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@ -207,6 +207,14 @@ Look for updates of telegram's terms of service…">
<td><a href="/method/invokeWithoutUpdates">invokeWithoutUpdates</a></td>
<td>Invoke a request without subscribing the used connection for <a href="/api/updates">updates</a> (this is enabled by default for <a href="/api/files">file queries</a>).</td>
</tr>
<tr>
<td><a href="/method/invokeWithGooglePlayIntegrity">invokeWithGooglePlayIntegrity</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/invokeWithApnsSecret">invokeWithApnsSecret</a></td>
<td> </td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#registration-authorization" id="registration-authorization" name="registration-authorization"><i class="anchor-icon"></i></a>Registration/Authorization</h3>
@ -299,6 +307,10 @@ Look for updates of telegram&#39;s terms of service…">
<td>Send the verification code for login</td>
</tr>
<tr>
<td><a href="/method/auth.reportMissingCode">auth.reportMissingCode</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/auth.signIn">auth.signIn</a></td>
<td>Signs in a user with a validated phone number.</td>
</tr>
@ -570,11 +582,34 @@ Look for updates of telegram&#39;s terms of service…">
<td>Permanently disconnect a specific chat from all <a href="/api/business#connected-bots">business bots »</a> (equivalent to specifying it in <code>recipients.exclude_users</code> during initial configuration with <a href="/method/account.updateConnectedBot">account.updateConnectedBot »</a>); to reconnect of a chat disconnected using this method the user must reconnect the entire bot by invoking <a href="/method/account.updateConnectedBot">account.updateConnectedBot »</a>.</td>
</tr>
<tr>
<td><a href="/method/account.getBotBusinessConnection">account.getBotBusinessConnection</a></td>
<td>Bots may invoke this method to re-fetch the <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> constructor associated with a specific <a href="/api/business#connected-bots">business <code>connection_id</code>, see here »</a> for more info on connected business bots. <br>This is needed for example for freshly logged in bots that are receiving some <a href="/constructor/updateBotNewBusinessMessage">updateBotNewBusinessMessage</a>, etc. updates because some users have already connected to the bot before it could login. <br>In this case, the bot is receiving messages from the business connection, but it hasn't cached the associated <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> with info about the connection (can it reply to messages? etc.) yet, and cannot receive the old ones because they were sent when the bot wasn't logged into the session yet. <br>This method can be used to fetch info about a not-yet-cached business connection, and should not be invoked if the info is already cached or to fetch changes, as eventual changes will automatically be sent as new <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> updates to the bot using the usual <a href="/api/updates">update delivery methods »</a>.</td>
</tr>
<tr>
<td><a href="/method/invokeWithBusinessConnection">invokeWithBusinessConnection</a></td>
<td>Invoke a method using a <a href="/api/business#connected-bots">Telegram Business Bot connection, see here » for more info, including a list of the methods that can be wrapped in this constructor</a>.<br><br>Make sure to always send queries wrapped in a <code>invokeWithBusinessConnection</code> to the datacenter ID, specified in the <code>dc_id</code> field of the <a href="/constructor/botBusinessConnection">botBusinessConnection</a> that is being used.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-telegram-business-greeting-and-away-messages" id="working-with-telegram-business-greeting-and-away-messages" name="working-with-telegram-business-greeting-and-away-messages"><i class="anchor-icon"></i></a>Working with <a href="/api/business">Telegram Business greeting and away messages</a></h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/account.updateBusinessGreetingMessage">account.updateBusinessGreetingMessage</a></td>
<td>Set a list of <a href="/api/business#greeting-messages">Telegram Business greeting messages</a>.</td>
</tr>
<tr>
<td><a href="/method/account.updateBusinessAwayMessage">account.updateBusinessAwayMessage</a></td>
<td>Set a list of <a href="/api/business#away-messages">Telegram Business away messages</a>.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-telegram-business-opening-hours-" id="working-with-telegram-business-opening-hours-" name="working-with-telegram-business-opening-hours-"><i class="anchor-icon"></i></a>Working with <a href="/api/business#opening-hours">Telegram Business opening hours »</a></h3>
<table class="table">
<thead>
@ -2954,6 +2989,10 @@ Look for updates of telegram&#39;s terms of service…">
<td>View and search recently sent media. <br>This method does not support pagination.</td>
</tr>
<tr>
<td><a href="/method/channels.searchPosts">channels.searchPosts</a></td>
<td>Globally search for posts from public <a href="/api/channel">channels »</a> (<em>including</em> those we aren't a member of) containing a specific hashtag.</td>
</tr>
<tr>
<td><a href="/method/messages.sendMedia">messages.sendMedia</a></td>
<td>Send a media</td>
</tr>
@ -3215,6 +3254,36 @@ Look for updates of telegram&#39;s terms of service…">
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-telegram-business-intro-" id="working-with-the-telegram-business-intro-" name="working-with-the-telegram-business-intro-"><i class="anchor-icon"></i></a>Working with the <a href="/api/business#business-introduction">Telegram Business intro »</a></h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/account.updateBusinessIntro">account.updateBusinessIntro</a></td>
<td>Set or remove the <a href="/api/business#business-introduction">Telegram Business introduction »</a>.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-telegram-business-location" id="working-with-the-telegram-business-location" name="working-with-the-telegram-business-location"><i class="anchor-icon"></i></a>Working with the <a href="/api/business#%C3%B2ocation">Telegram Business location</a></h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/account.updateBusinessLocation">account.updateBusinessLocation</a></td>
<td><a href="/api/business#location">Businesses »</a> may advertise their location using this method, see <a href="/api/business#location">here »</a> for more info.<br><br>To remove business location information invoke the method without setting any of the parameters.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-attachment-menu--of-mini-bot-apps-" id="working-with-the-attachment-menu--of-mini-bot-apps-" name="working-with-the-attachment-menu--of-mini-bot-apps-"><i class="anchor-icon"></i></a>Working with the <a href="/bots/webapps#launching-mini-apps-from-the-attachment-menu">attachment menu »</a> of <a href="/bots/webapps">mini bot apps »</a></h3>
<table class="table">
