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749 lines
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<div class="dev_page_bread_crumbs"><ul class="breadcrumb clearfix"><li><a href="/mtproto" >Mobile Protocol</a></li><i class="icon icon-breadcrumb-divider"></i><li><a href="/mtproto/samples-auth_key" >samples-auth_key</a></li></ul></div>
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<h1 id="dev_page_title">samples-auth_key</h1>
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<div id="dev_page_content"><p>In the examples below, the <a href="/mtproto#transport">transport</a> headers are omitted:</p>
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<blockquote>
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<p>If a payload (packet) needs to be transmitted from server to client or from client to server, it is encapsulated as follows: 4 bytes are added at the front (to include the length, the sequence number, and CRC32; always divisible by 4) and 4 bytes with the packet sequence number for this TCP connection (the first packet sent is numbered 0, the next one 1, etc.), and 4 CRC32 bytes at the end (length, sequence number, and payload together).</p>
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<p>There is an abridged version of the same protocol: if the client sends <code>0xef</code> as the first byte (<strong>important:</strong> only prior to the very first data packet), then packet length is encoded by a single byte (<code>0x01-0x7e</code> = data length divided by 4; or <code>0x7f</code> followed by 3 bytes (little endian) divided into 4) followed by the data themselves (sequence number and CRC32 not added). In this case, server responses have the same form (although the server does not send <code>0xef</code>as the first byte).</p>
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</blockquote>
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<p>Detailed documentation on creating authorization keys is available <a href="/mtproto/auth_key">here »</a>.</p>
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<h4><a class="anchor" href="#1-request-for-pq-authorization" id="1-request-for-pq-authorization" name="1-request-for-pq-authorization"><i class="anchor-icon"></i></a>1. Request for (p,q) Authorization</h4>
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<pre><code>req_pq#60469778 nonce:int128 = ResPQ</code></pre>
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<table class="table">
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<thead>
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<tr>
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<th>Parameter</th>
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<th>Offset, Length in bytes</th>
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<th>Value</th>
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<th>Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>auth_key_id</td>
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<td>0, 8</td>
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<td><code>0</code></td>
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<td>Since message is in plain text</td>
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</tr>
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<tr>
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<td>message_id</td>
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<td>8, 8</td>
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<td><code>51e57ac42770964a</code></td>
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<td>Exact unixtime * 2^32</td>
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</tr>
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<tr>
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<td>message_length</td>
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<td>16, 4</td>
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<td><code>20</code></td>
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<td>Message body length</td>
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</tr>
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<tr>
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<td>%(req_pq)</td>
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<td>20, 4</td>
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<td><code>60469778</code></td>
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<td>req_pq constructor number from TL schema</td>
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</tr>
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<tr>
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<td>nonce</td>
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<td>24, 16</td>
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<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
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<td>Random number</td>
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</tr>
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</tbody>
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</table>
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<p>The header is 20 bytes long, the message body is 20 bytes long, and the entire message is 40 bytes in length.</p>
