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54
data/web/corefork.telegram.org/api/bots/webapps.html
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@ -272,9 +272,59 @@ Note that eventual errors will not be sent as a <code>failed</code> event if the
<li><code>status</code> - <code>sent</code> or <code>cancelled</code></li>
</ul>
<p>Used by clients to reply to a <a href="/api/web-events#web-app-request-phone"><code>web_app_request_phone</code> event »</a>, indicating whether the user has shared their phone number with the bot (<code>allowed</code>) or not (<code>cancelled</code>). </p>
<h4><a class="anchor" href="#biometry-auth-requested" id="biometry-auth-requested" name="biometry-auth-requested"><i class="anchor-icon"></i></a><code>biometry_auth_requested</code></h4>
<h4><a class="anchor" href="#biometry-token-updated" id="biometry-token-updated" name="biometry-token-updated"><i class="anchor-icon"></i></a><code>biometry_token_updated</code></h4>
<h4><a class="anchor" href="#biometry-info-received" id="biometry-info-received" name="biometry-info-received"><i class="anchor-icon"></i></a><code>biometry_info_received</code></h4>
<p>Params: a JSON object with the following fields:</p>
<ul>
<li>
<p><code>available</code> - boolean, if true, indicates that biometric authentication is available on the current device.</p>
</li>
<li>
<p><code>type</code> - optional string, set if <code>available</code> is true, contains the type of biometric authentication, one of:</p>
<ul>
<li><code>finger</code> - fingerprint-based biometrics</li>
<li><code>face</code> - face-based biometrics</li>
<li><code>unknown</code> - biometrics of an unknown type</li>
</ul>
</li>
<li>
<p><code>access_requested</code> - boolean, indicates whether the app has previously requested permission to use biometrics through a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a></p>
</li>
<li>
<p><code>access_granted</code> - boolean, indicates whether the user has granted the app permission to use biometrics in response to a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a>.<br>
If false and <code>access_requested</code> is true, may indicate that: </p>
<ul>
<li>The user has simply cancelled the permission popup, in which case a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a> can be emitted to re-open the popup</li>
<li>The user has denied the app permission to use biometrics, in which case the app should open a prompt notifying the user that the biometric settings must be changed to use biometrics, and if the user clicks on the in-app confirm button, a <a href="/api/web-events#web-app-biometry-open-settings">web_app_biometry_open_settings event »</a> must be emitted.</li>
</ul>
<p>Since there is currently no way for apps to distinguish the above two cases, apps must assume the user has denied permission to use biometrics if <code>access_granted</code> is false and <code>access_requested</code> is true. </p>
</li>
<li>
<p><code>token_saved</code> - boolean, whether a token was safely stored on-device by a previous <a href="/api/web-events#web-app-biometry-update-token">web_app_biometry_update_token event »</a>. </p>
</li>
<li>
<p><code>device_id</code> - string, a unique device identifier that can be used to match the token to the device.</p>
</li>
</ul>
<p>Used by clients to reply to a <a href="/api/web-events#web-app-biometry-get-info"><code>web_app_biometry_get_info</code> event »</a> or a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a>. </p>
<h4><a class="anchor" href="#biometry-token-updated" id="biometry-token-updated" name="biometry-token-updated"><i class="anchor-icon"></i></a><code>biometry_token_updated</code></h4>
<p>Params: a JSON object with the following fields:</p>
<ul>
<li><code>status</code> - string, one of:<ul>
<li><code>updated</code> - If the token was successfully updated.</li>
<li><code>removed</code> - If the token was successfully removed.</li>
<li><code>failed</code> - If biometric authentication failed, or the app doesn't have permission to use biometrics (a <a href="#biometry-info-received">biometry_info_received event »</a> event will also be emitted if the app hasn't previously initialized the state using <a href="/api/web-events#web-app-biometry-get-info"><code>web_app_biometry_get_info</code> event »</a> or a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a>). </li>
</ul>
</li>
</ul>
<p>Used by clients to reply to a <a href="/api/web-events#web-app-biometry-update-token"><code>web_app_biometry_update_token</code> event »</a>. </p>
<h4><a class="anchor" href="#biometry-auth-requested" id="biometry-auth-requested" name="biometry-auth-requested"><i class="anchor-icon"></i></a><code>biometry_auth_requested</code></h4>
<p>Params: a JSON object with the following fields:</p>
<ul>
<li><code>status</code> - string, either <code>authorized</code> or <code>failed</code>.<br>
If <code>failed</code>, a <a href="#biometry-info-received">biometry_info_received event »</a> event will also be emitted if the app hasn't previously initialized the state using <a href="/api/web-events#web-app-biometry-get-info"><code>web_app_biometry_get_info</code> event »</a> or a <a href="/api/web-events#web-app-biometry-request-access"><code>web_app_biometry_request_access</code> event »</a>. </li>
<li><code>token</code> - optional string, set if <code>status</code> is <code>authorized</code>, contains the token previously set using the <a href="/api/web-events#web-app-biometry-update-token"><code>web_app_biometry_update_token</code> event »</a>. </li>
</ul>
<p>Used by clients to reply to a <a href="/api/web-events#web-app-biometry-request-auth"><code>web_app_biometry_request_auth</code> biometric authentication request »</a>. </p>
<h4><a class="anchor" href="#custom-method-invoked" id="custom-method-invoked" name="custom-method-invoked"><i class="anchor-icon"></i></a><code>custom_method_invoked</code></h4>
<p>Params: a JSON object with the following fields:</p>
<ul>

2
data/web/corefork.telegram.org/api/effects.html
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@ -75,7 +75,7 @@ Shown in the right bottom corner of the preview animation as a quick way for the
Must also be shown in messages with this effect, near the message date: clicking on this icon should re-trigger the effect. </li>
<li>Preview animation: the <a href="/api/stickers#animated-stickers">animated sticker</a> specified in <code>effect_sticker_id</code>.<br>
