diff --git a/data/web/corefork.telegram.org/method/account.updateConnectedBot.html b/data/web/corefork.telegram.org/method/account.updateConnectedBot.html index c1a836e391..73a0f02069 100644 --- a/data/web/corefork.telegram.org/method/account.updateConnectedBot.html +++ b/data/web/corefork.telegram.org/method/account.updateConnectedBot.html @@ -121,7 +121,7 @@ 400 BUSINESS_RECIPIENTS_EMPTY -  +You didn't set any flag in inputBusinessBotRecipients, thus the bot cannot work with any peer. 403 diff --git a/data/web/corefork.telegram.org/method/messages.sendMedia.html b/data/web/corefork.telegram.org/method/messages.sendMedia.html index ff0db79a52..033c45fa87 100644 --- a/data/web/corefork.telegram.org/method/messages.sendMedia.html +++ b/data/web/corefork.telegram.org/method/messages.sendMedia.html @@ -195,6 +195,11 @@ 400 +BUTTON_POS_INVALID +The position of one of the keyboard buttons is invalid (i.e. a Game or Pay button not in the first position, and so on...). + + +400 BUTTON_TYPE_INVALID The type of one or more of the buttons you provided is invalid. diff --git a/data/web/corefork.telegram.org/mtproto/samples-auth_key.html b/data/web/corefork.telegram.org/mtproto/samples-auth_key.html index 22e9536230..69b92b6ec8 100644 --- a/data/web/corefork.telegram.org/mtproto/samples-auth_key.html +++ b/data/web/corefork.telegram.org/mtproto/samples-auth_key.html @@ -53,9 +53,9 @@
1) Client sends query to server

Sent payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 E4 2A 05 00 6A 21 A9 66
-0010 | 14 00 00 00 F1 8E 7E BE 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9
+
0000 | 00 00 00 00 00 00 00 00 B0 7C 0C 00 01 B9 AB 66
+0010 | 14 00 00 00 F1 8E 7E BE A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00

Payload (de)serialization:

req_pq_multi#be7e8ef1 nonce:int128 = ResPQ;
@@ -77,7 +77,7 @@ - + @@ -95,7 +95,7 @@ - + @@ -104,11 +104,11 @@
2) Server sends response of the form

Received payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 01 10 B0 60 6A 21 A9 66
-0010 | A0 00 00 00 63 24 16 05 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9 BB EB 55 8F 3B 71 35 7F
-0030 | 86 21 B7 12 51 B2 70 D2 08 23 AB 87 90 54 2E F8
-0040 | 51 00 00 00 15 C4 B5 1C 03 00 00 00 A5 B7 F7 09
+
0000 | 00 00 00 00 00 00 00 00 01 60 33 47 01 B9 AB 66
+0010 | 6C 00 00 00 63 24 16 05 A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3
+0030 | 3B 8E D0 94 91 64 C4 44 08 20 B3 A6 52 7B D9 8C
+0040 | 5F 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

 
Payload (de)serialization:

@@ -132,13 +132,13 @@
- + - + @@ -150,19 +150,19 @@ - + - + - + @@ -208,22 +208,22 @@

Proof of work

3) Client decomposes pq into prime factors such that p < q.
-
pq = 2570297066302404689
-

Decompose into 2 prime cofactors p < q: 2570297066302404689 = 1549256099 * 1659052411

-
p = 1549256099
-q = 1659052411
+
pq = 2356409903240285279
+

Decompose into 2 prime cofactors p < q: 2356409903240285279 = 1465403767 * 1608027737

+
p = 1465403767
+q = 1608027737

Presenting proof of work; Server authentication

4) encrypted_data payload generation

First of all, generate an encrypted_data payload as follows:

Generated payload (excluding transport headers/trailers):

-
0000 | 95 5F F5 A9 08 23 AB 87 90 54 2E F8 51 00 00 00
-0010 | 04 5C 57 C5 A3 00 00 00 04 62 E3 21 7B 00 00 00
-0020 | 12 C3 06 4D DC AA 11 9F 34 EB 28 26 C7 82 24 D9
-0030 | BB EB 55 8F 3B 71 35 7F 86 21 B7 12 51 B2 70 D2
-0040 | C7 C0 98 2D 64 05 1B B3 4A 9E 71 F3 AD 2E E5 B5
-0050 | E0 9F AB B7 7D 2A 41 FF FB B6 D3 58 27 85 00 78
+
0000 | 95 5F F5 A9 08 20 B3 A6 52 7B D9 8C 5F 00 00 00
+0010 | 04 57 58 49 77 00 00 00 04 5F D8 8E 59 00 00 00
+0020 | A7 DE B1 F0 60 93 B2 7E 6E 98 40 24 9B D3 CC 00
+0030 | 79 6D 6C 2F 93 79 BD C3 3B 8E D0 94 91 64 C4 44
+0040 | 25 02 2B C0 F4 48 36 6E 6A 81 6A 00 37 54 20 C8
+0050 | BF 1E 35 EA E6 45 26 9F 0E 96 02 7C 07 CD F5 00
 0060 | 02 00 00 00

 
Payload (de)serialization:

 
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;

@@ -246,37 +246,37 @@ q = 1659052411
 - + - + - + - + - + - + @@ -291,39 +291,39 @@ q = 1659052411

The serialization of P_Q_inner_data produces data, which is used to generate encrypted_data as specified in step 4.1.
These are the inputs to the algorithm specified in step 4.1:

-
data = 955FF5A90823AB8790542EF851000000045C57C5A30000000462E3217B00000012C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D2C7C0982D64051BB34A9E71F3AD2EE5B5E09FABB77D2A41FFFBB6D3582785007802000000
-random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D218814070360CB514E5C6B84618331C84DE0205961470A7C6995C672BC8D5F38B2C6BEB22CB094A7F02ED3A137F6ED657F8465B346A42EC333896B61150C8C4874A3
+
data = 955FF5A90820B3A6527BD98C5F0000000457584977000000045FD88E59000000A7DEB1F06093B27E6E9840249BD3CC00796D6C2F9379BDC33B8ED0949164C44425022BC0F448366E6A816A00375420C8BF1E35EAE645269F0E96027C07CDF50002000000
+random_padding_bytes = 370349728C611B3B5FBD135DA242B23A91DB12514EB3D3B0A44C9BF7B71D69CB2F4CA827B64399721E88D8C215AEE2EF3786FA19DF9D380344E1CF81A76B1D0A582D3856938A1D5A3536B7A270A7663FD32B3E568FDA37199612D21C

And this is the output:

-
encrypted_data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
+
encrypted_data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

The length of the final string is 256 bytes.

