ひとつ前へ　WWWルートへ　記述責任者：mad@mail.wind.ne.jp

線型Ｍ系列符号発生器の結線表

数理設計研究所　Hal.T 2002/11/17-2008/02/29

無線通信、暗号、信号処理の研究のために
線形M系列の実験用基礎データを作ったものです		 Index

参考

  1. 数理設計内　乱数　も関係しています
  2. http://www.h4.dion.ne.jp/~ja5fp/creamsoft.html　JA5FP
  3. M-Seq.htm　The art of analog circuits 2008/02/29

特性

2006/04/08

計算プログラム

2002/11/17 - 2004/01/27

シフトレジスタを使う最長符号発生器のビットMASK
C:\src\RND>mms
M series generator.
Mathematical Assist Design Hal.T 2002/11/23 2004/01/27
Usage1 : mms [bit] [taps] bit=3-30 taps=2-28 TAP search
Usage2 : mms -a HEX [START] HEX=MASK ASCII generator(default START=-1)
Usage3 : mms -b HEX HEX=MASK BinaryBit generator (MSB->LSB)

使い方 (シフトレジスタの初期既定値は１でスタートさせている)
  1. mms 17　　　17ビットM系列の全タップを　mms17.txt　に書き出す
    　　　　　　mms 23 4　　23ビットM系列において4ビットタップだけを　mms23_4.txt　に書き出す
    　　★奇数のタップ数はありえないので必ず偶数にすること
  2. mms -a 800B 8000
    • 800BをHEXとして見ると16ビット、16ビットM系列においてMASKが800Bのものをビット系列でASCII出力する（画面には改行無しで0/1　ファイルには改行つき）
    • ２つ目の引数を（ビット長以内で指示の事）指示すると、それをシフトレジスタの開始データとする
      2004/01/27 追加修正
  3. mms -b 800B
    • 上と同じだが　バイナリ形式ファイルを吐き出す

タップ数が偶数である理由

はっきりとした証明ができないので、以下の言が間違いなら教えてください。 2003/01/04
  1. シフトレジスタ内の全ビットが１で始まるとき、タップのEXOR出力は
  2. シフトレジスタ内の全ビットが０で始まるとき、タップのEXOR出力は
  3. 結論：
    1. シフトレジスタの全ビットが０の状態ではNG
    2. タップ数は偶数である

回路構成

EXOR MASKが１のものについてEXOR→ ↓
MASK MSB・・・・・・・・LSB ↓
シフトレジスタ MSB・・・・・・・・LSB ←
タップのMASKはHEXで記述してある。シフトレジスタのシフト方向はLSB→MSB側へ動かす。
8ビットの例：全部で１６種ある
8bit:
8E, 95, 96, A6, AF, B1, B2, B4,
B8, C3, C6, D4, E1, E7, F3, FA,
８Eでは【1000 1110】なのでLSBを１番とすれば　2,3,4,8　のXORを1番の入力にする