Used for the effect selection menu. </li>
<li>Effect animation: a different <a href="/api/stickers#animated-sticker">animated sticker</a>, specified either by <code>effect_animation_id</code> (if set) or by the <a href="/api/stickers#premium-animated-sticker-effects">premium animated sticker effect</a> associated to the animated sticker specified in <code>effect_sticker_id</code> (always different from the animated sticker itself, fetched thanks to the <a href="/constructor/videoSize">videoSize</a> of type <code>f</code> as specified <a href="/api/stickers#premium-animated-sticker-effects">here »</a>).<br>
<li>Effect animation: a different <a href="/api/stickers#animated-stickers">animated sticker</a>, specified either by <code>effect_animation_id</code> (if set) or by the <a href="/api/stickers#premium-animated-sticker-effects">premium animated sticker effect</a> associated to the animated sticker specified in <code>effect_sticker_id</code> (always different from the animated sticker itself, fetched thanks to the <a href="/constructor/videoSize">videoSize</a> of type <code>f</code> as specified <a href="/api/stickers#premium-animated-sticker-effects">here »</a>).<br>
The effect animation should be only played once, when first receiving or sending the message.<br>
Clicking on the preview icon near the message date should re-trigger the effect.</li>
</ul></div>

12
data/web/corefork.telegram.org/api/web-events.html
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@ -110,26 +110,26 @@ Otherwise, if the user refuses or the <a href="/method/bots.allowSendMessage">bo
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to ask the client to initialize the biometric authentication manager object for the current bot, emitting a <a href="/api/bots/webapps#biometry-info-received"><code>biometry_info_received</code> event »</a> on completion. </p>
<p>This request should just initialize the client-side state, i.e. by checking if biometric authentication is even available or not, it should not ask the user anything. </p>
<h4><a class="anchor" href="#web-app-biometry-request-access" id="web-app-biometry-request-access" name="web-app-biometry-request-access"><i class="anchor-icon"></i></a><code>web_app_biometry_request_access</code></h4>
<p>Event data: a JSON object, with an optional <code>reason</code> string field, containing the reason why the bot is asking to use biometric authentication. </p>
<p>Event data: a JSON object, with an optional <code>reason</code> string field (1-128 chars, used in the prompt), containing the reason why the bot is asking to use biometric authentication. </p>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to ask the user permission to use biometric authentication, emitting a <a href="/api/bots/webapps#biometry-info-received"><code>biometry_info_received</code> event »</a> on completion. </p>
<p>This request should not actually prompt biometric authentication, it should just ask the user permission to use them, and a popup should be shown <strong>only</strong> if the user hasn't already allowed or denied the usage of biometric authentication for the bot associated to the mini app. </p>
<h4><a class="anchor" href="#web-app-biometry-update-token" id="web-app-biometry-update-token" name="web-app-biometry-update-token"><i class="anchor-icon"></i></a><code>web_app_biometry_update_token</code></h4>
<p>Event data: a JSON object with the following fields:</p>
<ul>
<li><code>token</code> - The new token (string, max 1024 chars), or an empty string to remove it. </li>
<li><code>reason</code> - Optional string field, containing the reason why the bot is asking to authenticate using biometrics. </li>
<li><code>token</code> - The new token (string, 0-1024 chars), or an empty string to remove it. </li>
<li><code>reason</code> - Optional string field, containing the reason why the bot is asking to authenticate using biometrics (1-128 chars, used in the prompt). </li>
</ul>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to authenticate using biometrics and store the biometric token securely stored on-device, emitting a <a href="/api/bots/webapps#biometry-token-updated"><code>biometry_token_updated</code> event »</a> on completion. </p>
<p>This token (which may be for example the private key of a cryptocurrency wallet, or some other data the app must keep safe) must be safely stored by the Telegram client, associating it to the bot that owns the mini app. </p>
<p>For example, the token may be directly stored in the on-device secure storage, accessible only after biometric authentication, or it may be stored to normal, non-secure storage, but <strong>in encrypted form</strong>, encrypted using the key returned from the device's secure storage after biometric authentication (for example on Android, using the CryptoObject returned by <a href="https://developer.android.com/reference/android/hardware/biometrics/BiometricPrompt.AuthenticationResult#getCryptoObject\(\)">the biometric prompt authentication result</a>). </p>
<p>If the user has <a href="#web-app-biometry-request-access">previously disallowed</a> the bot from using biometric authentication, this request should immediately fail, emitting an appropriate <a href="/api/bots/webapps#biometry-token-updated"><code>biometry_token_updated</code> event »</a>. </p>
<h4><a class="anchor" href="#web-app-biometry-request-auth" id="web-app-biometry-request-auth" name="web-app-biometry-request-auth"><i class="anchor-icon"></i></a><code>web_app_biometry_request_auth</code></h4>
<p>Event data: a JSON object, with an optional <code>reason</code> string field, containing the reason why the bot is asking to authenticate using biometrics. </p>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to authenticate using biometrics, emitting a <a href="/api/bots/webapps#biometry-auth-requested"><code>biometry_auth_requested</code> event »</a> on completion, containing either the error, or the decrypted <a href="#web-app-biometry-update-token">previously stored biometric token »</a> (or an empty string if no token was configured yet). </p>
<p>Event data: a JSON object, with an optional <code>reason</code> string field, containing the reason why the bot is asking to authenticate using biometrics (1-128 chars, used in the prompt). </p>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to authenticate using biometrics, emitting a <a href="/api/bots/webapps#biometry-auth-requested"><code>biometry_auth_requested</code> event »</a> on completion, containing either an error, or the decrypted <a href="#web-app-biometry-update-token">previously stored biometric token »</a> (or an empty string if no token was configured yet). </p>
