you do decide to use separate databases to <a href="/api/peers">store info about peers</a>, as it will make IDs more visually recognizable both for you and your users, as well as guarantee compatibility with the bot API, and allow your client to easily identify the type of a peer just by using its ID, thanks to the range checks specified below.</p>
@ -69,11 +70,12 @@ $chatId = -$botApiChatId;</code></pre>
<pre><code>$botApiChannelId = -(1000000000000 + $channelId);
$channelId = -$botApiChannelId - 1000000000000;</code></pre>
<h3><a class="anchor" href="#secret-chat-ids" id="secret-chat-ids" name="secret-chat-ids"><i class="anchor-icon"></i></a>Secret chat IDs</h3>
<p><a href="/api/end-to-end">Secret chat IDs</a> in the MTProto API range from <code>-2147483648</code> to <code>2147483647</code> (inclusive, treat the secret chat ID as a signed 32-bit integer). </p>
<p><a href="/api/end-to-end">Secret chat IDs</a> in the MTProto API range from <code>-2147483648</code> to <code>2147483647</code> (inclusive, treat the secret chat ID as a signed little-endian 32-bit integer). </p>
<p>To convert MTProto chat IDs to bot API chat secret chat IDs, subtract <code>2000000000000</code>. </p>
<p>Before conversion, always validate that they fall within the range specified above (appropriately transformed for bot API secret chat dialog IDs, i.e. <code>-2002147483648</code> to <code>-1997852516353</code> inclusively). </p>
<pre><code>$botApiSecretChatId = $secretChatId - 2000000000000;
$secretChatId = $botApiSecretChatId + 2000000000000;</code></pre></div>
$secretChatId = $botApiSecretChatId + 2000000000000;</code></pre>
<p>Note: while the official instance of the bot API does not support secret chats, the underlying <a href="https://github.com/tdlib/td/">tdlib</a> library does support them, and uses the format mentioned above for secret chat IDs.</p></div>
</div>

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@ -156,7 +156,7 @@
<tr>
<td><strong>premium</strong></td>
<td style="text-align: center;"><a href="/mtproto/TL-combinators#conditional-fields">flags</a>.28?<a href="/constructor/true">true</a></td>
<td>Whether this user is a Telegram Premium user <br>Changes to this flag should invalidate the local <a href="/constructor/userFull">userFull</a> cache for this user ID. <br>Changes to this flag if the <code>self</code> flag is set should also trigger the following calls, to refresh the respective caches: <br>- <a href="/method/help.getConfig">help.getConfig</a> <br>- <a href="/method/messages.getTopReactions">messages.getTopReactions</a> if the <code>bot</code> flag is <strong>not</strong> set</td>
<td>Whether this user is a Telegram Premium user <br>Changes to this flag should invalidate the local <a href="/constructor/userFull">userFull</a> cache for this user ID. <br>Changes to this flag if the <code>self</code> flag is set should also trigger the following calls, to refresh the respective caches: <br>- The <a href="/method/help.getConfig">help.getConfig</a> cache <br>- The <a href="/method/messages.getTopReactions">messages.getTopReactions</a> cache if the <code>bot</code> flag is <strong>not</strong> set</td>
</tr>
<tr>
<td><strong>attach_menu_enabled</strong></td>

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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 14 6F 0E 00 45 49 A1 66
0010 | 14 00 00 00 F1 8E 7E BE C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 1C DF 07 00 6D 4C A1 66
0010 | 14 00 00 00 F1 8E 7E BE 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46</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>146F0E004549A166</code></td>
<td><code>1CDF07006D4CA166</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>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</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 D4 D3 1E 45 49 A1 66
0010 | C8 00 00 00 63 24 16 05 C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B
0030 | EF 21 FB BF 00 90 7E FF 08 26 4C BF 7C 87 82 6D
0040 | C3 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 54 82 F4 6D 4C A1 66
0010 | BC 00 00 00 63 24 16 05 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46 91 81 A5 0F 01 24 0C A8
0030 | 58 79 08 6C 85 0C 6C 58 08 1F 93 90 C2 6C D9 D8
0040 | E5 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>01D4D31E4549A166</code></td>
<td><code>015482F46D4CA166</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>C8000000</code> (200 in decimal)</td>
<td><code>BC000000</code> (188 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -150,19 +150,19 @@
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Server-generated random number</td>
</tr>
<tr>
<td>pq</td>
<td>56, 12</td>
<td><code>08264CBF7C87826DC3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2759791213241593283</td>
<td><code>081F9390C26CD9D8E5000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2275321401476503781</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 = 2759791213241593283</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2759791213241593283 = 1506452021 * 1831980823</code></p>