<thead>
@ -3280,6 +3349,45 @@ Look for updates of telegram&#39;s terms of service…">
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-privacy-settings" id="working-with-the-privacy-settings" name="working-with-the-privacy-settings"><i class="anchor-icon"></i></a>Working with the <a href="/api/privacy">privacy settings</a></h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/account.getPrivacy">account.getPrivacy</a></td>
<td>Get privacy settings of current account</td>
</tr>
<tr>
<td><a href="/method/account.setPrivacy">account.setPrivacy</a></td>
<td>Change privacy settings of current account</td>
</tr>
<tr>
<td><a href="/method/account.setGlobalPrivacySettings">account.setGlobalPrivacySettings</a></td>
<td>Set global privacy settings</td>
</tr>
<tr>
<td><a href="/method/account.getGlobalPrivacySettings">account.getGlobalPrivacySettings</a></td>
<td>Get global privacy settings</td>
</tr>
<tr>
<td><a href="/method/users.getIsPremiumRequiredToContact">users.getIsPremiumRequiredToContact</a></td>
<td>Check whether we can write to the specified user (non-<a href="/api/premium">Premium</a> users only), see <a href="/api/privacy#require-premium-for-new-non-contact-users">here »</a> for more info on the full flow.</td>
</tr>
<tr>
<td><a href="/method/messages.setDefaultHistoryTTL">messages.setDefaultHistoryTTL</a></td>
<td>Changes the default value of the Time-To-Live setting, applied to all new chats.</td>
</tr>
<tr>
<td><a href="/method/messages.getDefaultHistoryTTL">messages.getDefaultHistoryTTL</a></td>
<td>Gets the default value of the Time-To-Live setting, applied to all new chats.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-takeout-api-see-here--for-more-info" id="working-with-the-takeout-api-see-here--for-more-info" name="working-with-the-takeout-api-see-here--for-more-info"><i class="anchor-icon"></i></a>Working with the <a href="/api/takeout">takeout API, see here » for more info</a>.</h3>
<table class="table">
<thead>
@ -3315,6 +3423,57 @@ Look for updates of telegram&#39;s terms of service…">
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-user-profile" id="working-with-the-user-profile" name="working-with-the-user-profile"><i class="anchor-icon"></i></a>Working with the <a href="/api/profile">user profile</a></h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/photos.deletePhotos">photos.deletePhotos</a></td>
<td>Deletes profile photos. The method returns a list of successfully deleted photo IDs.</td>
</tr>
<tr>
<td><a href="/method/photos.getUserPhotos">photos.getUserPhotos</a></td>
<td>Returns the list of user photos.</td>
</tr>
<tr>
<td><a href="/method/photos.updateProfilePhoto">photos.updateProfilePhoto</a></td>
<td>Installs a previously uploaded photo as a profile photo.</td>
</tr>
<tr>
<td><a href="/method/photos.uploadProfilePhoto">photos.uploadProfilePhoto</a></td>
<td>Updates current user profile photo.<br><br>The <code>file</code>, <code>video</code> and <code>video_emoji_markup</code> flags are mutually exclusive.</td>
</tr>
<tr>
<td><a href="/method/photos.uploadContactProfilePhoto">photos.uploadContactProfilePhoto</a></td>
<td>Upload a custom profile picture for a contact, or suggest a new profile picture to a contact.<br><br>The <code>file</code>, <code>video</code> and <code>video_emoji_markup</code> flags are mutually exclusive.</td>
</tr>
<tr>
<td><a href="/method/account.updateProfile">account.updateProfile</a></td>
<td>Updates user profile.</td>
</tr>
<tr>
<td><a href="/method/account.updateBirthday">account.updateBirthday</a></td>
<td>Update our <a href="/api/profile#birthday">birthday, see here »</a> for more info.</td>
</tr>
<tr>
<td><a href="/method/contacts.getBirthdays">contacts.getBirthdays</a></td>
<td>Fetch all users with birthdays that fall within +1/-1 days, relative to the current day: this method should be invoked by clients every 6-8 hours, and if the result is non-empty, it should be used to appropriately update locally cached birthday information in <a href="/constructor/user">user</a>.<code>birthday</code>.<br><br><a href="/api/profile#birthday">See here »</a> for more info.</td>
</tr>
<tr>
<td><a href="/method/account.updatePersonalChannel">account.updatePersonalChannel</a></td>
<td>Associate (or remove) a personal <a href="/api/channel">channel »</a>, that will be listed on our personal <a href="/api/profile#personal-channel">profile page »</a>.<br><br>Changing it will emit an <a href="/constructor/updateUser">updateUser</a> update.</td>
</tr>
<tr>
<td><a href="/method/account.updateStatus">account.updateStatus</a></td>
<td>Updates online user status.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-the-bot-menu-button-" id="working-with-the-bot-menu-button-" name="working-with-the-bot-menu-button-"><i class="anchor-icon"></i></a>Working with the bot <a href="/bots/webapps#launching-mini-apps-from-the-menu-button">menu button »</a></h3>
<table class="table">
<thead>
@ -3360,10 +3519,6 @@ Look for updates of telegram&#39;s terms of service…">
<td>Get days to live of account</td>
</tr>
<tr>
<td><a href="/method/account.getPrivacy">account.getPrivacy</a></td>
<td>Get privacy settings of current account</td>
</tr>
<tr>
<td><a href="/method/account.resetAuthorization">account.resetAuthorization</a></td>
<td>Log out an active <a href="/api/auth">authorized session</a> by its hash</td>
</tr>
@ -3379,34 +3534,6 @@ Look for updates of telegram&#39;s terms of service…">
<td><a href="/method/account.setAccountTTL">account.setAccountTTL</a></td>
<td>Set account self-destruction period</td>
</tr>
<tr>
<td><a href="/method/account.setPrivacy">account.setPrivacy</a></td>
<td>Change privacy settings of current account</td>
</tr>
<tr>
<td><a href="/method/account.setGlobalPrivacySettings">account.setGlobalPrivacySettings</a></td>
<td>Set global privacy settings</td>
</tr>
<tr>
<td><a href="/method/account.getGlobalPrivacySettings">account.getGlobalPrivacySettings</a></td>
<td>Get global privacy settings</td>
</tr>
<tr>
<td><a href="/method/account.updateProfile">account.updateProfile</a></td>
<td>Updates user profile.</td>
</tr>
<tr>
<td><a href="/method/account.updateStatus">account.updateStatus</a></td>
<td>Updates online user status.</td>
</tr>
<tr>
<td><a href="/method/messages.setDefaultHistoryTTL">messages.setDefaultHistoryTTL</a></td>
<td>Changes the default value of the Time-To-Live setting, applied to all new chats.</td>
</tr>
<tr>
<td><a href="/method/messages.getDefaultHistoryTTL">messages.getDefaultHistoryTTL</a></td>
<td>Gets the default value of the Time-To-Live setting, applied to all new chats.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-timezones" id="working-with-timezones" name="working-with-timezones"><i class="anchor-icon"></i></a>Working with timezones</h3>
@ -3424,37 +3551,6 @@ Look for updates of telegram&#39;s terms of service…">
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-user-profile-pictures" id="working-with-user-profile-pictures" name="working-with-user-profile-pictures"><i class="anchor-icon"></i></a>Working with user profile pictures</h3>