<p>If the user has <a href="#web-app-biometry-request-access">previously disallowed</a> the bot from using biometric authentication, this request should immediately fail, emitting an appropriate <a href="/api/bots/webapps#biometry-auth-requested"><code>biometry_auth_requested</code> event »</a>. </p>
<h4><a class="anchor" href="#web-app-biometry-open-settings" id="web-app-biometry-open-settings" name="web-app-biometry-open-settings"><i class="anchor-icon"></i></a><code>web_app_biometry_open_settings</code></h4>
<p>Event data: <code>null</code></p>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to open the biometric authentication settings page for bots, useful when the app needs to request biometrics access from users who have previously denied it.</p>
<p>Emitted by <a href="/api/bots/webapps">bot mini apps</a> to open the biometric authentication settings page for bots, useful when the app needs to request permission to use biometrics from users who have previously denied it.</p>
<p>Note that this event should only be handled in response to user interaction with the Mini App interface (e.g. a click inside the Mini App or on the main button), and it must be handled at most once a second. </p>
<h4><a class="anchor" href="#web-app-invoke-custom-method" id="web-app-invoke-custom-method" name="web-app-invoke-custom-method"><i class="anchor-icon"></i></a><code>web_app_invoke_custom_method</code></h4>
<p>Event data: a JSON object with the following fields:</p>

412
data/web/corefork.telegram.org/mtproto/samples-auth_key.html
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@ -53,9 +53,9 @@
<h5><a class="anchor" href="#1-client-sends-query-to-server" id="1-client-sends-query-to-server" name="1-client-sends-query-to-server"><i class="anchor-icon"></i></a>1) Client sends query to server</h5>
<!-- start req_pq_multi -->
<p>Sent payload (excluding transport headers/trailers):</p>
<pre><code>0000 | 00 00 00 00 00 00 00 00 B8 BE 04 00 B6 3D 9D 66
0010 | 14 00 00 00 F1 8E 7E BE 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 C0 62 0C 00 0F 09 9E 66
0010 | 14 00 00 00 F1 8E 7E BE FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2</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>B8BE0400B63D9D66</code></td>
<td><code>C0620C000F099E66</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>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</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 8C 1A 5D B6 3D 9D 66
0010 | B8 00 00 00 63 24 16 05 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C B3 67 26 72 28 78 35 1C
0030 | 62 90 B0 C8 9A C5 42 4A 08 1A BF 15 42 72 62 52
0040 | 5D 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 5C F7 B5 0F 09 9E 66
0010 | 54 00 00 00 63 24 16 05 FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB
0030 | BC DC 58 F8 8E 1E 3A E8 08 21 F7 74 9A 09 EA 98
0040 | A3 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>018C1A5DB63D9D66</code></td>
<td><code>015CF7B50F099E66</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>54000000</code> (84 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -150,19 +150,19 @@
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Server-generated random number</td>
</tr>
<tr>
<td>pq</td>
<td>56, 12</td>
<td><code>081ABF15427262525D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1927282540668932701</td>
<td><code>0821F7749A09EA98A3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2447553127439308963</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 = 1927282540668932701</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>1927282540668932701 = 1378271773 * 1398332737</code></p>
<pre><code>p = 1378271773
q = 1398332737</code></pre>
<pre><code>pq = 2447553127439308963</code></pre>
<p>Decompose into 2 prime cofactors <code>p &lt; q</code>: <code>2447553127439308963 = 1284150331 * 1905970873</code></p>
<pre><code>p = 1284150331
q = 1905970873</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 BF 15 42 72 62 52 5D 00 00 00
0010 | 04 52 26 C2 1D 00 00 00 04 53 58 DD 41 00 00 00
0020 | 40 80 21 19 68 68 1D 6D 1F DE 74 E0 B0 4F 71 6C
0030 | B3 67 26 72 28 78 35 1C 62 90 B0 C8 9A C5 42 4A
0040 | 82 C1 B9 BB 22 20 B4 18 75 C3 99 43 07 E3 9C 38
0050 | 18 6D 22 DE CA 59 44 DB 8F 23 89 0F 1B C7 FC 26
<pre><code>0000 | 95 5F F5 A9 08 21 F7 74 9A 09 EA 98 A3 00 00 00
0010 | 04 4C 8A 94 3B 00 00 00 04 71 9A CE B9 00 00 00
0020 | FE 7E E3 8C 9F B2 A0 E1 5D 1A BB 74 C2 E1 33 D2
0030 | B1 1B 06 86 D3 43 E5 FB BC DC 58 F8 8E 1E 3A E8
0040 | 2E 2D 46 44 8E CC BF CD E4 D0 55 64 EA 29 5F 70
0050 | A8 27 B4 1B 52 A7 88 64 78 21 FA 22 80 5B 01 79
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 = 1398332737</code></pre>
<tr>
<td>pq</td>
<td>4, 12</td>
<td><code>081ABF15427262525D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1927282540668932701</td>
<td><code>0821F7749A09EA98A3000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 2447553127439308963</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>045226C21D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1378271773</td>
<td><code>044C8A943B000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1284150331</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>045358DD41000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1398332737</td>
<td><code>04719ACEB9000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1905970873</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>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>48, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce</td>
<td>64, 32</td>
<td><code>82C1B9BB2220B41875C3994307E39C38</code> <code>186D22DECA5944DB8F23890F1BC7FC26</code></td>
<td><code>2E2D46448ECCBFCDE4D05564EA295F70</code> <code>A827B41B52A788647821FA22805B0179</code></td>
<td>Client-generated random number</td>
</tr>
<tr>
@ -291,39 +291,39 @@ q = 1398332737</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 = 955FF5A9081ABF15427262525D000000045226C21D000000045358DD410000004080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424A82C1B9BB2220B41875C3994307E39C38186D22DECA5944DB8F23890F1BC7FC2602000000