タップ　ファイル

bit 存在数 all N
3 2 mms3.txt mms3_2.txt
4 2 mms4.txt mms4_2.txt
5 6 mms5.txt mms5_2.txt　mms5_4.txt
6 6 mms6.txt mms6_2.txt　mms6_4.txt
7 18 mms7.txt mms7_2.txt　mms7_4.txt　
8 16 mms8.txt mms8_2.txt　mms8_4.txt　
9 48 mms9.txt mms9_2.txt　mms9_4.txt　
10 60 mms10.txt mms10_2.txt　mms10_4.txt　mms10_6.txt
11 176 mms11.txt mms11_2.txt　mms11_4.txt　mms11_6.txt
12 144 mms12.txt mms12_2.txt　mms12_4.txt　mms12_6.txt
13 630 mms13.txt mms13_2.txt　mms13_4.txt　mms13_6.txt
14 756 mms14.txt mms14_2.txt　mms14_4.txt　mms14_6.txt
15 1800 mms15.txt mms15_2.txt　mms15_4.txt　mms15_6.txt
16 2048 mms16.txt mms16_2.txt　mms16_4.txt　mms16_6.txt
17 7710 mms17.txt mms17_2.txt　mms17_4.txt　mms17_6.txt
18 7776 mms18.txt mms18_2.txt　mms18_4.txt　mms18_6.txt
19 27594 mms19.txt mms19_2.txt　mms19_4.txt　mms19_6.txt
20 24000 mms20.txt mms20_2.txt　mms20_4.txt　mms20_6.txt
21 84672 mms21.txt mms21_2.txt　mms21_4.txt　mms21_6.txt
22 120032 mms22.txt mms22_2.txt　mms22_4.txt　mms22_6.txt
23 356960 mms23.txt mms23_2.txt　mms23_4.txt　mms23_6.txt　mms23_22.txt　
24 276480 mms24.txt mms24_2.txt　mms24_4.txt　mms24_6.txt　mms24_22.txt　
25 1296000 mms25.txt mms25_2.txt　mms25_4.txt　mms25_6.txt　mms25_24.txt　
26 1719900 mms26.txt mms26_2.txt　mms26_4.txt　mms26_24.txt
27 4202496 mms27.txt mms27_2.txt　mms27_4.txt　mms27_24.txt　mms27_26.txt
28 　 mms28_2.txt　mms28_4.txt　mms28_26.txt　
29 　 mms29_2.txt　mms29_4.txt　mms29_26.txt　mms29_28.txt
30 　 mms30_2.txt　mms30_4.txt　mms30_26.txt　mms30_28.txt

２タップ結線表　3-30bit

2002/11/26

２タップ

２タップ(HEX)
3 5, 6,
4 9, C,
5 12, 14,
6 21, 30,
7 41, 44, 48, 60,
8 -
9 108, 110,
10 204, 240,
11 402, 500,
12 -
13 -
14 -
15 4001, 4008, 4040, 4080, 4400, 6000,
16 -
17 10004, 10010, 10020, 10400, 10800, 12000,
18 20040, 20400,
19 -
20 80004, 90000,
21 100002, 140000,
22 200001, 300000,
23 400010, 400100, 402000, 420000,
24 -
25 1000004, 1000040, 1020000, 1200000,
26 -
27 -
28 8000004, 8000100, 8001000, 8004000, 8040000, 9000000,
29 10000002, 14000000,
30 -