<pre><code>p = 1506452021
q = 1831980823</code></pre>
<pre><code>pq = 2275321401476503781</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2275321401476503781 = 1239149183 * 1836196507</code></p>
<pre><code>p = 1239149183
q = 1836196507</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 26 4C BF 7C 87 82 6D C3 00 00 00
0010 | 04 59 CA A2 35 00 00 00 04 6D 31 CF 17 00 00 00
0020 | C3 FA 31 68 7F B1 4A FE 6E BB 7B F5 D8 7B 57 4C
0030 | 93 54 8E 81 C9 C9 93 7B EF 21 FB BF 00 90 7E FF
0040 | 8E 82 B2 E5 69 2C 07 17 41 E1 46 76 3E CD 3E DB
0050 | 60 1C B7 6C 66 70 C6 99 46 11 C8 5E 20 42 1F 99
<pre><code>0000 | 95 5F F5 A9 08 1F 93 90 C2 6C D9 D8 E5 00 00 00
0010 | 04 49 DB EA 7F 00 00 00 04 6D 72 22 9B 00 00 00
0020 | 63 87 AF ED 66 02 EE C4 BE 34 FF AB CB 78 31 46
0030 | 91 81 A5 0F 01 24 0C A8 58 79 08 6C 85 0C 6C 58
0040 | 5E 49 3C EC F0 53 CD 5D B9 A4 CF CF 43 9E 30 1B
0050 | 7D D6 65 88 10 55 C1 AB 0D 63 D0 A9 7E 76 57 63
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 = 1831980823</code></pre>
<tr>
<td>pq</td>
<td>4, 12</td>
<td><code>08264CBF7C87826DC3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2759791213241593283</td>
<td><code>081F9390C26CD9D8E5000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2275321401476503781</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>0459CAA235000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1506452021</td>
<td><code>0449DBEA7F000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1239149183</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>046D31CF17000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1831980823</td>
<td><code>046D72229B000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1836196507</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>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>48, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce</td>
<td>64, 32</td>
<td><code>8E82B2E5692C071741E146763ECD3EDB</code> <code>601CB76C6670C6994611C85E20421F99</code></td>
<td><code>5E493CECF053CD5DB9A4CFCF439E301B</code> <code>7DD665881055C1AB0D63D0A97E765763</code></td>
<td>Client-generated random number</td>
</tr>
<tr>
@ -291,39 +291,39 @@ q = 1831980823</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 = 955FF5A908264CBF7C87826DC30000000459CAA235000000046D31CF17000000C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EFF8E82B2E5692C071741E146763ECD3EDB601CB76C6670C6994611C85E20421F9902000000
random_padding_bytes = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915F9CB47068A3C6872388CAF63EFFE9FA7676AE2D87D05E5F0A5BC3467935B59F24414D219C5436AC0F3BEC1F512233FACB9623FB6A73074692E31A0672923F65</code></pre>
<pre><code>data = 955FF5A9081F9390C26CD9D8E50000000449DBEA7F000000046D72229B0000006387AFED6602EEC4BE34FFABCB7831469181A50F01240CA85879086C850C6C585E493CECF053CD5DB9A4CFCF439E301B7DD665881055C1AB0D63D0A97E76576302000000
random_padding_bytes = 0698269139B02028B47DE71A40CD62C1A289DADF0EAD34F3C433FD23A0620195304EB11ACC6A85FAFC827A9E91280C61523CDF0FF3AC654E2F06FD60D2FFEB4D921ABF6131D3B8C652ABAAEFDF1F3FCEC5FA060C99B13498891F0F89</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 18 6F 0E 00 45 49 A1 66
0010 | 40 01 00 00 BE E4 12 D7 C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B
0030 | EF 21 FB BF 00 90 7E FF 04 59 CA A2 35 00 00 00
0040 | 04 6D 31 CF 17 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 06 03 22 C1 72 A8 3B C1 2C FE 35 E0
0060 | 76 06 AB 8D 66 67 1F EF 50 26 55 CD 9F 07 10 05
0070 | 6C 1F 0D 1E CC 01 C4 52 43 FF F3 60 9A 97 B1 33
0080 | 56 87 D4 E8 2D B6 80 B9 A4 C7 1B 3F C0 E0 CD F2
0090 | F1 68 0B 60 4A FE 0B DE 34 A8 D4 3C D1 A5 2D 4D
00A0 | 71 44 FF 87 48 21 41 F4 B9 6B 39 02 16 48 3D BF
00B0 | 7D 39 3F 50 2E D1 48 BB 03 0D 46 3B 52 46 4E 66
00C0 | 89 E2 80 CF 60 2D C7 A5 37 0A D9 AC 44 07 EE A6
00D0 | 50 FA 63 14 31 B3 2B 92 38 12 26 A1 71 22 CF D0
00E0 | 63 C7 B6 87 D3 A5 BB AA 12 0E 23 4B 89 18 24 D7
00F0 | 20 38 1E 74 32 97 EE F9 FE 34 D2 8D E8 2F 50 6A
0100 | D2 FE D7 84 04 AB 7A 27 C6 DF 81 AD CD B7 97 C3
0110 | EE A3 31 C6 88 37 00 DA C0 E4 66 B7 7D F3 68 12
0120 | F1 4A 37 F9 5A 61 7C 96 C9 C3 19 AE ED 1D 68 DA
0130 | 23 03 EA FB 4E FA A2 BD 36 51 7B C0 44 F1 0C 5C
0140 | 2C 8E CF 5A 29 17 FD FF 06 EB E9 C4 A4 BE 41 2D
0150 | 32 1A ED C1</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 F0 28 0E 00 6E 4C A1 66
0010 | 40 01 00 00 BE E4 12 D7 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46 91 81 A5 0F 01 24 0C A8
0030 | 58 79 08 6C 85 0C 6C 58 04 49 DB EA 7F 00 00 00
0040 | 04 6D 72 22 9B 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 87 31 29 1C DD 55 13 22 0A 82 62 6E
0060 | 9B E5 FF BE 1F 76 0F 72 AA 6D 27 7B E8 3F 21 32
0070 | B0 73 4E 46 B5 18 AA DF 0A C8 E2 34 8E 1C CC 34
0080 | 74 C7 F6 F7 2C 48 74 B2 31 3D CF 8F 5E 40 C9 78
0090 | B3 31 7D B3 08 72 B4 28 DE 70 FA 63 17 DA 06 8B
00A0 | 31 C4 28 41 4A D0 3B 8A CE 80 D2 22 A4 8E A4 AE
00B0 | A9 3D 1A AB 7B 98 B3 68 20 D6 87 23 F2 11 0B EB