5) Send req_DH_params query with generated encrypted_data

Sent payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 E8 2A 05 00 6A 21 A9 66
-0010 | 40 01 00 00 BE E4 12 D7 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9 BB EB 55 8F 3B 71 35 7F
-0030 | 86 21 B7 12 51 B2 70 D2 04 5C 57 C5 A3 00 00 00
-0040 | 04 62 E3 21 7B 00 00 00 85 FD 64 DE 85 1D 9D D0
-0050 | FE 00 01 00 2B B7 91 D4 9E 56 70 EB E5 78 9C F1
-0060 | F3 52 DC 19 44 43 59 CF FF B3 1B 26 C2 12 3C 12
-0070 | CA 3A E4 C7 E3 E9 99 2A CA FB 38 B3 D8 69 D3 C2
-0080 | 19 10 5B DF 83 27 8D 42 E0 D3 2B 37 48 E8 04 69
-0090 | 83 F6 05 9F EE 58 8A 95 0E 7A 9D C5 26 4C E5 8A
-00A0 | 35 45 36 76 80 13 E8 7E A9 2F 41 A8 EA F5 05 F1
-00B0 | 7F 29 14 9D 64 84 50 9B EF B7 44 07 EF BE 94 12
-00C0 | F7 B8 CB 33 7A C9 16 AC D6 AC 79 E0 BD 71 9E 1D
-00D0 | 15 D4 93 94 40 F6 DC 6C 0C 39 1B D6 6E D9 E4 C6
-00E0 | 1F 34 6C AB 66 24 8D 1A 07 E6 78 74 70 0E 5F CA
-00F0 | A3 1D 9D F8 67 4B 32 D0 12 FE 6D F2 3E BD 7E C5
-0100 | 7A EE D0 F7 42 38 81 25 36 B8 7D 92 DD 4A B7 61
-0110 | 33 09 DC BD 64 21 57 D1 D5 E0 D2 E2 A3 4D 7C A3
-0120 | D8 87 38 04 F8 ED E1 D8 00 E0 20 52 31 28 85 52
-0130 | 63 0D 94 E0 0D 17 43 6B 94 37 0A BE 89 99 5A 37
-0140 | 13 10 1A E6 49 A4 C3 93 A8 88 F5 B9 CB AC F0 EB
-0150 | 89 17 DB 4D
+
0000 | 00 00 00 00 00 00 00 00 B4 7C 0C 00 01 B9 AB 66
+0010 | 40 01 00 00 BE E4 12 D7 A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3
+0030 | 3B 8E D0 94 91 64 C4 44 04 57 58 49 77 00 00 00
+0040 | 04 5F D8 8E 59 00 00 00 85 FD 64 DE 85 1D 9D D0
+0050 | FE 00 01 00 6D 6E 8A 69 6E F4 13 51 D3 F7 5C 50
+0060 | 2B DA 37 2F D2 64 C4 6B 62 F6 D2 3B 5E 56 DB CF
+0070 | 25 FB 52 8D 78 F0 E0 A1 7E 47 00 CA 36 D9 72 6D
+0080 | 7A 06 7B 1D D5 A6 E2 2B 56 66 4B 2E CD 4F 14 43
+0090 | 64 21 F7 F0 AB BE CB 74 13 9C B1 4F ED 61 05 D3
+00A0 | 77 71 46 02 EF EF 63 26 41 C7 83 70 B9 17 B4 92
+00B0 | EB D5 DA 7E 8F 5A 0C D8 81 14 08 AC F0 C0 21 B8
+00C0 | 53 0D A4 E3 AA BD 33 2E E1 11 BB 83 38 40 18 15
+00D0 | 0D CD 76 64 0D 6E 4C 89 A3 16 66 50 20 AD 69 B4
+00E0 | 85 90 F4 AA C2 44 25 DE 2E 66 78 E6 DD 22 46 FF
+00F0 | CB 48 3B 9A 30 E2 ED 47 BC BA C4 E4 78 59 D7 6E
+0100 | 8B CE 15 AE 47 1E B5 3F C3 13 C7 D5 BC AD 77 F0
+0110 | 13 F6 85 D3 A5 C9 32 D8 73 A2 68 05 03 08 D8 0F
+0120 | 4F F6 A2 AB 39 CC 9B 10 CB 39 9A 4C A9 ED 64 92
+0130 | B8 68 B3 47 5C BB 36 2A AF C6 65 5D E7 07 72 4C
+0140 | 18 3E C8 4F 05 74 53 E3 8C C5 FB E5 0B FE 69 4A
+0150 | 4E 1B 39 B3

Payload (de)serialization:

req_DH_params#d712e4be nonce:int128 server_nonce:int128 p:string q:string public_key_fingerprint:long encrypted_data:string = Server_DH_Params;
message_id 8, 8E42A05006A21A966B07C0C0001B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Random number
message_id 8, 80110B0606A21A9660160334701B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 4A0000000 (160 in decimal)6C000000 (108 in decimal) Message body length
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 40, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Server-generated random number
pq 56, 120823AB8790542EF851000000
TL byte deserialization
=> bigendian conversion to decimal
=> 2570297066302404689		0820B3A6527BD98C5F000000
TL byte deserialization
=> bigendian conversion to decimal
=> 2356409903240285279		 Single-byte prefix denoting length, an 8-byte string, and three bytes of padding
pq 4, 120823AB8790542EF851000000
TL byte deserialization
=> bigendian conversion to decimal
=> 2570297066302404689		0820B3A6527BD98C5F000000
TL byte deserialization
=> bigendian conversion to decimal
=> 2356409903240285279		 Single-byte prefix denoting length, 8-byte string, and three bytes of padding
p 16, 8045C57C5A3000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1549256099		0457584977000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1465403767		 First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
q 24, 80462E3217B000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1659052411		045FD88E59000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1608027737		 Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
nonce 32, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 48, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
new_nonce 64, 32C7C0982D64051BB34A9E71F3AD2EE5B5 E09FABB77D2A41FFFBB6D3582785007825022BC0F448366E6A816A00375420C8 BF1E35EAE645269F0E96027C07CDF500 Client-generated random number
@@ -345,7 +345,7 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881 - + @@ -363,25 +363,25 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881 - + - + - + - + @@ -393,7 +393,7 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881 - + @@ -402,47 +402,47 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881
6) Server responds with:

Received payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 01 A0 3A 19 6B 21 A9 66
-0010 | C0 02 00 00 5C 07 E8 D0 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9 BB EB 55 8F 3B 71 35 7F
-0030 | 86 21 B7 12 51 B2 70 D2 FE 50 02 00 D2 99 17 ED
-0040 | 5F F3 F8 F5 1E 7F 8A 47 C7 B2 5F B7 AA E6 9F 7B
-0050 | E1 98 FB D3 FC 7A 6A 87 98 30 CE B4 2C 24 F0 39
-0060 | C4 B6 96 CC 07 28 A1 8E 28 43 F7 E1 F7 F9 F8 6D
-0070 | 46 49 9A BE 9F 05 0B F1 2D EC F4 CB 6E 07 5E CB
-0080 | 6F 28 BC 76 9E 9E 23 D3 37 20 FB 3A EF 17 14 36
-0090 | 52 1B 08 81 47 6B 91 F8 75 F8 BF D4 03 DE F5 B4
-00A0 | 67 B9 BE E7 DA A4 F9 72 21 4C 34 BC 76 75 63 B5
-00B0 | 37 9F 1D D4 97 0E 95 EC DA 9D 46 A9 1D CB 60 CE
-00C0 | 26 31 97 88 1A F6 51 31 EF 01 35 0F 3E D2 C7 E3
-00D0 | 16 BC 36 EE 00 7E CE 88 CF DD A7 DF C9 DA 94 B8
-00E0 | 58 C7 63 5D 9A C3 F7 71 A5 9B DD D3 92 55 EB 72
-00F0 | 3B 27 BA 90 75 49 0C E0 7F 0C D6 C7 34 82 F9 E1
-0100 | C8 2C 9F 33 FA 33 4F 78 C7 71 91 D1 E8 2E BC 6A
-0110 | 7A 1D C8 8C 9C C2 71 91 C0 B0 7A 6E 15 08 15 A5
-0120 | 3E 7F 74 62 BF E4 D4 41 B6 3E AA EF D9 5D 3A D5
-0130 | DE 0A BA E9 0C 6F DB CF B9 C5 6C 73 46 0C 97 46
-0140 | D8 58 45 A3 11 41 F6 09 E1 64 6B C9 76 B2 C4 93
-0150 | E7 E1 5E B5 77 40 71 70 2F 1C 6F D2 FB 2C 78 F7
-0160 | 61 F1 2C F9 D5 5B F2 3E 6C A2 67 27 40 52 05 B3
-0170 | 5E EF 50 64 7B 61 63 3F 03 91 64 F0 D0 6C 0A DD
-0180 | 7B 88 47 E0 07 7B AA 2E 26 00 33 F2 20 19 3F EB
-0190 | 93 F6 F0 30 13 E5 99 3F 15 F9 07 EC 0B AA 70 21
-01A0 | E1 4E 7E 7D AF 3D 34 30 79 30 36 76 7D CD FE DB
-01B0 | AC A4 27 0D D4 6D D4 5E 46 F8 6F D7 6D 35 C7 05
-01C0 | F7 B9 3D 91 5B DE 0D 80 39 C3 75 59 71 A0 86 5E
-01D0 | 27 E5 E7 36 72 D9 B7 28 4E 3B 8E E6 01 FA 35 81
-01E0 | 7E F5 B3 64 52 46 4B 3C F4 85 86 2B F3 B5 8C E2
-01F0 | DE 2D D3 E1 81 7E 40 C2 76 CA 5A 3A 11 0E 1A E3
-0200 | 0A A2 85 D2 EF 5E F3 8C 3E 39 7F 38 5E 7B 2E A7
-0210 | 5C 4B 62 42 2E E5 0E CF 87 23 EB 88 27 3A E9 12
-0220 | 5B 70 E5 AB 1D 43 16 92 C9 2C 91 DD 44 EB 25 2B
-0230 | ED 0E A3 22 22 C8 71 22 81 CA CF 2D F5 63 52 66
-0240 | FD 58 3E 0C 12 27 64 DB CA AF 43 9E D5 35 22 C9
-0250 | B8 25 3A 8C 12 A8 D9 35 EA 77 1D 5F A6 DB 42 6D
-0260 | A6 AE 60 29 A2 B0 0A E4 F9 22 ED C7 5A D3 0E C6
-0270 | 47 F4 AF BA 2E 69 56 EC 8B E8 30 08 04 74 E1 14
-0280 | C2 7D 6A D5 22 49 DF 75 F9 55 37 CD
+
0000 | 00 00 00 00 00 00 00 00 01 24 B7 ED 01 B9 AB 66
+0010 | E4 02 00 00 5C 07 E8 D0 A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3
+0030 | 3B 8E D0 94 91 64 C4 44 FE 50 02 00 5F A3 62 58
+0040 | 28 AD 50 78 AF 38 E5 72 0F 5B 58 76 BB 5B 48 7F
+0050 | 5D C9 0E AA 2F 3A 4E DF 98 05 05 B7 CD C6 7C 47
+0060 | 28 B6 C0 DB 2A 01 42 7E 15 E4 21 88 10 E2 85 19
+0070 | F7 F5 CC 45 AA 78 45 2E B8 EC 1D 9A 79 6A 1B 8A
+0080 | F1 1E 40 1B 50 79 B9 2C 91 74 26 06 D3 AE 7F 12
+0090 | 1C A1 12 8B 1D A8 17 CD F0 3C 39 F4 68 12 06 C3
+00A0 | 93 16 59 D0 60 AA E9 11 A3 B9 88 20 6C D1 B6 42
+00B0 | AA A9 9D 1F 91 FD 6B DE EE 83 D2 D7 99 1E 1B 19
+00C0 | 04 A6 EE 41 46 04 28 1E 43 02 AF C7 81 9E 74 14
+00D0 | EE FF 9E C8 CD D4 29 31 07 34 5D A1 35 10 EE 8B
+00E0 | F7 62 35 0F 2B 9B 73 46 90 89 4A A0 8E 3B F7 14
+00F0 | 92 77 F9 1D CE 97 D8 B8 4F 1C 68 A4 7B B7 10 40
+0100 | 77 E4 B2 B0 44 A0 EF 44 E8 F0 CF 89 CF AA F6 49
+0110 | 0C F7 C5 16 50 41 27 43 D0 34 41 FA 15 EE 46 94
+0120 | 96 74 74 79 F0 B2 46 CB EE 64 F3 4F 17 8C FA 91
+0130 | 50 68 B0 A8 1F BB F1 3B CF 60 6B 08 28 F1 CC CA
+0140 | 48 A4 1E 5E 3F FE F8 F1 70 33 F1 3B D1 D3 C2 50
+0150 | 26 6C 75 0E DA DF A7 5D DF E4 15 22 67 0C F5 DE
+0160 | CD 46 76 6E 99 FC 10 6D 2A 17 1B C3 DA 2A 82 B2
+0170 | 4E 1B C4 5D 97 5C 5E EE FE EE 52 33 FD C6 CB 33
+0180 | D1 3D DE 33 31 BE 7B AD 6D BB E1 1C 60 38 9C E7
+0190 | 76 B2 75 DD 09 89 91 B1 EA EB 7E C7 E2 CB 39 47
+01A0 | EB 54 B1 9E 82 0D 78 E0 B6 21 BE A4 61 6C 8A 24
+01B0 | F4 7C FA 2F 8F 05 AD 92 E0 73 69 10 7C 80 6D 3B
+01C0 | 40 C6 A6 03 1D EC 11 67 BF 16 79 E2 C4 34 85 25
+01D0 | E9 6B 88 CC 43 19 AF 4D ED 61 A0 52 E4 2C 3D FE
+01E0 | 47 C9 94 6A 8A 37 86 2F 1D B3 CB 0E AE 2F EF 06
+01F0 | A1 EF C5 6E 67 5D 27 17 C6 00 02 47 EB 0E 0F 3A
+0200 | EF 5F 18 76 66 8D C7 78 3A 63 45 B5 D4 0B 31 0F
+0210 | 51 A6 B6 B8 B2 29 BA 7B 02 E3 87 66 CA AC 94 DB
+0220 | 50 B9 4C 35 43 53 B7 5C C6 E8 68 37 A5 D6 C2 1A
+0230 | 94 36 02 DA 08 7D CF 1E B0 6E 7D A2 B3 E8 B7 8D
+0240 | CB 09 3B 9F A4 8E 27 22 C7 A0 45 49 D5 DE 8E F6
+0250 | B4 19 FB 58 64 08 73 B3 0D 56 B2 B8 2F F6 59 2A
+0260 | A5 57 42 C2 FB 52 FB 58 A7 07 40 87 2D F8 5C FD
+0270 | A0 23 D1 65 CD D7 D3 86 24 49 93 EE ED 77 3F 37
+0280 | E8 22 3E 8D E0 BA AE 61 5A FB DD F9