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<pre><code>0000 | 00 00 00 00 00 00 00 00 4A 96 70 27 C4 7A E5 51
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0010 | 14 00 00 00 78 97 46 60 3E 05 49 82 8C CA 27 E9
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0020 | 66 B3 01 A4 8F EC E2 FC</code></pre>
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<h4><a class="anchor" href="#2-a-response-from-the-server-has-been-received-with-the-following-content" id="2-a-response-from-the-server-has-been-received-with-the-following-content" name="2-a-response-from-the-server-has-been-received-with-the-following-content"><i class="anchor-icon"></i></a>2. A response from the server has been received with the following content:</h4>
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<pre><code>0000 | 00 00 00 00 00 00 00 00 01 C8 83 1E C9 7A E5 51
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0010 | 40 00 00 00 63 24 16 05 3E 05 49 82 8C CA 27 E9
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0020 | 66 B3 01 A4 8F EC E2 FC A5 CF 4D 33 F4 A1 1E A8
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0030 | 77 BA 4A A5 73 90 73 30 08 17 ED 48 94 1A 08 F9
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0040 | 81 00 00 00 15 C4 B5 1C 01 00 00 00 21 6B E8 6C
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0050 | 02 2B B4 C3</code></pre>
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<h5><a class="anchor" href="#response-decomposition-using-the-following-formula" id="response-decomposition-using-the-following-formula" name="response-decomposition-using-the-following-formula"><i class="anchor-icon"></i></a>Response decomposition using the following formula:</h5>
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<pre><code>resPQ#05162463 nonce:int128 server_nonce:int128 pq:string server_public_key_fingerprints:Vector long = ResPQ </code></pre>
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<table class="table">
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<thead>
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<tr>
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<th>Parameter</th>
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<th>Offset, Length in bytes</th>
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<th>Value</th>
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<th>Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>auth_key_id</td>
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<td>0, 8</td>
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<td><code>0</code></td>
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<td>Since message is in plain text</td>
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</tr>
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<tr>
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<td>message_id</td>
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<td>8, 8</td>
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<td><code>51E57AC91E83C801</code></td>
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<td>Server message ID</td>
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</tr>
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<tr>
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<td>message_length</td>
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<td>16, 4</td>
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<td><code>64</code></td>
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<td>Message body length</td>
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</tr>
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<tr>
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<td>%(resPQ)</td>
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<td>20, 4</td>
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<td><code>05162463</code></td>
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<td>resPQ constructor number from TL schema</td>
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</tr>
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<tr>
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<td>nonce</td>
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<td>24, 16</td>
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<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
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<td>Value generated by client in Step 1</td>
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</tr>
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<tr>
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<td>server_nonce</td>
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<td>40, 16</td>
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<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
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<td>Server-generated random number</td>
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</tr>
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<tr>
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<td>pq</td>
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<td>56, 12</td>