00C0 | EF A5 6E EE E1 98 92 26 A9 02 E2 D0 A7 11 6D 1F
00D0 | 90 E1 CD BB E7 35 C8 59 48 FD 12 AA 01 0E 94 A6
00E0 | B8 CA 76 B6 41 ED A7 D8 15 71 26 0D 9B 68 D1 C8
00F0 | DD 23 D3 87 52 55 DF EC 41 C9 0B 7F D0 0D 08 FD
0100 | F4 C1 FF 4E B9 10 63 D5 17 90 FE 3F 3B 96 E6 FE
0110 | 94 76 D0 76 A1 EC B5 5E 7E D1 B9 22 13 53 B9 EA
0120 | DD BD B1 E7 1C BD E9 E0 8B 12 11 35 5C BE FD 12
0130 | D6 35 03 61 51 5C BC F4 99 1A 28 0A 40 AD 95 A5
0140 | F6 F7 3D C2 46 58 58 0F FD 89 F2 9B 65 D5 FD C0
0150 | 67 7F 33 3E</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 = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>186F0E004549A166</code></td>
<td><code>F0280E006E4CA166</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 = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>p</td>
<td>56, 8</td>
<td><code>0459CAA235000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1506452021</td>
<td><code>0449DBEA7F000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1239149183</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>046D31CF17000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1831980823</td>
<td><code>046D72229B000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1836196507</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 = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<tr>
<td>encrypted_data</td>
<td>80, 260</td>
<td><code>FE000100060322C172A83BC12CFE35E0</code> <code>7606AB8D66671FEF502655CD9F071005</code> <code>6C1F0D1ECC01C45243FFF3609A97B133</code> <code>5687D4E82DB680B9A4C71B3FC0E0CDF2</code> <code>F1680B604AFE0BDE34A8D43CD1A52D4D</code> <code>7144FF87482141F4B96B390216483DBF</code> <code>7D393F502ED148BB030D463B52464E66</code> <code>89E280CF602DC7A5370AD9AC4407EEA6</code> <code>50FA631431B32B92381226A17122CFD0</code> <code>63C7B687D3A5BBAA120E234B891824D7</code> <code>20381E743297EEF9FE34D28DE82F506A</code> <code>D2FED78404AB7A27C6DF81ADCDB797C3</code> <code>EEA331C6883700DAC0E466B77DF36812</code> <code>F14A37F95A617C96C9C319AEED1D68DA</code> <code>2303EAFB4EFAA2BD36517BC044F10C5C</code> <code>2C8ECF5A2917FDFF06EBE9C4A4BE412D</code><br> <code>321AEDC1</code></td>
<td><code>FE0001008731291CDD5513220A82626E</code> <code>9BE5FFBE1F760F72AA6D277BE83F2132</code> <code>B0734E46B518AADF0AC8E2348E1CCC34</code> <code>74C7F6F72C4874B2313DCF8F5E40C978</code> <code>B3317DB30872B428DE70FA6317DA068B</code> <code>31C428414AD03B8ACE80D222A48EA4AE</code> <code>A93D1AAB7B98B36820D68723F2110BEB</code> <code>EFA56EEEE1989226A902E2D0A7116D1F</code> <code>90E1CDBBE735C85948FD12AA010E94A6</code> <code>B8CA76B641EDA7D81571260D9B68D1C8</code> <code>DD23D3875255DFEC41C90B7FD00D08FD</code> <code>F4C1FF4EB91063D51790FE3F3B96E6FE</code> <code>9476D076A1ECB55E7ED1B9221353B9EA</code> <code>DDBDB1E71CBDE9E08B1211355CBEFD12</code> <code>D6350361515CBCF4991A280A40AD95A5</code> <code>F6F73DC24658580FFD89F29B65D5FDC0</code><br> <code>677F333E</code></td>
<td>Value generated above</td>
</tr>
</tbody>
@ -402,47 +402,47 @@ random_padding_bytes = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<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 F4 47 F4 45 49 A1 66
0010 | C0 02 00 00 5C 07 E8 D0 C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B
0030 | EF 21 FB BF 00 90 7E FF FE 50 02 00 6A 39 36 56
0040 | 63 7B 0E 06 03 AF 89 0D A2 16 7E 32 E3 ED 23 8B
0050 | 94 56 8C AB 84 8C 88 89 62 43 98 C3 71 35 7C A7
0060 | F7 8B 33 67 90 C7 3C BB FB 49 0D C2 38 0C 7A F4
0070 | 9E 6D E4 0D D6 2A 24 AF 73 0F 13 9B 71 F8 FF D9
0080 | 73 43 06 59 76 83 86 AE 23 05 46 96 D4 FD E3 E5
0090 | 9D 9D 7D 89 A0 0A 6C 25 FF B3 F5 BF CE 9B 0D 7C
00A0 | 4C F1 36 48 86 91 F9 48 0C B4 9B FA 85 DF 22 6E
00B0 | CE 7D 31 27 88 55 A7 B5 24 E4 25 6C 08 AE 14 2B
00C0 | 14 43 42 63 3F 4B 27 A8 78 A0 7E 78 08 CF E6 57
00D0 | 18 73 7F 75 21 B4 0D BF 7B 6B 43 C8 50 4B 96 8C
00E0 | F1 7A F4 3C F9 85 71 E2 DA 71 82 D3 09 6F 68 3F
00F0 | BC 23 0E D7 55 FA 0C 35 8F E5 13 77 08 CF CD DE
0100 | F4 0B FA 49 56 1E CE 35 32 F9 13 54 90 D9 B0 8E
0110 | 33 9E FE D4 63 89 D8 54 4B 99 C5 73 60 72 96 83
0120 | 0A EB B6 FC F8 E0 38 75 A9 10 AE 1D 7F 86 5A A1
0130 | 34 9A F5 4D 3C 43 9A 8E 2E 65 39 71 53 02 BD 2F
0140 | 1E 3E 7F 72 E9 71 17 24 DE B9 69 FA D6 7F 12 C7
0150 | 7C AC C1 31 D0 F9 79 31 38 CA DA B8 AA 37 8C DD
0160 | 30 8C D5 F8 16 77 F4 61 69 B1 33 9F A8 2B 0B 22
0170 | 6E 1E 0A F6 8F E7 83 66 97 F6 D0 4A E7 41 A8 BE
0180 | C2 93 EE E7 13 DA D1 90 4E A3 AE D9 96 D2 B7 45
0190 | 51 0C B5 1B 4E 9F 4B 28 39 8E 18 9A AF E7 DC 04
01A0 | 61 C7 EC 37 50 17 88 69 41 DA 19 A4 46 CD 45 0C
01B0 | 9A 10 70 F3 4C 5F E7 58 94 A9 55 54 13 26 88 1B
01C0 | C0 60 9E B2 2D 83 E3 26 CE 0F 42 ED 0C 4E 25 E9
01D0 | 4D 57 6A 51 43 A8 49 92 57 E2 7F 27 04 C1 CF 2E
01E0 | 43 F7 72 35 31 DF F0 90 26 A3 94 3D F1 C8 72 F2
01F0 | 58 4B 4E 50 F0 F8 2F 70 6E 9C CE B5 43 F5 80 7C
0200 | 60 90 F5 9A 5C 17 11 AD 4D 15 F4 2B 35 5E 4D B2
0210 | 91 21 64 08 97 C0 E5 BA C1 6A C7 D7 B2 92 FF 4B
0220 | 0B 39 32 9F 75 A5 2F 12 6F 47 8D DB 61 07 3B 85