random_padding_bytes = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6D7508621F5EABCA8E4DEE7EF43F52B7446354BB27E00E64684B729BA4446A77BD5CB2A1FF4564EB8553A38D18644B4C090DDDDDD2E0C32CC0905C43FE3C039F</code></pre>
<pre><code>data = 955FF5A90821F7749A09EA98A3000000044C8A943B00000004719ACEB9000000FE7EE38C9FB2A0E15D1ABB74C2E133D2B11B0686D343E5FBBCDC58F88E1E3AE82E2D46448ECCBFCDE4D05564EA295F70A827B41B52A788647821FA22805B017902000000
random_padding_bytes = CD8C4EDA27DA91F03C9F8CF051671783BD56D31E5B19B9CFA703A84F0E9DBE62D2E45EA494E1BAF3D8D9A331D758DB115263DE35EB87D32EE526D4AB2F78169F9E6D1EDC3D5B6F16EF5976040CE69FCEF80F0E8B5E75E89419B3D7B8</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 F0 79 0D 00 B6 3D 9D 66
0010 | 40 01 00 00 BE E4 12 D7 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C B3 67 26 72 28 78 35 1C
0030 | 62 90 B0 C8 9A C5 42 4A 04 52 26 C2 1D 00 00 00
0040 | 04 53 58 DD 41 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 3B 91 E3 BC 3E 7A 74 52 70 48 A6 98
0060 | 39 68 9A AF CB C7 A1 15 40 B5 8F 02 8D AE C6 E3
0070 | EE B3 82 C4 1B 8F F1 B5 E2 86 AF 02 7B 20 33 A3
0080 | F0 35 53 C1 26 97 C2 6A 02 B1 16 22 92 31 ED 73
0090 | 09 FD F4 AA 45 16 F5 63 EC 3E 48 42 94 A9 B1 B1
00A0 | AE BD F7 AA 98 73 B0 C5 57 68 68 B5 DF 0C CE 35
00B0 | 7C 2D 51 A9 B7 66 4A B6 5E E9 A7 03 CC 2B 08 90
00C0 | C5 F6 76 22 A6 06 EA 3B 8D 4E E0 8D 0A 97 51 40
00D0 | 69 1A 6E F9 6B F5 6E 66 34 71 6D 76 A0 81 F5 BD
00E0 | E7 10 10 DB 05 A7 81 2A 49 05 CE 1E 15 85 B4 D0
00F0 | 83 09 7F F2 F2 65 00 26 0D 2C FF EC 33 2B 33 07
0100 | D5 6E 09 9D B4 4D EC 8B 11 05 43 CB C1 41 13 EE
0110 | 54 6A F6 E5 DB 8A 2B DC E9 79 9B A4 9C BA BC AF
0120 | EF 0E BC 46 C9 F1 F5 30 84 49 D1 F4 8E BD 39 BE
0130 | 91 89 66 AE BB 9E 7F 51 D1 54 15 EF 40 B1 74 F2
0140 | 70 C3 FE 33 2F 63 A2 88 98 35 FE E2 8D 71 96 31
0150 | BF D8 84 BB</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 C4 62 0C 00 0F 09 9E 66
0010 | 40 01 00 00 BE E4 12 D7 FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB
0030 | BC DC 58 F8 8E 1E 3A E8 04 4C 8A 94 3B 00 00 00
0040 | 04 71 9A CE B9 00 00 00 85 FD 64 DE 85 1D 9D D0
0050 | FE 00 01 00 E2 93 68 A6 A5 6B 64 77 10 52 5E 25
0060 | 91 AE 29 AE 3A E8 D3 5F B0 14 BE 04 6A E7 7F 2F
0070 | FB 3F 11 23 83 50 32 E4 40 6A 6C 83 44 EF 01 95
0080 | 36 CA 43 D4 AB B0 78 09 46 4E D1 99 44 15 E0 C3
0090 | 47 08 C9 6C F3 5B 05 C8 F8 24 8A D3 B3 26 3D 68
00A0 | E2 0D 07 0B 2A DB 55 FA 16 0E F7 6A 95 71 C8 41
00B0 | E5 EB 57 BD EA C2 05 C6 04 9C FF F0 1C 05 52 D5
00C0 | B9 DF CD 1A 4A 01 CF 79 BA F2 E4 2C E1 99 27 C7
00D0 | 6E 38 B0 60 D7 26 0A A2 63 AB 53 09 B5 56 85 AA
00E0 | F3 30 E1 61 66 6F 25 CA F0 3E ED F8 EE 77 64 6C
00F0 | 2B 2A 05 2B 27 2C F7 AD ED D3 26 EB 12 E9 05 A5
0100 | F4 AF 56 FA 68 20 41 6E 56 8C C4 76 D8 47 E3 AA
0110 | A5 EF 7E E1 45 5F 73 40 5F 28 C8 3D 81 65 52 46
0120 | ED 94 17 63 85 DA D0 B1 9F 98 5E 00 73 B4 AB C6
0130 | A2 32 EB FE A0 3A E1 B4 3B D6 62 C5 87 16 76 68
0140 | D3 D5 67 8E CB B6 54 61 D0 A4 6E 67 A5 74 93 30
0150 | 37 F9 01 09</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 = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>F0790D00B63D9D66</code></td>
<td><code>C4620C000F099E66</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 = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>p</td>
<td>56, 8</td>
<td><code>045226C21D000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1378271773</td>
<td><code>044C8A943B000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1284150331</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>045358DD41000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1398332737</td>
<td><code>04719ACEB9000000</code><br>TL byte deserialization <br>=&gt; bigendian conversion to decimal<br>=&gt; 1905970873</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 = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<tr>
<td>encrypted_data</td>
<td>80, 260</td>
<td><code>FE0001003B91E3BC3E7A74527048A698</code> <code>39689AAFCBC7A11540B58F028DAEC6E3</code> <code>EEB382C41B8FF1B5E286AF027B2033A3</code> <code>F03553C12697C26A02B116229231ED73</code> <code>09FDF4AA4516F563EC3E484294A9B1B1</code> <code>AEBDF7AA9873B0C5576868B5DF0CCE35</code> <code>7C2D51A9B7664AB65EE9A703CC2B0890</code> <code>C5F67622A606EA3B8D4EE08D0A975140</code> <code>691A6EF96BF56E6634716D76A081F5BD</code> <code>E71010DB05A7812A4905CE1E1585B4D0</code> <code>83097FF2F26500260D2CFFEC332B3307</code> <code>D56E099DB44DEC8B110543CBC14113EE</code> <code>546AF6E5DB8A2BDCE9799BA49CBABCAF</code> <code>EF0EBC46C9F1F5308449D1F48EBD39BE</code> <code>918966AEBB9E7F51D15415EF40B174F2</code> <code>70C3FE332F63A2889835FEE28D719631</code><br> <code>BFD884BB</code></td>
<td><code>FE000100E29368A6A56B647710525E25</code> <code>91AE29AE3AE8D35FB014BE046AE77F2F</code> <code>FB3F1123835032E4406A6C8344EF0195</code> <code>36CA43D4ABB07809464ED1994415E0C3</code> <code>4708C96CF35B05C8F8248AD3B3263D68</code> <code>E20D070B2ADB55FA160EF76A9571C841</code> <code>E5EB57BDEAC205C6049CFFF01C0552D5</code> <code>B9DFCD1A4A01CF79BAF2E42CE19927C7</code> <code>6E38B060D7260AA263AB5309B55685AA</code> <code>F330E161666F25CAF03EEDF8EE77646C</code> <code>2B2A052B272CF7ADEDD326EB12E905A5</code> <code>F4AF56FA6820416E568CC476D847E3AA</code> <code>A5EF7EE1455F73405F28C83D81655246</code> <code>ED94176385DAD0B19F985E0073B4ABC6</code> <code>A232EBFEA03AE1B43BD662C587167668</code> <code>D3D5678ECBB65461D0A46E67A5749330</code><br> <code>37F90109</code></td>
<td>Value generated above</td>
</tr>
</tbody>
@ -402,47 +402,47 @@ random_padding_bytes = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<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 A4 D8 29 B7 3D 9D 66
0010 | AC 02 00 00 5C 07 E8 D0 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C B3 67 26 72 28 78 35 1C
0030 | 62 90 B0 C8 9A C5 42 4A FE 50 02 00 70 FE 0D 16
0040 | F2 3A 36 FD 82 B1 3F 67 00 FD CA 7D 0B 30 F9 76
0050 | 71 B3 D4 92 79 66 0D 45 9F 40 6E A3 DF 4C CA 6C
0060 | CB 2B 46 EF 18 1A C2 7A 28 41 01 D4 8B 64 EE 55
0070 | F9 72 C5 58 33 2B 82 0E E0 01 13 F1 6B C1 1A 6B
0080 | 14 75 A4 38 A7 3C B8 1E 8B 99 58 98 E6 30 7B 46
0090 | A4 BB CC D1 EF 77 1D 40 03 61 13 F2 39 BF B8 37
00A0 | 38 A9 00 94 4E A9 C9 F4 79 0D FA DD 71 43 F1 DF
00B0 | 1C A7 77 89 E3 43 5D 7A 5B 28 A1 30 1E 11 CF CC
00C0 | 2D 59 D1 79 13 2C DF C3 98 AB 31 19 7F DE F8 A0
00D0 | E5 B0 38 7D 9F D5 64 38 EB 7A 5E 74 B9 89 F8 06
00E0 | EC CB 14 B9 BC DD E1 A2 5F 7B 18 0D 0A B8 1A B3