４タップ結線表　3-30bit

2002/12/04

４タップ

bit ４タップ(HEX)
5 17, 1B, 1D, 1E,
6 2D, 33, 36, 39,
7 47, 4E, 53, 55, 5C, 65, 69, 6A,
8 8E, 95, 96, A6, B1, B2, B4, B8,
C3, C6, D4, E1,
9 10D, 116, 119, 12C, 134, 143, 14A, 151,
152, 168, 189, 18A, 191, 198, 1B0, 1C2,
10 20D, 213, 216, 232, 245, 262, 286, 28C,
291, 298, 2A1, 2C2, 2D0, 309, 30A, 312,
321, 344, 360, 390,
11 40B, 415, 416, 423, 431, 432, 438, 446,
44A, 454, 458, 468, 470, 486, 489, 492,
494, 4A2, 4A4, 4A8, 4C1, 503, 509, 50A,
514, 524, 530, 542, 548, 581, 584, 588,
5A0, 605, 606, 60C, 630, 642, 644, 681,
6A0, 702, 710, 740,
12 829, 834, 84C, 868, 883, 891, 8B0, 8C2,
906, 960, 990, A03, A18, B04, C48, CA0,
E02, E08,
13 100D, 1013, 101A, 1029, 1032, 1045, 1046, 1052,
1061, 1064, 1070, 1086, 108A, 1094, 10A1, 10C4,
10E0, 110C, 1112, 1121, 1144, 1182, 1205, 1209,
1212, 1214, 1228, 1230, 1241, 1260, 1284, 1290,
1301, 1302, 1308, 1403, 140C, 1411, 1418, 1422,
1442, 1484, 1488, 14A0, 14C0, 1501, 1510, 1580,
1610, 1620, 1803, 180A, 180C, 1824, 1848, 1850,
1860, 1882, 1904, 1940, 1A04, 1A20, 1B00, 1C01,
1C02, 1C80,
14 2015, 201C, 2029, 2054, 2086, 2089, 20A1, 2106,
2130, 2142, 2184, 2190, 2205, 2221, 2409, 240C,
2421, 2430, 2441, 2540, 2604, 2700, 2803, 2812,
2850, 2902, 2A01, 2C01, 2C10, 2C20, 3006, 300A,
3044, 3084, 3088, 30A0, 3204, 3220, 3280, 3408,
3500, 3802,
15 400B, 4016, 401A, 4043, 4049, 4052, 4061, 408A,
4092, 40B0, 40C2, 40D0, 4109, 4122, 4144, 420C,
4211, 4218, 4241, 4250, 4290, 42C0, 4304, 4308,
4340, 4424, 4430, 4441, 4482, 4484, 4610, 4805,
480C, 4812, 4821, 4830, 4844, 4848, 4882, 4884,
48A0, 4901, 4908, 4C04, 4C10, 5005, 5011, 5012,
5021, 5044, 5048, 5081, 50C0, 5120, 5201, 5202,
5204, 5240, 5280, 5440, 5600, 5A00, 6003, 6009,
6012, 6024, 6042, 6088, 6090, 6102, 6104, 6180,
6202, 6210, 6401, 6420, 6480, 6802, 6804, 7001,
7080, 7400,
16 8016, 801C, 8029, 80D0, 810A, 810C, 8112, 8142,
8148, 8150, 8214, 8241, 8244, 8248, 8260, 8320,
8406, 8430, 8540, 8580, 8610, 8805, 8821, 8841,
8842, 8920, 8940, 8A04, 9028, 9082, 9120, 9420,
9840, 9C00, A084, A101, A108, A140, A440, A801,
A840, B010, B400, C009, C00A, C042, C108, C120,
C208, C801, CA00, D008,
17 10007, 10016, 10019, 1002A, 10034, 10046, 1004C, 10051,
10062, 10085, 10086, 1008C, 10092, 100B0, 100C1, 100E0,
10106, 10111, 10114, 10118, 10122, 10141, 10148, 10184,
10188, 10203, 1020A, 1020C, 10221, 10230, 10242, 10260,
10302, 10310, 10405, 10406, 10428, 10448, 10482, 104A0,
10501, 10520, 10640, 10700, 10806, 10809, 1080A, 10814,
10818, 10822, 10824, 10841, 10881, 10882, 10888, 108C0,
10902, 10C08, 10C40, 10D00, 11005, 11011, 11018, 11030,
11044, 11081, 11084, 11088, 11108, 11110, 11180, 11204,
11220, 11280, 11420, 11801, 11802, 11808, 11810, 11880,
12014, 12044, 12048, 12101, 12108, 12180, 12204, 12208,
12410, 12801, 12804, 12810, 12880, 12C00, 13040, 13100,
13200, 14009, 14012, 14018, 14022, 14042, 14090, 140C0,
14110, 14120, 14202, 14240, 14402, 14410, 14480, 14600,
14802, 14900, 15010, 15040, 15400, 16001, 16010, 16020,
16080, 16100, 16200, 16800, 18005, 18006, 18011, 18014,
