From 8d5c070473ac22af8f4643571bf53dc5812486cd Mon Sep 17 00:00:00 2001 From: GitHub Action Date: Wed, 24 Jul 2024 18:30:36 +0000 Subject: [PATCH] Update content of files --- .../mtproto/samples-auth_key.html | 412 +++++++++--------- 1 file changed, 206 insertions(+), 206 deletions(-) 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 d4b43d8e27..245eb3c4db 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 58 30 0C 00 7A 43 A1 66
-0010 | 14 00 00 00 F1 8E 7E BE 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01
+
0000 | 00 00 00 00 00 00 00 00 04 1C 0D 00 13 44 A1 66
+0010 | 14 00 00 00 F1 8E 7E BE 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09

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 7C 25 D6 7A 43 A1 66
-0010 | A0 00 00 00 63 24 16 05 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1
-0030 | E0 39 D1 40 00 ED 24 1D 08 18 E5 21 66 98 54 81
-0040 | 05 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 18 64 74 13 44 A1 66
+0010 | 74 00 00 00 63 24 16 05 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09 33 E8 1F 9C 78 18 56 F0
+0030 | 1D D4 12 93 F2 25 29 B8 08 18 BC 88 58 D2 19 99
+0040 | B9 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 = 1793876751103066373
-

Decompose into 2 prime cofactors p < q: 1793876751103066373 = 1128986147 * 1588927159

-
p = 1128986147
-q = 1588927159
+
pq = 1782449467595266489
+

Decompose into 2 prime cofactors p < q: 1782449467595266489 = 1019918539 * 1747639051

+
p = 1019918539
+q = 1747639051

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 18 E5 21 66 98 54 81 05 00 00 00
-0010 | 04 43 4A F6 23 00 00 00 04 5E B5 1A B7 00 00 00
-0020 | 66 CD 10 76 62 1B 9E 73 E9 F5 D2 63 5F 0C 1A 01
-0030 | 26 AF A9 7C 5F D7 7F F1 E0 39 D1 40 00 ED 24 1D
-0040 | 9A 87 9B 42 20 45 9F 61 DA D0 C6 96 12 A4 7A 3E
-0050 | C0 07 6A B1 6E 06 36 4C 70 0D 14 53 3A 22 C6 6A
+
0000 | 95 5F F5 A9 08 18 BC 88 58 D2 19 99 B9 00 00 00
+0010 | 04 3C CA B8 CB 00 00 00 04 68 2A DB 0B 00 00 00
+0020 | 6A 9B 4E AF AE 17 1B B3 A7 3D 9E A9 7C 57 90 09
+0030 | 33 E8 1F 9C 78 18 56 F0 1D D4 12 93 F2 25 29 B8
+0040 | 67 C7 C1 2C 08 D9 8E A3 67 79 F2 2E 6A 37 EC 96
+0050 | B2 08 3E 55 C1 32 E8 8E 3A A2 14 1B 13 89 40 42
 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 = 1588927159
 - + - + - + - + - + - + @@ -291,39 +291,39 @@ q = 1588927159

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 = 955FF5A90818E521669854810500000004434AF623000000045EB51AB700000066CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241D9A879B4220459F61DAD0C69612A47A3EC0076AB16E06364C700D14533A22C66A02000000
-random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2BC3EB101027F4C7534517F48D6BC9E8541DF75F449C4758B88D72AB64B48F6A6B55F7613EBD18D7CD98CD53E42BEAE3425F3B57CB23B7DEA4910D5208F68C828
+
data = 955FF5A90818BC8858D21999B9000000043CCAB8CB00000004682ADB0B0000006A9B4EAFAE171BB3A73D9EA97C57900933E81F9C781856F01DD41293F22529B867C7C12C08D98EA36779F22E6A37EC96B2083E55C132E88E3AA2141B1389404202000000
+random_padding_bytes = 8F16820B9F80F936AF6EC6F9AD9CAA06DD5C1280FF51958D69905208DDE494E74D04C448F505F866A944E4EB07309ECA53F7C132F70A9EC68A524D4A1259C1201BEE594E90E1619E1F83B24F061149E384A11D93BC3441F1AB2C00F4