00F0 | 74 CB 06 61 B1 8E 7C 8A 14 06 D3 C9 6A 92 26 F4
0100 | 91 06 18 48 7A 69 F5 AD FE EE 14 53 B2 7A 1D F9
0110 | CB E1 62 81 45 1C 59 18 38 6F E7 93 44 9E B7 3E
0120 | D7 DD FC 65 DB 6F F7 85 1B 2B 63 06 85 66 54 02
0130 | 12 08 F2 90 D2 00 A9 F4 52 4B E5 48 71 63 0F 0D
0140 | 4E 9E 23 87 A6 DB 01 5B 6B 82 65 31 82 29 64 4D
0150 | BD F0 72 12 DA C2 0A 41 4E CE E3 2E C3 50 57 47
0160 | C3 C8 62 8D B9 97 23 D3 BD FB D4 9B 0A BE 5C 85
0170 | 84 30 9B 6A 8F 77 B8 7D 09 3B 3E 85 3C 7D 8A F5
0180 | 89 6E B0 D1 AD F8 A2 19 1F AC 7F 92 51 F8 0E 2A
0190 | 48 58 8B 4C 58 CE 9F 93 15 EE C6 34 C8 3C 0F 8D
01A0 | A2 B3 02 3A 8C BA 91 C3 50 C6 1A 19 CC AB 32 FF
01B0 | 85 70 55 C6 E0 DF 9B D3 99 A7 34 9A FF 20 C5 32
01C0 | 20 B5 86 0E D5 76 70 C6 17 78 48 8F BC FD D1 14
01D0 | 96 BD A6 95 3E A4 F5 0F 57 D1 BC 25 57 B2 07 A7
01E0 | B9 E3 7D 3D 5B 20 03 99 28 A9 6D 07 17 36 32 0C
01F0 | F0 D6 97 B2 00 50 D6 7A 96 87 F6 F8 03 94 9A 68
0200 | 53 35 AF 1A E0 8F EC F3 FF C5 F3 53 77 C5 37 63
0210 | C5 94 4A 3C 14 86 1D F2 43 7C 1B B1 3B D4 E1 86
0220 | FF 1B CD C0 27 1F F1 58 A5 A4 F7 00 8A D4 DF D3
0230 | AB 6E F1 FF 8D B0 40 20 1D B4 09 0C 5B D6 E9 AA
0240 | 30 C5 6C ED 46 26 08 DA 6F 87 87 70 F2 B9 87 88
0250 | 68 64 70 33 1E 8F 5D 1C A0 83 AA 2C 21 B4 09 18
0260 | AB E8 3E 73 52 AA EE 46 57 D7 84 69 E9 36 6D 35
0270 | 08 6E 07 DB 05 72 F4 67 66 9D 54 34 2A 17 C2 78
0280 | E3 10 2D 99 0C 08 48 E2 41 29 41 1E</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 B8 EC 79 10 09 9E 66
0010 | D4 02 00 00 5C 07 E8 D0 FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB
0030 | BC DC 58 F8 8E 1E 3A E8 FE 50 02 00 84 40 93 D5
0040 | 80 3E 05 63 86 D8 C8 9B 88 80 04 03 45 18 3F FB
0050 | 82 DD 62 1D DA 6D 88 DA 41 A4 8D 86 E9 E3 AD F2
0060 | 48 53 5B 80 4E 72 44 A0 71 33 47 6C 01 E1 B0 00
0070 | CE C8 15 C5 F7 B8 8E 4D 0D 05 F6 C9 42 10 EA 34
0080 | D5 FC 6A DD 2D B9 87 63 0A 01 84 86 7C 7D E2 C1
0090 | EB 45 78 E5 91 F0 88 47 B8 C4 0F 82 85 D4 6C C2
00A0 | 51 37 17 75 F3 79 28 96 55 9A BF 0C 8F 16 8C 4D
00B0 | E1 D6 0B 4C AA A1 81 F8 2F ED DC 3C FB 6C BC 4A
00C0 | 7D B1 2B F8 79 8C 10 2A 83 9E 9D C5 1E 6F 7F 97
00D0 | 80 27 A3 B0 A2 47 68 5A 3C 0F 1D CB 12 CE 0D 29
00E0 | 20 37 EA 78 C7 B1 50 F3 A6 FD 31 82 9D 10 EF 21
00F0 | 22 4F 10 BE B9 A7 3D E7 2B 3B 87 E2 8E 47 78 EE
0100 | D0 DA 4C 19 31 05 D4 36 C4 E6 FD 4A C1 60 8D 01
0110 | CB D3 E7 E1 D7 8E 96 B9 D8 DC 3C 37 F1 2B 72 05
0120 | 5F 88 DA 9B EA E2 26 BA 60 1D EC FE 20 D5 D9 72
0130 | 2F E5 34 B8 45 74 5F BF A0 B2 AE 46 7F 9A 42 5A
0140 | 6F CE 0A 4E 58 B9 AA 51 6A BC C6 8B 78 C6 4E 63
0150 | 4C DE A3 53 21 C3 79 99 D4 74 DB 0B 38 02 57 5A
0160 | 08 65 69 19 9E 14 27 B7 D9 F2 D6 D4 62 4C 48 83
0170 | AC 6C 7F 37 F8 37 12 E2 3D F8 D5 67 F7 56 DC 00
0180 | 2A 59 94 E6 65 7E 63 4F CD 0F B3 29 AD B2 89 54
0190 | E5 CD EB C8 8B A8 10 19 A2 3C A9 2B 49 D1 39 2D
01A0 | A1 6B D9 81 7F 27 47 87 03 F1 65 FD 8D 1D 07 7B
01B0 | 8C 44 C9 25 AD 3A 11 95 2E A5 CC 20 F9 4B 2C C6
01C0 | 4D B6 5B 11 EC DA 51 18 69 5F 8D FD E1 F4 CA B2
01D0 | D4 4D 0E 57 07 89 D4 A1 FA E6 5C EB D4 57 3C A4
01E0 | D5 5A 5C E9 9C E3 5D 3E 2F D5 CC 60 74 A2 D7 46
01F0 | 65 69 7D D1 AB D8 9C 24 F0 39 2F 07 9E FB 4A A8
0200 | AB 93 BE C6 CE 8A 7C 1A 94 D4 15 25 18 9F 9C DC
0210 | 86 29 77 7A 8F C5 E2 A8 09 AC A8 01 F5 69 5A BC
0220 | FC A4 2C BA F4 E7 78 63 46 74 9C B8 93 7A B5 F4
0230 | 76 C7 F2 04 3C 8D F9 91 60 0F AB 01 CD A7 CC 4C
0240 | 3B AA 38 A7 56 B4 15 B6 59 2A 47 E4 10 82 76 66
0250 | 33 4C EF 01 F6 9F 68 15 24 9E 0E EA 4C DF D7 C7
0260 | A3 E0 9C B4 C0 D3 16 96 A8 0D 52 78 7B E0 B6 47
0270 | CC 71 69 12 26 55 B0 3F 72 BA A3 00 34 F8 12 62
0280 | DA 9E 2F 53 1B DE FB 57 56 C3 21 8F</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 = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<tr>
<td>message_id</td>
<td>8, 8</td>
<td><code>01A4D829B73D9D66</code></td>
<td><code>01B8EC7910099E66</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>AC020000</code> (684 in decimal)</td>
<td><code>D4020000</code> (724 in decimal)</td>
<td>Message body length</td>
</tr>
<tr>
@ -482,19 +482,19 @@ random_padding_bytes = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<tr>
<td>nonce</td>
<td>24, 16</td>
<td><code>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_answer</td>
<td>56, 596</td>
<td><code>FE50020070FE0D16F23A36FD82B13F67</code> <code>00FDCA7D0B30F97671B3D49279660D45</code> <code>9F406EA3DF4CCA6CCB2B46EF181AC27A</code> <code>284101D48B64EE55F972C558332B820E</code> <code>E00113F16BC11A6B1475A438A73CB81E</code> <code>8B995898E6307B46A4BBCCD1EF771D40</code> <code>036113F239BFB83738A900944EA9C9F4</code> <code>790DFADD7143F1DF1CA77789E3435D7A</code> <code>5B28A1301E11CFCC2D59D179132CDFC3</code> <code>98AB31197FDEF8A0E5B0387D9FD56438</code> <code>EB7A5E74B989F806ECCB14B9BCDDE1A2</code> <code>5F7B180D0AB81AB374CB0661B18E7C8A</code> <code>1406D3C96A9226F4910618487A69F5AD</code> <code>FEEE1453B27A1DF9CBE16281451C5918</code> <code>386FE793449EB73ED7DDFC65DB6FF785</code> <code>1B2B6306856654021208F290D200A9F4</code> <code>524BE54871630F0D4E9E2387A6DB015B</code> <code>6B8265318229644DBDF07212DAC20A41</code> <code>4ECEE32EC3505747C3C8628DB99723D3</code> <code>BDFBD49B0ABE5C8584309B6A8F77B87D</code> <code>093B3E853C7D8AF5896EB0D1ADF8A219</code> <code>1FAC7F9251F80E2A48588B4C58CE9F93</code> <code>15EEC634C83C0F8DA2B3023A8CBA91C3</code> <code>50C61A19CCAB32FF857055C6E0DF9BD3</code> <code>99A7349AFF20C53220B5860ED57670C6</code> <code>1778488FBCFDD11496BDA6953EA4F50F</code> <code>57D1BC2557B207A7B9E37D3D5B200399</code> <code>28A96D071736320CF0D697B20050D67A</code> <code>9687F6F803949A685335AF1AE08FECF3</code> <code>FFC5F35377C53763C5944A3C14861DF2</code> <code>437C1BB13BD4E186FF1BCDC0271FF158</code> <code>A5A4F7008AD4DFD3AB6EF1FF8DB04020</code> <code>1DB4090C5BD6E9AA30C56CED462608DA</code> <code>6F878770F2B98788686470331E8F5D1C</code> <code>A083AA2C21B40918ABE83E7352AAEE46</code> <code>57D78469E9366D35086E07DB0572F467</code> <code>669D54342A17C278E3102D990C0848E2</code><br> <code>4129411E</code></td>