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<td><code>17ED48941A08F981</code></td>
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<td>Single-byte prefix denoting length, an 8-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>%(Vector long)</td>
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<td>68, 4</td>
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<td><code>1cb5c415</code></td>
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<td><em>Vector long</em> constructor number from TL schema</td>
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</tr>
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<tr>
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<td>count</td>
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<td>72, 4</td>
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<td><code>1</code></td>
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<td>Number of elements in key fingerprint list</td>
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</tr>
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<tr>
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<td>fingerprints[]</td>
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<td>76, 8</td>
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<td><code>c3b42b026ce86b21</code></td>
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<td>64 lower-order bits of SHA1 (server_public_key)</td>
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</tr>
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</tbody>
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</table>
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<p>The <strong>server_public_key</strong> public key has been selected whose fingerprint corresponds to the only one received from the server: <code>c3b42b026ce86b21</code>.</p>
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<h4><a class="anchor" href="#3-pq--17ed48941a08f981-decomposed-into-2-prime-cofactors" id="3-pq--17ed48941a08f981-decomposed-into-2-prime-cofactors" name="3-pq--17ed48941a08f981-decomposed-into-2-prime-cofactors"><i class="anchor-icon"></i></a>3. Pq = 17ED48941A08F981 decomposed into 2 prime cofactors:</h4>
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<pre><code>p = 494C553B
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q = 53911073</code></pre>
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<h4><a class="anchor" href="#4-encrypted-data-generation" id="4-encrypted-data-generation" name="4-encrypted-data-generation"><i class="anchor-icon"></i></a>4. encrypted_data Generation</h4>
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<pre><code>p_q_inner_data#83c95aec pq:string p:string q:string nonce:int128 server_nonce:int128 new_nonce:int256 = P_Q_inner_data</code></pre>
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<table class="table">
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<thead>
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<tr>
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<th>Parameter</th>
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<th>Offset, Length in bytes</th>
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<th>Value</th>
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<th>Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>%(p_q_inner_data)</td>
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<td>0, 4</td>
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<td><code>83c95aec</code></td>
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<td>p_q_inner_data constructor number from TL schema</td>
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</tr>
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<tr>
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<td>pq</td>
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<td>4, 12</td>
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<td><code>17ED48941A08F981</code></td>
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<td>Single-byte prefix denoting length, 8-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>p</td>
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<td>16, 8</td>
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<td><code>494C553B</code></td>
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<td>First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>q</td>
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<td>24, 8</td>
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<td><code>53911073</code></td>
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<td>Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>nonce</td>
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<td>32, 16</td>
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<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
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<td>Value generated by client in Step 1</td>
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</tr>
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<tr>
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<td>server_nonce</td>
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<td>48, 16</td>