<table class="table">
<thead>
<tr>
<th>Name</th>
<th>Description</th>
</tr>
</thead>
<tbody>
<tr>
<td><a href="/method/photos.deletePhotos">photos.deletePhotos</a></td>
<td>Deletes profile photos. The method returns a list of successfully deleted photo IDs.</td>
</tr>
<tr>
<td><a href="/method/photos.getUserPhotos">photos.getUserPhotos</a></td>
<td>Returns the list of user photos.</td>
</tr>
<tr>
<td><a href="/method/photos.updateProfilePhoto">photos.updateProfilePhoto</a></td>
<td>Installs a previously uploaded photo as a profile photo.</td>
</tr>
<tr>
<td><a href="/method/photos.uploadProfilePhoto">photos.uploadProfilePhoto</a></td>
<td>Updates current user profile photo.<br><br>The <code>file</code>, <code>video</code> and <code>video_emoji_markup</code> flags are mutually exclusive.</td>
</tr>
<tr>
<td><a href="/method/photos.uploadContactProfilePhoto">photos.uploadContactProfilePhoto</a></td>
<td>Upload a custom profile picture for a contact, or suggest a new profile picture to a contact.<br><br>The <code>file</code>, <code>video</code> and <code>video_emoji_markup</code> flags are mutually exclusive.</td>
</tr>
</tbody>
</table>
<h3><a class="anchor" href="#working-with-usernames" id="working-with-usernames" name="working-with-usernames"><i class="anchor-icon"></i></a>Working with usernames</h3>
<table class="table">
<thead>
@ -3500,34 +3596,10 @@ Look for updates of telegram&#39;s terms of service…">
<td> </td>
</tr>
<tr>
<td><a href="/method/users.getIsPremiumRequiredToContact">users.getIsPremiumRequiredToContact</a></td>
<td>Check whether we can write to the specified user (non-<a href="/api/premium">Premium</a> users only), see <a href="/api/privacy#require-premium-for-new-non-contact-users">here »</a> for more info on the full flow.</td>
</tr>
<tr>
<td><a href="/method/account.updateBusinessLocation">account.updateBusinessLocation</a></td>
<td><a href="/api/business#location">Businesses »</a> may advertise their location using this method, see <a href="/api/business#location">here »</a> for more info.<br><br>To remove business location information invoke the method without setting any of the parameters.</td>
</tr>
<tr>
<td><a href="/method/account.updateBusinessGreetingMessage">account.updateBusinessGreetingMessage</a></td>
<td>Set a list of <a href="/api/business#greeting-messages">Telegram Business greeting messages</a>.</td>
</tr>
<tr>
<td><a href="/method/account.updateBusinessAwayMessage">account.updateBusinessAwayMessage</a></td>
<td>Set a list of <a href="/api/business#away-messages">Telegram Business away messages</a>.</td>
</tr>
<tr>
<td><a href="/method/messages.toggleDialogFilterTags">messages.toggleDialogFilterTags</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/account.getBotBusinessConnection">account.getBotBusinessConnection</a></td>
<td>Bots may invoke this method to re-fetch the <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> constructor associated with a specific <a href="/api/business#connected-bots">business <code>connection_id</code>, see here »</a> for more info on connected business bots. <br>This is needed for example for freshly logged in bots that are receiving some <a href="/constructor/updateBotNewBusinessMessage">updateBotNewBusinessMessage</a>, etc. updates because some users have already connected to the bot before it could login. <br>In this case, the bot is receiving messages from the business connection, but it hasn't cached the associated <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> with info about the connection (can it reply to messages? etc.) yet, and cannot receive the old ones because they were sent when the bot wasn't logged into the session yet. <br>This method can be used to fetch info about a not-yet-cached business connection, and should not be invoked if the info is already cached or to fetch changes, as eventual changes will automatically be sent as new <a href="/constructor/updateBotBusinessConnect">updateBotBusinessConnect</a> updates to the bot using the usual <a href="/api/updates">update delivery methods »</a>.</td>
</tr>
<tr>
<td><a href="/method/account.updateBusinessIntro">account.updateBusinessIntro</a></td>
<td>Set or remove the <a href="/api/business#business-introduction">Telegram Business introduction »</a>.</td>
</tr>
<tr>
<td><a href="/method/stickers.replaceSticker">stickers.replaceSticker</a></td>
<td>Replace a sticker in a <a href="/api/stickers">stickerset »</a>.</td>
</tr>
@ -3540,18 +3612,6 @@ Look for updates of telegram&#39;s terms of service…">
<td> </td>
</tr>
<tr>
<td><a href="/method/account.updateBirthday">account.updateBirthday</a></td>
<td>Update our <a href="/api/profile#birthday">birthday, see here »</a> for more info.</td>
</tr>
<tr>
<td><a href="/method/contacts.getBirthdays">contacts.getBirthdays</a></td>
<td>Fetch all users with birthdays that fall within +1/-1 days, relative to the current day: this method should be invoked by clients every 6-8 hours, and if the result is non-empty, it should be used to appropriately update locally cached birthday information in <a href="/constructor/user">user</a>.<code>birthday</code>.<br><br><a href="/api/profile#birthday">See here »</a> for more info.</td>
</tr>
<tr>
<td><a href="/method/account.updatePersonalChannel">account.updatePersonalChannel</a></td>
<td>Associate (or remove) a personal <a href="/api/channel">channel »</a>, that will be listed on our personal <a href="/api/profile#personal-channel">profile page »</a>.<br><br>Changing it will emit an <a href="/constructor/updateUser">updateUser</a> update.</td>
</tr>
<tr>
<td><a href="/method/channels.reportSponsoredMessage">channels.reportSponsoredMessage</a></td>
<td> </td>
</tr>
@ -3563,22 +3623,6 @@ Look for updates of telegram&#39;s terms of service…">
<td><a href="/method/account.toggleSponsoredMessages">account.toggleSponsoredMessages</a></td>
<td>Disable or re-enable Telegram ads for the current <a href="/api/premium">Premium</a> account.<br><br>Useful for business owners that may want to launch and view their own Telegram ads via the <a href="https://ads.telegram.org">Telegram ad platform »</a>.</td>
</tr>
<tr>
<td><a href="/method/auth.reportMissingCode">auth.reportMissingCode</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/invokeWithGooglePlayIntegrity">invokeWithGooglePlayIntegrity</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/invokeWithApnsSecret">invokeWithApnsSecret</a></td>
<td> </td>
</tr>
<tr>
<td><a href="/method/channels.searchPosts">channels.searchPosts</a></td>
<td>Globally search for posts from public <a href="/api/channel">channels »</a> (<em>including</em> those we aren't a member of) containing a specific hashtag.</td>
</tr>
</tbody>
</table></div>

View file

@ -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 88 57 0E 00 F1 FF 97 66
0010 | 14 00 00 00 F1 8E 7E BE B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 10 B2 07 00 60 01 98 66
