祖冲之算法测试数据

增加祖冲之算法测试数据
2026-05-11 10:56:17 +08:00 · 2017-01-08 19:08:50 +08:00
parent 85f0dc9f99
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+##  Algorithm and computational example 1
+### Test Vector 1 (All 0)
+Input:
+
+Secret key k: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
+
+Initiate vector iv: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
+
+Output:
+
+z<sub>1</sub>:27bedc74
+
+z<sub>2</sub>:018082da
+
+Initiation:
+
+Linear feedback shift register(LFSR)state:
+
+
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       |0044d700 |0026bc00 |00626b00 |00135e00 |00578900 |0035e200 |00713500 |0009af00 |
+|8       |004d7800 |002f1300 |006bc400 |001af100 |005e2600 |003c4d00 |00789a00 |0047ac00 |
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+|0       |008f9a00 | f100005e| af00006b| 6b000089| 67822141| 62a3a55f| 008f9a00| 4563cb1b| 
+|1       |8ac7ac00 | 260000d7| 780000e2| 5e00004d| 474a2e7e| 119e94bb| 4fc932a0| 28652aOf| 
+|2       |50cacb1b | 4d000035| 13000013| 890000c4| c29687a5| e9b6eb51| 291f7a20| 7464f744| 
+|3       |e8c92aOf | 9a0000bc| c400009a| e2000026| 29c272f3| 8cac7f5d| 141698fb| 3f5644ba| 
+|4       |7eacf744 | ac000078| f1o00o5c| 350000af| 2c85a655| 24259cb0| e41b0514| 006a144c| 
+|5       |00d444ba | cb1b00f1| 260000d7| af00006b| cbfbc5c0| 44c10b3a| 50777f9f| 07038b9b| 
+|6       |0e07144c | 2aOf008f| 4d000035| 780000e2| e083c8d3| 7abf7679| 0abddcc6| 69b90c2b| 
+|7       |d3728b9b | f7448ac7| 9a0000bc| 13000013| 147e14f4| b669e72d| aebOb9c1| 62a913ca| 
+|8       |c5520e2b | 44ba50ca| ac000078| c400009a| 982834ao| f095d694| 8796020c| 7b591cc0| 
+|9       |f6b213ea | 144ce8c9| cb1b00f1| f100005e| e14727d6| d0225869| 5f2ffdde| 70e21147|
+
+LFSR state after initiation:
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       | 7ce15b8b| 747caOc4| 6259ddOb| 47a94c2b| 3a89c82e| 32b433fc| 231ea13f| 31711c42| 
+|8       | 4ccce955| 3fb6071e| 161d3512| 7114b136| 5154d452| 78c69a74| 4f26ba6b| 3e1b8d6a|
+
+Finite state machine(FSM)internal state:
+
+R<sub>1</sub>=14cfd44c 
+
+R<sub>2</sub>=8c6de800
+
+Key stream:
+
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:| 
+|0       | 7c37ba16| b1367f6c| 1e426568| ddObf9c2| 3512bf50| a0920453| 286dafe5| 7f08e141| 
+|1       | fe118d6a| d4522c3a| e955463d| 4c2be8f9| c7ee7f13| 0cOfa817| 27bede74| 3d383d04| 
+|2       | 7a70e141| 9a74e229| 071e62e2| c82ec4b3| dde63da7| b9dd6a41| 018082da| 13d6d780|
+
+### Test Vector 2 (All 1)
+Input:
+
+Secret key k: ff ff ff ff ff ff ff ff ff ff ff ff ff ff ff ff
+
+Initiate vector iv: ff ff ff ff ff ff ff ff ff ff ff ff ff ff ff ff
+
+Output:
+
+z<sub>1</sub>:0657cfa0
+
+z<sub>2</sub>:7096398b
+
+Initiation:
+
+Linear feedback shift register(LFSR)state:
+
+