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<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
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<td>Value received from server in Step 2</td>
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</tr>
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<tr>
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<td>new_nonce</td>
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<td>64, 32</td>
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<td><code>311C85DB234AA2640AFC4A76A735CF5B</code> <code>1F0FD68BD17FA181E1229AD867CC024D</code></td>
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<td>Client-generated random number</td>
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</tr>
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</tbody>
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</table>
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<p>The serialization of <em>P_Q_inner_data</em> produces some string <strong>data</strong>. This is followed by <strong>encrypted_data</strong>:</p>
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<pre><code>SHA1 (data) = DB761C27718A2305044F71F2AD951629D78B2449
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RSA (data_with_hash, server_public_key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code></pre>
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<p>The length of the final string was 256 bytes.</p>
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<h5><a class="anchor" href="#request-to-start-diffie-hellman-key-exchange" id="request-to-start-diffie-hellman-key-exchange" name="request-to-start-diffie-hellman-key-exchange"><i class="anchor-icon"></i></a>Request to Start Diffie-Hellman Key Exchange</h5>
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<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>
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<table class="table">
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<thead>
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<tr>
|
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<th>Parameter</th>
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<th>Offset, Length in bytes</th>
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<th>Value</th>
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<th>Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td>auth_key_id</td>
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<td>0, 8</td>
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<td><code>0</code></td>
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<td>Since message is in plain text</td>
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</tr>
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<tr>
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<td>message_id</td>
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<td>8, 8</td>
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<td><code>51e57ac917717a27</code></td>
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<td>Exact unixtime * 2^32</td>
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</tr>
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<tr>
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<td>message_length</td>
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<td>16, 4</td>
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<td><code>320</code></td>
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<td>Message body length</td>
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</tr>
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<tr>
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<td>%(req_DH_params)</td>
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<td>20, 4</td>
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<td><code>d712e4be</code></td>
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<td>req_DH_params constructor number from TL schema</td>
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</tr>
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<tr>
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<td>nonce</td>
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<td>24, 16</td>
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<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
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<td>Value generated by client in Step 1</td>
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</tr>
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<tr>
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<td>server_nonce</td>
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<td>40, 16</td>
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<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
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<td>Value received from server in Step 2</td>
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</tr>
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<tr>
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<td>p</td>
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<td>56, 8</td>