<td><code>FE500200844093D5803E056386D8C89B</code> <code>8880040345183FFB82DD621DDA6D88DA</code> <code>41A48D86E9E3ADF248535B804E7244A0</code> <code>7133476C01E1B000CEC815C5F7B88E4D</code> <code>0D05F6C94210EA34D5FC6ADD2DB98763</code> <code>0A0184867C7DE2C1EB4578E591F08847</code> <code>B8C40F8285D46CC251371775F3792896</code> <code>559ABF0C8F168C4DE1D60B4CAAA181F8</code> <code>2FEDDC3CFB6CBC4A7DB12BF8798C102A</code> <code>839E9DC51E6F7F978027A3B0A247685A</code> <code>3C0F1DCB12CE0D292037EA78C7B150F3</code> <code>A6FD31829D10EF21224F10BEB9A73DE7</code> <code>2B3B87E28E4778EED0DA4C193105D436</code> <code>C4E6FD4AC1608D01CBD3E7E1D78E96B9</code> <code>D8DC3C37F12B72055F88DA9BEAE226BA</code> <code>601DECFE20D5D9722FE534B845745FBF</code> <code>A0B2AE467F9A425A6FCE0A4E58B9AA51</code> <code>6ABCC68B78C64E634CDEA35321C37999</code> <code>D474DB0B3802575A086569199E1427B7</code> <code>D9F2D6D4624C4883AC6C7F37F83712E2</code> <code>3DF8D567F756DC002A5994E6657E634F</code> <code>CD0FB329ADB28954E5CDEBC88BA81019</code> <code>A23CA92B49D1392DA16BD9817F274787</code> <code>03F165FD8D1D077B8C44C925AD3A1195</code> <code>2EA5CC20F94B2CC64DB65B11ECDA5118</code> <code>695F8DFDE1F4CAB2D44D0E570789D4A1</code> <code>FAE65CEBD4573CA4D55A5CE99CE35D3E</code> <code>2FD5CC6074A2D74665697DD1ABD89C24</code> <code>F0392F079EFB4AA8AB93BEC6CE8A7C1A</code> <code>94D41525189F9CDC8629777A8FC5E2A8</code> <code>09ACA801F5695ABCFCA42CBAF4E77863</code> <code>46749CB8937AB5F476C7F2043C8DF991</code> <code>600FAB01CDA7CC4C3BAA38A756B415B6</code> <code>592A47E410827666334CEF01F69F6815</code> <code>249E0EEA4CDFD7C7A3E09CB4C0D31696</code> <code>A80D52787BE0B647CC7169122655B03F</code> <code>72BAA30034F81262DA9E2F531BDEFB57</code><br> <code>56C3218F</code></td>
<td>See below</td>
</tr>
</tbody>
@ -502,20 +502,20 @@ random_padding_bytes = AD0C622C4B21B55F1940C5E07619EA37E6B0118545D4EA9FD389A5EA6
<!-- 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 = B36D932E42F5E244DAA33A16E2BD3B22482D1AE60775B15BE6CA246AF4D24021
tmp_aes_iv = 537E15CDCCCA06155D814EA3BD1EF74908A51D32AF9E6843F03E831182C1B9BB</code></pre>
<pre><code>encrypted_answer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
tmp_aes_key = 3EA165C07C78DAE58DC98DCEEB5C450C0486C84A89912B7C61FC3DE69B22C462
tmp_aes_iv = 26C2647D816DD787E49CD1779D8972657E8C20954468B1B623AF61492E2D4644</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 40 80 21 19 68 68 1D 6D 1F DE 74 E0
0010 | B0 4F 71 6C B3 67 26 72 28 78 35 1C 62 90 B0 C8
0020 | 9A C5 42 4A 03 00 00 00 FE 00 01 00 C7 1C AE B9
<pre><code>0000 | BA 0D 89 B5 FE 7E E3 8C 9F B2 A0 E1 5D 1A BB 74
0010 | C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB BC DC 58 F8
0020 | 8E 1E 3A E8 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 = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
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 | 90 A3 D5 8D 46 55 04 6B E5 C2 C3 E7 75 8B 03 9F
0140 | 6B ED 52 ED C3 EC 87 39 FF 95 D6 9D 33 F3 ED D0
0150 | 91 B8 A1 D9 6F C1 12 ED 39 99 D6 4E CB 41 32 17
0160 | 19 2B FD DA 6F 98 82 E2 2A CA 4A E0 62 16 17 DE
0170 | 17 E9 9C 4D 16 8C 82 2E 77 9E B9 3D CB BA 1A 69
0180 | 00 36 A1 36 49 A7 C4 66 6D 93 EF 09 1B E7 07 56
0190 | 0C 08 68 7F CF C4 26 53 FB 64 25 0F FB BD AE 04
01A0 | E3 85 DA 51 5F E8 57 F3 23 86 EF D8 94 38 C0 46
01B0 | 34 E8 EE F2 09 66 E9 AC 32 16 EB 5C 25 9E 86 6F
01C0 | 92 65 06 4F 20 25 65 7B 79 79 18 EE 42 79 ED FD
01D0 | 0C EA 47 73 E6 57 95 85 C3 39 8A C3 60 C0 61 02
01E0 | AD 88 18 8D F9 9E 67 84 90 A0 BE 81 B5 10 27 E6
01F0 | 7B CC B8 52 6B 8C E9 A0 42 50 5B 99 20 16 7E 65
0200 | A4 F8 1D 44 0D A8 40 41 81 B7 27 05 5D 7C ED 1A
0210 | F3 19 33 CF 3D F2 88 79 39 C1 ED FF 9C F4 DF 09
0220 | 1A 40 B7 CA 9E CC 51 A3 BD D0 0A 14 EA 01 5A B9
0230 | B7 3D 9D 66</code></pre>
0130 | 46 E7 0B FC C5 BA E4 B1 67 90 86 DC 05 9F 41 3F
0140 | 9D D0 8E 5C F0 FA 1A 49 83 B4 34 8D 73 30 44 21
0150 | E9 2F 88 6B 56 DD 9F 94 03 93 83 50 7A 4F 09 B3
0160 | 13 64 7F 2D 42 5C 07 C3 A2 E2 7A 5F 48 D0 6F 26
0170 | FC 44 7A 23 61 3B B4 E3 D9 72 7A 7A 70 8D A1 0A
0180 | B4 32 A3 B8 40 BA EB AE CD A4 2C 1E 37 EF 15 C6
0190 | DB 83 14 41 75 D2 68 3A F9 91 64 2C 0B E6 36 C4
01A0 | F2 E9 E4 42 FE A9 C2 CF 5A 73 FA B7 D0 BD B1 55
01B0 | 42 AD 75 26 A7 38 0E D1 46 B9 BE 36 D3 7C A7 1E
01C0 | EE 89 CF 3C EA F1 90 BF 2C 60 ED 42 67 0A 8C 2F
01D0 | 33 0E 8A 2E DB 3F 6A 06 6B F0 1C 2C 5C 3C 17 AC
01E0 | 29 46 16 E8 0C 5D EC 7D D7 F5 A6 15 C0 1E FF 23
01F0 | 3A BE FA C6 D3 D2 DC 04 DB 2B F7 2E 36 C2 BF 84
0200 | 4C 85 BC 74 C5 BD FB 0F 58 41 DC 65 F8 3A D0 60
0210 | DF 3A 69 41 D8 0B 05 01 9D 79 FC 73 D7 61 D3 42
0220 | B1 72 AB BD 02 83 F5 6F 10 97 B5 65 A8 AB 7A D6
0230 | 10 09 9E 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 = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
@ -594,13 +594,13 @@ answer = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
<tr>
<td>g_a</td>
<td>300, 260</td>
<td><code>FE00010090A3D58D4655046BE5C2C3E7</code> <code>758B039F6BED52EDC3EC8739FF95D69D</code> <code>33F3EDD091B8A1D96FC112ED3999D64E</code> <code>CB413217192BFDDA6F9882E22ACA4AE0</code> <code>621617DE17E99C4D168C822E779EB93D</code> <code>CBBA1A690036A13649A7C4666D93EF09</code> <code>1BE707560C08687FCFC42653FB64250F</code> <code>FBBDAE04E385DA515FE857F32386EFD8</code> <code>9438C04634E8EEF20966E9AC3216EB5C</code> <code>259E866F9265064F2025657B797918EE</code> <code>4279EDFD0CEA4773E6579585C3398AC3</code> <code>60C06102AD88188DF99E678490A0BE81</code> <code>B51027E67BCCB8526B8CE9A042505B99</code> <code>20167E65A4F81D440DA8404181B72705</code> <code>5D7CED1AF31933CF3DF2887939C1EDFF</code> <code>9CF4DF091A40B7CA9ECC51A3BDD00A14</code><br> <code>EA015AB9</code></td>
<td><code>FE00010046E70BFCC5BAE4B1679086DC</code> <code>059F413F9DD08E5CF0FA1A4983B4348D</code> <code>73304421E92F886B56DD9F9403938350</code> <code>7A4F09B313647F2D425C07C3A2E27A5F</code> <code>48D06F26FC447A23613BB4E3D9727A7A</code> <code>708DA10AB432A3B840BAEBAECDA42C1E</code> <code>37EF15C6DB83144175D2683AF991642C</code> <code>0BE636C4F2E9E442FEA9C2CF5A73FAB7</code> <code>D0BDB15542AD7526A7380ED146B9BE36</code> <code>D37CA71EEE89CF3CEAF190BF2C60ED42</code> <code>670A8C2F330E8A2EDB3F6A066BF01C2C</code> <code>5C3C17AC294616E80C5DEC7DD7F5A615</code> <code>C01EFF233ABEFAC6D3D2DC04DB2BF72E</code> <code>36C2BF844C85BC74C5BDFB0F5841DC65</code> <code>F83AD060DF3A6941D80B05019D79FC73</code> <code>D761D342B172ABBD0283F56F1097B565</code><br> <code>A8AB7AD6</code></td>
<td><code>g_a</code> diffie-hellman parameter</td>
</tr>
<tr>
<td>server_time</td>
<td>560, 4</td>
<td><code>B73D9D66</code> (1721580983 in decimal)</td>
<td><code>10099E66</code> (1721633040 in decimal)</td>
<td>Server time</td>
</tr>
</tbody>
@ -609,34 +609,34 @@ answer = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
<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 40 80 21 19 68 68 1D 6D 1F DE 74 E0