0010 | 14 00 00 00 F1 8E 7E BE 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F</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>88570E00F1FF9766</code></td>
<td><code>10B2070060019866</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>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</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 BC 71 74 F1 FF 97 66
0010 | B8 00 00 00 63 24 16 05 B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43 4D 59 F0 77 89 8A A1 E4
0030 | AC C4 5F 5C 77 9B 3C E2 08 1A 80 74 F2 82 62 DB
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 0C 00 F3 60 01 98 66
0010 | 78 00 00 00 63 24 16 05 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65
0030 | 5B 12 6D F4 E6 40 2E CC 08 1C D1 1D 49 17 71 8E
0040 | EF 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>01BC7174F1FF9766</code></td>
<td><code>010C00F360019866</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>B8000000</code> (184 in decimal)</td>
<td><code>78000000</code> (120 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -150,19 +150,19 @@
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Server-generated random number</td>
</tr>
<tr>
<td>pq</td>
<td>56, 12</td>
<td><code>081A8074F28262DBC3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1909654826923514819</td>
<td><code>081CD11D4917718EEF000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2076473102957645551</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 = 1909654826923514819</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>1909654826923514819 = 1039905901 * 1836372719</code></p>
<pre><code>p = 1039905901
q = 1836372719</code></pre>
<pre><code>pq = 2076473102957645551</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2076473102957645551 = 1132256093 * 1833925307</code></p>
<pre><code>p = 1132256093
q = 1833925307</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 1A 80 74 F2 82 62 DB C3 00 00 00
0010 | 04 3D FB B4 6D 00 00 00 04 6D 74 D2 EF 00 00 00
0020 | B9 58 7B 31 62 35 59 60 8E 08 A7 B2 DD 03 72 43
0030 | 4D 59 F0 77 89 8A A1 E4 AC C4 5F 5C 77 9B 3C E2
0040 | CE 39 E5 F8 0B 68 93 8D 85 05 B0 FE 57 EF 9D C2
0050 | 80 2A E9 E8 A3 4E 86 F3 FD 21 2B 94 FE C3 C2 F0
<pre><code>0000 | 95 5F F5 A9 08 1C D1 1D 49 17 71 8E EF 00 00 00
0010 | 04 43 7C DB 5D 00 00 00 04 6D 4F 7A BB 00 00 00
0020 | 05 FE F5 95 9C 0D 66 54 3D F2 34 62 04 81 AD 6F
0030 | 52 D1 9F 8A FF 7B 28 65 5B 12 6D F4 E6 40 2E CC
0040 | 39 64 AE A8 7F 37 AD 6B D2 1A 62 D9 30 67 97 F0
0050 | 46 BE F9 A1 7F C1 E0 C3 C3 F6 91 C4 64 8C 86 8D
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 = 1836372719</code></pre>
<tr>
<td>pq</td>
<td>4, 12</td>
<td><code>081A8074F28262DBC3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1909654826923514819</td>
<td><code>081CD11D4917718EEF000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2076473102957645551</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>043DFBB46D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1039905901</td>
<td><code>04437CDB5D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1132256093</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>046D74D2EF000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1836372719</td>
<td><code>046D4F7ABB000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1833925307</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>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>48, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce</td>
<td>64, 32</td>
<td><code>CE39E5F80B68938D8505B0FE57EF9DC2</code> <code>802AE9E8A34E86F3FD212B94FEC3C2F0</code></td>
<td><code>3964AEA87F37AD6BD21A62D9306797F0</code> <code>46BEF9A17FC1E0C3C3F691C4648C868D</code></td>
<td>Client-generated random number</td>
</tr>
<tr>
@ -291,39 +291,39 @@ q = 1836372719</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 = 955FF5A9081A8074F28262DBC3000000043DFBB46D000000046D74D2EF000000B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE2CE39E5F80B68938D8505B0FE57EF9DC2802AE9E8A34E86F3FD212B94FEC3C2F002000000
random_padding_bytes = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52AD8F019056D2DAE75F5542FBD9842BBF322082F507CCF729B096FE42BFFCFA5DC5887D47135B59D2C872E9760C300E49884D577143BB7DA50294E2A9D073DC3E</code></pre>
<pre><code>data = 955FF5A9081CD11D4917718EEF00000004437CDB5D000000046D4F7ABB00000005FEF5959C0D66543DF234620481AD6F52D19F8AFF7B28655B126DF4E6402ECC3964AEA87F37AD6BD21A62D9306797F046BEF9A17FC1E0C3C3F691C4648C868D02000000
random_padding_bytes = E235ADC313C2D6B78F9F496C518EE93AF2FB16102D1AFCCB745990AEF1AA0CFF74C899DB648D406F9291B960A4CE3684BE1598CD3947492488CB268178774E2BFBF93292EE6B0F0A04D9980C7339088EE35C86A8B61AE2D9FACBDD29</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 8C 57 0E 00 F1 FF 97 66
0010 | 40 01 00 00 BE E4 12 D7 B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43 4D 59 F0 77 89 8A A1 E4
0030 | AC C4 5F 5C 77 9B 3C E2 04 3D FB B4 6D 00 00 00
0040 | 04 6D 74 D2 EF 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 1A 25 83 29 96 3F 5A 8E 22 8B 7A 86
0060 | 87 86 DB 94 A6 55 BA A8 52 DE 1B DF E7 EF 49 B6
0070 | 85 8D B1 BA 2C 37 6A 9C 5A B1 88 0F 68 BC F9 F4
0080 | FB AD 6B 4E A6 E0 AE 20 DA 67 91 7D D4 57 C7 E4
0090 | 22 50 E0 E9 40 E8 B6 24 1A 0F 36 4B D5 72 32 1D
00A0 | F3 E1 C1 79 A8 23 07 18 A9 36 69 D8 CB D8 18 F9
00B0 | 47 FF 41 B1 6B C8 24 DD 9D 07 42 C6 76 95 C4 20
00C0 | 6A 86 76 73 42 70 B2 D6 CE 2C 9C A8 DC F9 C1 11
00D0 | 57 56 8E F2 0C 9C B3 33 BE 63 88 21 38 FA C0 9E
00E0 | 48 B7 50 D0 AE 7C 7C 8C 39 92 31 9B 64 83 09 BA
00F0 | F7 89 81 ED 0B 6F 94 A8 04 5D 2D 07 DA D1 C9 06
0100 | CE 72 76 E5 91 BE BF AD 98 FA EF 9A EE 0C 72 67
0110 | B6 56 41 8B 7E EE 52 97 70 05 80 6B 4E 26 3B 59
0120 | 9E 0D 83 FB 33 D1 BA 01 37 28 03 77 87 35 64 AC
0130 | 01 37 C0 6E F5 68 9B E7 E8 9E 2F 00 5D 94 B3 9B
0140 | 80 62 F1 50 30 D0 76 45 8E 18 CF 32 7E E4 43 90
0150 | 96 43 46 E7</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 00 9A 0A 00 61 01 98 66
0010 | 40 01 00 00 BE E4 12 D7 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65
0030 | 5B 12 6D F4 E6 40 2E CC 04 43 7C DB 5D 00 00 00
0040 | 04 6D 4F 7A BB 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 3C 84 5A 07 E1 55 88 99 1F 5B 39 53
0060 | 80 C2 F5 3E 9C C6 23 F3 6E A0 BA 66 C3 B5 4E 36
0070 | EB C2 37 41 C6 B3 AE DD 77 70 1B 7A 64 63 88 D4
0080 | 24 84 FB 65 11 84 4C E2 09 81 D0 08 51 14 82 11
0090 | 06 DB 3F 15 47 96 BE 2D B0 59 84 3E FD 4E DF 74
00A0 | 62 40 11 F3 4B 63 DB 68 F0 0E 76 FA C8 59 44 14
00B0 | 8F 5D 3D C4 04 69 DB 7B 44 6B 14 F2 83 64 CE 50
00C0 | 95 4C 34 1B 7D 41 F8 7A BF 46 74 38 0B B0 DA AA
00D0 | 84 82 60 A7 61 6E 4C 78 13 C0 D8 DD 07 EE 78 52
00E0 | A0 21 E6 A1 FB 67 CC 4E F6 0A 19 53 CA C8 53 AA
00F0 | 56 C4 A2 D2 57 5B 2C 3F 89 F7 7E 9F DA E7 D5 79
0100 | 6B 41 58 7E 86 89 23 66 94 2C 95 92 18 EF 87 CE
0110 | E1 F7 52 A3 4E 35 9C CC 38 2F 10 D7 3F 51 93 CA
0120 | 5A 23 22 A6 4B 0B 85 22 FE EF 93 EA 64 6E 8A 43
0130 | 8A 50 81 31 D4 64 C8 77 01 D1 09 F8 E4 DC 35 26