Payload (de)serialization:

server_DH_params_ok#d0e8075c nonce:int128 server_nonce:int128 encrypted_answer:string = Server_DH_Params;
message_id 8, 8E82A05006A21A966B47C0C0001B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 40, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
p 56, 8045C57C5A3000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1549256099		0457584977000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1465403767		 First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
q 64, 80462E3217B000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1659052411		045FD88E59000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1608027737		 Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
encrypted_data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
8917DB4D		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
4E1B39B3		 Value generated above
@@ -464,13 +464,13 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881 - + - + @@ -482,19 +482,19 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881 - + - + - + @@ -502,20 +502,20 @@ random_padding_bytes = ACD454656EAD6AB342120E881FCE70D5F4B7565EDDA77E028B1D21881

Decrypt encrypted_answer using the reverse of the process specified in step 6:

-
encrypted_answer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
-tmp_aes_key = 98173694F80A3DEA8E6E1237B317DC8EA983D7B180F7152E25F461CCA059CA25
-tmp_aes_iv = C6DC6366725C19455CDCD47707D1843FF21BBFE2B9B17ED018930B13C7C0982D
+
encrypted_answer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
+tmp_aes_key = 2C99D95C8A6F7256F976E8EC2DE74F7FA48A1D1BBD2C3CE21040B45A0C9FF10C
+tmp_aes_iv = FFC0644F47C406AAFC9F41386ADE90487D82EEB7F2C5DEAD4BC0294D25022BC0

Yielding:

-
answer_with_hash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
-answer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
+
answer_with_hash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
+answer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

Generated payload (excluding transport headers/trailers):

-
0000 | BA 0D 89 B5 12 C3 06 4D DC AA 11 9F 34 EB 28 26
-0010 | C7 82 24 D9 BB EB 55 8F 3B 71 35 7F 86 21 B7 12
-0020 | 51 B2 70 D2 03 00 00 00 FE 00 01 00 C7 1C AE B9
+
0000 | BA 0D 89 B5 A7 DE B1 F0 60 93 B2 7E 6E 98 40 24
+0010 | 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3 3B 8E D0 94
+0020 | 91 64 C4 44 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 = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D
 0100 | F4 7B F9 59 D9 56 85 0C E9 29 85 1F 0D 81 15 F6
 0110 | 35 B1 05 EE 2E 4E 15 D0 4B 24 54 BF 6F 4F AD F0
 0120 | 34 B1 04 03 11 9C D8 E3 B9 2F CC 5B FE 00 01 00
-0130 | 6F 1A 1A 25 F9 2E 22 04 53 01 54 FE DF 31 8B 67
-0140 | 27 5B 2D 36 51 43 52 89 9B 61 C2 9A 3A 3B CC ED
-0150 | 0B F5 DA 72 02 FC C8 41 81 BA 74 11 17 3A F0 AB
-0160 | 9D 2B EE F7 9F 21 10 33 E9 A0 68 E9 60 96 53 28
-0170 | CB 9A C9 38 51 E8 D3 A0 CB 0E 90 7E F8 9C 7A C9
-0180 | 55 3D 95 11 65 61 0E 41 22 DF 11 74 5C 04 45 EA
-0190 | BF 5E E9 6E 0A FB 25 99 A0 8C A3 0C DB 56 FF A1
-01A0 | 86 61 24 B5 75 AF F1 59 30 2B 78 6B AC 59 70 74
-01B0 | BE 21 CD 35 25 41 B4 D3 B8 8A F8 78 7E 24 22 92
-01C0 | CC A8 4A 5D 2B C2 EA 89 D4 23 30 6E 6C 11 BA BF
-01D0 | 5C 8C AF E3 4E 46 8E 41 DE 82 2B CA 6F 93 A8 CF
-01E0 | 88 63 5A 7B 9D 74 0A CF 19 6F 62 89 BA 5A 50 21
-01F0 | 01 8E C7 26 DE 61 F2 53 C4 0E 6F F2 36 65 63 99
-0200 | 32 70 84 37 C9 7E 83 7B 7A DD 06 74 DB 2D 9C F7
-0210 | 2B 01 27 63 EF F5 7B 08 D4 C3 96 A7 EA 4B 9E E0
-0220 | F4 14 1A 03 7F C6 7E 1C 69 70 E4 9F BE 7F A9 58
-0230 | 6B 21 A9 66

