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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 >
< h1 id = "dev_page_title" > samples-auth_key< / h1 >
< div id = "dev_page_content" > < p > In the examples below, the < a href = "/mtproto#transport" > transport< / a > headers are omitted:< / p >
< blockquote >
< p > For example, for an abridged version of the transport 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 by 4) followed by the data themselves. In this case, server responses have the same form (although the server does not send < code > 0xef< / code > as the first byte).< / p >
< / blockquote >
< p > Detailed documentation on creating authorization keys is available < a href = "/mtproto/auth_key" > here »< / a > .< / p >
< 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_multi#be7e8ef1 nonce:int128 = ResPQ;< / code > < / pre >
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< 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 > 51e57ac42770964a< / code > < / td >
< td > Exact unixtime * 2^32< / td >
< / tr >
< tr >
< td > message_length< / td >
< td > 16, 4< / td >
< td > < code > 20< / code > < / td >
< td > Message body length< / td >
< / tr >
< tr >
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< td > %(req_pq_multi)< / td >
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< td > 20, 4< / td >
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< td > < code > be7e8ef1< / code > < / td >
< td > req_pq_multi constructor number from TL schema< / td >
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< / tr >
< tr >
< td > nonce< / td >
< td > 24, 16< / td >
< td > < code > 3E0549828CCA27E966B301A48FECE2FC< / code > < / td >
< td > Random number< / td >
< / tr >
< / tbody >
< / table >
< p > The header is 20 bytes long, the message body is 20 bytes long, and the entire message is 40 bytes in length.< / p >
< 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 f1 8e 7e be 3E 05 49 82 8C CA 27 E9
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0020 | 66 B3 01 A4 8F EC E2 FC< / code > < / pre >
< 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 >
< pre > < code > 0000 | 00 00 00 00 00 00 00 00 01 C8 83 1E C9 7A E5 51
0010 | 40 00 00 00 63 24 16 05 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 08 17 ED 48 94 1A 08 F9
0040 | 81 00 00 00 15 C4 B5 1C 01 00 00 00 21 6B E8 6C
0050 | 02 2B B4 C3< / 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 > resPQ#05162463 nonce:int128 server_nonce:int128 pq:string server_public_key_fingerprints:Vector long = ResPQ < / 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 > 51E57AC91E83C801< / code > < / td >
< td > Server message ID< / td >
< / tr >
< tr >
< td > message_length< / td >
< td > 16, 4< / td >
< td > < code > 64< / code > < / td >
< td > Message body length< / td >
< / tr >
< tr >
< td > %(resPQ)< / td >
< td > 20, 4< / td >
< td > < code > 05162463< / code > < / td >
< td > resPQ 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 > Server-generated random number< / td >
< / tr >
< tr >
< td > pq< / td >
< td > 56, 12< / td >
< td > < code > 17ED48941A08F981< / code > < / td >
< td > Single-byte prefix denoting length, an 8-byte string, and three bytes of padding< / td >
< / tr >
< tr >
< td > %(Vector long)< / td >
< td > 68, 4< / td >
< td > < code > 1cb5c415< / code > < / td >
< td > < em > Vector long< / em > constructor number from TL schema< / td >
< / tr >
< tr >
< td > count< / td >
< td > 72, 4< / td >
< td > < code > 1< / code > < / td >
< td > Number of elements in key fingerprint list< / td >
< / tr >
< tr >
< td > fingerprints[]< / td >
< td > 76, 8< / td >
< td > < code > c3b42b026ce86b21< / code > < / td >
< td > 64 lower-order bits of SHA1 (server_public_key)< / td >
< / tr >
< / tbody >
< / table >
< 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 >
< 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 >
< pre > < code > p = 494C553B
q = 53911073< / code > < / pre >
< 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 >
< 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 >
< 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 > %(p_q_inner_data)< / td >
< td > 0, 4< / td >
< td > < code > 83c95aec< / code > < / td >
< td > p_q_inner_data constructor number from TL schema< / td >
< / tr >
< tr >
< td > pq< / td >
< td > 4, 12< / td >
< td > < code > 17ED48941A08F981< / code > < / 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 > 494C553B< / code > < / 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 > 53911073< / code > < / 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 > 3E0549828CCA27E966B301A48FECE2FC< / code > < / td >