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<td><code>494C553B</code></td>
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<td>First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>q</td>
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<td>64, 8</td>
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<td><code>53911073</code></td>
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<td>Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding</td>
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</tr>
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<tr>
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<td>public_key_fingerprint</td>
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<td>72, 8</td>
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<td><code>c3b42b026ce86b21</code></td>
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<td>Fingerprint of public key used</td>
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</tr>
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<tr>
|
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<td>encrypted_data</td>
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<td>80, 260</td>
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<td>See above</td>
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<td>See <a href="#4-generatsiya-encrypted-data">“Generation of encrypted_data"</a></td>
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</tr>
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</tbody>
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</table>
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<pre><code>0000 | 00 00 00 00 00 00 00 00 27 7A 71 17 C9 7A E5 51
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0010 | 40 01 00 00 BE E4 12 D7 3E 05 49 82 8C CA 27 E9
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0020 | 66 B3 01 A4 8F EC E2 FC A5 CF 4D 33 F4 A1 1E A8
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0030 | 77 BA 4A A5 73 90 73 30 04 49 4C 55 3B 00 00 00
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0040 | 04 53 91 10 73 00 00 00 21 6B E8 6C 02 2B B4 C3
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0050 | FE 00 01 00 7B B0 10 0A 52 31 61 90 4D 9C 69 FA
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0060 | 04 BC 60 DE CF C5 DD 74 B9 99 95 C7 68 EB 60 D8
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0070 | 71 6E 21 09 BA F2 D4 60 1D AB 6B 09 61 0D C1 10
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0080 | 67 BB 89 02 1E 09 47 1F CF A5 2D BD 0F 23 20 4A
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0090 | D8 CA 8B 01 2B F4 0A 11 2F 44 69 5A B6 C2 66 95
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00A0 | 53 86 11 4E F5 21 1E 63 72 22 7A DB D3 49 95 D3
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00B0 | E0 E5 FF 02 EC 63 A4 3F 99 26 87 89 62 F7 C5 70
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00C0 | E6 A6 E7 8B F8 36 6A F9 17 A5 27 26 75 C4 60 64
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00D0 | BE 62 E3 E2 02 EF A8 B1 AD FB 1C 32 A8 98 C2 98
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00E0 | 7B E2 7B 5F 31 D5 7C 9B B9 63 AB CB 73 4B 16 F6
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00F0 | 52 CE DB 42 93 CB B7 C8 78 A3 A3 FF AC 9D BE A9
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0100 | DF 7C 67 BC 9E 95 08 E1 11 C7 8F C4 6E 05 7F 5C
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0110 | 65 AD E3 81 D9 1F EE 43 0A 6B 57 6A 99 BD F8 55
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0120 | 1F DB 1B E2 B5 70 69 B1 A4 57 30 61 8F 27 42 7E
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0130 | 8A 04 72 0B 49 71 EF 4A 92 15 98 3D 68 F2 83 0C
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0140 | 3E AA 6E 40 38 55 62 F9 70 D3 8A 05 C9 F1 24 6D
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0150 | C3 34 38 E6</code></pre>
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<h4><a class="anchor" href="#5-a-response-from-the-server-has-been-received-with-the-following-content" id="5-a-response-from-the-server-has-been-received-with-the-following-content" name="5-a-response-from-the-server-has-been-received-with-the-following-content"><i class="anchor-icon"></i></a>5. A response from the server has been received with the following content:</h4>
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<pre><code>0000 | 00 00 00 00 00 00 00 00 01 54 43 36 CB 7A E5 51
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0010 | 78 02 00 00 5C 07 E8 D0 3E 05 49 82 8C CA 27 E9
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0020 | 66 B3 01 A4 8F EC E2 FC A5 CF 4D 33 F4 A1 1E A8
|
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0030 | 77 BA 4A A5 73 90 73 30 FE 50 02 00 28 A9 2F E2
|
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0040 | 01 73 B3 47 A8 BB 32 4B 5F AB 26 67 C9 A8 BB CE
|
|
0050 | 64 68 D5 B5 09 A4 CB DD C1 86 24 0A C9 12 CF 70
|
|
0060 | 06 AF 89 26 DE 60 6A 2E 74 C0 49 3C AA 57 74 1E
|
|
0070 | 6C 82 45 1F 54 D3 E0 68 F5 CC C4 9B 44 44 12 4B
|
|
0080 | 96 66 FF B4 05 AA B5 64 A3 D0 1E 67 F6 E9 12 86
|
|