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       |7fc4d7ff |7fa6bcff |7fe26bff |7f935cff |7fd789ff |7fb5e2ff |7ff135ff |7f89afff |
+|8       |7fcd78ff |7faf13ff |7febc4ff |7f9af1ff |7fde26ff |7fbc4dff |7ff89aff |7fc7acff |
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+|0       |ff8f9aff | f100005e| af00006b| 6b000089| b51c2110| 30a3629a| ff8f9aff| 76e49a1a| 
+|1       |edc9acff | 26ffffd7| 78ffffe2| 5effff4d| a75b6f4b| 1a079628| 8978f089| 5e2d8983| 
+|2       |bc5b9a1a | 4dffff35| 13ffff13| 89ffffc4| 9810b315| 99296735| 35088b79| 5b9484b8| 
+|3       |b7298983 | 9affffbc| c4ffff9a| e2ffff26| 4c5bd8eb| 2d577790| c862a1cb| 2db5c755| 
+|4       |5b6b84b8 | acffff78| f1ffff5e| 35ffffaf| a13dcb66| 21d0939f| 4487d3e3| 60579232| 
+|5       |cOafc755 | 9a1afff1| 26ffffd7| afffff6b| cc5ce260| 0c50a8e2| 83629fd2| 29d4e960| 
+|6       |53a99232 | 8983ff8f| 4dffff35| 78ffffe2| dada0730| b516b128| ac461934| 5e02d9e5| 
+|7       |bc05e960 | 84b8edc9| 9affffbc| 13ffff13| 2bbe53a4| 12a8a16e| 1bf69f78| 7904dddc| 
+|8       |f209d9e5 | c755bc5b| acffff78| c4ffff9a| 4a90d661| d9c744b4| ec602baf| 0c3c9016| 
+|9       |1879dddc | 9232b729| 9a1afff1| f1ffff5e| 76bc13d7| a49ea404| 2cb05071| 0b9d257b|
+
+LFSR state after initiation:
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       |09a339ad |1291d190 |25554227 |36c09187 |0697773b |443cf9cd |6a4cd899 |49c34bd0 |
+|8       |56130b14 |20e8f24c |7a5b1dcc |0c3cc2d1 |1cc082c8 |7f5904a2 |55b61ce8 |1fe46106 |
+Finite state machine(FSM)internal state:
+
+R<sub>1</sub>=b8017bd5 
+
+R<sub>2</sub>=9ce2de5c
+
+Key stream:
+
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:| 
+|0       |3fc81cc8 |c2d141d1 |4bd08879 |42271346 |aa131b11 |09d7706c |668b56df |13f56dbf |
+|1       |27ea6106 |82c8f4b6 |0b14d499 |91872523 |251e7804 |caac5d66 |0657cfa0 |0c0fe353 |
+|2       |181f6dbf |04a21879 |f24c93c6 |773b4aaa |d94e9228 |91d88fba |7096398b |10f1eecf |
+
+
+### Test Vector 3 (Random)
+Input:
+
+Secret key k: :3d 4c 4b e9 6a 82 fd ae b5 8f 64 1d b1 7b 45 5b
+
+Initiate vector iv: 84 31 9a a8 de 69 15 ca 1f 6b da 6b fb d8 c7 66
+
+Output:
+
+z<sub>1</sub>:14f1c272
+
+z<sub>2</sub>:3279c419
+
+Initiation:
+
+Linear feedback shift register(LFSR)state:
+
+
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       |1ec4d784 |2626bc31 |25e26b9a |74935ea8 |355789de |4135e269 |7ef13515 |5709afca |
+|8       |5acd781f |47af136b |326bc4da |0e9af16b |58de26fb |3dbc4dd8 |22f89ac7 |2dc7ac66 |
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+|0       |5b8f9ac7 | f16b8f5e| afca826b| 6b9a3d89| 9c62829f| 5df00831| 5b8f9ac7| 3c7b93c0| 
+|1       |78f7ac66 | 26fb64d7| 781ffde2| 5ea84c4d| 3d533f3a| 80ff1faf| 4285372a| 41901ee9| 