0140 | 4A 89 D5 9B 9A 31 29 8A 41 1D E8 52 40 63 F9 BF
0150 | E4 B4 3C B9</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 = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>8C570E00F1FF9766</code></td>
<td><code>009A0A0061019866</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 = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>p</td>
<td>56, 8</td>
<td><code>043DFBB46D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1039905901</td>
<td><code>04437CDB5D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1132256093</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>046D74D2EF000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1836372719</td>
<td><code>046D4F7ABB000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1833925307</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 = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<tr>
<td>encrypted_data</td>
<td>80, 260</td>
<td><code>FE0001001A258329963F5A8E228B7A86</code> <code>8786DB94A655BAA852DE1BDFE7EF49B6</code> <code>858DB1BA2C376A9C5AB1880F68BCF9F4</code> <code>FBAD6B4EA6E0AE20DA67917DD457C7E4</code> <code>2250E0E940E8B6241A0F364BD572321D</code> <code>F3E1C179A8230718A93669D8CBD818F9</code> <code>47FF41B16BC824DD9D0742C67695C420</code> <code>6A8676734270B2D6CE2C9CA8DCF9C111</code> <code>57568EF20C9CB333BE63882138FAC09E</code> <code>48B750D0AE7C7C8C3992319B648309BA</code> <code>F78981ED0B6F94A8045D2D07DAD1C906</code> <code>CE7276E591BEBFAD98FAEF9AEE0C7267</code> <code>B656418B7EEE52977005806B4E263B59</code> <code>9E0D83FB33D1BA0137280377873564AC</code> <code>0137C06EF5689BE7E89E2F005D94B39B</code> <code>8062F15030D076458E18CF327EE44390</code><br> <code>964346E7</code></td>
<td><code>FE0001003C845A07E15588991F5B3953</code> <code>80C2F53E9CC623F36EA0BA66C3B54E36</code> <code>EBC23741C6B3AEDD77701B7A646388D4</code> <code>2484FB6511844CE20981D00851148211</code> <code>06DB3F154796BE2DB059843EFD4EDF74</code> <code>624011F34B63DB68F00E76FAC8594414</code> <code>8F5D3DC40469DB7B446B14F28364CE50</code> <code>954C341B7D41F87ABF4674380BB0DAAA</code> <code>848260A7616E4C7813C0D8DD07EE7852</code> <code>A021E6A1FB67CC4EF60A1953CAC853AA</code> <code>56C4A2D2575B2C3F89F77E9FDAE7D579</code> <code>6B41587E86892366942C959218EF87CE</code> <code>E1F752A34E359CCC382F10D73F5193CA</code> <code>5A2322A64B0B8522FEEF93EA646E8A43</code> <code>8A508131D464C87701D109F8E4DC3526</code> <code>4A89D59B9A31298A411DE8524063F9BF</code><br> <code>E4B43CB9</code></td>
<td>Value generated above</td>
</tr>
</tbody>
@ -402,47 +402,47 @@ random_padding_bytes = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<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 F8 30 4B F2 FF 97 66
0010 | E0 02 00 00 5C 07 E8 D0 B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43 4D 59 F0 77 89 8A A1 E4
0030 | AC C4 5F 5C 77 9B 3C E2 FE 50 02 00 F1 00 7B 18
0040 | 8B 7C 1D 2E 11 97 B8 03 E2 63 8E 67 64 6D 2E 1B
0050 | 19 71 68 61 5A 15 30 D3 63 50 74 7D 07 B2 6D 4E
0060 | F2 32 B0 59 C7 33 50 2C 95 1D A5 55 CC 4F 70 72
0070 | B0 17 F0 C4 8F 15 65 46 8B 1D 61 2D 54 53 3C 02
0080 | 30 91 6C 18 74 96 A8 20 FD 2B D3 A2 C6 EB 18 F0
0090 | 26 E8 21 71 0A F0 87 FA 81 DA BA 1E CD B3 C8 8C
00A0 | 12 3F 26 1E 50 D5 22 D5 BA F7 95 54 93 D5 01 2E
00B0 | D3 F0 2C 21 FA 86 E8 1F D8 8E 4B EF A2 75 05 97
00C0 | 78 CB 8E 1E 90 D3 E9 56 EC 98 AA 4F 9B 2F 4D 56
00D0 | 6C BA 62 05 63 F3 BC 3B BF 13 7E 9E 5C 85 D6 47
00E0 | 07 ED 49 F6 F7 4D C0 13 0B 40 63 AC 13 FA 95 9A
00F0 | 6C DA 06 40 0E DF 3E 85 18 E4 48 B1 1B F8 E6 69
0100 | 71 89 E9 C5 CD DC E0 4F D7 97 D2 1C 46 2E EB EF
0110 | 06 73 AC CC 0F 7F F8 E9 1E 62 28 AA 84 7B 47 35
0120 | 94 1F 68 52 B2 77 12 2D 20 D4 7C DF 8B B0 A1 93
0130 | D4 DB C2 59 28 7A C1 3B 32 2D 90 D0 E2 49 B6 CA
0140 | 09 14 48 9C 65 FE AE 8C 01 88 1B B4 19 24 8A 8C
0150 | 86 D9 F7 12 3D ED 69 83 F0 D0 9A 54 BC A5 C8 05
0160 | 49 93 D9 E2 BE E2 B6 2C 06 4C 2D EB 22 01 F3 E0
0170 | A4 7E FF 17 2D D8 A8 F6 AD 6F F0 2A F9 99 05 29
0180 | 89 34 20 E0 25 9C CA 43 5F 07 3D DA D5 76 E0 BF
0190 | 56 92 80 56 C9 AE 69 75 3F 3E 83 A5 24 4B E9 A8
01A0 | 17 AA 0D C3 BC E2 D1 3F FC 25 7D C1 9C 46 CB 75
01B0 | 47 9E EB 8D 1A 49 79 2E B7 8E 7F 99 B9 9A 05 92
01C0 | B7 07 9D 34 A9 88 4A D7 F5 21 42 5F AB F2 34 27
01D0 | 4E 12 0F 48 AF 10 E5 0B 88 5D 88 59 16 77 39 B5
01E0 | 8A B5 DA 4C 8D 51 8F C3 81 47 7B D3 61 C3 92 FE
01F0 | 1F C8 E2 97 36 99 96 51 E2 12 2E 15 77 EB AA 57
0200 | D6 4F 29 CF B1 55 90 F5 4F 30 88 06 C3 E6 D7 33
0210 | D1 9E C9 BC EE 50 8F 71 68 EB 56 9F 48 0F 17 13
0220 | B5 B9 19 EC 22 C7 05 77 F1 DE FB E3 7B 77 6D 4F
0230 | 7C 9A EB 4F 69 AC E9 82 CD E6 EC DF BA 01 5A FA
0240 | 9C 8E 3E 84 AC CF 15 62 94 52 50 7F B7 8C 0E 19
0250 | 53 EB BD 86 FF 91 A0 16 7F 7A 90 56 17 AD 75 0C
0260 | 9E D7 E8 07 EF 1D 96 08 B8 DD 51 1B 8A E3 13 7C
0270 | 8B 4C 40 B7 F1 69 4F 79 4B 10 DC E0 21 77 3A 2F
0280 | 62 80 9B B8 ED 68 85 CC F3 63 A9 12</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 64 6C CE 61 01 98 66
0010 | 90 02 00 00 5C 07 E8 D0 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65
0030 | 5B 12 6D F4 E6 40 2E CC FE 50 02 00 56 ED 54 EA
0040 | 55 AE DF 24 96 1A 6F 97 AD 31 32 E6 8D 0C 4F B7
0050 | 85 9A DD BB 89 F4 DF A5 37 B5 E4 19 6A C5 2E BA
0060 | BF BF EE F8 37 24 AD C7 43 FF 51 DC 4E 88 F4 39
0070 | EB D7 04 02 FA A3 FF EF 90 28 54 6E C8 78 EB 18
0080 | FD 7C 64 C2 00 FA D5 E5 00 0A F1 AA 4A 7C 0C B5
0090 | 83 84 C4 4E 77 71 FE 87 5B 07 18 B7 58 AB EF 08
00A0 | 8D 8D 3A 28 78 4C 37 C5 D3 00 B2 49 11 DA 68 DB
00B0 | 80 32 1F 76 3B 0F DD 04 29 3E 5F 37 EA 6C 61 D6
00C0 | 75 ED C3 CD 13 2D 5B 81 90 17 10 75 DC 48 3B E5
00D0 | E9 04 5E 2F CE F0 C6 DF 11 C4 25 DF 86 5B 42 21
00E0 | DE 55 7B 97 EF 21 DF 2C 96 FB B9 92 14 8E B9 45
00F0 | 19 01 B6 B7 44 D4 08 B8 A6 7B E9 84 36 7B 68 5B
0100 | 3C E6 A3 2B 88 5D 58 CA 83 A5 31 0D 4F 44 A6 ED
0110 | 2E 07 27 0D 03 D2 EC F0 C7 F0 10 03 B6 11 3C BD
0120 | 37 9F E3 B4 F1 8C 1A D4 55 A3 31 DC 61 D6 96 DA
0130 | FD 1C 2F 34 0E A2 61 02 EB EC 2B 84 E7 4D 7F 74
0140 | 0A 81 93 A5 83 BD 31 00 1E 6E CF 2F EB 4B 3B A8
0150 | F4 6C 12 C4 E7 CD 2C EA 90 0C CD F5 06 52 06 B4
0160 | 78 5C 99 61 C2 88 17 67 36 72 37 8F D0 BA A3 1D
0170 | 36 BB AF BE 8F 65 6B 09 16 44 94 9C 40 14 A2 84
0180 | 5F 7A 09 65 03 25 EB 3A 3C 92 67 7A 67 07 CC FE
0190 | 00 0E 40 15 FF E4 BB 9B 3D E5 92 AF CC 7C 07 30
01A0 | 36 3A AC 2F 3F FF 16 E5 99 A6 76 91 FB A1 8E 54
01B0 | 6E F7 6F 6F 6F 3C 80 E0 42 89 B7 09 AE E1 3E 3B
01C0 | CA 32 20 14 E6 FB 4A C5 85 89 98 E5 A7 3D AA 35
01D0 | 5F 63 F3 11 F9 47 8C 82 41 1C 3D 2D 72 8B EF 20
01E0 | 50 6C 82 DA 17 BB 2B 00 D7 BA 44 2A 19 8D 9F A4
01F0 | 7C DE 21 51 17 A6 B7 E4 DB E4 3F 3B 4A 57 7D DF
0200 | 19 11 0E 68 71 0D 05 78 3A DE 02 A4 0A B1 D0 74
0210 | C1 E0 80 62 80 1A 80 1C 3D 4E 7D 5D 3A 16 1A 64
0220 | 65 31 45 8C 58 2C A6 74 F7 7D 16 65 83 63 3B 28
0230 | 0B E2 8A B3 D0 F0 56 50 7C FD F6 18 B6 9A 9C 42
0240 | C9 60 24 F7 39 C9 63 90 54 7C 75 4D 29 41 BA 1F
0250 | 58 A5 38 BC AB 4F 02 DF AE 5F AD 68 AD 6D 64 C3
0260 | 92 1B 3E 4E AF E1 63 1C F0 7C 5B A5 F6 09 04 A1