+0130 | 9E 57 6D A4 78 8A F1 03 ED 40 CB 49 7A 59 5E 18
+0140 | 58 D9 00 1D C1 D3 A6 58 A1 3F 09 E8 EC 02 59 B2
+0150 | EB 33 88 C5 39 AA 51 5E 95 D0 DB C4 B0 72 C1 76
+0160 | 2E CD 34 71 5E 10 E5 6B 50 8A 85 31 1E DE AA 19
+0170 | 0B D4 5E D1 E3 5B FC A8 89 DC 0B A6 0F CD 9C DC
+0180 | CB 02 9C A8 21 A0 1D BF FC 27 8A 10 AF FC C2 A9
+0190 | A5 9A C1 9F CE B8 28 3C C9 37 D1 97 0D 4B D9 B6
+01A0 | 43 DA E1 E0 28 D0 58 22 38 C5 9B 68 BD A5 66 4B
+01B0 | 52 43 88 85 AE B2 3B 0F D1 55 8E 0B F6 3C 74 59
+01C0 | 5A 4D 12 8F 0C 0F 6F B6 BD 0F EB 88 02 E1 BC 25
+01D0 | 17 16 A6 C8 CE 9B 33 76 68 10 69 8F BA 0B AA F0
+01E0 | 4B 09 4E 50 26 97 E1 B4 B8 B9 03 A2 F2 08 44 D5
+01F0 | 2F A5 57 31 3C 0C 24 F3 AB 3A 90 11 60 63 64 A4
+0200 | 32 B0 B7 0D 68 8B F7 2B 05 D0 E4 48 5B C4 3B 7F
+0210 | C4 CA 7F F7 4C 76 D9 1A 65 3D C4 5C 4C D7 1E 3A
+0220 | 1D 25 51 A4 35 E2 43 44 46 0C 6C D2 E7 CC 8A BA
+0230 | 01 B9 AB 66

Payload (de)serialization:

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;
message_id 8, 801A03A196B21A9660124B7ED01B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 4C0020000 (704 in decimal)E4020000 (740 in decimal) Message body length
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 40, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
encrypted_answer 56, 596FE500200D29917ED5FF3F8F51E7F8A47 C7B25FB7AAE69F7BE198FBD3FC7A6A87 9830CEB42C24F039C4B696CC0728A18E 2843F7E1F7F9F86D46499ABE9F050BF1 2DECF4CB6E075ECB6F28BC769E9E23D3 3720FB3AEF171436521B0881476B91F8 75F8BFD403DEF5B467B9BEE7DAA4F972 214C34BC767563B5379F1DD4970E95EC DA9D46A91DCB60CE263197881AF65131 EF01350F3ED2C7E316BC36EE007ECE88 CFDDA7DFC9DA94B858C7635D9AC3F771 A59BDDD39255EB723B27BA9075490CE0 7F0CD6C73482F9E1C82C9F33FA334F78 C77191D1E82EBC6A7A1DC88C9CC27191 C0B07A6E150815A53E7F7462BFE4D441 B63EAAEFD95D3AD5DE0ABAE90C6FDBCF B9C56C73460C9746D85845A31141F609 E1646BC976B2C493E7E15EB577407170 2F1C6FD2FB2C78F761F12CF9D55BF23E 6CA26727405205B35EEF50647B61633F 039164F0D06C0ADD7B8847E0077BAA2E 260033F220193FEB93F6F03013E5993F 15F907EC0BAA7021E14E7E7DAF3D3430 793036767DCDFEDBACA4270DD46DD45E 46F86FD76D35C705F7B93D915BDE0D80 39C3755971A0865E27E5E73672D9B728 4E3B8EE601FA35817EF5B36452464B3C F485862BF3B58CE2DE2DD3E1817E40C2 76CA5A3A110E1AE30AA285D2EF5EF38C 3E397F385E7B2EA75C4B62422EE50ECF 8723EB88273AE9125B70E5AB1D431692 C92C91DD44EB252BED0EA32222C87122 81CACF2DF5635266FD583E0C122764DB CAAF439ED53522C9B8253A8C12A8D935 EA771D5FA6DB426DA6AE6029A2B00AE4 F922EDC75AD30EC647F4AFBA2E6956EC 8BE830080474E114C27D6AD52249DF75
F95537CD		FE5002005FA3625828AD5078AF38E572 0F5B5876BB5B487F5DC90EAA2F3A4EDF 980505B7CDC67C4728B6C0DB2A01427E 15E4218810E28519F7F5CC45AA78452E B8EC1D9A796A1B8AF11E401B5079B92C 91742606D3AE7F121CA1128B1DA817CD F03C39F4681206C3931659D060AAE911 A3B988206CD1B642AAA99D1F91FD6BDE EE83D2D7991E1B1904A6EE414604281E 4302AFC7819E7414EEFF9EC8CDD42931 07345DA13510EE8BF762350F2B9B7346 90894AA08E3BF7149277F91DCE97D8B8 4F1C68A47BB7104077E4B2B044A0EF44 E8F0CF89CFAAF6490CF7C51650412743 D03441FA15EE469496747479F0B246CB EE64F34F178CFA915068B0A81FBBF13B CF606B0828F1CCCA48A41E5E3FFEF8F1 7033F13BD1D3C250266C750EDADFA75D DFE41522670CF5DECD46766E99FC106D 2A171BC3DA2A82B24E1BC45D975C5EEE FEEE5233FDC6CB33D13DDE3331BE7BAD 6DBBE11C60389CE776B275DD098991B1 EAEB7EC7E2CB3947EB54B19E820D78E0 B621BEA4616C8A24F47CFA2F8F05AD92 E07369107C806D3B40C6A6031DEC1167 BF1679E2C4348525E96B88CC4319AF4D ED61A052E42C3DFE47C9946A8A37862F 1DB3CB0EAE2FEF06A1EFC56E675D2717 C6000247EB0E0F3AEF5F1876668DC778 3A6345B5D40B310F51A6B6B8B229BA7B 02E38766CAAC94DB50B94C354353B75C C6E86837A5D6C21A943602DA087DCF1E B06E7DA2B3E8B78DCB093B9FA48E2722 C7A04549D5DE8EF6B419FB58640873B3 0D56B2B82FF6592AA55742C2FB52FB58 A70740872DF85CFDA023D165CDD7D386 244993EEED773F37E8223E8DE0BAAE61
5AFBDDF9		 See below
@@ -570,13 +570,13 @@ answer = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D - + - + @@ -594,13 +594,13 @@ answer = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D - + - + @@ -609,34 +609,34 @@ answer = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D
7) Client computes random 2048-bit number b (using a sufficient amount of entropy) and sends the server a message