+|2       |832093c0 | 4dd81d35| 136bae13| 89de4bc4| 2ca57e9d| d1db72f9| 3f72cca9| 411efa99| 
+|3       |823d1ee9 | 9ac7b1bc| c4dab59a| e269c926| 0e8dc40f| 60921a4f| 8073d36d| 24b3f49f| 
+|4       |4967fa99 | ac667b78| f16b8f5e| 35156aaf| 16c81467| da8e7d8a| a87c58e5| 74265785| 
+|5       |e84cf49f | 93c045f1| 26fb64d7| afca826b| 50c9eaa4| 3c3b2dfd| d9135c82| 481c5b9d| 
+|6       |90385785 | 1ce95b8f| 4dd81d35| 781ffde2| 59857b80| be0fbdc1| fd2ceb1e| 4b7f87ed| 
+|7       |96ff5b9d | fa9978f7| 9ac7b1bc| 136bae13| 9528f8ea| bcc7f7eb| 8d89dddc| 0e633ce7| 
+|8       |1cc687ed | f49f832o| ac667b78| c4dab59a| c59d2932| e1098a64| 46b676f2| 643ac5a6| 
+|9       |c8753ce7 | 5785823d| 93c045f1| f16b8f5e| 755cbac8| 3f9c6c86| eef1ao39| 625ac5d7|
+
+LFSR state after initiation:
+|i       | s<sub>0+i</sub>| s<sub>1+i</sub>| s<sub>2+i</sub>| s<sub>3+i</sub>| s<sub>4+i</sub>| s<sub>5+i</sub>| s<sub>6+i</sub>| s<sub>7+i</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:|  
+|0       |10da5941 |5b6acbf6 |17060ce1 |35368174 |5cf4385a |479943df |2753bab2 |73775d6a | 
+|8       |43930a37 |77b4af31 |15b2e89f |24ff6c20 |740c40b9 |026a5503 |194b2a57 |7a9a1cff |
+Finite state machine(FSM)internal state:
+
+R<sub>1</sub>=860a7dfa 
+
+R<sub>2</sub>=bfOeOffc
+
+Key stream:
+
+|t       |X<sub>0</sub>|X<sub>1</sub>|X<sub>2</sub>|X<sub>3</sub>|R<sub>1</sub>|R<sub>2</sub>|W|S<sub>15</sub>|
+| ------ | -------:| -------:| -------:| -------:| -------:| -------:| -------:| -------:| 
+|0       |f5342a57 |6e20cf69 |5d6a8f32 |0ce121b4 |129d8b39 |2d7cdcc1 |3ead461d |3d4aa9e7 |
+|1       |7a951cff |40b92b65 |0a374ea7 |8174b6d5 |ab7cf688 |c1598aa6 |14f1c272 |71db1828 |
+|2       |e3b6a9e7 |550349fe |af31e6ee |385a2eOc |3cec1a4a |9053ccOc |3279c419 |258937da |
+
+##  Algorithm and computational example 2(Data Privacy)
+
+The following is an example of the algorithm. All the data is using 16 hexadecimal representation. 
+
+The 1st set of encryption examples:
+
+CK = 17 3d 14 ba 50 03 73 1d 7a 60 04 94 70 f0 0a 29 
+
+COUNT = 66035492
+
+BEARER = f
+
+DIRECTION = 0
+
+LENGTH = c1
+
+IBS:
+
+6cf65340 735552ab 0c9752fa 6f9025fe Obd675d9 005875b2 00000000 
+
+OBS:
+
+a6c85fc6 6afb8533 aafc2518 dfe78494 0ee1e4b0 30238cc8 00000000
+
+The 2nd set of encryption examples:
+
+CK = e5 bd 3c a0 eb 55 ad e8 66 c6 ac 58 bd 54 30 2a 
+
+COUNT = 56823
+
+BEARER = 18
+
+DIRECTION = 1
+
+LENGTH = 320
+
+IBS:
+
+14a8ef69 3d678507 bbe7270a 7f67ff50 06c3525b 9807e467 c4e56000 ba338f5d 42955903 67518222
+46c80d3b 38f07f4b e2d8ff58 05f51322 29bde93b bbdcaf38 2bf1ee97 2fbf9977 bada8945 847a2a6c
+9ad34a66 7554e04d 1f7fa2c3 3241bd8f 01ba220d
+
+OBD:
+131d43eO dea1be5c 5a1bfd97 1d852cbf 712d7b4f 57961£ea 3208afa8 bca433f4 56ad09c7 417e58bc
+69cf8866 d1353f74 865e8078 1d202dfb 3ecff7fc bc3b190f e82a204e d0e350fc 0f6f2613 b2f2bca6