0270 | AD A4 33 AB 7F E3 B9 5C 6B 5F 0F 93 1D 95 94 9C
0280 | 91 6F C8 8E 65 DA AB 0F 0B 26 E9 4A</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 = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>01F8304BF2FF9766</code></td>
<td><code>01646CCE61019866</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>E0020000</code> (736 in decimal)</td>
<td><code>90020000</code> (656 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -482,19 +482,19 @@ random_padding_bytes = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_answer</td>
<td>56, 596</td>
<td><code>FE500200F1007B188B7C1D2E1197B803</code> <code>E2638E67646D2E1B197168615A1530D3</code> <code>6350747D07B26D4EF232B059C733502C</code> <code>951DA555CC4F7072B017F0C48F156546</code> <code>8B1D612D54533C0230916C187496A820</code> <code>FD2BD3A2C6EB18F026E821710AF087FA</code> <code>81DABA1ECDB3C88C123F261E50D522D5</code> <code>BAF7955493D5012ED3F02C21FA86E81F</code> <code>D88E4BEFA275059778CB8E1E90D3E956</code> <code>EC98AA4F9B2F4D566CBA620563F3BC3B</code> <code>BF137E9E5C85D64707ED49F6F74DC013</code> <code>0B4063AC13FA959A6CDA06400EDF3E85</code> <code>18E448B11BF8E6697189E9C5CDDCE04F</code> <code>D797D21C462EEBEF0673ACCC0F7FF8E9</code> <code>1E6228AA847B4735941F6852B277122D</code> <code>20D47CDF8BB0A193D4DBC259287AC13B</code> <code>322D90D0E249B6CA0914489C65FEAE8C</code> <code>01881BB419248A8C86D9F7123DED6983</code> <code>F0D09A54BCA5C8054993D9E2BEE2B62C</code> <code>064C2DEB2201F3E0A47EFF172DD8A8F6</code> <code>AD6FF02AF9990529893420E0259CCA43</code> <code>5F073DDAD576E0BF56928056C9AE6975</code> <code>3F3E83A5244BE9A817AA0DC3BCE2D13F</code> <code>FC257DC19C46CB75479EEB8D1A49792E</code> <code>B78E7F99B99A0592B7079D34A9884AD7</code> <code>F521425FABF234274E120F48AF10E50B</code> <code>885D8859167739B58AB5DA4C8D518FC3</code> <code>81477BD361C392FE1FC8E29736999651</code> <code>E2122E1577EBAA57D64F29CFB15590F5</code> <code>4F308806C3E6D733D19EC9BCEE508F71</code> <code>68EB569F480F1713B5B919EC22C70577</code> <code>F1DEFBE37B776D4F7C9AEB4F69ACE982</code> <code>CDE6ECDFBA015AFA9C8E3E84ACCF1562</code> <code>9452507FB78C0E1953EBBD86FF91A016</code> <code>7F7A905617AD750C9ED7E807EF1D9608</code> <code>B8DD511B8AE3137C8B4C40B7F1694F79</code> <code>4B10DCE021773A2F62809BB8ED6885CC</code><br> <code>F363A912</code></td>
<td><code>FE50020056ED54EA55AEDF24961A6F97</code> <code>AD3132E68D0C4FB7859ADDBB89F4DFA5</code> <code>37B5E4196AC52EBABFBFEEF83724ADC7</code> <code>43FF51DC4E88F439EBD70402FAA3FFEF</code> <code>9028546EC878EB18FD7C64C200FAD5E5</code> <code>000AF1AA4A7C0CB58384C44E7771FE87</code> <code>5B0718B758ABEF088D8D3A28784C37C5</code> <code>D300B24911DA68DB80321F763B0FDD04</code> <code>293E5F37EA6C61D675EDC3CD132D5B81</code> <code>90171075DC483BE5E9045E2FCEF0C6DF</code> <code>11C425DF865B4221DE557B97EF21DF2C</code> <code>96FBB992148EB9451901B6B744D408B8</code> <code>A67BE984367B685B3CE6A32B885D58CA</code> <code>83A5310D4F44A6ED2E07270D03D2ECF0</code> <code>C7F01003B6113CBD379FE3B4F18C1AD4</code> <code>55A331DC61D696DAFD1C2F340EA26102</code> <code>EBEC2B84E74D7F740A8193A583BD3100</code> <code>1E6ECF2FEB4B3BA8F46C12C4E7CD2CEA</code> <code>900CCDF5065206B4785C9961C2881767</code> <code>3672378FD0BAA31D36BBAFBE8F656B09</code> <code>1644949C4014A2845F7A09650325EB3A</code> <code>3C92677A6707CCFE000E4015FFE4BB9B</code> <code>3DE592AFCC7C0730363AAC2F3FFF16E5</code> <code>99A67691FBA18E546EF76F6F6F3C80E0</code> <code>4289B709AEE13E3BCA322014E6FB4AC5</code> <code>858998E5A73DAA355F63F311F9478C82</code> <code>411C3D2D728BEF20506C82DA17BB2B00</code> <code>D7BA442A198D9FA47CDE215117A6B7E4</code> <code>DBE43F3B4A577DDF19110E68710D0578</code> <code>3ADE02A40AB1D074C1E08062801A801C</code> <code>3D4E7D5D3A161A646531458C582CA674</code> <code>F77D166583633B280BE28AB3D0F05650</code> <code>7CFDF618B69A9C42C96024F739C96390</code> <code>547C754D2941BA1F58A538BCAB4F02DF</code> <code>AE5FAD68AD6D64C3921B3E4EAFE1631C</code> <code>F07C5BA5F60904A1ADA433AB7FE3B95C</code> <code>6B5F0F931D95949C916FC88E65DAAB0F</code><br> <code>0B26E94A</code></td>
<td>See below</td>
</tr>
</tbody>
@ -502,20 +502,20 @@ random_padding_bytes = 6E28CF995D08AA2269C0859FFA1A5026C1F3DBA19AA00490EAC2EE52A
<!-- 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 = 68BAFA98D2EF9596E4A16AC8738160B92728CB85D4675BA6C9FA60E0DADD29DC
tmp_aes_iv = A172B2F171E9FC1B5ECAC2E5CA03D4D575FCB68E3BA103EEEF7E5608CE39E5F8</code></pre>
<pre><code>encrypted_answer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
tmp_aes_key = F4B676FBD0BE2784601BACED292ACC443B4ED4435C15A137214B9488342EE984
tmp_aes_iv = 65ED8BAB8D6754E711E05FCAA479C436E5FFDCFC7526DEEFA756685F3964AEA8</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 B9 58 7B 31 62 35 59 60 8E 08 A7 B2
0010 | DD 03 72 43 4D 59 F0 77 89 8A A1 E4 AC C4 5F 5C
0020 | 77 9B 3C E2 03 00 00 00 FE 00 01 00 C7 1C AE B9
<pre><code>0000 | BA 0D 89 B5 05 FE F5 95 9C 0D 66 54 3D F2 34 62
0010 | 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65 5B 12 6D F4
0020 | E6 40 2E CC 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 = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
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 | 5B 57 05 6E C5 B1 82 48 D9 02 55 87 AC C4 15 39
0140 | DA 38 DE C8 82 C7 CE 8B 33 D0 65 D7 D4 14 9B C8
0150 | 59 9A A8 07 F4 E2 30 0F 78 0B 5B D8 7A 78 F3 41
0160 | 93 30 F2 95 77 E1 93 4A 29 34 99 93 8D 45 81 2E
0170 | 32 F5 38 DF DB 13 EC 07 EA 48 23 F8 D8 DC 75 40
0180 | 73 E8 2F 33 6B AB DF 7A 3F 23 9F A2 30 39 B6 33
0190 | 59 DF 08 7C 3A E3 B1 F6 71 6E 72 51 C0 6E A9 90
01A0 | F9 F3 92 63 89 4B EC B6 6C 4B A1 4D D1 75 D0 17
01B0 | 75 EE 0C 70 1D AF 64 55 12 7A 91 E0 88 C3 04 E3
01C0 | 42 09 BE 54 69 AB 96 4B C6 88 7D F0 17 B6 91 3D
01D0 | A4 84 48 05 5E D2 00 C9 71 33 49 A2 78 F1 F2 16
01E0 | B8 8C AA 2E 9B 43 89 05 93 8F 31 03 68 41 B3 6A
01F0 | 8B 1C 61 FC E1 65 19 51 C6 60 6B 16 6A E5 BB BE
0200 | 18 10 B1 27 13 7C A7 C8 37 98 DA 36 3E D1 A1 08
0210 | 23 95 15 55 BB C1 ED 4B 4C B8 33 D6 22 C3 27 4A
0220 | BD 21 1C 1B 89 1C 10 AF 6F 21 3D C0 29 BA 9A 33
0230 | F2 FF 97 66</code></pre>
0130 | 84 8D 07 35 BE B3 B4 2F BE B0 66 B6 DF 1D 42 A7
0140 | 9F 84 2F 18 75 3D 8F 63 69 E1 C8 2B C7 B4 4A 94
0150 | 0F 43 A9 6B AC 92 C1 99 BD 25 53 3C 05 07 F1 59
0160 | 80 BB C9 32 EB C8 67 98 54 6F 78 A8 3F FD EC 4F
0170 | 31 FE 31 CE 22 E9 36 F6 52 39 45 B7 E7 D2 96 3E
0180 | A3 C6 29 7E 06 71 43 DB 04 BA 02 C7 13 50 B9 4E
0190 | 7D 42 C9 A9 91 6C B5 61 6A F0 AA 38 62 EB 4E 95
01A0 | E3 96 CB 4E 2D 02 80 A2 D6 33 1A 8F D2 75 3D E1
01B0 | 05 C7 71 BD 85 85 B2 9B 49 7E 0A 66 8C 74 3C 13
01C0 | 27 FE A8 76 7B 85 EA A7 AE 39 CB 07 66 FC 9C 8C
01D0 | 21 14 B4 77 0B E0 F6 3D B5 17 A0 D4 87 A4 3C 94
01E0 | 65 18 9B D1 BE D2 B3 59 7A 27 98 66 98 91 BE B8
01F0 | 5A 05 55 4B B9 AA 1C B9 36 5B 7E 7F E1 82 77 D7
0200 | A2 6F DD 60 E8 8F FF 88 F7 6A 97 1A 3F E2 C6 D7
0210 | 9B B5 0A 7A B3 4C B5 77 46 BE 0C 73 55 0A 81 E8
0220 | 32 6E C2 1E 7E 43 EE BC F4 84 45 95 7A FD 09 2A