0230 | AD 16 35 6C E6 2C C6 EE EC 25 B6 B2 DA E3 6D 36
0240 | 9E 14 F2 55 B6 86 A5 A6 5C 89 B9 24 0F D4 80 AA
0250 | A3 09 64 3E D8 78 73 F1 B8 C7 6C 4D EA D3 2B 9B
0260 | 7D B2 EB 19 75 E3 22 B4 0B 13 35 D3 36 A2 A6 1D
0270 | AF BD FC 5D 08 97 D2 FD 53 2E 31 29 99 1E C3 B5
0280 | 67 2E 75 EF 49 74 62 00 36 7F 59 E6</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 34 21 96 6E 4C A1 66
0010 | 78 02 00 00 5C 07 E8 D0 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46 91 81 A5 0F 01 24 0C A8
0030 | 58 79 08 6C 85 0C 6C 58 FE 50 02 00 24 D0 29 7F
0040 | B1 57 8E B5 7D 1B B0 90 DE 7D DB B0 84 CE B3 3A
0050 | 48 CA 1A 7C D1 BD 38 AD B0 E7 CE 35 DE 20 7C 03
0060 | 85 51 82 7B B7 A3 8A F8 53 88 AA A9 B6 4C 8A 7F
0070 | 28 E6 A0 B7 4A FE BD EB 11 91 1A 19 C7 7F 68 55
0080 | 1F B0 BB 18 C2 B6 04 2E A0 44 3D 17 C7 59 A0 0F
0090 | 88 E1 B9 19 D5 F6 13 61 72 75 C4 F7 14 B7 E3 E4
00A0 | 2C 13 46 CF 37 CF B7 E4 05 DC 83 52 21 DC 3B 8D
00B0 | B4 FE CE 96 06 3C 5E B4 95 ED 1B 1D A2 A4 80 F4
00C0 | A1 F2 7C 28 5E 81 76 C4 18 8A 28 3A 0F 0B EE F9
00D0 | 09 3A 05 8F 3F 69 09 1C 39 E6 66 F0 97 BD 0B B2
00E0 | AE 47 BC 46 CC EB 1B 95 6C 51 00 18 F6 27 D6 2C
00F0 | 70 D2 B7 2B AC 7B 0B DC CE 18 7C 32 6D 66 45 8E
0100 | E2 2E 63 15 9B E2 C1 A2 F7 75 63 D7 C3 F2 0F E8
0110 | 88 FA FB B6 7B CB 18 BB AD 5B 49 18 48 D5 3B A9
0120 | D8 4C D4 B8 31 F6 7F 44 7B DC 68 6C 9E B7 EE 7B
0130 | 17 C9 C0 0D 42 6F C4 FB 12 7C D1 4D B4 2B F7 EA
0140 | 05 2E D1 5D 9D 5E DF 2F C0 6A F1 75 B3 28 E6 A5
0150 | 3A A6 B5 32 07 80 74 6C 7C 81 1A 50 23 5D E7 E3
0160 | 5D 08 E4 4D 52 2C 4A 17 63 B6 84 89 BD A3 6F B7
0170 | F6 0B FE 17 43 02 DC 72 50 DC 0F 0C 9A 8A 2A A9
0180 | 65 2B DE 11 56 92 08 B8 24 53 9A 95 4C 12 EE 41
0190 | C0 89 2D 80 E4 43 E2 0B E2 4A B3 65 76 F6 8C 67
01A0 | CC 90 36 0E 85 FC C1 92 55 2D C4 23 F6 BA 11 65
01B0 | F2 23 78 F8 B3 92 91 5F 89 1E DC 57 C1 5B 64 AC
01C0 | 0B EF 3F 4E 07 5F 9C 4B EE FB 9A 4E F3 0E EB 4A
01D0 | 82 03 EE 60 51 10 9D 97 DE F1 47 B7 6C 42 AA B3
01E0 | C7 27 46 C4 D7 0E 26 48 AC 79 35 B7 21 AD 64 00
01F0 | 9E C5 A5 19 DF 85 BA ED 49 0E EB CA C0 69 82 1D
0200 | 71 0F D1 65 7D D7 29 FC 5B 77 69 B8 7D 3E 90 17
0210 | C9 0F 34 EF C1 39 3C A1 B1 E4 AC 2E FE 2D 53 E1
0220 | 58 E7 7A 8F ED 95 2B 66 27 81 B3 19 2F 44 47 EB
0230 | 44 C4 A8 C8 CA EC DA 02 63 FF 74 59 61 2D 53 0D
0240 | 4B F5 33 22 B4 4E 92 E0 2E A5 E8 4C C2 2B D7 C0
0250 | 16 C8 1D F2 FA 98 DE BE B7 3D 5D 8A C8 D3 6D 03
0260 | 42 60 78 52 76 C2 61 69 A2 19 7A 74 07 C4 D3 53
0270 | 27 EF 77 67 C5 C8 56 02 A2 09 34 12 15 D1 6D 00
0280 | 78 6C E8 30 66 CF E3 B6 21 52 6E EF</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">
@ -464,13 +464,13 @@ random_padding_bytes = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>01F447F44549A166</code></td>
<td><code>013421966E4CA166</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>C0020000</code> (704 in decimal)</td>
<td><code>78020000</code> (632 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -482,19 +482,19 @@ random_padding_bytes = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_answer</td>
<td>56, 596</td>
<td><code>FE5002006A393656637B0E0603AF890D</code> <code>A2167E32E3ED238B94568CAB848C8889</code> <code>624398C371357CA7F78B336790C73CBB</code> <code>FB490DC2380C7AF49E6DE40DD62A24AF</code> <code>730F139B71F8FFD973430659768386AE</code> <code>23054696D4FDE3E59D9D7D89A00A6C25</code> <code>FFB3F5BFCE9B0D7C4CF136488691F948</code> <code>0CB49BFA85DF226ECE7D31278855A7B5</code> <code>24E4256C08AE142B144342633F4B27A8</code> <code>78A07E7808CFE65718737F7521B40DBF</code> <code>7B6B43C8504B968CF17AF43CF98571E2</code> <code>DA7182D3096F683FBC230ED755FA0C35</code> <code>8FE5137708CFCDDEF40BFA49561ECE35</code> <code>32F9135490D9B08E339EFED46389D854</code> <code>4B99C573607296830AEBB6FCF8E03875</code> <code>A910AE1D7F865AA1349AF54D3C439A8E</code> <code>2E6539715302BD2F1E3E7F72E9711724</code> <code>DEB969FAD67F12C77CACC131D0F97931</code> <code>38CADAB8AA378CDD308CD5F81677F461</code> <code>69B1339FA82B0B226E1E0AF68FE78366</code> <code>97F6D04AE741A8BEC293EEE713DAD190</code> <code>4EA3AED996D2B745510CB51B4E9F4B28</code> <code>398E189AAFE7DC0461C7EC3750178869</code> <code>41DA19A446CD450C9A1070F34C5FE758</code> <code>94A955541326881BC0609EB22D83E326</code> <code>CE0F42ED0C4E25E94D576A5143A84992</code> <code>57E27F2704C1CF2E43F7723531DFF090</code> <code>26A3943DF1C872F2584B4E50F0F82F70</code> <code>6E9CCEB543F5807C6090F59A5C1711AD</code> <code>4D15F42B355E4DB29121640897C0E5BA</code> <code>C16AC7D7B292FF4B0B39329F75A52F12</code> <code>6F478DDB61073B85AD16356CE62CC6EE</code> <code>EC25B6B2DAE36D369E14F255B686A5A6</code> <code>5C89B9240FD480AAA309643ED87873F1</code> <code>B8C76C4DEAD32B9B7DB2EB1975E322B4</code> <code>0B1335D336A2A61DAFBDFC5D0897D2FD</code> <code>532E3129991EC3B5672E75EF49746200</code><br> <code>367F59E6</code></td>