+df5a473a 57a4a00d 985ebad8 80d6f238 64a07b01
+
+The 3rd set of encryption examples:
+
+CK =e1 3f ed 21 b4 6e 4e 7e c3 12 53 b2 bb 17 b3 e0 
+
+COUNT = 2738cdaa 
+
+BEARER = 1a 
+
+DIRECTION = 0
+
+LENCTH =FB3
+
+IBS:
+
+8d74e20d 54894e06 d3cb13cb 3933065e 8674be62 adb1c72b 3a646965 ab63cb7b 7854dfdc 27e84929 
+f49c64b8 72a490b1 3f957b64 827e71f4 1fbd4269 a42c97f8 24537027 f86e9f4a d82d1df4 51690fdd 
+98b6d03f 3aOebe3a 312d6b84 0ba5a182 0b2a2c97 09c090d2 45ed267c f845ae41 fa975d33 33ac3009 
+fd40eba9 eb5b8857 14b768b6 97138baf 21380eca 49f644d4 8689e421 5760b906 739fOd2b 3f091133 
+ca15d981 cbe401ba f72d05ac e05cccb2 d297f4ef 6a5f58d9 1246cfa7 7215b892 ab441d52 78452795 
+ccb7f5d7 9057a1c4 f77f80d4 6db2033c b79bedf8 e60551ce 10c667f6 2a97abaf abbcd677 2018df96 
+a282ea73 7ce2cb33 1211f60d 5354ce78 f9918d9c 206ca042 c9b62387 dd709604 a50af16d 8d35a890 
+6be484cf 2e74a928 99403643 53249b27 b4c9ae29 eddfc7da 6418791a 4e7baaO6 60fa6451 1f2d685c 
+c3a5ff70 eOd2b742 92e3b8ao cd6b04b1 c790b8ea d2703708 540dea2f c09c3da7 70f65449 c84d817a 
+4f551055 e19ab850 18a0028b 71a144d9 6791e9a3 57793350 4eee0060 340c69d2 74e1bf9d 805dcbcc 
+1a6faa97 6800b6ff 2b671dc4 63652fa8 a33ee509 74c1c21b e01eabb2 16743026 9d72ee51 1c9dde30 
+797c9a25 d86ce74f 5b961be5 fdfb68o7 814039e7 137636bd 1d7fa9e0 9efd2007 505906a5 ac45dfde 
+ed7757bb ee745749 c2963335 0beeOea6 f409df45 80160000
+
+OBS:
+
+94eaa4aa 30a57137 ddf09b97 b25618a2 0a13e2f1 0fa5bf81 61a879cc 2ae797a6 b4cf2d9d f31debb9
+905ccfec 97de605d 21c61ab8 531b7f3c 9da5f039 31f8a064 2de48211 f5f52ffe a10f392a 04766998
+5da454a2 8fO80961 a6c2b62d aa17f33c d60a4971 f48d2d90 9394a55f 48117ace 43d708e6 b77d3dc4
+6d8bc017 d4d1abb7 7b7428c0 42b06f2f 99d8d07c 9879d996 00127a31 985f1099 bbd7d6c1 519ede8f
+5eeb4a61 0b349ac0 1ea23506 91756bd1 05c974a5 3eddb35d 1d4100b0 12e522ab 41f4c5f2 fde76b59
+cb8b96d8 85cfe408 0d1328a0 d636ccOe dc05800b 76acca8f ef672o84 d1f52a8b bd8e0993 320992c7
+ffbae17c 408441e0 ee883fc8 a8b05e22 f5ff7f8d 1b48c74c 468c467a 028f09fd 7ce91109 a570a2d5
+c4d5f4fa 18c5dd3e 4562afe2 4ef77190 1f59af64 5898acef 088abae0 7e92d52e b2de5504 5bb1b7c4
+164ef2d7 a6cac15e eb926d7e a2f08b66 elf759f3 aee44614 725aa3c7 482b3084 4c143ff8 5b53f1e5
+83c50125 7dddd096 b81268da a303f172 34c23335 41f0bb8e 190648c5 807c866d 71932286 09adb948
+686f7de2 94a802cc 38f7fe52 08f5ea31 96d0167b 9bdd02f0 d2a5221c a508f893 af5c4b4b b9f4f520
+fd84289b 3dbe7e61 497a7e2a 584037ea 637b6981 127174af 57b471df 4b2768fd 79c1540f b3edf2ea
+22cb69be c0cf8d93 3d9c6fdd 645e8505 91cca3d6 2c0cc000
+
+
+
+##  Algorithm and computational example 3 (Data Integrity)
+
+The following is an example of the algorithm. All the data is using 16 hexadecimal representation. 