First, generate a secure random 2048-bit number b:

-
b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
+
b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

Then compute g_b = pow(g, b) mod dh_prime

-
g_b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
+
g_b = F4DD39A1882D3797A05F76A66535388FABE5E8767EAA2C1E27A484DE070F49F90278DF4D77345802D7D36230B12687E46D5C8C372D3856FE2FA79819688697187D056321C224CFC48ED308B2F055D8F06A7E6EDE33DD2EF0C86D4D423132440F67A32A263EC794724165E1FF2922B5CA19EBBF9BDA71242FC0A6427D6BB6B62F80EA293B972F889A68C70FD8F8A763D80725516A3FF81513143038DB59E0788E12BF812F9D7235FA1D91DBDE451165E0EF24226922B63D6C9A03AD09209B339816261949917C8CA55E3231A105042DD683A404DB6A271B95A0D61341675F340CAD420DED46BA0089F93CC14CFB6D264A1D16C59D61F98F5ABA5EDC80637753
7.1) generation of encrypted_data

Generated payload (excluding transport headers/trailers):

-
0000 | 54 B6 43 66 12 C3 06 4D DC AA 11 9F 34 EB 28 26
-0010 | C7 82 24 D9 BB EB 55 8F 3B 71 35 7F 86 21 B7 12
-0020 | 51 B2 70 D2 00 00 00 00 00 00 00 00 FE 00 01 00
-0030 | 48 21 71 4C 86 3B 07 4C 59 AD F5 A6 89 74 A4 52
-0040 | 0D D5 C7 A3 22 E1 7B 39 EC 5E 14 A5 5D F1 3F A4
-0050 | 68 02 DB 78 18 67 28 52 51 C7 FA 62 50 EC FA 2F
-0060 | EC D8 42 DA AC 02 B0 89 8B EA CF B8 5F F1 B8 0B
-0070 | DF 1A 0A 69 23 E5 CA E4 10 B6 7F 89 7B 03 33 BE
-0080 | C0 96 95 E6 45 63 AB FD 9E 40 71 2B 3A 5F 20 13
-0090 | 34 3A E4 68 76 46 4C A0 51 6F 67 BD 47 49 57 93
-00A0 | 68 F4 44 EC 83 D1 25 BB 4D C8 D9 A9 E9 07 E6 6F
-00B0 | 80 33 C9 13 04 5B 07 2C F2 76 9F 06 D3 F4 20 7E
-00C0 | 75 35 25 F0 DF 3E 97 81 2A 4A D3 4A BB BE 72 D0
-00D0 | 29 49 D5 2B 59 75 E4 9C B2 EC 08 6F F9 35 83 C5
-00E0 | 29 A3 94 49 C3 5A 4E 3E D8 C4 55 DF 25 59 D8 07
-00F0 | E9 B2 0B 17 1B 0F F2 66 66 DF 1F CE 45 1B 39 6D
-0100 | B7 5E F2 04 70 11 8C 35 D3 B7 0B 88 36 AC 18 D3
-0110 | 2D 7C 31 F7 C2 AB 49 7B 2E D8 8F 1E AD C2 69 EC
-0120 | EC 42 98 4F AE 17 CE 49 C3 1B 36 44 73 72 5F A4
+
0000 | 54 B6 43 66 A7 DE B1 F0 60 93 B2 7E 6E 98 40 24
+0010 | 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3 3B 8E D0 94
+0020 | 91 64 C4 44 00 00 00 00 00 00 00 00 FE FF 00 00
+0030 | F4 DD 39 A1 88 2D 37 97 A0 5F 76 A6 65 35 38 8F
+0040 | AB E5 E8 76 7E AA 2C 1E 27 A4 84 DE 07 0F 49 F9
+0050 | 02 78 DF 4D 77 34 58 02 D7 D3 62 30 B1 26 87 E4
+0060 | 6D 5C 8C 37 2D 38 56 FE 2F A7 98 19 68 86 97 18
+0070 | 7D 05 63 21 C2 24 CF C4 8E D3 08 B2 F0 55 D8 F0
+0080 | 6A 7E 6E DE 33 DD 2E F0 C8 6D 4D 42 31 32 44 0F
+0090 | 67 A3 2A 26 3E C7 94 72 41 65 E1 FF 29 22 B5 CA
+00A0 | 19 EB BF 9B DA 71 24 2F C0 A6 42 7D 6B B6 B6 2F
+00B0 | 80 EA 29 3B 97 2F 88 9A 68 C7 0F D8 F8 A7 63 D8
+00C0 | 07 25 51 6A 3F F8 15 13 14 30 38 DB 59 E0 78 8E
+00D0 | 12 BF 81 2F 9D 72 35 FA 1D 91 DB DE 45 11 65 E0
+00E0 | EF 24 22 69 22 B6 3D 6C 9A 03 AD 09 20 9B 33 98
+00F0 | 16 26 19 49 91 7C 8C A5 5E 32 31 A1 05 04 2D D6
+0100 | 83 A4 04 DB 6A 27 1B 95 A0 D6 13 41 67 5F 34 0C
+0110 | AD 42 0D ED 46 BA 00 89 F9 3C C1 4C FB 6D 26 4A
+0120 | 1D 16 C5 9D 61 F9 8F 5A BA 5E DC 80 63 77 53 00