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 40 3B 0F 00 7A 43 A1 66
-0010 | 40 01 00 00 BE E4 12 D7 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1
-0030 | E0 39 D1 40 00 ED 24 1D 04 43 4A F6 23 00 00 00
-0040 | 04 5E B5 1A B7 00 00 00 85 FD 64 DE 85 1D 9D D0
-0050 | FE 00 01 00 65 36 53 CF B0 75 7F 41 3B B5 87 CB
-0060 | 19 DA D4 39 72 02 70 A1 04 4E 97 78 61 E5 37 40
-0070 | 30 34 19 77 C5 4B 1B 47 9E 99 52 70 81 67 82 C7
-0080 | 10 D5 DC 84 2C 9A 60 E9 EC DC 2B 99 E4 21 4B AC
-0090 | 4B 2B 24 8F 29 D3 2E B2 24 98 1B FF 4A F9 86 4F
-00A0 | B0 CF 92 25 F5 0B 03 6D C7 14 AD 7C 26 38 5C A9
-00B0 | 7B 75 ED 09 25 3A 02 AF 66 F3 08 3E 2B 0B 60 4F
-00C0 | BC 1C A1 75 12 00 37 B9 2A 89 1E 24 95 DB D1 CA
-00D0 | 08 6C 4F 28 3C E4 57 60 E2 4D AA 9C A5 54 20 4C
-00E0 | 68 E2 E6 A7 80 9D E6 02 1A F6 26 A8 44 8F 89 CA
-00F0 | DB 17 1D 51 B7 E7 10 EA 78 C6 E8 47 5F 54 45 EB
-0100 | 3C C1 55 60 AF 84 6F 9B 19 D3 9C 78 30 62 1A 04
-0110 | D1 47 26 E9 89 3C B6 79 5E 96 F6 00 3A 39 B5 E2
-0120 | 52 1D 58 E5 01 77 BE DB CE BC 5F 54 5A 71 CE 57
-0130 | 10 43 A6 0E 17 AE C6 03 4E CE 5D BF 2D E0 75 52
-0140 | 42 DA 78 07 94 3B CC 69 87 62 5C 2A 46 F5 F3 97
-0150 | 50 23 84 ED
+
0000 | 00 00 00 00 00 00 00 00 08 1C 0D 00 13 44 A1 66
+0010 | 40 01 00 00 BE E4 12 D7 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09 33 E8 1F 9C 78 18 56 F0
+0030 | 1D D4 12 93 F2 25 29 B8 04 3C CA B8 CB 00 00 00
+0040 | 04 68 2A DB 0B 00 00 00 85 FD 64 DE 85 1D 9D D0
+0050 | FE 00 01 00 9D 2A 4D DC 7F ED 3E 9B E6 02 AF F7
+0060 | F5 8C 48 7F 79 2A 00 02 DE C2 04 F1 A3 CB D4 BA
+0070 | 64 21 9C 89 0E FF D9 8E 29 66 61 6D 4A EE 1B 62
+0080 | 7C E2 A1 4A 21 47 26 59 FC B8 72 FF 3B 56 CC 59
+0090 | D7 8E CA 9F 18 82 9C A1 15 11 C1 B2 26 B7 17 2C
+00A0 | E7 03 81 81 F5 E8 41 06 34 66 95 B2 D0 FC 8F DB
+00B0 | 2F 0F D7 ED DC 0C A9 00 93 A4 EE C1 E1 3E 5F 2C
+00C0 | 23 40 85 08 34 2B 19 89 EC CC 22 49 39 5E FB 84
+00D0 | 04 2B EA 5F 50 1D E9 46 52 D2 B7 F6 6E AF 0A 31
+00E0 | F3 00 E8 CC 08 C0 05 68 D6 B2 87 E7 C0 AB A5 BF
+00F0 | 11 24 15 C9 B8 C6 24 89 F3 A1 1D BD AF 9D 31 0A
+0100 | 6F EB C6 0D 4E 64 B1 03 D4 BE 8B 1A 6D 06 B1 22
+0110 | F4 DD D7 19 2B 8E 8F AB 93 28 98 75 C3 52 98 06
+0120 | 07 D2 8D 71 2A CF 7A 5E EC 15 8E 25 14 85 07 52
+0130 | D9 F7 5D 0D FF CB A3 2C B3 DE 03 72 74 75 4E 7E
+0140 | 73 18 3C 31 D1 87 69 4B 3E 76 C1 87 D0 64 85 B0
+0150 | 02 73 A7 F3

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, 858300C007A43A166041C0D001344A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Random number
message_id 8, 8017C25D67A43A166011864741344A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 4A0000000 (160 in decimal)74000000 (116 in decimal) Message body length
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 40, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Server-generated random number
pq 56, 120818E5216698548105000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1793876751103066373		0818BC8858D21999B9000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1782449467595266489		 Single-byte prefix denoting length, an 8-byte string, and three bytes of padding
pq 4, 120818E5216698548105000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1793876751103066373		0818BC8858D21999B9000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1782449467595266489		 Single-byte prefix denoting length, 8-byte string, and three bytes of padding
p 16, 804434AF623000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1128986147		043CCAB8CB000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1019918539		 First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
q 24, 8045EB51AB7000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1588927159		04682ADB0B000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1747639051		 Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
nonce 32, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 48, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
new_nonce 64, 329A879B4220459F61DAD0C69612A47A3E C0076AB16E06364C700D14533A22C66A67C7C12C08D98EA36779F22E6A37EC96 B2083E55C132E88E3AA2141B13894042 Client-generated random number
@@ -345,7 +345,7 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B - + @@ -363,25 +363,25 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B - + - + - + - + @@ -393,7 +393,7 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B - + @@ -402,47 +402,47 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B
6) Server responds with:

Received payload (excluding transport headers/trailers):