0090 | 7C 8D 20 D9 88 27 07 DC 33 0B 17 B4 E0 DD 57 CB
|
|
00A0 | 53 BF AA FA 9E F5 BE 76 AE 6C 1B 9B 6C 51 E2 D6
|
|
00B0 | 50 2A 47 C8 83 09 5C 46 C8 1E 3B E2 5F 62 42 7B
|
|
00C0 | 58 54 88 BB 3B F2 39 21 3B F4 8E B8 FE 34 C9 A0
|
|
00D0 | 26 CC 84 13 93 40 43 97 4D B0 35 56 63 30 38 39
|
|
00E0 | 2C EC B5 1F 94 82 4E 14 0B 98 63 77 30 A4 BE 79
|
|
00F0 | A8 F9 DA FA 39 BA E8 1E 10 95 84 9E A4 C8 34 67
|
|
0100 | C9 2A 3A 17 D9 97 81 7C 8A 7A C6 1C 3F F4 14 DA
|
|
0110 | 37 B7 D6 6E 94 9C 0A EC 85 8F 04 82 24 21 0F CC
|
|
0120 | 61 F1 1C 3A 91 0B 43 1C CB D1 04 CC CC 8D C6 D2
|
|
0130 | 9D 4A 5D 13 3B E6 39 A4 C3 2B BF F1 53 E6 3A CA
|
|
0140 | 3A C5 2F 2E 47 09 B8 AE 01 84 4B 14 2C 1E E8 9D
|
|
0150 | 07 5D 64 F6 9A 39 9F EB 04 E6 56 FE 36 75 A6 F8
|
|
0160 | F4 12 07 8F 3D 0B 58 DA 15 31 1C 1A 9F 8E 53 B3
|
|
0170 | CD 6B B5 57 2C 29 49 04 B7 26 D0 BE 33 7E 2E 21
|
|
0180 | 97 7D A2 6D D6 E3 32 70 25 1C 2C A2 9D FC C7 02
|
|
0190 | 27 F0 75 5F 84 CF DA 9A C4 B8 DD 5F 84 F1 D1 EB
|
|
01A0 | 36 BA 45 CD DC 70 44 4D 8C 21 3E 4B D8 F6 3B 8A
|
|
01B0 | B9 5A 2D 0B 41 80 DC 91 28 3D C0 63 AC FB 92 D6
|
|
01C0 | A4 E4 07 CD E7 C8 C6 96 89 F7 7A 00 74 41 D4 A6
|
|
01D0 | A8 38 4B 66 65 02 D9 B7 7F C6 8B 5B 43 CC 60 7E
|
|
01E0 | 60 A1 46 22 3E 11 0F CB 43 BC 3C 94 2E F9 81 93
|
|
01F0 | 0C DC 4A 1D 31 0C 0B 64 D5 E5 5D 30 8D 86 32 51
|
|
0200 | AB 90 50 2C 3E 46 CC 59 9E 88 6A 92 7C DA 96 3B
|
|
0210 | 9E B1 6C E6 26 03 B6 85 29 EE 98 F9 F5 20 64 19
|
|
0220 | E0 3F B4 58 EC 4B D9 45 4A A8 F6 BA 77 75 73 CC
|
|
0230 | 54 B3 28 89 5B 1D F2 5E AD 9F B4 CD 51 98 EE 02
|
|
0240 | 2B 2B 81 F3 88 D2 81 D5 E5 BC 58 01 07 CA 01 A5
|
|
0250 | 06 65 C3 2B 55 27 15 F3 35 FD 76 26 4F AD 00 DD
|
|
0260 | D5 AE 45 B9 48 32 AC 79 CE 7C 51 1D 19 4B C4 2B
|
|
0270 | 70 EF A8 50 BB 15 C2 01 2C 52 15 CA BF E9 7C E6
|
|
0280 | 6B 8D 87 34 D0 EE 75 9A 63 8A F0 13</code></pre>
|
|
<h5><a class="anchor" href="#response-decomposition-using-the-following-formula" id="response-decomposition-using-the-following-formula" name="response-decomposition-using-the-following-formula"><i class="anchor-icon"></i></a>Response decomposition using the following formula:</h5>
|
|
<pre><code>server_DH_params_fail#79cb045d nonce:int128 server_nonce:int128 new_nonce_hash:int128 = Server_DH_Params;
|
|
server_DH_params_ok#d0e8075c nonce:int128 server_nonce:int128 encrypted_answer:string = Server_DH_Params;</code></pre>
|
|
<table class="table">
|
|
<thead>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Offset, Length in bytes</th>
|
|
<th>Value</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
</thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>auth_key_id</td>
|
|
<td>0, 8</td>
|
|
<td><code>0</code></td>
|
|
<td>Since message is in plain text</td>
|
|
</tr>
|
|
<tr>
|
|
<td>message_id</td>
|
|
<td>8, 8</td>
|
|
<td><code>51E57ACB36435401</code></td>
|
|
<td>Exact unixtime * 2^32</td>
|
|
</tr>
|
|
<tr>
|
|
<td>message_length</td>
|
|
<td>16, 4</td>
|
|
<td><code>632</code></td>
|
|
<td>Message body length</td>
|
|
</tr>
|
|
<tr>
|
|
<td>%(server_DH_params_ok)</td>
|
|
<td>20, 4</td>
|
|
<td><code>d0e8075c</code></td>
|
|
<td>server_DH_params_ok constructor number from TL schema</td>
|
|
</tr>
|
|
<tr>
|
|
<td>nonce</td>
|
|
<td>24, 16</td>
|
|
<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
|
|
<td>Value generated by client in Step 1</td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_nonce</td>
|
|
<td>40, 16</td>
|
|
<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>encrypted_answer</td>
|
|
<td>56, 596</td>
|
|
<td>See below</td>
|
|
<td>See <a href="#conversion-of-encrypted_answer-into-answer">“Decomposition of encrypted_answer"</a></td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<h5><a class="anchor" href="#conversion-of-encrypted-answer-into-answer" id="conversion-of-encrypted-answer-into-answer" name="conversion-of-encrypted-answer-into-answer"><i class="anchor-icon"></i></a>Conversion of encrypted_answer into <strong>answer</strong>:</h5>
|
|
<pre><code>encrypted_answer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
|
|
tmp_aes_key = F011280887C7BB01DF0FC4E17830E0B91FBB8BE4B2267CB985AE25F33B527253
|
|
tmp_aes_iv = 3212D579EE35452ED23E0D0C92841AA7D31B2E9BDEF2151E80D15860311C85DB
|
|
answer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code></pre>
|
|
<h5><a class="anchor" href="#server-dh-inner-data-decomposition-using-the-following-formula" id="server-dh-inner-data-decomposition-using-the-following-formula" name="server-dh-inner-data-decomposition-using-the-following-formula"><i class="anchor-icon"></i></a>Server_DH_inner_data decomposition using the following formula:</h5>
|
|
<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">
|
|
<thead>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Offset, Length in bytes</th>
|
|
<th>Value</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
</thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>%(server_DH_inner_data)</td>
|
|
<td>0, 4</td>
|
|
<td><code>b5890dba</code></td>
|
|
<td>server_DH_inner_data constructor number from TL schema</td>
|
|
</tr>
|
|
<tr>
|
|
<td>nonce</td>
|
|
<td>4, 16</td>
|
|
<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
|
|