< td > Value generated by client in Step 1< / td >
< / tr >
< tr >
< td > server_nonce< / td >
< td > 48, 16< / td >
< td > < code > A5CF4D33F4A11EA877BA4AA573907330< / code > < / td >
< td > Value received from server in Step 2< / td >
< / tr >
< tr >
< td > new_nonce< / td >
< td > 64, 32< / td >
< td > < code > 311C85DB234AA2640AFC4A76A735CF5B< / code > < code > 1F0FD68BD17FA181E1229AD867CC024D< / code > < / td >
< td > Client-generated random number< / td >
< / tr >
< / tbody >
< / table >
< 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 >
< pre > < code > SHA1 (data) = DB761C27718A2305044F71F2AD951629D78B2449
RSA (data_with_hash, server_public_key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code > < / pre >
< p > The length of the final string was 256 bytes.< / p >
< 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 >
< 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" >
< 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 > 51e57ac917717a27< / code > < / td >
< td > Exact unixtime * 2^32< / td >
< / tr >
< tr >
< td > message_length< / td >
< td > 16, 4< / td >
< td > < code > 320< / code > < / td >
< td > Message body length< / td >
< / tr >
< tr >
< td > %(req_DH_params)< / td >
< td > 20, 4< / td >
< td > < code > d712e4be< / code > < / td >
< td > req_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 > p< / td >
< td > 56, 8< / td >
< td > < code > 494C553B< / code > < / 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 > 53911073< / code > < / td >
< td > Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding< / td >
< / tr >
< tr >
< td > public_key_fingerprint< / td >
< td > 72, 8< / td >
< td > < code > c3b42b026ce86b21< / code > < / td >
< td > Fingerprint of public key used< / td >
< / tr >
< tr >
< td > encrypted_data< / td >
< td > 80, 260< / td >
< td > See above< / td >
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< td > See < a href = "#generation-of-encrypted-data" > “Generation of encrypted_data"< / a > < / td >
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< / tr >
< / tbody >
< / table >
< pre > < code > 0000 | 00 00 00 00 00 00 00 00 27 7A 71 17 C9 7A E5 51
0010 | 40 01 00 00 BE E4 12 D7 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 04 49 4C 55 3B 00 00 00
0040 | 04 53 91 10 73 00 00 00 21 6B E8 6C 02 2B B4 C3
0050 | FE 00 01 00 7B B0 10 0A 52 31 61 90 4D 9C 69 FA
0060 | 04 BC 60 DE CF C5 DD 74 B9 99 95 C7 68 EB 60 D8
0070 | 71 6E 21 09 BA F2 D4 60 1D AB 6B 09 61 0D C1 10
0080 | 67 BB 89 02 1E 09 47 1F CF A5 2D BD 0F 23 20 4A
0090 | D8 CA 8B 01 2B F4 0A 11 2F 44 69 5A B6 C2 66 95
00A0 | 53 86 11 4E F5 21 1E 63 72 22 7A DB D3 49 95 D3
00B0 | E0 E5 FF 02 EC 63 A4 3F 99 26 87 89 62 F7 C5 70
00C0 | E6 A6 E7 8B F8 36 6A F9 17 A5 27 26 75 C4 60 64
00D0 | BE 62 E3 E2 02 EF A8 B1 AD FB 1C 32 A8 98 C2 98
00E0 | 7B E2 7B 5F 31 D5 7C 9B B9 63 AB CB 73 4B 16 F6
00F0 | 52 CE DB 42 93 CB B7 C8 78 A3 A3 FF AC 9D BE A9
0100 | DF 7C 67 BC 9E 95 08 E1 11 C7 8F C4 6E 05 7F 5C
0110 | 65 AD E3 81 D9 1F EE 43 0A 6B 57 6A 99 BD F8 55
0120 | 1F DB 1B E2 B5 70 69 B1 A4 57 30 61 8F 27 42 7E
0130 | 8A 04 72 0B 49 71 EF 4A 92 15 98 3D 68 F2 83 0C
0140 | 3E AA 6E 40 38 55 62 F9 70 D3 8A 05 C9 F1 24 6D
0150 | C3 34 38 E6< / code > < / pre >
< 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 >
< pre > < code > 0000 | 00 00 00 00 00 00 00 00 01 54 43 36 CB 7A E5 51
0010 | 78 02 00 00 5C 07 E8 D0 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 02 00 28 A9 2F E2
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 >
2022-11-15 00:55:37 +01:00
< td > See < a href = "#conversion-of-encrypted-answer-into-answer" > “Decomposition of encrypted_answer"< / a > < / td >
2022-05-14 00:37:40 +02:00
< / 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 = 6F620AFA575C9233EB4C014110A7BCAF49464F798A18A0981FEA1E05E8DA67D9681E0FD6DF0EDF0272AE3492451A84502F2EFC0DA18741A5FB80BD82296919A70FAA6D07CBBBCA2037EA7D3E327B61D585ED3373EE0553A91CBD29B01FA9A89D479CA53D57BDE3A76FBD922A923A0A38B922C1D0701F53FF52D7EA9217080163A64901E766EB6A0F20BC391B64B9D1DD2CD13A7D0C946A3A7DF8CEC9E2236446F646C42CFE2B60A2A8D776E56C8D7519B08B88ED0970E10D12A8C9E355D765F2B7BBB7B4CA9360083435523CB0D57D2B106FD14F94B4EEE79D8AC131CA56AD389C84FE279716F8124A543337FB9EA3D988EC5FA63D90A4BA3970E7A39E5C0DE5< / 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 >
2022-11-15 00:55:37 +01:00
< td > See < a href = "#generation-of-encrypted-data" > “Generation of encrypted_data"< / a > < / td >
2022-05-14 00:37:40 +02:00
< / 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 >
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