0230 | 61 01 98 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 = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
@ -594,13 +594,13 @@ answer = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
<tr>
<td>g_a</td>
<td>300, 260</td>
<td><code>FE0001005B57056EC5B18248D9025587</code> <code>ACC41539DA38DEC882C7CE8B33D065D7</code> <code>D4149BC8599AA807F4E2300F780B5BD8</code> <code>7A78F3419330F29577E1934A29349993</code> <code>8D45812E32F538DFDB13EC07EA4823F8</code> <code>D8DC754073E82F336BABDF7A3F239FA2</code> <code>3039B63359DF087C3AE3B1F6716E7251</code> <code>C06EA990F9F39263894BECB66C4BA14D</code> <code>D175D01775EE0C701DAF6455127A91E0</code> <code>88C304E34209BE5469AB964BC6887DF0</code> <code>17B6913DA48448055ED200C9713349A2</code> <code>78F1F216B88CAA2E9B438905938F3103</code> <code>6841B36A8B1C61FCE1651951C6606B16</code> <code>6AE5BBBE1810B127137CA7C83798DA36</code> <code>3ED1A10823951555BBC1ED4B4CB833D6</code> <code>22C3274ABD211C1B891C10AF6F213DC0</code><br> <code>29BA9A33</code></td>
<td><code>FE000100848D0735BEB3B42FBEB066B6</code> <code>DF1D42A79F842F18753D8F6369E1C82B</code> <code>C7B44A940F43A96BAC92C199BD25533C</code> <code>0507F15980BBC932EBC86798546F78A8</code> <code>3FFDEC4F31FE31CE22E936F6523945B7</code> <code>E7D2963EA3C6297E067143DB04BA02C7</code> <code>1350B94E7D42C9A9916CB5616AF0AA38</code> <code>62EB4E95E396CB4E2D0280A2D6331A8F</code> <code>D2753DE105C771BD8585B29B497E0A66</code> <code>8C743C1327FEA8767B85EAA7AE39CB07</code> <code>66FC9C8C2114B4770BE0F63DB517A0D4</code> <code>87A43C9465189BD1BED2B3597A279866</code> <code>9891BEB85A05554BB9AA1CB9365B7E7F</code> <code>E18277D7A26FDD60E88FFF88F76A971A</code> <code>3FE2C6D79BB50A7AB34CB57746BE0C73</code> <code>550A81E8326EC21E7E43EEBCF4844595</code><br> <code>7AFD092A</code></td>
<td><code>g_a</code> diffie-hellman parameter</td>
</tr>
<tr>
<td>server_time</td>
<td>560, 4</td>
<td><code>F2FF9766</code> (1721237490 in decimal)</td>
<td><code>61019866</code> (1721237857 in decimal)</td>
<td>Server time</td>
</tr>
</tbody>
@ -609,34 +609,34 @@ answer = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
<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 = 754842D64FD22308A0ADC9E83A1A4C2185DB50FC34336706E5F2A5E7B3B061A0DAA59065C69F2ACF9DF208617E46204390E4BB74DA8E5B0FF5D2D4F906A2478B5A91052BDFDEC6AEA98A693E36C9D73A217ACBA8BB848AB936E9100AF788D9977F5125073063D568EE2DF4AEEA0FB4DE4C3D0C844AC8E5B605F481D4CB977134BFAB7D2387D070C7B28BD7DAF056D4A87F512610E12DB4021556BE8803EE5E26090E1747C90CB7924FF1940B3FEABB612DA24F336F6CF9BB3FFD4497827E10B606946E3E9CAB3215EF56923BDB68D3F56DB7EBE4A0C507DECEDD6AE4DF2E1DF22F9C611D62989E5F618D1B1C376678BECF846F3C1D42C0D5C50CE93B447E4BED</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 B9 58 7B 31 62 35 59 60 8E 08 A7 B2
0010 | DD 03 72 43 4D 59 F0 77 89 8A A1 E4 AC C4 5F 5C
0020 | 77 9B 3C E2 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 75 48 42 D6 4F D2 23 08 A0 AD C9 E8 3A 1A 4C 21
0040 | 85 DB 50 FC 34 33 67 06 E5 F2 A5 E7 B3 B0 61 A0
0050 | DA A5 90 65 C6 9F 2A CF 9D F2 08 61 7E 46 20 43
0060 | 90 E4 BB 74 DA 8E 5B 0F F5 D2 D4 F9 06 A2 47 8B
0070 | 5A 91 05 2B DF DE C6 AE A9 8A 69 3E 36 C9 D7 3A
0080 | 21 7A CB A8 BB 84 8A B9 36 E9 10 0A F7 88 D9 97
0090 | 7F 51 25 07 30 63 D5 68 EE 2D F4 AE EA 0F B4 DE
00A0 | 4C 3D 0C 84 4A C8 E5 B6 05 F4 81 D4 CB 97 71 34
00B0 | BF AB 7D 23 87 D0 70 C7 B2 8B D7 DA F0 56 D4 A8
00C0 | 7F 51 26 10 E1 2D B4 02 15 56 BE 88 03 EE 5E 26
00D0 | 09 0E 17 47 C9 0C B7 92 4F F1 94 0B 3F EA BB 61
00E0 | 2D A2 4F 33 6F 6C F9 BB 3F FD 44 97 82 7E 10 B6
00F0 | 06 94 6E 3E 9C AB 32 15 EF 56 92 3B DB 68 D3 F5
0100 | 6D B7 EB E4 A0 C5 07 DE CE DD 6A E4 DF 2E 1D F2
0110 | 2F 9C 61 1D 62 98 9E 5F 61 8D 1B 1C 37 66 78 BE
0120 | CF 84 6F 3C 1D 42 C0 D5 C5 0C E9 3B 44 7E 4B ED</code></pre>
<pre><code>0000 | 54 B6 43 66 05 FE F5 95 9C 0D 66 54 3D F2 34 62
0010 | 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65 5B 12 6D F4
0020 | E6 40 2E CC 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 34 6F A2 2E 13 0D 06 F9 AF 25 A7 E3 98 F1 58 93
0040 | 87 80 30 13 6A 4A C8 99 62 4B EE 0E 7E CB B2 8E
0050 | 8A EA 22 7D 06 BC 2D 06 F3 B9 E8 A0 B7 A6 73 C2
0060 | 42 A3 6F 88 D2 31 6D A0 D9 D5 C5 46 46 E1 EF 02
0070 | 8F 27 41 BB EB 2F 51 FD 22 98 12 00 B7 39 53 D4
0080 | 53 D1 13 19 2A 38 F8 89 96 FA FD 11 B9 FD 78 72
0090 | 4F EA 55 BB 73 C8 82 EE 4B BA 54 70 B8 85 71 89
00A0 | AC CE 64 2E A2 38 F3 43 E7 3E FD A7 E8 45 77 83
00B0 | 33 52 F4 54 E6 FA D5 42 80 78 C0 DE 9A 5D 5F DC
00C0 | EA 5F 69 94 E1 E5 8F DA F3 7C 78 64 4F 17 03 60
00D0 | D2 01 5C 62 5A 61 57 67 AE 05 0C FA 41 08 C3 8E
00E0 | A5 DD 6D 9A 0D 0F 76 BB 32 8B 3D 49 5F B9 14 46
00F0 | FE A8 43 CD B3 0C 25 BE A2 D5 98 C5 37 3E AA 11
0100 | 1B B6 CE 76 D4 01 3B 3A 98 89 11 3F 60 BC 35 FE
0110 | C7 10 CE C9 FC F5 0B 2D 4D CF 25 A9 E2 8F E1 1B
0120 | 1E 00 C3 DD 84 A6 CC 63 E7 73 11 2C 16 A5 41 78</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 = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>g_b</td>
<td>36, 260</td>
<td><code>FE000100754842D64FD22308A0ADC9E8</code> <code>3A1A4C2185DB50FC34336706E5F2A5E7</code> <code>B3B061A0DAA59065C69F2ACF9DF20861</code> <code>7E46204390E4BB74DA8E5B0FF5D2D4F9</code> <code>06A2478B5A91052BDFDEC6AEA98A693E</code> <code>36C9D73A217ACBA8BB848AB936E9100A</code> <code>F788D9977F5125073063D568EE2DF4AE</code> <code>EA0FB4DE4C3D0C844AC8E5B605F481D4</code> <code>CB977134BFAB7D2387D070C7B28BD7DA</code> <code>F056D4A87F512610E12DB4021556BE88</code> <code>03EE5E26090E1747C90CB7924FF1940B</code> <code>3FEABB612DA24F336F6CF9BB3FFD4497</code> <code>827E10B606946E3E9CAB3215EF56923B</code> <code>DB68D3F56DB7EBE4A0C507DECEDD6AE4</code> <code>DF2E1DF22F9C611D62989E5F618D1B1C</code> <code>376678BECF846F3C1D42C0D5C50CE93B</code><br> <code>447E4BED</code></td>
<td><code>FE000100346FA22E130D06F9AF25A7E3</code> <code>98F15893878030136A4AC899624BEE0E</code> <code>7ECBB28E8AEA227D06BC2D06F3B9E8A0</code> <code>B7A673C242A36F88D2316DA0D9D5C546</code> <code>46E1EF028F2741BBEB2F51FD22981200</code> <code>B73953D453D113192A38F88996FAFD11</code> <code>B9FD78724FEA55BB73C882EE4BBA5470</code> <code>B8857189ACCE642EA238F343E73EFDA7</code> <code>E84577833352F454E6FAD5428078C0DE</code> <code>9A5D5FDCEA5F6994E1E58FDAF37C7864</code> <code>4F170360D2015C625A615767AE050CFA</code> <code>4108C38EA5DD6D9A0D0F76BB328B3D49</code> <code>5FB91446FEA843CDB30C25BEA2D598C5</code> <code>373EAA111BB6CE76D4013B3A9889113F</code> <code>60BC35FEC710CEC9FCF50B2D4DCF25A9</code> <code>E28FE11B1E00C3DD84A6CC63E773112C</code><br> <code>16A54178</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 = BA0D89B5B9587B31623559608E08A7B2DD0372434D59F077898AA1E4ACC45F5C779B3CE
<!-- 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 = 350570234668F78504EFCC02
tmp_aes_key = 68BAFA98D2EF9596E4A16AC8738160B92728CB85D4675BA6C9FA60E0DADD29DC
tmp_aes_iv = A172B2F171E9FC1B5ECAC2E5CA03D4D575FCB68E3BA103EEEF7E5608CE39E5F8</code></pre>