-
0000 | 00 00 00 00 00 00 00 00 01 E0 8B A3 7B 43 A1 66
-0010 | A4 02 00 00 5C 07 E8 D0 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1
-0030 | E0 39 D1 40 00 ED 24 1D FE 50 02 00 18 B9 1A 33
-0040 | DE F8 5A FB 14 DF CA 63 35 97 CD BA B2 C2 34 4D
-0050 | 8A F8 F5 44 20 5E 48 63 F1 D3 40 77 F9 77 1C 75
-0060 | 8D 22 7D BA A3 BB 9F 3C FE F7 2F 5C 79 CC 3C D0
-0070 | 59 28 8F CC 65 16 46 19 3E 13 BD CA 93 A2 23 E5
-0080 | 04 0B C3 0F 3F 90 2A 11 12 90 65 B4 8A 65 0E FB
-0090 | F6 76 CF 71 38 C2 1C 33 5F 40 EC AE BA E9 CD A4
-00A0 | 3D 39 D4 A3 58 55 99 92 3B 15 FC FA C8 97 A2 8D
-00B0 | B5 0B 54 7D 9A B2 D9 B7 B0 40 5B 65 93 03 6D 12
-00C0 | FA 41 50 0F 3A 03 F7 E9 C6 24 B0 6B C1 A4 D9 16
-00D0 | 94 1C 39 0F 63 D5 F5 18 09 43 D3 F8 0C 3F E5 30
-00E0 | 07 96 55 E2 3C 4C 1E B2 2A 9F FE A3 72 E6 6A 41
-00F0 | 7D 60 4F D6 D0 5F 34 35 88 C2 BC 8F 92 7A 84 44
-0100 | 7B EF CA 8B C9 0B E1 2C D2 37 37 6D 16 73 17 12
-0110 | 6A D2 5E 7C 2A 80 83 70 CF 9D 63 88 CC CE 13 CC
-0120 | 49 F8 EA E4 A3 6C 97 44 F3 11 CB 79 60 05 04 E1
-0130 | A0 5B F2 16 71 A1 BA AA 52 D3 8F 38 3E F5 6C BD
-0140 | 6B A4 D5 E9 14 A9 35 50 FF 74 CC E1 DA 5E CD 5C
-0150 | 77 ED AF 39 F5 AC BE 7E 8D BE 21 DF FB 1A 99 80
-0160 | 99 D4 13 47 09 5E E9 B7 5D 2E 63 E7 45 D1 1B 00
-0170 | 4B DF 79 46 FA 8C A7 AF 0F 08 BA 2D 8A 41 BA 9B
-0180 | 8F B2 7B 25 DD 5F 5E 28 CF B7 C0 90 58 D4 C4 ED
-0190 | DF F7 FB E8 33 EC FB 98 C3 BC 36 C3 EC E4 52 15
-01A0 | 95 F2 24 6F DB 05 D9 C3 03 2A 24 A9 85 A7 89 5F
-01B0 | 3A 84 B4 A7 7C 6D 6E 19 5A 58 94 46 79 69 44 E6
-01C0 | B5 4E B0 87 55 CD 4F 03 C5 07 A1 F8 86 54 51 C4
-01D0 | 4B F3 DB 53 DA 1F 95 DD 8F 0D 16 42 41 C0 84 43
-01E0 | 8F AC F5 DD 5C E9 1E 1F BA B4 AE 23 DF 58 88 EA
-01F0 | 49 70 5D 85 88 7F 37 40 D2 FD 13 87 AD D0 F1 D0
-0200 | B5 97 69 E7 A1 24 72 13 7A 65 99 BB 08 02 5B 37
-0210 | 96 69 5E 34 3F 39 33 BF AF 19 DA 9B 9D 13 52 E8
-0220 | A5 ED 5D 01 3B 11 84 86 AC F9 76 B8 AA E8 65 36
-0230 | 2C 20 9C B4 92 A9 34 7E 09 B3 01 36 9D E8 C5 6D
-0240 | E5 06 1E DE D3 7C B5 E3 1D FA 98 DB 4A 27 73 FB
-0250 | 07 36 A1 87 ED 5F 46 92 2D 37 44 6F 1C 6E 26 DD
-0260 | 64 CC 1C D1 A3 8C 07 D9 9A CA FB F7 C6 09 91 03
-0270 | BA A4 93 2C C1 A2 8F D0 C3 5B 2D 6C FB 9D 73 F9
-0280 | F3 FD 90 06 DD DA B1 3D 23 08 5D 80
+