0010 | B0 4F 71 6C B3 67 26 72 28 78 35 1C 62 90 B0 C8
0020 | 9A C5 42 4A 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 0D F7 8F B9 EB C8 FE 4E B1 47 AE FD 5F 27 89 6E
0040 | C8 E6 9C 44 2C 50 5B E2 B6 B5 90 37 35 D6 E7 CC
0050 | 6E 76 7D 35 8A 2E 1F FA 93 C2 B5 D2 3C 68 B1 16
0060 | 20 5E 86 BD 68 62 B9 CE D8 D2 49 9F 05 3B 33 CC
0070 | CA 81 AE 28 7C 88 69 D8 ED B3 88 E5 85 64 33 31
0080 | E0 14 A6 4F C2 03 E8 51 14 7F 40 F6 C4 2E 51 8D
0090 | B1 D7 83 A6 0C DB 1B 29 EC EE BB D3 D0 33 13 D2
00A0 | AE 20 A8 0E 6C 56 6C 65 F1 8B A0 14 65 52 04 F3
00B0 | 5C 65 39 E8 2D DB B0 13 22 70 4C B6 89 3C 1B A5
00C0 | 1A DD AB 67 59 D6 12 B8 11 71 F2 BF F8 B9 59 67
00D0 | 8E E1 D3 3C FB 73 DF BC 9B 7A DE B1 1A 6D 56 2B
00E0 | DA E4 6D BB 4F 7A 7D CE 84 5B 73 3F DF 1A A6 2C
00F0 | 3F EF 99 D2 94 57 AF E9 5A AA 3E 82 70 D2 30 AD
0100 | 59 46 E8 21 18 21 C2 1B 6D 2A 88 E3 73 81 1A 00
0110 | 17 F2 F0 8C FB B0 4D 0D C3 BE 18 BE E8 0C 80 66
0120 | 1F C3 7F FE 05 96 2C DA 14 D6 CD 3A 15 47 49 5B</code></pre>
<pre><code>0000 | 54 B6 43 66 FE 7E E3 8C 9F B2 A0 E1 5D 1A BB 74
0010 | C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB BC DC 58 F8
0020 | 8E 1E 3A E8 00 00 00 00 00 00 00 00 FE 00 01 00
0030 | 57 0C D1 3F AE 7E 98 F3 8D C9 F9 76 65 36 74 A6
0040 | B9 D8 81 76 BF B9 DD A0 A0 44 A7 B6 D2 97 64 0A
0050 | A7 EC 23 38 DA 3C 79 34 FA 76 15 BC 92 E9 B1 1F
0060 | 69 1B 75 33 27 B0 6D 24 53 98 D5 9C 05 81 BE DE
0070 | 54 D1 16 4C E2 2C 20 62 63 80 C3 BE 23 A9 E1 17
0080 | A3 47 A8 1C 6D 60 DF D8 6F EF D3 FC 9D F0 0F 15
0090 | D6 2F 15 A6 80 9B 6A 61 64 11 A8 AC 95 0C 24 70
00A0 | AB F6 1F E7 D5 81 22 09 00 3D 82 1D FD 8F B7 5E
00B0 | 2D 90 49 1E FD 37 45 11 36 6C 5A DF 51 EF B9 E9
00C0 | 51 48 C8 D0 02 7B 9D 80 3B 34 71 B6 D9 D5 3E 7C
00D0 | EC 35 02 C5 D2 89 6B B4 D2 55 C9 6D F2 21 5F 29
00E0 | 6E 13 1E 1E EC 7E C4 A1 24 31 ED 6D B9 50 97 FE
00F0 | 36 BF A7 20 CD 93 40 86 6C 43 7A 31 2A 5E 8F E2
0100 | BE 14 B7 FD DB 37 F5 89 18 87 BB 05 4F CB C5 97
0110 | 74 E8 05 DE DA 23 F0 DC 8D 17 C7 63 62 69 22 36
0120 | 9F 36 46 02 1A 9A 85 12 3E B4 0D AE 5B 91 24 65</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 = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
<tr>
<td>nonce</td>
<td>4, 16</td>
<td><code>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>20, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>g_b</td>
<td>36, 260</td>
<td><code>FE0001000DF78FB9EBC8FE4EB147AEFD</code> <code>5F27896EC8E69C442C505BE2B6B59037</code> <code>35D6E7CC6E767D358A2E1FFA93C2B5D2</code> <code>3C68B116205E86BD6862B9CED8D2499F</code> <code>053B33CCCA81AE287C8869D8EDB388E5</code> <code>85643331E014A64FC203E851147F40F6</code> <code>C42E518DB1D783A60CDB1B29ECEEBBD3</code> <code>D03313D2AE20A80E6C566C65F18BA014</code> <code>655204F35C6539E82DDBB01322704CB6</code> <code>893C1BA51ADDAB6759D612B81171F2BF</code> <code>F8B959678EE1D33CFB73DFBC9B7ADEB1</code> <code>1A6D562BDAE46DBB4F7A7DCE845B733F</code> <code>DF1AA62C3FEF99D29457AFE95AAA3E82</code> <code>70D230AD5946E8211821C21B6D2A88E3</code> <code>73811A0017F2F08CFBB04D0DC3BE18BE</code> <code>E80C80661FC37FFE05962CDA14D6CD3A</code><br> <code>1547495B</code></td>
<td><code>FE000100570CD13FAE7E98F38DC9F976</code> <code>653674A6B9D88176BFB9DDA0A044A7B6</code> <code>D297640AA7EC2338DA3C7934FA7615BC</code> <code>92E9B11F691B753327B06D245398D59C</code> <code>0581BEDE54D1164CE22C20626380C3BE</code> <code>23A9E117A347A81C6D60DFD86FEFD3FC</code> <code>9DF00F15D62F15A6809B6A616411A8AC</code> <code>950C2470ABF61FE7D5812209003D821D</code> <code>FD8FB75E2D90491EFD374511366C5ADF</code> <code>51EFB9E95148C8D0027B9D803B3471B6</code> <code>D9D53E7CEC3502C5D2896BB4D255C96D</code> <code>F2215F296E131E1EEC7EC4A12431ED6D</code> <code>B95097FE36BFA720CD9340866C437A31</code> <code>2A5E8FE2BE14B7FDDB37F5891887BB05</code> <code>4FCBC59774E805DEDA23F0DC8D17C763</code> <code>626922369F3646021A9A85123EB40DAE</code><br> <code>5B912465</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 = BA0D89B54080211968681D6D1FDE74E0B04F716CB36726722878351C6290B0C89AC5424
<!-- 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 = A83123E23232A1AA7936200A
tmp_aes_key = B36D932E42F5E244DAA33A16E2BD3B22482D1AE60775B15BE6CA246AF4D24021
tmp_aes_iv = 537E15CDCCCA06155D814EA3BD1EF74908A51D32AF9E6843F03E831182C1B9BB</code></pre>
<pre><code>data = 54B64366FE7EE38C9FB2A0E15D1ABB74C2E133D2B11B0686D343E5FBBCDC58F88E1E3AE80000000000000000FE000100570CD13FAE7E98F38DC9F976653674A6B9D88176BFB9DDA0A044A7B6D297640AA7EC2338DA3C7934FA7615BC92E9B11F691B753327B06D245398D59C0581BEDE54D1164CE22C20626380C3BE23A9E117A347A81C6D60DFD86FEFD3FC9DF00F15D62F15A6809B6A616411A8AC950C2470ABF61FE7D5812209003D821DFD8FB75E2D90491EFD374511366C5ADF51EFB9E95148C8D0027B9D803B3471B6D9D53E7CEC3502C5D2896BB4D255C96DF2215F296E131E1EEC7EC4A12431ED6DB95097FE36BFA720CD9340866C437A312A5E8FE2BE14B7FDDB37F5891887BB054FCBC59774E805DEDA23F0DC8D17C763626922369F3646021A9A85123EB40DAE5B912465
padding = 93A82B4F98CCB78C36ECC67C
tmp_aes_key = 3EA165C07C78DAE58DC98DCEEB5C450C0486C84A89912B7C61FC3DE69B22C462
tmp_aes_iv = 26C2647D816DD787E49CD1779D8972657E8C20954468B1B623AF61492E2D4644</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 = 0FADE83C081F2D935766DBFA33666AEF249C17339F5AE8BC952D2FD58765672E2DAE53C6885DF337B19B023CEB3BA974905EE6293D85E5061DB24DF7F8DB5A2FE7EF5CD8459AFA74C2CE1D53348073EF99F5FBCD08E3E963FB037D18832C34A0AFBE5C90E420CED585D883DD3538C93C11CB8110560964FE12C51696DDBCBD18A469FBA72B42D57CFA54F6E50D6EC476AF328E70A6213C49A9566A946845E6627EB360EBA89F1AF20E4704792A033DC09C5DDC94070B04D031BE8149A4B720AFC13868DF13144FA299882422DA45EF6B0AC7B09338CFDD4B656D27CBD20AE301D4D160233EB69A9AD6A19F2854C3E5BE0D4AC635FA1CD15540440E9B8A3CBD8E8B3A602057197E78038E988BB0671694E778F531750A5A5DE5BEF31AAB97CAD542048E2C940A1F146F1B6BF030500B6AB67A87B89F57B207A2F6B0053C6ADD8E0AD1728E5DC80280AEFACD9FC7323F2B</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 8C 72 0C 00 B7 3D 9D 66
0010 | 78 01 00 00 1F 5F 04 F5 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C B3 67 26 72 28 78 35 1C
0030 | 62 90 B0 C8 9A C5 42 4A FE 50 01 00 C5 5D 1D A1
0040 | 2C A2 08 34 57 C3 19 3E 67 A1 46 D3 FD 4B D6 79
0050 | 38 CB 13 22 F1 2C AE B1 D9 1E 68 67 6E 6F C9 29
0060 | D3 CA 4A AE 47 02 18 F9 FB D5 26 8B D8 AF 21 DF
0070 | 05 A5 12 D0 7F B0 52 D4 A8 4E 78 37 6F 0B 8A 30
0080 | 5E 19 37 08 29 19 AB E1 29 A0 52 71 33 7F CE E4