<td><code>FE50020024D0297FB1578EB57D1BB090</code> <code>DE7DDBB084CEB33A48CA1A7CD1BD38AD</code> <code>B0E7CE35DE207C038551827BB7A38AF8</code> <code>5388AAA9B64C8A7F28E6A0B74AFEBDEB</code> <code>11911A19C77F68551FB0BB18C2B6042E</code> <code>A0443D17C759A00F88E1B919D5F61361</code> <code>7275C4F714B7E3E42C1346CF37CFB7E4</code> <code>05DC835221DC3B8DB4FECE96063C5EB4</code> <code>95ED1B1DA2A480F4A1F27C285E8176C4</code> <code>188A283A0F0BEEF9093A058F3F69091C</code> <code>39E666F097BD0BB2AE47BC46CCEB1B95</code> <code>6C510018F627D62C70D2B72BAC7B0BDC</code> <code>CE187C326D66458EE22E63159BE2C1A2</code> <code>F77563D7C3F20FE888FAFBB67BCB18BB</code> <code>AD5B491848D53BA9D84CD4B831F67F44</code> <code>7BDC686C9EB7EE7B17C9C00D426FC4FB</code> <code>127CD14DB42BF7EA052ED15D9D5EDF2F</code> <code>C06AF175B328E6A53AA6B5320780746C</code> <code>7C811A50235DE7E35D08E44D522C4A17</code> <code>63B68489BDA36FB7F60BFE174302DC72</code> <code>50DC0F0C9A8A2AA9652BDE11569208B8</code> <code>24539A954C12EE41C0892D80E443E20B</code> <code>E24AB36576F68C67CC90360E85FCC192</code> <code>552DC423F6BA1165F22378F8B392915F</code> <code>891EDC57C15B64AC0BEF3F4E075F9C4B</code> <code>EEFB9A4EF30EEB4A8203EE6051109D97</code> <code>DEF147B76C42AAB3C72746C4D70E2648</code> <code>AC7935B721AD64009EC5A519DF85BAED</code> <code>490EEBCAC069821D710FD1657DD729FC</code> <code>5B7769B87D3E9017C90F34EFC1393CA1</code> <code>B1E4AC2EFE2D53E158E77A8FED952B66</code> <code>2781B3192F4447EB44C4A8C8CAECDA02</code> <code>63FF7459612D530D4BF53322B44E92E0</code> <code>2EA5E84CC22BD7C016C81DF2FA98DEBE</code> <code>B73D5D8AC8D36D034260785276C26169</code> <code>A2197A7407C4D35327EF7767C5C85602</code> <code>A209341215D16D00786CE83066CFE3B6</code><br> <code>21526EEF</code></td>
<td>See below</td>
</tr>
</tbody>
@ -502,20 +502,20 @@ random_padding_bytes = 78E32DC9E72D69A37891B7DAB6CA96125DE295DEB4DC017B6D726D915
<!-- 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 = 12E80C711D4E145929DBD59D74C4C9C784B465D36C86484EDB794E373343523A
tmp_aes_iv = E46740B6386AD583BC7C143BDF4332C678F9CDC8EAB6EB4E602EBEF48E82B2E5</code></pre>
<pre><code>encrypted_answer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
tmp_aes_key = 87A16D7D6F2AED65D4FDB26C6F77466043B2F2DB09F5CB131C091193BA7493A5
tmp_aes_iv = 2EF58137AFB5123EADA871026C9DEB69207A69AD90ADC7FACA1570495E493CEC</code></pre>
<!-- end server_DH_inner_data_input -->
<p>Yielding:</p>
<!-- start server_DH_inner_data_output -->
<pre><code>answer_with_hash = B3A14A01ED2A48826CB1A652B10DBF0B160345D3BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EFF03000000FE000100C71CAEB9C6B1C9048E6C522F70F13F73980D40238E3E21C14934D037563D930F48198A0AA7C14058229493D22530F4DBFA336F6E0AC925139543AED44CCE7C3720FD51F69458705AC68CD4FE6B6B13ABDC9746512969328454F18FAF8C595F642477FE96BB2A941D5BCD1D4AC8CC49880708FA9B378E3C4F3A9060BEE67CF9A4A4A695811051907E162753B56B0F6B410DBA74D8A84B2A14B3144E0EF1284754FD17ED950D5965B4B9DD46582DB1178D169C6BC465B0D6FF9CA3928FEF5B9AE4E418FC15E83EBEA0F87FA9FF5EED70050DED2849F47BF959D956850CE929851F0D8115F635B105EE2E4E15D04B2454BF6F4FADF034B10403119CD8E3B92FCC5BFE0001006F7B20B65478004B0FFAFBE7C96EA5EB35B8CED549CDF7C2B950F7E4B813DCF2F1E0566D7E2AB00D5F3AADE543648D2BE878EE9CBEB8ADA694580644339F1CC73FC96DB2028328EFB62AA8D9AFC68F7C58373382813B5C39228E3F1AF42B0150C9FA09F7CA96332360B7B021CF3B6C6F22B9F881593997C5EB9315F3504119A983A93BC2CBEB48EDAADEE189C2E2E1370A5E01172854E7B700A81E4DB92BF0BF8B836988C27502237F862B65C6E98C1A095E9699096347551F949284611DCBDC29428044AA7D31A09E4E25E1D4A064146085721B64E010AD51DAC6E5DFFAAC4E478636E596C044C50EF6495F2AFB70AA802884757F3F5DDA30CCF3AA4AD65CBE4549A166843F091D09114CAA
answer = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EFF03000000FE000100C71CAEB9C6B1C9048E6C522F70F13F73980D40238E3E21C14934D037563D930F48198A0AA7C14058229493D22530F4DBFA336F6E0AC925139543AED44CCE7C3720FD51F69458705AC68CD4FE6B6B13ABDC9746512969328454F18FAF8C595F642477FE96BB2A941D5BCD1D4AC8CC49880708FA9B378E3C4F3A9060BEE67CF9A4A4A695811051907E162753B56B0F6B410DBA74D8A84B2A14B3144E0EF1284754FD17ED950D5965B4B9DD46582DB1178D169C6BC465B0D6FF9CA3928FEF5B9AE4E418FC15E83EBEA0F87FA9FF5EED70050DED2849F47BF959D956850CE929851F0D8115F635B105EE2E4E15D04B2454BF6F4FADF034B10403119CD8E3B92FCC5BFE0001006F7B20B65478004B0FFAFBE7C96EA5EB35B8CED549CDF7C2B950F7E4B813DCF2F1E0566D7E2AB00D5F3AADE543648D2BE878EE9CBEB8ADA694580644339F1CC73FC96DB2028328EFB62AA8D9AFC68F7C58373382813B5C39228E3F1AF42B0150C9FA09F7CA96332360B7B021CF3B6C6F22B9F881593997C5EB9315F3504119A983A93BC2CBEB48EDAADEE189C2E2E1370A5E01172854E7B700A81E4DB92BF0BF8B836988C27502237F862B65C6E98C1A095E9699096347551F949284611DCBDC29428044AA7D31A09E4E25E1D4A064146085721B64E010AD51DAC6E5DFFAAC4E478636E596C044C50EF6495F2AFB70AA802884757F3F5DDA30CCF3AA4AD65CBE4549A166843F091D09114CAA</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 C3 FA 31 68 7F B1 4A FE 6E BB 7B F5
0010 | D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B EF 21 FB BF
0020 | 00 90 7E FF 03 00 00 00 FE 00 01 00 C7 1C AE B9
<pre><code>0000 | BA 0D 89 B5 63 87 AF ED 66 02 EE C4 BE 34 FF AB
0010 | CB 78 31 46 91 81 A5 0F 01 24 0C A8 58 79 08 6C
0020 | 85 0C 6C 58 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