18018, 18021, 18084, 180A0, 18108, 18110, 18210, 18280,
18300, 18401, 18440, 18801, 18808, 18880, 18A00, 19002,
19010, 19800, 1A001, 1A008, 1A020, 1A100, 1C040, 1E000,
18 20013, 20026, 20083, 200C8, 20105, 20109, 20130, 2020C,
20218, 20244, 20250, 20290, 20304, 20442, 20482, 20812,
20814, 20844, 20910, 20A01, 21003, 21018, 21028, 21050,
21104, 21120, 21202, 21280, 21410, 21480, 21900, 22011,
22014, 22042, 22104, 22600, 22810, 23002, 23010, 23080,
24012, 24102, 24108, 24110, 24180, 24402, 24420, 24480,
25008, 25020, 26080, 28018, 28044, 28081, 28090, 28104,
28240, 28408, 28440, 29004, 29020, 2C800, 30011, 300A0,
30202, 31001, 31008, 32100, 34100, 38010, 38200, 39000,
19 40013, 40023, 40029, 4002C, 40031, 40049, 40070, 400A1,
400B0, 400C2, 400D0, 40105, 40109, 4010C, 40112, 40118,
40128, 40141, 40142, 40150, 40190, 40228, 40244, 40248,
402A0, 40304, 40308, 40320, 4040A, 40421, 40422, 40428,
404A0, 40508, 40A04, 40A08, 40A10, 40C01, 41006, 4100C,
41014, 41082, 41101, 41102, 41104, 41108, 41201, 41300,
41404, 41480, 41500, 41804, 41810, 42003, 42005, 42014,
42022, 42044, 42050, 42060, 42140, 42204, 42404, 42600,
42801, 42810, 42A00, 42C00, 43002, 43400, 43800, 44018,
44042, 44104, 44140, 44201, 44220, 44280, 44300, 44900,
45004, 45080, 45100, 45200, 46002, 46008, 46200, 48009,
48012, 48021, 48024, 48028, 48041, 48060, 48090, 480A0,
48102, 48110, 48140, 48208, 48220, 48300, 48801, 48802,
48810, 48900, 49004, 4A010, 4A020, 4C020, 4C200, 4D000,
50018, 50030, 50044, 50101, 50204, 50220, 50401, 50420,
50808, 50A00, 50C00, 51010, 51080, 52001, 52004, 52200,
54080, 58020, 60011, 60012, 60021, 60044, 60050, 60082,
600C0, 60108, 60120, 60202, 60220, 60804, 60A00, 61001,
61004, 61080, 61400, 62001, 63000, 64004, 64200, 64800,
65000, 68010, 68200, 70010, 71000, 72000,
20 80029, 80032, 80034, 80111, 80114, 80118, 80211, 80242,
80260, 80284, 80302, 8040C, 80414, 80421, 80448, 80504,
80608, 80824, 80830, 80881, 80890, 80902, 80980, 80C01,
80C04, 80C08, 80C40, 80C80, 81042, 81088, 810C0, 81101,
81110, 81180, 81210, 81404, 81810, 81840, 83001, 83200,
84018, 84048, 840C0, 84102, 84240, 84440, 84880, 86080,
88011, 88021, 88044, 88180, 88300, 88404, 88801, 88840,
89010, 89100, 8A004, 8C010, 8C400, 90024, 90028, 90108,
90140, 90180, 90402, 90500, 90A00, 91008, 92004, 92080,
94100, 94400, 96000, 98001, 98100, A0009, A0104, A0401,
A0410, A0480, A0600, A1040, A1200, A6000, C000C, C0060,
C0088, C0102, C0180, C0440, C0880, C2008, C2100, C4008,
C4200, C4400, C8002, CA000,
21 100013, 100032, 100049, 100083, 1000A4, 1000C2, 10010C, 100112,
100184, 10020A, 10020C, 100211, 100224, 100248, 100308, 100406,
100409, 10040A, 100430, 100441, 100448, 1004C0, 100610, 100822,
100860, 100884, 100A01, 100A04, 100C10, 100C80, 101012, 101041,
101044, 101050, 101202, 101204, 101300, 101820, 102003, 102009,
102014, 102042, 102081, 1020A0, 102110, 102404, 102408, 103010,
103200, 104005, 104014, 104028, 104048, 104082, 104102, 104180,
104204, 104220, 104420, 104802, 105040, 106002, 106100, 108003,