0000 | 00 00 00 00 00 00 00 00 01 DC 8E 4E 14 44 A1 66
+0010 | 80 02 00 00 5C 07 E8 D0 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09 33 E8 1F 9C 78 18 56 F0
+0030 | 1D D4 12 93 F2 25 29 B8 FE 50 02 00 66 1D BB F5
+0040 | 4D 31 AC B8 FE 6B 1A 44 E9 D5 0A 4F 28 56 8A 5D
+0050 | 82 8F 20 EA E6 4C 2F DB ED 8E FE 39 A1 76 D0 BC
+0060 | F3 45 9C 69 6D 7B 52 F9 39 09 50 09 24 53 68 D2
+0070 | 69 73 F9 B7 79 4C EF 3D B9 49 0E 98 31 0C 20 32
+0080 | 25 0C 3C 81 24 E6 75 90 DF 75 3A 35 78 32 95 20
+0090 | 55 FE EC 39 FF F7 E3 C7 68 4F D8 F5 14 D3 B7 CF
+00A0 | DA DD DA A2 DE 42 52 4C 0B 2A 15 42 A8 EF 11 E7
+00B0 | 2B 18 84 2C 0F A9 20 41 CF 23 3B DE 62 E1 98 66
+00C0 | C0 FA 25 7E DF 2C E3 84 56 EF 76 61 E3 2E 0F 08
+00D0 | 06 4D 67 A4 3D 16 1B F6 7A 28 CD 80 CA 29 C6 9F
+00E0 | CD 47 0A 27 3E 1F F3 15 AD 47 F4 07 7A 0C 3E 28
+00F0 | EC 99 64 D0 3A BE 59 AB CD 90 AA BC 7A 41 E1 50
+0100 | C9 22 BC A8 10 FF 53 27 1E 20 2B 6D F4 48 4A 4A
+0110 | 21 F4 D5 5A 7E 98 94 99 54 CD CE B4 C4 33 78 3D
+0120 | FE 02 1B 93 F3 0E 55 D7 45 E7 D2 78 13 4A 1E D6
+0130 | 86 65 7B 80 8B 1F 4D 28 2B A1 24 3E 99 5F 92 F2
+0140 | 6D AD 07 E4 E2 99 3F 84 2A 97 60 59 2C 66 11 2B
+0150 | C9 5B 09 4F 11 B9 15 62 9D 29 3A B0 DF F1 7A AA
+0160 | 5C E1 F2 3C E3 1E 25 0C 48 E8 61 F6 10 25 BF C6
+0170 | 22 2C 23 06 CB DB 2A 11 93 F7 80 0E 0B 72 61 6A
+0180 | DF 12 1A 08 8C 58 A3 2D 51 99 C0 8D EB 94 DE C3
+0190 | 3B E1 A6 DF 98 85 CB A3 0F 95 11 58 84 0F E5 F1
+01A0 | EA A7 A1 51 0F 93 09 B8 93 42 2E A6 6D D4 DF 4A
+01B0 | A4 86 C3 99 05 E7 45 D6 33 22 C1 5A 58 8E ED A6
+01C0 | 9D B1 60 84 34 3B 8A 04 4D A4 2D 2F 00 0C 37 01
+01D0 | 3D D3 1A 0B 2B 46 C8 8D B7 AD 96 B9 EB 99 DC 0D
+01E0 | 7C AB 92 EA 54 6B 1E 1E 49 F1 D1 74 FD 94 F1 5C
+01F0 | CF E3 04 37 57 9B A8 17 04 5B C7 C4 B2 16 F5 2E
+0200 | 6A 7D 9E 58 87 9C 55 7F A0 F3 5F 66 F5 60 18 3F
+0210 | F2 AC A3 F7 7D A8 B6 66 8E D0 8B CD 48 88 EE C6
+0220 | 44 B1 54 7C A0 9D 7F CB CA 19 E8 A7 75 4D 43 3A
+0230 | E2 51 E7 D8 F4 FB 99 EC BE 59 09 11 54 06 0B 4F
+0240 | 90 DF 9E 6F E4 1B 54 EA B2 0D 7D D8 C2 DF A2 CB
+0250 | 75 E4 4D E1 C8 D7 EB FB 6A D9 00 2E 44 1A E8 EF
+0260 | 38 78 F4 B3 CE 4E 7D 94 41 86 FF DA 66 89 56 30
+0270 | 04 BC 49 1B 95 D8 3A 04 4A E9 98 78 69 9C FC EF
+0280 | 88 FA 14 14 AC 1C D1 A4 49 7F D9 4C