@ -532,23 +532,23 @@ answer = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
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 | 6F 7B 20 B6 54 78 00 4B 0F FA FB E7 C9 6E A5 EB
0140 | 35 B8 CE D5 49 CD F7 C2 B9 50 F7 E4 B8 13 DC F2
0150 | F1 E0 56 6D 7E 2A B0 0D 5F 3A AD E5 43 64 8D 2B
0160 | E8 78 EE 9C BE B8 AD A6 94 58 06 44 33 9F 1C C7
0170 | 3F C9 6D B2 02 83 28 EF B6 2A A8 D9 AF C6 8F 7C
0180 | 58 37 33 82 81 3B 5C 39 22 8E 3F 1A F4 2B 01 50
0190 | C9 FA 09 F7 CA 96 33 23 60 B7 B0 21 CF 3B 6C 6F
01A0 | 22 B9 F8 81 59 39 97 C5 EB 93 15 F3 50 41 19 A9
01B0 | 83 A9 3B C2 CB EB 48 ED AA DE E1 89 C2 E2 E1 37
01C0 | 0A 5E 01 17 28 54 E7 B7 00 A8 1E 4D B9 2B F0 BF
01D0 | 8B 83 69 88 C2 75 02 23 7F 86 2B 65 C6 E9 8C 1A
01E0 | 09 5E 96 99 09 63 47 55 1F 94 92 84 61 1D CB DC
01F0 | 29 42 80 44 AA 7D 31 A0 9E 4E 25 E1 D4 A0 64 14
0200 | 60 85 72 1B 64 E0 10 AD 51 DA C6 E5 DF FA AC 4E
0210 | 47 86 36 E5 96 C0 44 C5 0E F6 49 5F 2A FB 70 AA
0220 | 80 28 84 75 7F 3F 5D DA 30 CC F3 AA 4A D6 5C BE
0230 | 45 49 A1 66</code></pre>
0130 | 61 A5 4F 35 54 53 D6 2B A8 50 E1 DE B2 B9 57 7E
0140 | 0A DF A0 0E F2 B6 A7 84 26 05 4A A8 86 08 85 A2
0150 | 16 90 64 A4 59 6E BF 4C C3 32 B5 64 EC 75 94 E8
0160 | 41 A8 65 83 55 69 8A 40 3E EF 98 C3 D7 77 91 94
0170 | 75 A8 31 1E 62 EC A4 35 DB EC 74 0F 8B B8 67 7C
0180 | 6A 76 50 54 28 72 F2 49 67 35 2E 83 EE B8 89 A4
0190 | 45 88 DE 6C 8B 38 0F 7F 69 61 7E EE 1C 11 34 4E
01A0 | 3C B1 23 DD 27 55 0D 75 2E 87 56 7D ED 6E 1C FE
01B0 | 21 ED 4D 51 78 55 E7 1E 08 BE 0F C5 14 48 37 BA
01C0 | DB 8C D8 99 CA 09 E1 6C 77 8C C9 BD D7 FC 54 8D
01D0 | 31 6F 56 EC 20 46 01 F7 0E 7C 01 03 97 80 14 06
01E0 | 7D 4B A5 27 1C 1D 26 1C CC FA 79 CF 5F 6D 6B 47
01F0 | D7 68 AA BD 84 4B B3 43 A2 53 41 AD 29 BD 9E 70
0200 | 5B 1B B8 EE DF EA E6 AC 6C 77 5D B2 B3 32 4C 4E
0210 | 02 A8 4E FC 10 80 DD B2 2B 56 8C 58 FF 05 E6 33
0220 | DD 7D 86 8E AD C5 DE 69 E4 41 84 96 4E 26 0E 14
0230 | 6E 4C A1 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 = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
@ -594,13 +594,13 @@ answer = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
<tr>
<td>g_a</td>
<td>300, 260</td>
<td><code>FE0001006F7B20B65478004B0FFAFBE7</code> <code>C96EA5EB35B8CED549CDF7C2B950F7E4</code> <code>B813DCF2F1E0566D7E2AB00D5F3AADE5</code> <code>43648D2BE878EE9CBEB8ADA694580644</code> <code>339F1CC73FC96DB2028328EFB62AA8D9</code> <code>AFC68F7C58373382813B5C39228E3F1A</code> <code>F42B0150C9FA09F7CA96332360B7B021</code> <code>CF3B6C6F22B9F881593997C5EB9315F3</code> <code>504119A983A93BC2CBEB48EDAADEE189</code> <code>C2E2E1370A5E01172854E7B700A81E4D</code> <code>B92BF0BF8B836988C27502237F862B65</code> <code>C6E98C1A095E9699096347551F949284</code> <code>611DCBDC29428044AA7D31A09E4E25E1</code> <code>D4A064146085721B64E010AD51DAC6E5</code> <code>DFFAAC4E478636E596C044C50EF6495F</code> <code>2AFB70AA802884757F3F5DDA30CCF3AA</code><br> <code>4AD65CBE</code></td>
<td><code>FE00010061A54F355453D62BA850E1DE</code> <code>B2B9577E0ADFA00EF2B6A78426054AA8</code> <code>860885A2169064A4596EBF4CC332B564</code> <code>EC7594E841A8658355698A403EEF98C3</code> <code>D777919475A8311E62ECA435DBEC740F</code> <code>8BB8677C6A7650542872F24967352E83</code> <code>EEB889A44588DE6C8B380F7F69617EEE</code> <code>1C11344E3CB123DD27550D752E87567D</code> <code>ED6E1CFE21ED4D517855E71E08BE0FC5</code> <code>144837BADB8CD899CA09E16C778CC9BD</code> <code>D7FC548D316F56EC204601F70E7C0103</code> <code>978014067D4BA5271C1D261CCCFA79CF</code> <code>5F6D6B47D768AABD844BB343A25341AD</code> <code>29BD9E705B1BB8EEDFEAE6AC6C775DB2</code> <code>B3324C4E02A84EFC1080DDB22B568C58</code> <code>FF05E633DD7D868EADC5DE69E4418496</code><br> <code>4E260E14</code></td>
<td><code>g_a</code> diffie-hellman parameter</td>
</tr>
<tr>
<td>server_time</td>
<td>560, 4</td>
<td><code>4549A166</code> (1721846085 in decimal)</td>
<td><code>6E4CA166</code> (1721846894 in decimal)</td>
<td>Server time</td>
</tr>
</tbody>
@ -609,34 +609,34 @@ answer = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
<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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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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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 C3 FA 31 68 7F B1 4A FE 6E BB 7B F5
0010 | D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B EF 21 FB BF
0020 | 00 90 7E FF 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 64 29 4D 85 08 64 83 4E 4E 34 CA 5B 05 E8 99 9B
0040 | 46 9C 13 1B F3 88 CC 90 48 AE 63 2F 46 BC 1F 0B
0050 | D2 CF D8 8C D9 D2 0D 88 67 2D 6D 01 65 0E 51 38
0060 | A9 D3 F9 FB 09 1D 58 28 C4 C0 A6 39 85 24 F0 A0
0070 | DB 7B 3D E7 D8 E1 C8 84 00 0E 23 29 4B 2D 68 41
0080 | 80 A5 F7 96 DE 64 76 0F A7 23 46 0B 79 C7 C3 86
0090 | 2D 16 36 56 B1 21 F4 52 2C 58 45 F0 02 90 EC 91
00A0 | B8 9B FB F0 8C 6E 80 E9 57 D3 5F 33 B3 00 41 69
00B0 | A4 7C 4C 54 6E 70 4D E6 B0 EF 76 68 C5 5D 86 CD
00C0 | 1D BC 32 7A 86 AB 59 7E CF 78 46 78 9A 2D C5 E1