<td>Value generated by client in Step 1</td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_nonce</td>
|
|
<td>20, 16</td>
|
|
<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>g</td>
|
|
<td>36, 4</td>
|
|
<td><code>2</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>dh_prime</td>
|
|
<td>40, 260</td>
|
|
<td><code>C71CAEB9C6B1C9048E6C522F70F13F73</code> <code>980D40238E3E21C14934D037563D930F</code> <code>48198A0AA7C14058229493D22530F4DB</code> <code>FA336F6E0AC925139543AED44CCE7C37</code> <code>20FD51F69458705AC68CD4FE6B6B13AB</code> <code>DC9746512969328454F18FAF8C595F64</code> <code>2477FE96BB2A941D5BCD1D4AC8CC4988</code> <code>0708FA9B378E3C4F3A9060BEE67CF9A4</code> <code>A4A695811051907E162753B56B0F6B41</code> <code>0DBA74D8A84B2A14B3144E0EF1284754</code> <code>FD17ED950D5965B4B9DD46582DB1178D</code> <code>169C6BC465B0D6FF9CA3928FEF5B9AE4</code> <code>E418FC15E83EBEA0F87FA9FF5EED7005</code> <code>0DED2849F47BF959D956850CE929851F</code> <code>0D8115F635B105EE2E4E15D04B2454BF</code> <code>6F4FADF034B10403119CD8E3B92FCC5B</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td>g_a</td>
|
|
<td>300, 260</td>
|
|
<td><code>262AABA621CC4DF587DC94CF8252258C</code> <code>0B9337DFB47545A49CDD5C9B8EAE7236</code> <code>C6CADC40B24E88590F1CC2CC762EBF1C</code> <code>F11DCC0B393CAAD6CEE4EE5848001C73</code> <code>ACBB1D127E4CB93072AA3D1C8151B6FB</code> <code>6AA6124B7CD782EAF981BDCFCE9D7A00</code> <code>E423BD9D194E8AF78EF6501F415522E4</code> <code>4522281C79D906DDB79C72E9C63D83FB</code> <code>2A940FF779DFB5F2FD786FB4AD71C9F0</code> <code>8CF48758E534E9815F634F1E3A80A5E1</code> <code>C2AF210C5AB762755AD4B2126DFA61A7</code> <code>7FA9DA967D65DFD0AFB5CDF26C4D4E1A</code> <code>88B180F4E0D0B45BA1484F95CB2712B5</code> <code>0BF3F5968D9D55C99C0FB9FB67BFF56D</code> <code>7D4481B634514FBA3488C4CDA2FC0659</code> <code>990E8E868B28632875A9AA703BCDCE8F</code></td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_time</td>
|
|
<td>560, 4</td>
|
|
<td><code>1373993675</code></td>
|
|
<td>Server time</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<h4><a class="anchor" href="#6-random-number-b-is-computed" id="6-random-number-b-is-computed" name="6-random-number-b-is-computed"><i class="anchor-icon"></i></a>6. Random number b is computed:</h4>
|
|
<pre><code>b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code></pre>
|
|
<h5><a class="anchor" href="#generation-of-encrypted-data" id="generation-of-encrypted-data" name="generation-of-encrypted-data"><i class="anchor-icon"></i></a>Generation of encrypted_data</h5>
|
|
<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">
|
|
<thead>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Offset, Length in bytes</th>
|
|
<th>Value</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
</thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>%(client_DH_inner_data)</td>
|
|
<td>0, 4</td>
|
|
<td><code>6643b654</code></td>
|
|
<td>client_DH_inner_data constructor number from TL schema</td>
|
|
</tr>
|
|
<tr>
|
|
<td>nonce</td>
|
|
<td>4, 16</td>
|
|
<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
|
|
<td>Value generated by client in Step 1</td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_nonce</td>
|
|
<td>20, 16</td>
|
|
<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>retry_id</td>
|
|
<td>36, 8</td>
|
|
<td><code>0</code></td>
|
|
<td>First attempt</td>
|
|
</tr>
|
|
<tr>
|
|
<td>g_b</td>
|
|
<td>44, 260</td>
|
|
<td><code>73700E7BFC7AEEC828EB8E0DCC04D09A</code> <code>0DD56A1B4B35F72F0B55FCE7DB7EBB72</code> <code>D7C33C5D4AA59E1C74D09B01AE536B31</code> <code>8CFED436AFDB15FE9EB4C70D7F0CB14E</code> <code>46DBBDE9053A64304361EB358A9BB32E</code> <code>9D5C2843FE87248B89C3F066A7D5876D</code> <code>61657ACC52B0D81CD683B2A0FA93E8AD</code> <code>AB20377877F3BC3369BBF57B10F5B589</code> <code>E65A9C27490F30A0C70FFCFD3453F5B3</code> <code>79C1B9727A573CFFDCA8D23C721B135B</code> <code>92E529B1CDD2F7ABD4F34DAC4BE1EEAF</code> <code>60993DDE8ED45890E4F47C26F2C0B2E0</code> <code>37BB502739C8824F2A99E2B1E7E41658</code> <code>3417CC79A8807A4BDAC6A5E9805D4F61</code> <code>86C37D66F6988C9F9C752896F3D34D25</code> <code>529263FAF2670A09B2A59CE35264511F</code></td>
|
|
<td><code>g^b mod dh_prime</code></td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<p>The serialization of <em>Client_DH_Inner_Data</em> produces some string <strong>data</strong>. This is followed by <strong>encrypted_data</strong>:</p>
|
|
<pre><code>data_with_hash := SHA1(data) + data + (0-15 random bytes); such that the length be divisible by 16;
|
|
AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv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code></pre>
|
|
<p>The length of the final string was 336 bytes.</p>
|
|
<h5><a class="anchor" href="#request" id="request" name="request"><i class="anchor-icon"></i></a>Request</h5>
|
|
<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">
|
|
<thead>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Offset, Length in bytes</th>
|
|
<th>Value</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
</thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>auth_key_id</td>
|
|
<td>0, 8</td>
|
|
<td><code>0</code></td>
|
|