Payload (de)serialization:

server_DH_params_ok#d0e8075c nonce:int128 server_nonce:int128 encrypted_answer:string = Server_DH_Params;
message_id 8, 8403B0F007A43A166081C0D001344A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 40, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
p 56, 804434AF623000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1128986147		043CCAB8CB000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1019918539		 First prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
q 64, 8045EB51AB7000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1588927159		04682ADB0B000000
TL byte deserialization
=> bigendian conversion to decimal
=> 1747639051		 Second prime cofactor: single-byte prefix denoting length, 4-byte string, and three bytes of padding
encrypted_data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
502384ED		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
0273A7F3		 Value generated above
@@ -464,13 +464,13 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B - + - + @@ -482,19 +482,19 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B - + - + - + @@ -502,20 +502,20 @@ random_padding_bytes = AC68E271EAEE1982E6AAE68D9D8BF850E7FF60921D8DF734798EA0D2B

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

-
encrypted_answer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
-tmp_aes_key = 9C9BB7C3AA015DBE62FE5577D0C089EF7C0A6EE4350CAC3BEE267C92AF846BBF
-tmp_aes_iv = E8F23793463529F1EBDB9B64830F0D3FDD9F5AD447CBBFF257E7385F9A879B42
+
encrypted_answer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
+tmp_aes_key = 76B7856C62B3B063872C5836F41263DBBEE80BE03CCB81964E47909EC368BA45
+tmp_aes_iv = C8461CF3798BF669D030D8D3910AEBFD94849B2FBC83DE839397845A67C7C12C

Yielding:

-
answer_with_hash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
-answer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
+
answer_with_hash = 2559B75F41BAC536C88FFD608406F7EBE5796A0EBA0D89B56A9B4EAFAE171BB3A73D9EA97C57900933E81F9C781856F01DD41293F22529B803000000FE000100C71CAEB9C6B1C9048E6C522F70F13F73980D40238E3E21C14934D037563D930F48198A0AA7C14058229493D22530F4DBFA336F6E0AC925139543AED44CCE7C3720FD51F69458705AC68CD4FE6B6B13ABDC9746512969328454F18FAF8C595F642477FE96BB2A941D5BCD1D4AC8CC49880708FA9B378E3C4F3A9060BEE67CF9A4A4A695811051907E162753B56B0F6B410DBA74D8A84B2A14B3144E0EF1284754FD17ED950D5965B4B9DD46582DB1178D169C6BC465B0D6FF9CA3928FEF5B9AE4E418FC15E83EBEA0F87FA9FF5EED70050DED2849F47BF959D956850CE929851F0D8115F635B105EE2E4E15D04B2454BF6F4FADF034B10403119CD8E3B92FCC5BFE000100C58C73F45D67F73438D4A9049E10C18951E0EA8E9322EF6658F41E6478A9E7BC5266ADE5A458A498A737CB5E7B67C1070B8D3002A7E78F414FDB066068A38E05E81123120849CB83E8A1189065F94D31286C2A34C6E3B77AC84BF54C1FA7D0F7DE80CF2E9B26B7F7454A648468952418467A52BAEB140080112243C78D68C1CFDAC56A62C667AC469C1E5E3EA0A88F2862B67E5160AE3E744FDAD670BCE4165D1C3C3EAE2628B409E8E9D857D64F33476F72E77DADC46885A12E6BBFEB9E95A0CBA61403AA6CB61F6EA46348B6BB7D9CE7EEC9DCA777CD33E5E9E936FF15A1339961E1D0DB93F4136843C9C38A5AF3C9A49BBFEEA43301E6F032C543274CDD3F1444A1660A597A3BFBBAC27C
+answer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

Generated payload (excluding transport headers/trailers):

-
0000 | BA 0D 89 B5 66 CD 10 76 62 1B 9E 73 E9 F5 D2 63
-0010 | 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1 E0 39 D1 40
-0020 | 00 ED 24 1D 03 00 00 00 FE 00 01 00 C7 1C AE B9
+
0000 | BA 0D 89 B5 6A 9B 4E AF AE 17 1B B3 A7 3D 9E A9
+0010 | 7C 57 90 09 33 E8 1F 9C 78 18 56 F0 1D D4 12 93
+0020 | F2 25 29 B8 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 = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241
 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 | BB CC 9D 18 A3 48 99 FB 13 B9 87 A3 CD CD 83 8D
-0140 | CE 93 45 54 B9 87 53 F0 95 E8 90 A9 B2 93 4D 14
-0150 | 4F 8E 07 53 1A 55 22 63 6C 85 B5 94 D1 57 6A 0C
-0160 | 56 C1 C2 9C 99 42 12 94 23 8F E8 00 6B 59 EC 9E
-0170 | F5 BE 48 DE 20 8B 31 34 FE D5 41 52 56 A6 1D B9
-0180 | 2F F6 30 B3 41 DF FB 47 5C C3 BA FA 8C 85 78 BD
-0190 | D5 CD 41 C7 EC 15 D0 54 36 BC 6E 30 BB D0 0A 76
-01A0 | FC 79 CD 74 39 66 15 3C 8D 0D C3 90 83 E4 DF 24
-01B0 | 9B 30 F7 E9 82 61 11 24 10 DF BC 70 C9 69 9C 1C
-01C0 | D4 23 36 50 D5 7B B9 1E E1 BD 38 12 94 80 7D CA
-01D0 | 26 DE E3 EB F3 7A DD 9E 36 1E 4D CA 6C A3 5F 53
-01E0 | 96 05 11 6E F1 D7 41 29 33 E4 56 51 A1 C2 E9 EF
-01F0 | 67 BC 39 3F B9 E7 10 36 42 9D 7B 66 52 85 43 DD
-0200 | 65 7C 30 04 36 C9 68 DE 7A 03 3A 1E 55 0E 22 E8
-0210 | 25 A3 F7 48 1A F4 BB B7 DA DA F6 40 EF 26 57 88
-0220 | 81 35 46 C7 F9 89 8F 2E 8C DD 45 A6 88 9F D1 63
-0230 | 7B 43 A1 66