Payload (de)serialization:

client_DH_inner_data#6643b654 nonce:int128 server_nonce:int128 retry_id:long g_b:string = Client_DH_Inner_Data;
nonce 4, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 20, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
g_a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
BE7FA958		FE0001009E576DA4788AF103ED40CB49 7A595E1858D9001DC1D3A658A13F09E8 EC0259B2EB3388C539AA515E95D0DBC4 B072C1762ECD34715E10E56B508A8531 1EDEAA190BD45ED1E35BFCA889DC0BA6 0FCD9CDCCB029CA821A01DBFFC278A10 AFFCC2A9A59AC19FCEB8283CC937D197 0D4BD9B643DAE1E028D0582238C59B68 BDA5664B52438885AEB23B0FD1558E0B F63C74595A4D128F0C0F6FB6BD0FEB88 02E1BC251716A6C8CE9B33766810698F BA0BAAF04B094E502697E1B4B8B903A2 F20844D52FA557313C0C24F3AB3A9011 606364A432B0B70D688BF72B05D0E448 5BC43B7FC4CA7FF74C76D91A653DC45C 4CD71E3A1D2551A435E24344460C6CD2
E7CC8ABA		 g_a diffie-hellman parameter
server_time 560, 46B21A966 (1722360171 in decimal)01B9AB66 (1722530049 in decimal) Server time
@@ -658,19 +658,19 @@ answer = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D - + - + - + @@ -684,47 +684,47 @@ answer = BA0D89B512C3064DDCAA119F34EB2826C78224D9BBEB558F3B71357F8621B71251B270D

The serialization of Client_DH_Inner_Data produces a string data. This is used to generate encrypted_data as specified in step 6, using the following inputs:

-
data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
-padding = AB14EBA0A63497D4168238D2
-tmp_aes_key = 98173694F80A3DEA8E6E1237B317DC8EA983D7B180F7152E25F461CCA059CA25
-tmp_aes_iv = C6DC6366725C19455CDCD47707D1843FF21BBFE2B9B17ED018930B13C7C0982D
+
data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
+padding = D484187F9FB4A72524CE5E91
+tmp_aes_key = 2C99D95C8A6F7256F976E8EC2DE74F7FA48A1D1BBD2C3CE21040B45A0C9FF10C
+tmp_aes_iv = FFC0644F47C406AAFC9F41386ADE90487D82EEB7F2C5DEAD4BC0294D25022BC0

Process:

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);

Output:

-
encrypted_data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
+
encrypted_data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

The length of the final string is 336 bytes.

7.2) set_client_DH_params query

Sent payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 94 5D 0C 00 6B 21 A9 66
-0010 | 78 01 00 00 1F 5F 04 F5 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9 BB EB 55 8F 3B 71 35 7F
-0030 | 86 21 B7 12 51 B2 70 D2 FE 50 01 00 C4 A1 23 45
-0040 | DE D2 87 DE E2 64 A3 EF 41 4A A4 64 13 60 E0 0F
-0050 | 32 99 59 65 A0 08 28 E4 74 69 4E 19 46 57 3C 81
-0060 | 3E D7 4C E6 D5 48 4E 9A BB B3 A3 18 6B 04 FA A5
-0070 | F8 D0 C4 27 4C 0C 3E 3D C7 DD E4 78 46 1D F4 28
-0080 | 31 80 9E 38 64 89 E9 41 BC 9F 07 3A E4 5E CB 11
-0090 | 58 FF E6 01 28 37 75 D7 FB 39 AB F4 4D 19 69 71
-00A0 | B9 61 C2 4E C2 A5 F5 29 93 16 23 93 93 D6 24 87
-00B0 | 42 D2 70 8A 0F 67 F3 78 26 19 44 D1 FB DC 00 BD
-00C0 | 7E E7 1F CD D0 DF 29 47 30 D8 8D 80 12 F7 B4 F2
-00D0 | 71 99 A4 4A 5A 54 98 90 63 F9 5E 71 76 51 EA F7
-00E0 | 04 14 1D F8 04 50 A1 94 9F 1A 17 58 84 A7 FB 08
-00F0 | F3 9A 79 80 C4 3D 30 E9 E7 F8 25 5D 78 F8 46 53
-0100 | C2 44 07 2D D1 3E E9 E1 9E 7F E6 B9 F1 B3 75 9F
-0110 | 95 93 49 E2 3E B9 7B 0A 1C 16 CF 31 4E 24 D8 E3
-0120 | 2A 76 05 34 94 E0 05 4B 81 B2 A3 42 CC 25 10 D8
-0130 | 8A E7 E8 37 6E C6 9F 72 A2 60 BF 4A 02 4F 6A 85
-0140 | 4B D8 D0 47 47 DA EC EC 66 B7 37 0C 08 26 75 83
-0150 | 01 1C 85 9B FF 44 22 69 9F 5E A8 3C 22 AB 09 81
-0160 | 0B 16 21 7F 88 24 C8 71 02 3D 22 4A 03 B5 0B 3D
-0170 | A3 41 8D 19 9D BD D5 7E 98 6F 51 40 03 59 78 DC
-0180 | 57 F7 AA 98 BD 46 C9 27 B9 4A 36 D6
+
0000 | 00 00 00 00 00 00 00 00 B8 7C 0C 00 01 B9 AB 66
+0010 | 78 01 00 00 1F 5F 04 F5 A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3
+0030 | 3B 8E D0 94 91 64 C4 44 FE 50 01 00 E3 24 44 EE
+0040 | 85 8E 03 DD 56 CC D7 DD C7 7B 70 9F E1 6A 91 9E
+0050 | A9 20 8B A6 1B A3 B9 49 88 93 2A D5 AA 7B 71 91
+0060 | 20 06 DE 6E 76 B4 31 BA 59 B4 64 A0 FD 31 D9 20
+0070 | E4 83 4D D8 6A 04 BE 12 83 18 7A 5E 3E 74 0D 89
+0080 | 55 34 E8 FB CA 9B 38 8E 32 DA DB F1 91 F2 D5 8F
+0090 | 98 BD 74 EA D2 71 71 A3 47 00 82 5D 7F A1 D5 E9
+00A0 | 96 D8 BD BC C7 91 00 5A 41 88 A6 B9 9E C7 F4 04
+00B0 | B2 D6 52 D2 7C D4 A2 7E 96 E4 E8 1C 83 27 77 B9
+00C0 | 76 79 FB 38 26 DB 1C 88 CA F7 78 05 38 2A 1B 14
+00D0 | 2A 0A C9 83 C0 E5 6D CE DC 34 E8 94 E0 4E 6C 7D
+00E0 | 9A 8D CC AB 1F F9 63 A6 62 6A 93 05 77 B7 78 B3
+00F0 | 64 F3 8A 8B B2 16 29 E6 C1 DC F8 B2 D1 AE 71 9D
+0100 | 5D 03 02 64 E2 BF FB F0 73 10 03 2D AD B4 DB 47
+0110 | 7E 7C 95 3C 2C 1B FF AA B9 DD F3 68 A0 0B B8 DE
+0120 | FC FD F0 8D 27 7F 65 6A 32 B0 8E 95 10 EC 7D 3D
+0130 | 5D 34 90 0C 6B D0 EF E6 7E F2 8B 06 23 80 C6 F2
+0140 | 45 F5 A6 D3 85 37 E3 70 FE 7E 01 5D 0B D2 59 FC
+0150 | 97 23 36 AD E5 0E 8B 41 58 21 30 1A 95 CD E7 9A
+0160 | 84 3B 50 F9 A6 99 6F 3D 54 BD 7B D3 34 01 A9 92
+0170 | 53 D1 88 BA 21 E0 6B 4A 46 75 B6 57 39 9F 06 D7
+0180 | AE 0B E8 67 59 0C B6 96 65 E3 AE D5