108012, 108048, 1080C0, 108208, 108300, 108402, 108600, 108840,
109002, 10A001, 10A002, 10A008, 10A080, 10C001, 10C004, 10C200,
110003, 11000A, 110022, 110048, 110050, 110084, 110202, 110240,
110410, 110C00, 112008, 112010, 112020, 112200, 112400, 114020,
120009, 120030, 120044, 120240, 120420, 120480, 120500, 120801,
121001, 121008, 121100, 121800, 122004, 122080, 124400, 125000,
128020, 128040, 130400, 130800, 140003, 140009, 140011, 140050,
140060, 140090, 140120, 140210, 140408, 140480, 140820, 141020,
142040, 143000, 144008, 144100, 148001, 148010, 148080, 148800,
14C000, 150008, 150200, 150400, 160200, 180012, 180030, 180050,
180084, 180104, 180500, 181040, 182080, 182200, 188002, 188400,
190002, 190004, 190040, 190200, 192000, 1A0020, 1C0002, 1C0008,
1C0010, 1C0040, 1C1000, 1C8000,
22 20001C, 200061, 200094, 2000B0, 200111, 200182, 200188, 2001C0,
200209, 200244, 200403, 200414, 200460, 200481, 200805, 200844,
2008C0, 200908, 200920, 200A40, 200C02, 201014, 201102, 201201,
201204, 201240, 201300, 201402, 201410, 201420, 201801, 201900,
202006, 202011, 2020C0, 202102, 202110, 202140, 204003, 204048,
204140, 204240, 204840, 204900, 204A00, 205040, 205080, 206080,
206200, 207000, 208024, 208041, 208102, 208500, 208801, 208810,
209200, 20C400, 210044, 210050, 210084, 210110, 210220, 210500,
210801, 211010, 211080, 214010, 218004, 21A000, 220024, 220402,
221200, 223000, 224040, 230001, 240006, 240022, 240030, 240402,
240900, 242010, 244010, 244200, 244800, 248008, 248020, 250100,
250400, 252000, 270000, 280005, 280404, 280408, 280500, 280600,
281020, 281080, 281100, 283000, 284001, 288004, 2C0004, 2C0080,
300018, 300042, 300101, 300210, 300220, 300300, 300900, 301001,
302400, 304020, 30C000, 310080, 311000, 320800, 340002, 340200,
380040, 380400,
23 400015, 400016, 400019, 400026, 400032, 400043, 400045, 40004C,
400051, 400062, 4000B0, 4000C1, 4000C4, 400112, 400124, 400148,
400181, 4001A0, 400206, 400214, 400228, 400260, 4002A0, 400308,
400340, 400444, 400460, 400484, 400490, 400501, 400700, 400811,
400812, 400818, 400822, 400824, 400884, 4008C0, 400902, 400A02,
400C04, 400C10, 400C20, 40100C, 401021, 401050, 401088, 401101,
401110, 401180, 401300, 401401, 401404, 401801, 401880, 402028,
402030, 402048, 402082, 402090, 402102, 402104, 402110, 402120,
402180, 402220, 402802, 402810, 402880, 403004, 403200, 403800,
404003, 404009, 404011, 404024, 404041, 404088, 404090, 4040C0,
404401, 404404, 404408, 404410, 404480, 404500, 404600, 404880,
405002, 406010, 406100, 406200, 40800C, 408030, 408044, 408050,
408060, 408101, 408110, 408408, 408802, 409020, 40B000, 40C001,
40C008, 40C080, 40C400, 410006, 410014, 410021, 410041, 410060,
410084, 410108, 410201, 410208, 410240, 410402, 410404, 410410,
410C00, 411100, 412004, 412100, 414004, 414008, 415000, 416000,
418020, 418040, 418800, 419000, 420011, 420084, 420102, 420180,
420210, 420500, 420820, 420880, 420C00, 421001, 421010, 422002,
422004, 422040, 422100, 422200, 424080, 424100, 424800, 428002,