+
+The 1st set of encryption examples:
+
+IK = 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
+
+COUNT = 0
+
+BEARER = 0
+
+DIRECTION = 0
+
+LENGTH = 1
+
+M:00000000
+
+MAC:c8a9595e
+
+The 2nd set of encryption examples:
+
+IK = c9 e6 ce c4 60 7c 72 db 00 0a ef a8 83 85 ab 0a
+
+COUNT = a94059da
+
+BEARER = a
+
+DIRECTION = a
+
+LENGTH = 241
+
+M:
+
+983b41d4 7d780c9e 1ad11d7e b70391b1 de0b35da 2dc62f83 e7b78d63 06ca0ea0 7e941b7b
+e91348f9 fcb170e2 217fecd9 7f9f68ad b16e5d7d 21e569d2 80ed775c ebde3f40 93c53881
+00000000
+
+MAC:fae8ff0b
+
+The 3rd set of encryption examples:
+
+IK = 6b 8b 08 ee 79 eO b5 98 2d 6d 12 8e a9 f2 20 cb
+
+COUNT = 561eb2dd
+
+BEARER = 1c
+
+DIRECTION = 0
+
+LENGTH = 1626
+
+M:
+
+5bad7247 10ba1c56 d5a315f8 d40f6e09 3780be8e 8de07b69 92432018 e08ed96a 5734af8b
+ad8a575d 3a1f162f 85045cc7 70925571 d9f5b94e 454a77c1 6e72936b fO16ae15 7499fO54 
+3b5d52ca a6dbeab6 97d2bb73 e41b8075 dce79b4b 86044f66 1d4485a5 43dd7860 6eO419e8 
+059859d3 cb2b67ce 0977603f 81ff839e 33185954 4cfbc8d0 0fef1a4c 8510fb54 7d6b06c6 
+11ef44f1 boo107cf a45a06aa b360152b 28dc1ebe 6f7feO9b 0516f9a5 b02a1bd8 4bb0181e 
+2e89e19b d8125930 d178682f 3862dc51 b636f04e 720c47c3 ce51ad70 d94b9b22 55fbae90 
+6549f499 f8c6d399 47ed5e5d f8e2def1 13253e7b 08dOa76b 6bfc68c8 12f375c7 9b8fe5fd 
+85976aa6 d46b4a23 39d8ae51 47f680fb e70f978b 38effd7b 2f7866a2 2554e193 a94e98a6 
+8b74bd25 bb2b3f5f bOa5fd59 887f9ab6 8159b717 8d5b7b67 7cb546bf 41eadca2 16fc1085 
+0128f8bd ef5c8d89 f96afa4f a8b54885 565ed838 a950fee5 f1c3bOa4 f6fb71e5 4dfd169e 
+82cecc72 66c850e6 7c5efOba 960f5214 060e71eb 172a75fc 1486835c bea65344 65bO55c9
+6a72e410 52241823 25d83041 4b40214d aa8091d2 eOfb01oa e15c6de9 o850973b df1e423b
+e148a237 b87aOc9f 34d4b476 05b803d7 43a86a90 399a4af3 96d3a120 0a62f3d9 507962e8
+e5bee6d3 da2bb3f7 237664ac 7a292823 900bc635 03b29e80 d63f6067 bf8e1716 ac25beba
+350deb62 a99feO31 85eb4f69 937ecd38 7941fda5 44ba67db 09117749 38bO1827 bcc69c92
+b3f772a9 d2859ef0 03398b1f 6bbad7b5 74f7989a 1d10b2df 798eOdbf 30d65874 64d24878
+cd00cOea ee8a1a0c c753a279 79e11b41 db1de3d5 038afaf4 9f5c682c 3748d8a3 a9ec54e6
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