Payload (de)serialization:

set_client_DH_params#f5045f1f nonce:int128 server_nonce:int128 encrypted_data:string = Set_client_DH_params_answer;
nonce 4, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 20, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
g_b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
73725FA4		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
63775300		 Single-byte prefix denoting length, a 256-byte (2048-bit) string, and zero bytes of padding
@@ -746,7 +746,7 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);< - + @@ -764,19 +764,19 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);< - + - + - + @@ -785,17 +785,17 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);<
8) Auth key generation

The client computes the auth_key using formula g_a^b mod dh_prime:

-
auth_key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
+
auth_key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
9) Final server reply

The server verifies and confirms that auth_key_hash is unique: since it's unique, it replies with the following:

Received payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 01 9C 46 F8 6B 21 A9 66
-0010 | 80 00 00 00 34 F7 CB 3B 12 C3 06 4D DC AA 11 9F
-0020 | 34 EB 28 26 C7 82 24 D9 BB EB 55 8F 3B 71 35 7F
-0030 | 86 21 B7 12 51 B2 70 D2 DA F7 CC 4B 8E 84 63 55
-0040 | 66 CC 78 20 D6 81 0D 79
+
0000 | 00 00 00 00 00 00 00 00 01 7C 7B 95 02 B9 AB 66
+0010 | AC 00 00 00 34 F7 CB 3B A7 DE B1 F0 60 93 B2 7E
+0020 | 6E 98 40 24 9B D3 CC 00 79 6D 6C 2F 93 79 BD C3
+0030 | 3B 8E D0 94 91 64 C4 44 73 0B AF C8 1C 16 7E D8
+0040 | 51 2D 2F 4A 89 E2 53 F4

Payload (de)serialization:

dh_gen_ok#3bcbf734 nonce:int128 server_nonce:int128 new_nonce_hash1:int128 = Set_client_DH_params_answer;
message_id 8, 8945D0C006B21A966B87C0C0001B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 40, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
encrypted_data 56, 340FE500100C4A12345DED287DEE264A3EF 414AA4641360E00F32995965A00828E4 74694E1946573C813ED74CE6D5484E9A BBB3A3186B04FAA5F8D0C4274C0C3E3D C7DDE478461DF42831809E386489E941 BC9F073AE45ECB1158FFE601283775D7 FB39ABF44D196971B961C24EC2A5F529 9316239393D6248742D2708A0F67F378 261944D1FBDC00BD7EE71FCDD0DF2947 30D88D8012F7B4F27199A44A5A549890 63F95E717651EAF704141DF80450A194 9F1A175884A7FB08F39A7980C43D30E9 E7F8255D78F84653C244072DD13EE9E1 9E7FE6B9F1B3759F959349E23EB97B0A 1C16CF314E24D8E32A76053494E0054B 81B2A342CC2510D88AE7E8376EC69F72 A260BF4A024F6A854BD8D04747DAECEC 66B7370C08267583011C859BFF442269 9F5EA83C22AB09810B16217F8824C871 023D224A03B50B3DA3418D199DBDD57E 986F5140035978DC57F7AA98BD46C927
B94A36D6		FE500100E32444EE858E03DD56CCD7DD C77B709FE16A919EA9208BA61BA3B949 88932AD5AA7B71912006DE6E76B431BA 59B464A0FD31D920E4834DD86A04BE12 83187A5E3E740D895534E8FBCA9B388E 32DADBF191F2D58F98BD74EAD27171A3 4700825D7FA1D5E996D8BDBCC791005A 4188A6B99EC7F404B2D652D27CD4A27E 96E4E81C832777B97679FB3826DB1C88 CAF77805382A1B142A0AC983C0E56DCE DC34E894E04E6C7D9A8DCCAB1FF963A6 626A930577B778B364F38A8BB21629E6 C1DCF8B2D1AE719D5D030264E2BFFBF0 7310032DADB4DB477E7C953C2C1BFFAA B9DDF368A00BB8DEFCFDF08D277F656A 32B08E9510EC7D3D5D34900C6BD0EFE6 7EF28B062380C6F245F5A6D38537E370 FE7E015D0BD259FC972336ADE50E8B41 5821301A95CDE79A843B50F9A6996F3D 54BD7BD33401A99253D188BA21E06B4A 4675B657399F06D7AE0BE867590CB696
65E3AED5		 Encrypted client_DH_inner_data generated previously, serialized as a TL byte string
@@ -817,13 +817,13 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);< - + - + @@ -835,19 +835,19 @@ encrypted_data := AES256_ige_encrypt (data_with_hash, tmp_aes_key, tmp_aes_iv);< - + - + - +
message_id 8, 8019C46F86B21A966017C7B9502B9AB66 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 480000000 (128 in decimal)AC000000 (172 in decimal) Message body length
nonce 24, 1612C3064DDCAA119F34EB2826C78224D9A7DEB1F06093B27E6E9840249BD3CC00 Value generated by client in Step 1
server_nonce 40, 16BBEB558F3B71357F8621B71251B270D2796D6C2F9379BDC33B8ED0949164C444 Value received from server in Step 2
new_nonce_hash1 56, 16DAF7CC4B8E84635566CC7820D6810D79730BAFC81C167ED8512D2F4A89E253F4 The 128 lower-order bits of SHA1 of the byte string derived from the new_nonce string by adding a single byte with the value of 1, 2, or 3, and followed by another 8 bytes with auth_key_aux_hash. Different values are required to prevent an intruder from changing server response dh_gen_ok into dh_gen_retry.