0090 | EA EB 4A A5 2E AE EB A3 FC 49 07 DF EB D8 B4 90
00A0 | 4E 8D 99 02 69 DE FE C5 69 FE D4 28 39 75 A3 40
00B0 | AF DD 9F 0B EB 8B AD D4 B0 58 76 5A FA EF CB FA
00C0 | 25 D6 30 57 0F B0 2E C1 45 3C DB 98 DC 5D 4A 53
00D0 | 46 91 DF 1C 12 79 18 7E 1F 19 9E 4C DE 7A C6 1D
00E0 | 94 CA D1 A2 CD AD B9 34 80 0E 15 38 59 4B 4A 5F
00F0 | CC 77 01 05 33 D6 72 C6 FC EF 27 4D 90 9E 80 BC
0100 | 78 D1 C5 59 AE A8 47 10 57 2A 73 28 82 DC CA E9
0110 | CC CA 79 EE 32 38 89 9D 32 28 D7 A5 6E 68 D4 70
0120 | 85 C7 45 86 C0 5E A0 38 82 16 F1 26 A4 79 54 25
0130 | 51 E7 DB 80 E6 04 21 2B 79 71 06 D6 D5 0B 4E 35
0140 | F8 18 F5 36 38 DA E2 24 9B 0B 9A 27 94 27 06 04
0150 | AD C8 AB 9C BD 3C 9A F9 39 A7 5D 69 8B E6 92 81
0160 | E1 85 4F 85 8E C9 F3 8E 89 84 1E 53 F1 85 88 8F
0170 | 84 3D 9D 71 54 95 26 23 1A D5 A4 F4 C6 64 F4 83
0180 | 97 38 88 16 DB 8A 1F F6 D9 FF 2B 41</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 40 0F 05 00 11 09 9E 66
0010 | 78 01 00 00 1F 5F 04 F5 FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB
0030 | BC DC 58 F8 8E 1E 3A E8 FE 50 01 00 0F AD E8 3C
0040 | 08 1F 2D 93 57 66 DB FA 33 66 6A EF 24 9C 17 33
0050 | 9F 5A E8 BC 95 2D 2F D5 87 65 67 2E 2D AE 53 C6
0060 | 88 5D F3 37 B1 9B 02 3C EB 3B A9 74 90 5E E6 29
0070 | 3D 85 E5 06 1D B2 4D F7 F8 DB 5A 2F E7 EF 5C D8
0080 | 45 9A FA 74 C2 CE 1D 53 34 80 73 EF 99 F5 FB CD
0090 | 08 E3 E9 63 FB 03 7D 18 83 2C 34 A0 AF BE 5C 90
00A0 | E4 20 CE D5 85 D8 83 DD 35 38 C9 3C 11 CB 81 10
00B0 | 56 09 64 FE 12 C5 16 96 DD BC BD 18 A4 69 FB A7
00C0 | 2B 42 D5 7C FA 54 F6 E5 0D 6E C4 76 AF 32 8E 70
00D0 | A6 21 3C 49 A9 56 6A 94 68 45 E6 62 7E B3 60 EB
00E0 | A8 9F 1A F2 0E 47 04 79 2A 03 3D C0 9C 5D DC 94
00F0 | 07 0B 04 D0 31 BE 81 49 A4 B7 20 AF C1 38 68 DF
0100 | 13 14 4F A2 99 88 24 22 DA 45 EF 6B 0A C7 B0 93
0110 | 38 CF DD 4B 65 6D 27 CB D2 0A E3 01 D4 D1 60 23
0120 | 3E B6 9A 9A D6 A1 9F 28 54 C3 E5 BE 0D 4A C6 35
0130 | FA 1C D1 55 40 44 0E 9B 8A 3C BD 8E 8B 3A 60 20
0140 | 57 19 7E 78 03 8E 98 8B B0 67 16 94 E7 78 F5 31
0150 | 75 0A 5A 5D E5 BE F3 1A AB 97 CA D5 42 04 8E 2C
0160 | 94 0A 1F 14 6F 1B 6B F0 30 50 0B 6A B6 7A 87 B8
0170 | 9F 57 B2 07 A2 F6 B0 05 3C 6A DD 8E 0A D1 72 8E
0180 | 5D C8 02 80 AE FA CD 9F C7 32 3F 2B</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>8C720C00B73D9D66</code></td>
<td><code>400F050011099E66</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>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>encrypted_data</td>
<td>56, 340</td>
<td><code>FE500100C55D1DA12CA2083457C3193E</code> <code>67A146D3FD4BD67938CB1322F12CAEB1</code> <code>D91E68676E6FC929D3CA4AAE470218F9</code> <code>FBD5268BD8AF21DF05A512D07FB052D4</code> <code>A84E78376F0B8A305E1937082919ABE1</code> <code>29A05271337FCEE4EAEB4AA52EAEEBA3</code> <code>FC4907DFEBD8B4904E8D990269DEFEC5</code> <code>69FED4283975A340AFDD9F0BEB8BADD4</code> <code>B058765AFAEFCBFA25D630570FB02EC1</code> <code>453CDB98DC5D4A534691DF1C1279187E</code> <code>1F199E4CDE7AC61D94CAD1A2CDADB934</code> <code>800E1538594B4A5FCC77010533D672C6</code> <code>FCEF274D909E80BC78D1C559AEA84710</code> <code>572A732882DCCAE9CCCA79EE3238899D</code> <code>3228D7A56E68D47085C74586C05EA038</code> <code>8216F126A479542551E7DB80E604212B</code> <code>797106D6D50B4E35F818F53638DAE224</code> <code>9B0B9A2794270604ADC8AB9CBD3C9AF9</code> <code>39A75D698BE69281E1854F858EC9F38E</code> <code>89841E53F185888F843D9D7154952623</code> <code>1AD5A4F4C664F48397388816DB8A1FF6</code><br> <code>D9FF2B41</code></td>
<td><code>FE5001000FADE83C081F2D935766DBFA</code> <code>33666AEF249C17339F5AE8BC952D2FD5</code> <code>8765672E2DAE53C6885DF337B19B023C</code> <code>EB3BA974905EE6293D85E5061DB24DF7</code> <code>F8DB5A2FE7EF5CD8459AFA74C2CE1D53</code> <code>348073EF99F5FBCD08E3E963FB037D18</code> <code>832C34A0AFBE5C90E420CED585D883DD</code> <code>3538C93C11CB8110560964FE12C51696</code> <code>DDBCBD18A469FBA72B42D57CFA54F6E5</code> <code>0D6EC476AF328E70A6213C49A9566A94</code> <code>6845E6627EB360EBA89F1AF20E470479</code> <code>2A033DC09C5DDC94070B04D031BE8149</code> <code>A4B720AFC13868DF13144FA299882422</code> <code>DA45EF6B0AC7B09338CFDD4B656D27CB</code> <code>D20AE301D4D160233EB69A9AD6A19F28</code> <code>54C3E5BE0D4AC635FA1CD15540440E9B</code> <code>8A3CBD8E8B3A602057197E78038E988B</code> <code>B0671694E778F531750A5A5DE5BEF31A</code> <code>AB97CAD542048E2C940A1F146F1B6BF0</code> <code>30500B6AB67A87B89F57B207A2F6B005</code> <code>3C6ADD8E0AD1728E5DC80280AEFACD9F</code><br> <code>C7323F2B</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 = 765D837CCE3CE170B79A8DA86BE1EC90AC363D4B810DC597668AC02769B9FC4A13856E1E9E40C1E3D33883360A3CB7592D32598776E3365E334611B35E3C6EACC7D4AAC7C2F84C6D3A10EAC8FA3459F10E331EF9032700307A6AAFD0C2EB7FC5D035C9E0502DA4373FC6D0B409465421B84EAE427ACBF98980C46B90A6F69A2D7F927A7C5EBE71EE96D89F0E7945FC301716A7418882803AEEA508DF4DDF0E4698D076219018CD9702378E69117A510AA493B81F65A66AFB8DF25E8EF1438A6FA0856385018FF89D4D888993E0CF661256C3C7F21D200F23B86D82D4EB05597F67B70CD7E8C6C1D32BFBFDB80CF13359E37AD61B2DE109588685B7B342F23572</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 4C EE E9 B7 3D 9D 66
0010 | 94 00 00 00 34 F7 CB 3B 40 80 21 19 68 68 1D 6D
0020 | 1F DE 74 E0 B0 4F 71 6C B3 67 26 72 28 78 35 1C
0030 | 62 90 B0 C8 9A C5 42 4A 99 6C 72 3F 1F EB 67 06
0040 | 05 EE 31 AA 99 DB 40 FE</code></pre>
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 30 B9 9E 11 09 9E 66
0010 | 88 00 00 00 34 F7 CB 3B FE 7E E3 8C 9F B2 A0 E1
0020 | 5D 1A BB 74 C2 E1 33 D2 B1 1B 06 86 D3 43 E5 FB
0030 | BC DC 58 F8 8E 1E 3A E8 40 89 8F 25 3A 28 2A 6C
0040 | 52 F2 6E 65 CB CA 59 DC</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>014CEEE9B73D9D66</code></td>
<td><code>0130B99E11099E66</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>94000000</code> (148 in decimal)</td>
<td><code>88000000</code> (136 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>4080211968681D6D1FDE74E0B04F716C</code></td>
<td><code>FE7EE38C9FB2A0E15D1ABB74C2E133D2</code></td>
<td>Value generated by client in Step 1</td>
</tr>
<tr>
<td>server_nonce</td>
<td>40, 16</td>
<td><code>B36726722878351C6290B0C89AC5424A</code></td>
<td><code>B11B0686D343E5FBBCDC58F88E1E3AE8</code></td>
<td>Value received from server in Step 2</td>
</tr>
<tr>
<td>new_nonce_hash1</td>
<td>56, 16</td>
<td><code>996C723F1FEB670605EE31AA99DB40FE</code></td>
<td><code>40898F253A282A6C52F26E65CBCA59DC</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>