<pre><code>data = 54B6436605FEF5959C0D66543DF234620481AD6F52D19F8AFF7B28655B126DF4E6402ECC0000000000000000FE000100346FA22E130D06F9AF25A7E398F15893878030136A4AC899624BEE0E7ECBB28E8AEA227D06BC2D06F3B9E8A0B7A673C242A36F88D2316DA0D9D5C54646E1EF028F2741BBEB2F51FD22981200B73953D453D113192A38F88996FAFD11B9FD78724FEA55BB73C882EE4BBA5470B8857189ACCE642EA238F343E73EFDA7E84577833352F454E6FAD5428078C0DE9A5D5FDCEA5F6994E1E58FDAF37C78644F170360D2015C625A615767AE050CFA4108C38EA5DD6D9A0D0F76BB328B3D495FB91446FEA843CDB30C25BEA2D598C5373EAA111BB6CE76D4013B3A9889113F60BC35FEC710CEC9FCF50B2D4DCF25A9E28FE11B1E00C3DD84A6CC63E773112C16A54178
padding = 81FD69FCA6AC66BD72B25774
tmp_aes_key = F4B676FBD0BE2784601BACED292ACC443B4ED4435C15A137214B9488342EE984
tmp_aes_iv = 65ED8BAB8D6754E711E05FCAA479C436E5FFDCFC7526DEEFA756685F3964AEA8</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 E6 00 00 F2 FF 97 66
0010 | 78 01 00 00 1F 5F 04 F5 B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43 4D 59 F0 77 89 8A A1 E4
0030 | AC C4 5F 5C 77 9B 3C E2 FE 50 01 00 3C 51 04 4D
0040 | 8D D6 CC 9B 38 DD 2A D4 88 B2 92 91 57 0F EB E3
0050 | 4C F4 77 59 5B FA 0C C4 F1 E2 1C 1A F9 A7 EB F5
0060 | 5C 6E 2D F3 44 28 D6 F5 5F 24 AC 43 7A CD 12 33
0070 | A9 0E D6 D2 AD 93 A3 BF 99 0B 15 FE 48 74 5A 68
0080 | 7E A4 70 C7 23 55 D3 5F A1 07 5F BB 6C BB 95 B5
0090 | 8A E1 DE 60 6E 8F C7 74 1B 14 19 55 1E 32 51 FE
00A0 | CD 4F 73 95 B5 39 75 34 35 A4 68 5B D0 B7 D9 C0
00B0 | 73 2E 20 94 EF 96 F1 A0 7B 03 5D D1 43 4D 4E 62
00C0 | 3F DD B9 55 0E C8 13 B1 3E E3 59 D8 50 0C 0C 96
00D0 | D4 F2 18 4E 26 73 86 8D 95 AB 07 39 27 F0 29 9B
00E0 | 35 C9 A5 E8 79 33 2B A1 C2 1F 73 31 5D DD BF 90
00F0 | 75 74 D2 2A 71 2F 87 91 F8 24 3B F9 18 AB 18 BC
0100 | 2B CC E9 C5 31 42 FF 0B FD 42 C6 9C B1 18 85 2B
0110 | 54 07 C2 BC 75 8B C1 26 27 CD 3A A0 19 45 B9 43
0120 | D1 8B E5 3A B2 C6 DD FD C5 70 7B A5 2A C5 50 E1
0130 | CB F7 1D 78 88 7C CD BD BF 0A AD 34 29 BA B9 E9
0140 | B6 A1 FA E0 9A 3E 03 0E 51 FA D7 8B 4D 14 A1 64
0150 | 9C F5 64 CF 7D 33 0D ED 0C 6B D9 86 4B B5 F9 40
0160 | A6 0D FB C9 A8 0D 21 01 62 E4 B3 F4 52 0D 54 0D
0170 | 7A 48 AA 7B 68 A6 42 E0 60 E0 7D 67 43 80 C8 59
0180 | 2B 15 E7 2F BC 9C 74 23 37 CA ED 47</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 E4 25 0C 00 61 01 98 66
0010 | 78 01 00 00 1F 5F 04 F5 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65
0030 | 5B 12 6D F4 E6 40 2E CC FE 50 01 00 6C 38 FF 22
0040 | F9 54 81 55 26 A6 96 4B 66 4E 1A 2D 1A 55 C0 DB
0050 | 76 0C DF 2A E1 53 6E DE 3B 35 BB D4 AC 7B 53 D5
0060 | 93 EB 0C BC EA AE 98 F6 1B 50 10 0C 7B 32 A6 45
0070 | 03 EB 5A AB 88 7B B1 A6 93 6C F0 B5 FC 55 17 0F
0080 | 33 CF F3 2B 4E 1C 11 12 E3 0F CF AE AD 78 0C 93
0090 | 7A 44 7E A8 7F 1F 31 E4 B4 63 A6 AE 89 21 DA 84
00A0 | 88 0C 7F 31 E1 74 1C 48 68 36 E5 54 BC 61 5E 00
00B0 | B7 ED ED 76 98 8D F6 C8 73 6E 87 74 F4 A6 D2 D2
00C0 | 25 9E 7F A4 07 2F FB D0 08 E2 C4 52 49 3F 21 8D
00D0 | 76 8F E8 76 23 ED ED 20 29 65 23 23 65 08 C5 43
00E0 | 7D 0E 17 90 37 8B D4 8C 5A D0 1D 87 B3 D1 96 45
00F0 | AA 2B B8 67 B1 C9 47 0B 92 9E 65 3A D3 E5 AF 28
0100 | B4 B5 DF D4 D2 50 B5 AE 64 5A D2 8E 59 3C EB F5
0110 | B1 A0 DB 40 47 BE DC C8 62 E0 6E C9 62 E9 66 37
0120 | D3 07 23 89 93 E7 4A 82 65 60 8D 17 B0 7B D0 85
0130 | BD AC 1E 14 E9 38 C4 65 A3 F2 55 31 96 F6 BD 1F
0140 | D1 5A 08 9F F6 42 3D 5D BE B5 F7 86 D7 FB 16 A5
0150 | 3A 56 C4 90 FA 93 DD 30 10 0D FE 6A 36 8C 49 6C
0160 | 70 48 F1 E7 18 CA 1F 56 22 0C AB 61 8D AB 00 77
0170 | 0A 60 15 6D 6A DD 56 AC 4F 8C 10 1F 14 ED 1E 0B
0180 | D4 BC A4 F0 9F 30 9D E9 02 38 D3 06</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>1CE60000F2FF9766</code></td>
<td><code>E4250C0061019866</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>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_data</td>
<td>56, 340</td>
<td><code>FE5001003C51044D8DD6CC9B38DD2AD4</code> <code>88B29291570FEBE34CF477595BFA0CC4</code> <code>F1E21C1AF9A7EBF55C6E2DF34428D6F5</code> <code>5F24AC437ACD1233A90ED6D2AD93A3BF</code> <code>990B15FE48745A687EA470C72355D35F</code> <code>A1075FBB6CBB95B58AE1DE606E8FC774</code> <code>1B1419551E3251FECD4F7395B5397534</code> <code>35A4685BD0B7D9C0732E2094EF96F1A0</code> <code>7B035DD1434D4E623FDDB9550EC813B1</code> <code>3EE359D8500C0C96D4F2184E2673868D</code> <code>95AB073927F0299B35C9A5E879332BA1</code> <code>C21F73315DDDBF907574D22A712F8791</code> <code>F8243BF918AB18BC2BCCE9C53142FF0B</code> <code>FD42C69CB118852B5407C2BC758BC126</code> <code>27CD3AA01945B943D18BE53AB2C6DDFD</code> <code>C5707BA52AC550E1CBF71D78887CCDBD</code> <code>BF0AAD3429BAB9E9B6A1FAE09A3E030E</code> <code>51FAD78B4D14A1649CF564CF7D330DED</code> <code>0C6BD9864BB5F940A60DFBC9A80D2101</code> <code>62E4B3F4520D540D7A48AA7B68A642E0</code> <code>60E07D674380C8592B15E72FBC9C7423</code><br> <code>37CAED47</code></td>
<td><code>FE5001006C38FF22F954815526A6964B</code> <code>664E1A2D1A55C0DB760CDF2AE1536EDE</code> <code>3B35BBD4AC7B53D593EB0CBCEAAE98F6</code> <code>1B50100C7B32A64503EB5AAB887BB1A6</code> <code>936CF0B5FC55170F33CFF32B4E1C1112</code> <code>E30FCFAEAD780C937A447EA87F1F31E4</code> <code>B463A6AE8921DA84880C7F31E1741C48</code> <code>6836E554BC615E00B7EDED76988DF6C8</code> <code>736E8774F4A6D2D2259E7FA4072FFBD0</code> <code>08E2C452493F218D768FE87623EDED20</code> <code>296523236508C5437D0E1790378BD48C</code> <code>5AD01D87B3D19645AA2BB867B1C9470B</code> <code>929E653AD3E5AF28B4B5DFD4D250B5AE</code> <code>645AD28E593CEBF5B1A0DB4047BEDCC8</code> <code>62E06EC962E96637D307238993E74A82</code> <code>65608D17B07BD085BDAC1E14E938C465</code> <code>A3F2553196F6BD1FD15A089FF6423D5D</code> <code>BEB5F786D7FB16A53A56C490FA93DD30</code> <code>100DFE6A368C496C7048F1E718CA1F56</code> <code>220CAB618DAB00770A60156D6ADD56AC</code> <code>4F8C101F14ED1E0BD4BCA4F09F309DE9</code><br> <code>0238D306</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 48 45 A9 F2 FF 97 66
0010 | 70 00 00 00 34 F7 CB 3B B9 58 7B 31 62 35 59 60
0020 | 8E 08 A7 B2 DD 03 72 43 4D 59 F0 77 89 8A A1 E4
0030 | AC C4 5F 5C 77 9B 3C E2 CA 5E 0D 76 F0 F5 A1 55
0040 | 15 27 98 64 69 4F E5 15</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 E4 1C 40 62 01 98 66
0010 | A4 00 00 00 34 F7 CB 3B 05 FE F5 95 9C 0D 66 54
0020 | 3D F2 34 62 04 81 AD 6F 52 D1 9F 8A FF 7B 28 65
0030 | 5B 12 6D F4 E6 40 2E CC D6 11 24 47 54 39 DC 1E
0040 | 8C 17 01 95 CD DA ED 02</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>014845A9F2FF9766</code></td>
<td><code>01E41C4062019866</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>70000000</code> (112 in decimal)</td>
<td><code>A4000000</code> (164 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>B9587B31623559608E08A7B2DD037243</code></td>
<td><code>05FEF5959C0D66543DF234620481AD6F</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>4D59F077898AA1E4ACC45F5C779B3CE2</code></td>
<td><code>52D19F8AFF7B28655B126DF4E6402ECC</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce_hash1</td>
<td>56, 16</td>
<td><code>CA5E0D76F0F5A15515279864694FE515</code></td>
<td><code>D61124475439DC1E8C170195CDDAED02</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>