<td>Since message is in plain text</td>
|
|
</tr>
|
|
<tr>
|
|
<td>message_id</td>
|
|
<td>8, 8</td>
|
|
<td><code>51e57acd2aa32c6d</code></td>
|
|
<td>Exact unixtime * 2^32</td>
|
|
</tr>
|
|
<tr>
|
|
<td>message_length</td>
|
|
<td>16, 4</td>
|
|
<td><code>376</code></td>
|
|
<td>Message body length</td>
|
|
</tr>
|
|
<tr>
|
|
<td>%(set_client_DH_params)</td>
|
|
<td>20, 4</td>
|
|
<td><code>f5045f1f</code></td>
|
|
<td>set_client_DH_params constructor number from TL schema</td>
|
|
</tr>
|
|
<tr>
|
|
<td>nonce</td>
|
|
<td>24, 16</td>
|
|
<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
|
|
<td>Value generated by client in Step 1</td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_nonce</td>
|
|
<td>40, 16</td>
|
|
<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>encrypted_data</td>
|
|
<td>56, 340</td>
|
|
<td>See above</td>
|
|
<td>See <a href="#generatsiya-encrypted-data">“Generation of encrypted_data"</a></td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
<pre><code>0000 | 00 00 00 00 00 00 00 00 6D 2C A3 2A CD 7A E5 51
|
|
0010 | 78 01 00 00 1F 5F 04 F5 3E 05 49 82 8C CA 27 E9
|
|
0020 | 66 B3 01 A4 8F EC E2 FC A5 CF 4D 33 F4 A1 1E A8
|
|
0030 | 77 BA 4A A5 73 90 73 30 FE 50 01 00 92 8A 49 57
|
|
0040 | D0 46 3B 52 5C 1C C4 8A AB AA 03 0A 25 6B E5 C7
|
|
0050 | 46 79 2C 84 CA 4C 5A 0D F6 0A C7 99 04 8D 98 A3
|
|
0060 | 8A 84 80 ED CF 08 22 14 DF C7 9D CB 9E E3 4E 20
|
|
0070 | 65 13 E2 B3 BC 15 04 CF E6 C9 AD A4 6B F9 A0 3C
|
|
0080 | A7 4F 19 2E AF 8C 27 84 54 AD AB C7 95 A5 66 61
|
|
0090 | 54 62 D3 18 17 38 29 84 03 95 05 F7 1C B3 3A 41
|
|
00A0 | E2 52 7A 4B 1A C0 51 07 87 2F ED 8E 3A BC EE 15
|
|
00B0 | 18 AE 96 5B 0E D3 AE D7 F6 74 79 15 5B DA 8E 4C
|
|
00C0 | 28 6B 64 CD F1 23 EC 74 8C F2 89 B1 DB 02 D1 90
|
|
00D0 | 7B 56 2D F4 62 D8 58 2B A6 F0 A3 02 2D C2 D3 50
|
|
00E0 | 4D 69 D1 BA 48 B6 77 E3 A8 30 BF AF D6 75 84 C8
|
|
00F0 | AA 24 E1 34 4A 89 04 E3 05 F9 58 7C 92 EF 96 4F
|
|
0100 | 00 83 F5 0F 61 EA B4 A3 93 EA A3 3C 92 70 29 4A
|
|
0110 | ED C7 73 28 91 D4 EA 15 99 F5 23 11 D7 44 69 D2
|
|
0120 | 11 2F 4E DF 3F 34 2E 93 C8 E8 7E 81 2D C3 98 9B
|
|
0130 | AE CF E6 74 0A 46 07 75 24 C7 50 93 F5 A5 40 57
|
|
0140 | 36 DE 89 37 BB 6E 42 C9 A0 DC F2 2C A5 32 27 D4
|
|
0150 | 62 BC CC 2C FE 94 B6 FE 86 AB 7F BF A3 95 02 1F
|
|
0160 | 66 66 1A F7 C0 02 4C A2 98 6C A0 3F 34 76 90 54
|
|
0170 | 07 D1 EA 9C 01 0B 76 32 58 DB 1A A2 CC 78 26 D9
|
|
0180 | 13 34 EF C1 FD C6 65 B6 7F E4 5E D0</code></pre>
|
|
<h4><a class="anchor" href="#7-computing-auth-key-using-formula-gab-mod-dh-prime" id="7-computing-auth-key-using-formula-gab-mod-dh-prime" name="7-computing-auth-key-using-formula-gab-mod-dh-prime"><i class="anchor-icon"></i></a>7. Computing auth_key using formula <code>g^{ab} mod dh_prime</code>:</h4>
|
|
<pre><code>auth_key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code></pre>
|
|
<h4><a class="anchor" href="#8-the-server-verifies-that-auth-key-hash-is-unique" id="8-the-server-verifies-that-auth-key-hash-is-unique" name="8-the-server-verifies-that-auth-key-hash-is-unique"><i class="anchor-icon"></i></a>8. The server verifies that auth_key_hash is unique.</h4>
|
|
<p>The key is unique.</p>
|
|
<h4><a class="anchor" href="#9-a-response-from-the-server-has-been-received-with-the-following-content" id="9-a-response-from-the-server-has-been-received-with-the-following-content" name="9-a-response-from-the-server-has-been-received-with-the-following-content"><i class="anchor-icon"></i></a>9. A response from the server has been received with the following content:</h4>
|
|
<pre><code>0000 | 00 00 00 00 00 00 00 00 01 30 AA C5 CE 7A E5 51
|
|
0010 | 34 00 00 00 34 F7 CB 3B 3E 05 49 82 8C CA 27 E9
|
|
0020 | 66 B3 01 A4 8F EC E2 FC A5 CF 4D 33 F4 A1 1E A8
|
|
0030 | 77 BA 4A A5 73 90 73 30 CC EB C0 21 72 66 E1 ED
|
|
0040 | EC 7F B0 A0 EE D6 C2 20</code></pre>
|
|
<p>Set_client_DH_params_answer decomposition using the following formula:</p>
|
|
<pre><code>dh_gen_ok#3bcbf734 nonce:int128 server_nonce:int128 new_nonce_hash1:int128 = Set_client_DH_params_answer;
|
|
dh_gen_retry#46dc1fb9 nonce:int128 server_nonce:int128 new_nonce_hash2:int128 = Set_client_DH_params_answer;
|
|
dh_gen_fail#a69dae02 nonce:int128 server_nonce:int128 new_nonce_hash3:int128 = Set_client_DH_params_answer;</code></pre>
|
|
<table class="table">
|
|
<thead>
|
|
<tr>
|
|
<th>Parameter</th>
|
|
<th>Offset, Length in bytes</th>
|
|
<th>Value</th>
|
|
<th>Description</th>
|
|
</tr>
|
|
</thead>
|
|
<tbody>
|
|
<tr>
|
|
<td>%(dh_gen_ok)</td>
|
|
<td>0, 4</td>
|
|
<td><code>3bcbf734</code></td>
|
|
<td>dh_gen_ok constructor number from TL schema</td>
|
|
</tr>
|
|
<tr>
|
|
<td>nonce</td>
|
|
<td>4, 16</td>
|
|
<td><code>3E0549828CCA27E966B301A48FECE2FC</code></td>
|
|
<td>Value generated by client in Step 1</td>
|
|
</tr>
|
|
<tr>
|
|
<td>server_nonce</td>
|
|
<td>20, 16</td>
|
|
<td><code>A5CF4D33F4A11EA877BA4AA573907330</code></td>
|
|
<td>Value received from server in Step 2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>new_nonce_hash1</td>
|
|
<td>36, 16</td>
|
|
<td><code>CCEBC0217266E1EDEC7FB0A0EED6C220</code></td>
|
|
</tr>
|
|
</tbody>
|
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