00D0 | E1 53 99 4C 0D ED 01 D3 DA E7 73 35 9E 3F 3A 0B
00E0 | E4 1E A6 51 63 BE 2B 52 C4 CB 8E 12 48 E8 2B 6F
00F0 | B0 9B 89 92 9B CF DE F2 78 6E 40 34 5C E6 78 95
0100 | 25 1F 87 4E 0B 3E E7 66 1B 8F DE 81 16 21 29 69
0110 | 97 31 03 4E 89 15 F0 4D F1 49 3D 6C 73 CC 0B DF
0120 | C4 04 C5 BA 0E 2A EF BC 11 B8 B8 17 C5 D4 67 0E</code></pre>
<pre><code>0000 | 54 B6 43 66 63 87 AF ED 66 02 EE C4 BE 34 FF AB
0010 | CB 78 31 46 91 81 A5 0F 01 24 0C A8 58 79 08 6C
0020 | 85 0C 6C 58 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 1C A0 4F BD 75 40 09 36 5B 8F F2 82 70 3B 55 FA
0040 | 9F 7D 69 CB 6A 2C E5 21 C3 55 F7 50 86 5F B2 A2
0050 | F7 5B 27 88 FD B3 B1 9A CA 8F 7C 25 33 4D 04 2E
0060 | 8D 93 63 18 1E 01 84 4D 6B 57 3B 45 A5 31 72 E2
0070 | 90 25 E5 3B A9 07 49 95 1B 1C E5 28 DC DB C3 0B
0080 | AD F9 53 40 BA B1 41 05 08 64 D0 25 29 D8 11 36
0090 | CC E6 9F 88 DC ED EA 0A D9 25 1E 5D 8F 57 C2 B1
00A0 | EF C8 73 C2 99 3B 63 54 84 C2 E8 38 07 D7 83 3A
00B0 | 4D F6 AE E2 2D 61 46 51 45 2D B3 6F 4A 0A BE 5A
00C0 | 5C 67 9C CD 88 CA 87 42 90 67 2D C7 16 44 B5 FC
00D0 | 6D 37 4B A3 F4 C9 97 68 60 D6 F5 CC C5 0E 66 E3
00E0 | F3 0D DB A7 4A F3 40 FC 36 29 E9 98 63 E4 09 03
00F0 | C4 2B FF DE AC 80 F2 52 45 43 DD 08 87 D0 FF FB
0100 | FA CE 07 75 B7 EC 64 F4 F5 45 2C 80 0D AF E4 A2
0110 | A3 42 22 9E A3 23 4A 08 38 91 0A 3E 52 D6 CF 8C
0120 | A0 C8 3D 76 12 86 31 74 68 8F 34 1E 5E 91 69 DA</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 = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>g_b</td>
<td>36, 260</td>
<td><code>FE00010064294D850864834E4E34CA5B</code> <code>05E8999B469C131BF388CC9048AE632F</code> <code>46BC1F0BD2CFD88CD9D20D88672D6D01</code> <code>650E5138A9D3F9FB091D5828C4C0A639</code> <code>8524F0A0DB7B3DE7D8E1C884000E2329</code> <code>4B2D684180A5F796DE64760FA723460B</code> <code>79C7C3862D163656B121F4522C5845F0</code> <code>0290EC91B89BFBF08C6E80E957D35F33</code> <code>B3004169A47C4C546E704DE6B0EF7668</code> <code>C55D86CD1DBC327A86AB597ECF784678</code> <code>9A2DC5E1E153994C0DED01D3DAE77335</code> <code>9E3F3A0BE41EA65163BE2B52C4CB8E12</code> <code>48E82B6FB09B89929BCFDEF2786E4034</code> <code>5CE67895251F874E0B3EE7661B8FDE81</code> <code>162129699731034E8915F04DF1493D6C</code> <code>73CC0BDFC404C5BA0E2AEFBC11B8B817</code><br> <code>C5D4670E</code></td>
<td><code>FE0001001CA04FBD754009365B8FF282</code> <code>703B55FA9F7D69CB6A2CE521C355F750</code> <code>865FB2A2F75B2788FDB3B19ACA8F7C25</code> <code>334D042E8D9363181E01844D6B573B45</code> <code>A53172E29025E53BA90749951B1CE528</code> <code>DCDBC30BADF95340BAB141050864D025</code> <code>29D81136CCE69F88DCEDEA0AD9251E5D</code> <code>8F57C2B1EFC873C2993B635484C2E838</code> <code>07D7833A4DF6AEE22D614651452DB36F</code> <code>4A0ABE5A5C679CCD88CA874290672DC7</code> <code>1644B5FC6D374BA3F4C9976860D6F5CC</code> <code>C50E66E3F30DDBA74AF340FC3629E998</code> <code>63E40903C42BFFDEAC80F2524543DD08</code> <code>87D0FFFBFACE0775B7EC64F4F5452C80</code> <code>0DAFE4A2A342229EA3234A0838910A3E</code> <code>52D6CF8CA0C83D7612863174688F341E</code><br> <code>5E9169DA</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 = BA0D89B5C3FA31687FB14AFE6EBB7BF5D87B574C93548E81C9C9937BEF21FBBF00907EF
<!-- 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 = 8DF91167272E406E5A93395C
tmp_aes_key = 12E80C711D4E145929DBD59D74C4C9C784B465D36C86484EDB794E373343523A
tmp_aes_iv = E46740B6386AD583BC7C143BDF4332C678F9CDC8EAB6EB4E602EBEF48E82B2E5</code></pre>
<pre><code>data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
padding = 7D41867F9FBED9344D62FB68
tmp_aes_key = 87A16D7D6F2AED65D4FDB26C6F77466043B2F2DB09F5CB131C091193BA7493A5
tmp_aes_iv = 2EF58137AFB5123EADA871026C9DEB69207A69AD90ADC7FACA1570495E493CEC</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 1C 6F 0E 00 45 49 A1 66
0010 | 78 01 00 00 1F 5F 04 F5 C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B
0030 | EF 21 FB BF 00 90 7E FF FE 50 01 00 C9 E9 C0 4B
0040 | 8D 4F 43 9A 80 A8 7A A9 AA AE 84 64 64 EE BA 70
0050 | FC D9 41 D9 9B 81 89 A9 F8 25 C8 56 47 EF 27 A9
0060 | D7 3A 08 5D 98 F8 64 A3 21 D1 68 23 DB 15 68 4D
0070 | 95 76 B3 CC 0E 5C B0 DC C5 20 A1 8B C7 85 1C 92
0080 | 66 57 CE F8 2E 93 DB F1 23 8C AD E8 85 4C 27 4F
0090 | AB FE ED 6C 34 68 73 35 13 1E 7A 1D AF AB 9D A8
00A0 | 3D 94 0E 33 D6 5C 6D 15 51 8A 15 54 0C 48 E1 33
00B0 | 5F 85 52 41 D5 8A BB 4E 20 B7 63 31 88 47 DE 93
00C0 | FC C6 51 E0 39 CA C3 86 88 95 DC 40 0D D7 DC 9D
00D0 | C3 6D 75 AA 06 38 C6 3B 84 F8 B4 0A A6 E9 A2 5B
00E0 | B4 8A 42 42 5F 77 2D 00 17 82 D9 73 57 EC 39 46
00F0 | AE BE A1 64 26 FB 2C 4B EC D8 BD 30 12 5A E2 56
0100 | 44 57 6B C5 9B 53 38 5F 29 9D 69 AE 42 45 D3 D8
0110 | 11 E3 35 43 9A 5F 09 C9 89 D5 8F 85 B5 C8 E1 09
0120 | 77 21 9F 07 15 78 E1 41 A5 68 D5 D9 8D 1E 17 4B
0130 | AE 85 60 2E 3B 89 D8 AB 26 BA 19 49 2E EA 9C BE
0140 | F5 16 4F A5 53 CD 47 2F 15 B4 11 79 60 84 97 2B
0150 | AC 03 31 B8 35 B9 52 E5 E0 2C 50 DE 5B A2 E2 EB
0160 | 3F 3F 33 D6 C3 B6 AC D0 05 B7 9E 4B AC EA 66 54