+0130 | C5 8C 73 F4 5D 67 F7 34 38 D4 A9 04 9E 10 C1 89
+0140 | 51 E0 EA 8E 93 22 EF 66 58 F4 1E 64 78 A9 E7 BC
+0150 | 52 66 AD E5 A4 58 A4 98 A7 37 CB 5E 7B 67 C1 07
+0160 | 0B 8D 30 02 A7 E7 8F 41 4F DB 06 60 68 A3 8E 05
+0170 | E8 11 23 12 08 49 CB 83 E8 A1 18 90 65 F9 4D 31
+0180 | 28 6C 2A 34 C6 E3 B7 7A C8 4B F5 4C 1F A7 D0 F7
+0190 | DE 80 CF 2E 9B 26 B7 F7 45 4A 64 84 68 95 24 18
+01A0 | 46 7A 52 BA EB 14 00 80 11 22 43 C7 8D 68 C1 CF
+01B0 | DA C5 6A 62 C6 67 AC 46 9C 1E 5E 3E A0 A8 8F 28
+01C0 | 62 B6 7E 51 60 AE 3E 74 4F DA D6 70 BC E4 16 5D
+01D0 | 1C 3C 3E AE 26 28 B4 09 E8 E9 D8 57 D6 4F 33 47
+01E0 | 6F 72 E7 7D AD C4 68 85 A1 2E 6B BF EB 9E 95 A0
+01F0 | CB A6 14 03 AA 6C B6 1F 6E A4 63 48 B6 BB 7D 9C
+0200 | E7 EE C9 DC A7 77 CD 33 E5 E9 E9 36 FF 15 A1 33
+0210 | 99 61 E1 D0 DB 93 F4 13 68 43 C9 C3 8A 5A F3 C9
+0220 | A4 9B BF EE A4 33 01 E6 F0 32 C5 43 27 4C DD 3F
+0230 | 14 44 A1 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, 801E08BA37B43A16601DC8E4E1444A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 4A4020000 (676 in decimal)80020000 (640 in decimal) Message body length
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 40, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
encrypted_answer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
23085D80		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
497FD94C		 See below
@@ -570,13 +570,13 @@ answer = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241 - + - + @@ -594,13 +594,13 @@ answer = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241 - + - + @@ -609,34 +609,34 @@ answer = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241
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 = F3BD198E3CC3EFD50CD81617DEC349D6D1CED6F151A3CF2FDB8474C745B699024DFF87C750C1F1010337E7978602B9CF5A40886FA213B8CAD0DDDCEFFA24E5085CDBDC0B7AA83CD5EE3B4D556F17B0E8D75FA54ABDC2FC158B6A85E84EEA42BBA411805625F08922C83D3736B580B69003BDF7F25DE7216094305A4C384A1C98446D1572BE84ECB8A217DF614D6B7B32E473A1C2B8C8AF7DC957F7CA88D42BD3CDA313CC685434E3AEC33125C486983C799DAA1712AB9113539A555F932CF7ACF4C0F5FAD58EA6A2D4441738312EA3A021F0CCB49C79DD54BB9E4AA8938C33BA64016CFAE612641C4D9D080A08B15879CAA6DA8DCADFBF0EED807293433251A4
+
b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

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

-
g_b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
+
g_b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
7.1) generation of encrypted_data

Generated payload (excluding transport headers/trailers):

-
0000 | 54 B6 43 66 66 CD 10 76 62 1B 9E 73 E9 F5 D2 63
-0010 | 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1 E0 39 D1 40
-0020 | 00 ED 24 1D 00 00 00 00 00 00 00 00 FE 00 01 00
-0030 | 9B 35 B0 EE 11 89 9D 4E 05 82 2A 62 AE 8F BE 66
-0040 | F7 60 54 8C FB 05 D1 37 B0 0A 90 B3 49 D0 FB 05
-0050 | 3E 66 AB 85 CA 80 E7 34 79 60 D6 78 0C B7 9A 2F
-0060 | EA 10 9E AC B1 2B CB E9 C8 D8 D6 6D B2 0C 4D 40
-0070 | 47 5A DB BC FE B1 E5 E8 B3 46 BA 90 2E BE 0A E9
-0080 | A0 0F B9 63 37 21 8A 46 E6 6C C5 32 3A E8 F8 8E
-0090 | E8 14 70 7F A5 78 87 FF 01 0F EE 51 97 04 DE 88
-00A0 | 05 6B 5C 3B DB F8 D9 11 DA 07 B2 E9 F6 15 C4 1C
-00B0 | 49 5A 47 37 2A C3 E8 D5 60 4D 24 B2 C9 47 37 14
-00C0 | 2C E8 FA 10 76 5C 75 75 CE A0 13 6B 3B 2F 17 CC
-00D0 | 93 B2 CC 5C 46 EB 8C 74 16 CA FF D3 46 C9 78 4B
-00E0 | 7A 3B 50 EE 2B 06 43 80 08 7F 3E 86 EB E9 C2 67
-00F0 | 9D C1 F4 A2 38 C9 D2 76 60 FD E6 4C 53 79 8E C2
-0100 | 3B BB 36 F6 02 44 1F 37 B2 F3 70 F1 F3 37 9D 0F
-0110 | B5 7F CA 43 B9 A5 8B 4C A7 02 2E 65 8D 0D 93 84
-0120 | 95 43 CA C4 6D DF B2 7D 6D DE D4 17 4D DA 97 CB
+
0000 | 54 B6 43 66 6A 9B 4E AF AE 17 1B B3 A7 3D 9E A9
+0010 | 7C 57 90 09 33 E8 1F 9C 78 18 56 F0 1D D4 12 93
+0020 | F2 25 29 B8 00 00 00 00 00 00 00 00 FE 00 01 00
+0030 | 75 A4 0F 5A B9 4B F7 7D 83 F9 71 88 84 A5 7C B4
+0040 | 02 DC A1 3B F7 E7 B6 56 F9 F7 1D 37 31 55 F2 9F
+0050 | 49 64 49 89 49 AF DC BA C8 A0 86 0E 88 C4 69 A9
+0060 | DA 84 68 9E 9D F2 69 CF D2 0E ED 57 B1 10 BC C5
+0070 | 6C B3 28 88 8D 25 54 B1 3E 50 2A 3C CE 43 B3 06
+0080 | F6 42 F8 E7 48 1C 90 06 BF 29 25 7F 7C FD 3C E0
+0090 | C4 09 BB 46 D0 10 B2 0A 73 24 2D 1D 25 4B AC 31
+00A0 | 81 D3 94 E3 B9 00 75 D1 72 EE 9A 3C 92 83 8F 57
+00B0 | F5 B4 09 4D DB A9 4C AB 68 3A 9D 1D 46 5E E6 0D
+00C0 | C6 3C BC 97 49 9E E9 E9 54 AA 30 C4 33 36 9B 8F
+00D0 | BB 47 B4 AD 03 D5 1A 3B 42 41 88 2B 05 52 33 C3
+00E0 | EC 29 50 8B 11 B1 39 D0 F7 2E D6 9C 62 F9 2C B1
+00F0 | B6 D8 06 A3 E5 B7 3D 81 ED 5F F2 F4 88 78 F6 15
+0100 | 26 E4 CD 46 BC 77 45 E9 36 E5 18 FA 91 A6 B4 35
+0110 | 52 A6 1D B4 30 06 F9 EA 97 6E F7 2C B4 1F 45 5A
+0120 | A4 93 CA 27 CF 55 43 EF 56 07 40 2C 29 EC BB DF