0170 | 90 DA 5F CE D3 6D 73 05 F9 75 6A DA E1 7F 13 91
0180 | B1 70 20 37 02 C9 70 83 AE E0 8F 14</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 F4 28 0E 00 6E 4C A1 66
0010 | 78 01 00 00 1F 5F 04 F5 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46 91 81 A5 0F 01 24 0C A8
0030 | 58 79 08 6C 85 0C 6C 58 FE 50 01 00 12 80 50 42
0040 | 7D 22 04 58 D6 D4 65 48 3B D6 79 2A 75 C2 B1 4E
0050 | 84 C6 10 B3 F6 DD 61 C6 1D 72 6D 60 2F 62 BD 72
0060 | 71 C6 1C 6D 53 5A 72 AF 63 DF A8 CC C3 75 D2 46
0070 | D9 E6 4D 98 5D CE A9 C2 A4 2C F7 6C 2B EC 2A 27
0080 | 5B 57 8E FD 27 B0 54 AB F7 C0 88 FE DB EA 46 C3
0090 | DA 5A D0 96 B0 9C 6B 1E 42 56 A0 8D 37 EC E8 F6
00A0 | EE 7B 47 B1 42 AE 7D A9 81 6D 41 58 74 71 D4 43
00B0 | 19 7E CC F0 68 3A B2 5E AD 6A 2F DD 69 6D 6D 75
00C0 | 2E AF 2A 12 86 5A A5 04 CB A1 6B 7F 39 A1 8B 9B
00D0 | AA E6 10 3F 53 9B 56 FA 7D 49 D1 6E 94 40 41 DD
00E0 | A3 46 8F 89 5F AA 15 71 64 A7 26 9A 22 D1 EF D8
00F0 | 25 F6 BB 01 F0 C7 84 FA 78 E5 21 82 14 6A F5 68
0100 | D6 82 58 18 35 9C 70 EA A6 55 C5 90 19 B5 34 DC
0110 | 7F 96 B4 D8 A7 55 89 85 9B 41 BB D9 36 24 09 5D
0120 | 1A 3D 1B B4 DB AA B4 29 49 F0 E7 66 27 F4 BB 83
0130 | 8B AC 71 AA DA 4A 54 54 96 49 0C 5D CB B4 AE 93
0140 | 97 D8 9B 83 7B 00 A0 1A 2B D7 96 1C F5 0E 7F 8A
0150 | 6F D8 04 47 5E 28 F7 6E 50 06 46 2F 69 C8 98 9C
0160 | 2B 0D 16 65 D0 54 2D E9 BD 04 C7 0F 16 58 85 F4
0170 | DA 49 99 71 99 86 69 90 49 2C 7B 65 2F E2 72 9B
0180 | A0 02 F4 96 7C B4 98 08 44 24 9F 82</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>1C6F0E004549A166</code></td>
<td><code>F4280E006E4CA166</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>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_data</td>
<td>56, 340</td>
<td><code>FE500100C9E9C04B8D4F439A80A87AA9</code> <code>AAAE846464EEBA70FCD941D99B8189A9</code> <code>F825C85647EF27A9D73A085D98F864A3</code> <code>21D16823DB15684D9576B3CC0E5CB0DC</code> <code>C520A18BC7851C926657CEF82E93DBF1</code> <code>238CADE8854C274FABFEED6C34687335</code> <code>131E7A1DAFAB9DA83D940E33D65C6D15</code> <code>518A15540C48E1335F855241D58ABB4E</code> <code>20B763318847DE93FCC651E039CAC386</code> <code>8895DC400DD7DC9DC36D75AA0638C63B</code> <code>84F8B40AA6E9A25BB48A42425F772D00</code> <code>1782D97357EC3946AEBEA16426FB2C4B</code> <code>ECD8BD30125AE25644576BC59B53385F</code> <code>299D69AE4245D3D811E335439A5F09C9</code> <code>89D58F85B5C8E10977219F071578E141</code> <code>A568D5D98D1E174BAE85602E3B89D8AB</code> <code>26BA19492EEA9CBEF5164FA553CD472F</code> <code>15B411796084972BAC0331B835B952E5</code> <code>E02C50DE5BA2E2EB3F3F33D6C3B6ACD0</code> <code>05B79E4BACEA665490DA5FCED36D7305</code> <code>F9756ADAE17F1391B170203702C97083</code><br> <code>AEE08F14</code></td>
<td><code>FE500100128050427D220458D6D46548</code> <code>3BD6792A75C2B14E84C610B3F6DD61C6</code> <code>1D726D602F62BD7271C61C6D535A72AF</code> <code>63DFA8CCC375D246D9E64D985DCEA9C2</code> <code>A42CF76C2BEC2A275B578EFD27B054AB</code> <code>F7C088FEDBEA46C3DA5AD096B09C6B1E</code> <code>4256A08D37ECE8F6EE7B47B142AE7DA9</code> <code>816D41587471D443197ECCF0683AB25E</code> <code>AD6A2FDD696D6D752EAF2A12865AA504</code> <code>CBA16B7F39A18B9BAAE6103F539B56FA</code> <code>7D49D16E944041DDA3468F895FAA1571</code> <code>64A7269A22D1EFD825F6BB01F0C784FA</code> <code>78E52182146AF568D6825818359C70EA</code> <code>A655C59019B534DC7F96B4D8A7558985</code> <code>9B41BBD93624095D1A3D1BB4DBAAB429</code> <code>49F0E76627F4BB838BAC71AADA4A5454</code> <code>96490C5DCBB4AE9397D89B837B00A01A</code> <code>2BD7961CF50E7F8A6FD804475E28F76E</code> <code>5006462F69C8989C2B0D1665D0542DE9</code> <code>BD04C70F165885F4DA49997199866990</code> <code>492C7B652FE2729BA002F4967CB49808</code><br> <code>44249F82</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 64 DF 98 46 49 A1 66
0010 | 6C 00 00 00 34 F7 CB 3B C3 FA 31 68 7F B1 4A FE
0020 | 6E BB 7B F5 D8 7B 57 4C 93 54 8E 81 C9 C9 93 7B
0030 | EF 21 FB BF 00 90 7E FF AD 66 69 D7 7F 9C D3 AE
0040 | FE 6D C0 37 21 4B 62 81</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 B0 01 1E 6F 4C A1 66
0010 | 90 00 00 00 34 F7 CB 3B 63 87 AF ED 66 02 EE C4
0020 | BE 34 FF AB CB 78 31 46 91 81 A5 0F 01 24 0C A8
0030 | 58 79 08 6C 85 0C 6C 58 7F 1F 84 10 80 7A 10 EB
0040 | 7C 48 40 9D A8 D9 F1 03</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>0164DF984649A166</code></td>
<td><code>01B0011E6F4CA166</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>6C000000</code> (108 in decimal)</td>
<td><code>90000000</code> (144 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>C3FA31687FB14AFE6EBB7BF5D87B574C</code></td>
<td><code>6387AFED6602EEC4BE34FFABCB783146</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>93548E81C9C9937BEF21FBBF00907EFF</code></td>
<td><code>9181A50F01240CA85879086C850C6C58</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce_hash1</td>
<td>56, 16</td>
<td><code>AD6669D77F9CD3AEFE6DC037214B6281</code></td>
<td><code>7F1F8410807A10EB7C48409DA8D9F103</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>