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, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 20, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
g_a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
889FD163		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
274CDD3F		 g_a diffie-hellman parameter
server_time 560, 47B43A166 (1721844603 in decimal)1444A166 (1721844756 in decimal) Server time
@@ -658,19 +658,19 @@ answer = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241 - + - + - + @@ -684,47 +684,47 @@ answer = BA0D89B566CD1076621B9E73E9F5D2635F0C1A0126AFA97C5FD77FF1E039D14000ED241

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 = B646261505D593BCB4C1D796
-tmp_aes_key = 9C9BB7C3AA015DBE62FE5577D0C089EF7C0A6EE4350CAC3BEE267C92AF846BBF
-tmp_aes_iv = E8F23793463529F1EBDB9B64830F0D3FDD9F5AD447CBBFF257E7385F9A879B42
+
data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
+padding = 51042950C65DB29CA8AA231A
+tmp_aes_key = 76B7856C62B3B063872C5836F41263DBBEE80BE03CCB81964E47909EC368BA45
+tmp_aes_iv = C8461CF3798BF669D030D8D3910AEBFD94849B2FBC83DE839397845A67C7C12C

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 80 14 01 00 7C 43 A1 66
-0010 | 78 01 00 00 1F 5F 04 F5 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1
-0030 | E0 39 D1 40 00 ED 24 1D FE 50 01 00 C5 33 E5 FB
-0040 | 20 80 24 04 54 91 BC 78 D5 6F DC A1 3C 02 E9 C4
-0050 | 04 63 BC 90 AB 7A 97 D6 2D 44 44 56 86 76 2F CB
-0060 | 33 E2 E2 86 AB 1A 91 86 B0 CD D4 36 89 2E 97 0D
-0070 | CE 56 5F 34 D8 EA AE B7 2E 11 B6 15 E4 ED 0C 68
-0080 | 71 57 7A E4 ED 5A 8A B1 0B E7 BC B3 1C A0 0E 99
-0090 | 02 CF 33 DC 26 D9 57 1B 02 AC 2D 2E 88 27 BE E2
-00A0 | 4C E0 05 13 CC 95 BD 39 B8 B7 05 59 7A 05 CD EB
-00B0 | BE FD 4F BA BA 1E B7 2B 6D C6 28 AC B7 B0 CB CD
-00C0 | 9D DD 51 1E 98 B9 3C 76 71 E7 4B 7F 36 67 A0 4D
-00D0 | AF 15 D4 C6 13 A6 4E 4F 58 70 E1 CF 50 27 D1 99
-00E0 | C4 D9 53 94 A3 A7 E7 AF D3 71 CE 90 45 E0 DA F4
-00F0 | 8C 1C 48 AE C2 48 A5 13 63 C6 40 1C CE 30 EA 0B
-0100 | 2A 5E B4 1F 51 12 FC BC 58 AB 40 36 9B F0 15 3A
-0110 | 88 0D 54 B1 63 41 14 E4 7F CC D1 2C 76 48 6F 96
-0120 | 21 C9 8B 2B 96 3C E0 CA 37 E2 3A 00 17 DC 61 E8
-0130 | 77 8F 54 4A 81 67 C8 DE 3A 10 67 EF C5 3B 06 4D
-0140 | 05 78 F2 D3 D8 67 B5 62 D0 27 FB E2 0E 08 D4 AD
-0150 | 32 32 92 2A 95 E9 C2 BF F8 03 F7 E8 0B 81 49 69
-0160 | 29 7B 1D 38 00 84 DD 21 C3 9C 7B 78 A4 97 CE FA
-0170 | 2E 9F 16 75 95 DB 49 9B 66 61 B0 AC 0E 33 9C B5
-0180 | 7F 9F 7E D6 44 33 A7 80 6F AB 7B 29
+
0000 | 00 00 00 00 00 00 00 00 00 96 0C 00 14 44 A1 66
+0010 | 78 01 00 00 1F 5F 04 F5 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09 33 E8 1F 9C 78 18 56 F0
+0030 | 1D D4 12 93 F2 25 29 B8 FE 50 01 00 05 7E E5 BC
+0040 | C7 95 3E F0 AC F4 66 FC B5 FD 73 C7 11 88 D1 57
+0050 | 28 35 F4 D7 8C 51 52 DA FC 31 87 86 61 C4 EA 1F
+0060 | 28 3C 60 D3 61 8E F2 29 7D 65 90 7D B1 7F F1 CC
+0070 | 4D 75 89 18 7F 63 B6 28 46 29 C3 97 40 61 E6 E9
+0080 | F9 FA D0 50 68 57 BF 91 E7 5E C5 6A FB D0 3E 38
+0090 | 78 18 B9 E1 DF 3B 07 FC 70 A5 3D BC 95 15 DF D9
+00A0 | 34 0B A8 2C A9 C1 A5 3E 8C E0 D3 35 C1 C6 DC 12
+00B0 | 1E 71 98 79 E7 D4 8A DC 64 D5 EC 56 7D 90 34 76
+00C0 | 7B 32 94 20 52 E2 04 AD 96 E9 89 7D C8 44 54 11
+00D0 | 26 AA FD 73 DD 1C C2 A9 5C 5F C6 84 1F AE 86 3C
+00E0 | 3D 34 51 2E 23 D6 8D D3 A9 88 50 33 BB 26 D6 A6
+00F0 | 34 0D 1B C5 79 74 AD 7D 25 D6 5A 9B D1 63 57 20
+0100 | BC 34 8B 57 F2 0E 35 7D 4C AC E2 A8 3C CC B8 22
+0110 | 26 01 84 E7 C7 51 2A D6 38 F3 DF F7 ED 63 68 8B
+0120 | 24 E7 E9 D5 34 04 11 22 CD 80 9E BF 72 95 BE FF
+0130 | 70 D8 47 3A B5 10 7C 04 EC FA CA CE B9 3A 21 EB
+0140 | E0 23 35 1D C8 6A 85 2F 65 B3 CF 46 95 E0 F5 FF
+0150 | 3C BB 43 17 CA 48 AA 75 FD A8 6A 98 7D FE 60 17
+0160 | 17 5C 2B E8 D9 B6 4B DF 57 5D CD F1 37 16 D5 F8
+0170 | F7 C7 A1 89 5D DB 74 3D F3 BC 24 A2 47 07 D4 47
+0180 | 67 B0 61 C1 E8 CF 64 6C 65 F6 C1 F2

Payload (de)serialization:

set_client_DH_params#f5045f1f nonce:int128 server_nonce:int128 encrypted_data:string = Set_client_DH_params_answer;
nonce 4, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 20, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
g_b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
4DDA97CB		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
29ECBBDF		 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 90 46 C9 7C 43 A1 66
-0010 | 3C 00 00 00 34 F7 CB 3B 66 CD 10 76 62 1B 9E 73
-0020 | E9 F5 D2 63 5F 0C 1A 01 26 AF A9 7C 5F D7 7F F1
-0030 | E0 39 D1 40 00 ED 24 1D 68 01 01 49 64 44 91 E7
-0040 | 76 C7 E3 8A 54 E3 33 F9
+
0000 | 00 00 00 00 00 00 00 00 01 8C 51 EE 15 44 A1 66
+0010 | 48 00 00 00 34 F7 CB 3B 6A 9B 4E AF AE 17 1B B3
+0020 | A7 3D 9E A9 7C 57 90 09 33 E8 1F 9C 78 18 56 F0
+0030 | 1D D4 12 93 F2 25 29 B8 4A E4 66 01 24 F6 C9 BE
+0040 | 97 86 17 9B 33 45 56 71

Payload (de)serialization:

dh_gen_ok#3bcbf734 nonce:int128 server_nonce:int128 new_nonce_hash1:int128 = Set_client_DH_params_answer;
message_id 8, 8801401007C43A16600960C001444A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 40, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
encrypted_data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
6FAB7B29		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
65F6C1F2		 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, 8019046C97C43A166018C51EE1544A166 Message ID generated as specified here » (unixtime() << 32) + (N*4)
message_length 16, 43C000000 (60 in decimal)48000000 (72 in decimal) Message body length
nonce 24, 1666CD1076621B9E73E9F5D2635F0C1A016A9B4EAFAE171BB3A73D9EA97C579009 Value generated by client in Step 1
server_nonce 40, 1626AFA97C5FD77FF1E039D14000ED241D33E81F9C781856F01DD41293F22529B8 Value received from server in Step 2
new_nonce_hash1 56, 1668010149644491E776C7E38A54E333F94AE4660124F6C9BE9786179B33455671 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.