428040, 428200, 430001, 430040, 430100, 434000, 440005, 440011,
4400A0, 4400C0, 440202, 440401, 440404, 440840, 440880, 441002,
441020, 442020, 443000, 444001, 444080, 444200, 448004, 448100,
44A000, 450100, 451000, 460001, 460400, 480005, 480009, 48000C,
480014, 480022, 480048, 480084, 4800A0, 480110, 480120, 480300,
480404, 480804, 480808, 480820, 480880, 480A00, 480C00, 482002,
482100, 484002, 484004, 484010, 484020, 484400, 484800, 488040,
488800, 48C000, 490002, 490080, 490400, 492000, 4A0004, 4A0020,
4A1000, 4C0004, 4C0040, 4C0200, 4C8000, 500003, 500012, 500024,
500050, 500084, 500104, 500110, 500208, 500280, 500402, 500440,
500500, 500802, 500820, 501008, 501400, 502010, 502100, 502400,
504100, 510004, 510400, 518000, 520002, 520400, 522000, 530000,
540001, 580020, 581000, 590000, 5A0000, 600003, 60000A, 600018,
600030, 600081, 600088, 6000C0, 600210, 600600, 600808, 600880,
600A00, 601020, 602040, 602200, 602800, 604001, 606000, 608020,
608080, 60C000, 610020, 610200, 620008, 620010, 620080, 620400,
628000, 640004, 640080, 660000, 680004, 680008, 688000, 6A0000,
700001, 700002, 700080, 708000,
24 80000D, 800043, 800058, 800092, 800112, 800128, 80020C, 800221,
800224, 800412, 800422, 800481, 800520, 800580, 800602, 800806,
801005, 801210, 801410, 803040, 804006, 8040A0, 805008, 808005,
808012, 808042, 808140, 80A001, 80D000, 810003, 81000A, 810082,
810600, 812020, 814080, 818002, 820012, 820240, 824010, 825000,
828100, 830002, 840018, 840024, 840120, 841004, 841008, 841400,
842400, 880102, 880410, 880500, 8A4000, 8C0001, 8C0010, 8D0000,
900102, 900410, 904001, 904002, 920010, 922000, 982000, A00011,
A00060, A000C0, A00104, A03000, A04004, A04008, A08040, A10080,
A21000, A40020, A40080, A41000, A44000, A48000, A80040, B00100,
B00800, C00018, C00104, C00201, C00280, C02001, C09000, C22000,
C40002, D00080, D00400, D80000, E00040, E10000,
25 1000007, 1000016, 1000049, 1000062, 1000086, 10000A2, 10000D0, 100010A,
1000111, 1000118, 1000144, 1000160, 1000182, 1000190, 1000205, 1000206,
1000290, 1000310, 1000320, 1000444, 10004A0, 1000580, 1000805, 100080C,
1000811, 1000812, 1000818, 1000844, 1000890, 1000901, 1000920, 1000A10,
1000C10, 1001014, 1001022, 1001024, 1001084, 10010A0, 1001110, 1001140,
1001180, 1001201, 1001410, 1001801, 1001804, 1001808, 1001840, 1001900,
1001A00, 1002011, 1002021, 1002022, 1002030, 10020A0, 1002102, 1002140,
1002202, 1002300, 1002404, 1002420, 1002801, 1002A00, 1002C00, 1003002,
1003020, 1003100, 1003400, 1004048, 1004050, 1004088, 10040C0, 1004220,
1004480, 1004820, 1005002, 1005008, 1005010, 1005020, 1005040, 1005400,
1005800, 1006001, 1006010, 1006040, 1006080, 1008006, 1008009, 1008082,
1008090, 10080A0, 1008101, 1008102, 1008104, 1008108, 1008180, 1008204,
1008240, 1008410, 1008804, 1008810, 1008C00, 1009001, 1009800, 100A002,
100A004, 100C001, 100C020, 100C400, 1010005, 1010006, 1010011, 1010021,
1010028, 1010030, 1010042, 1010050, 1010081, 1010084, 1010140, 1010180,
1010202, 1010404, 1010440, 1010600, 1010802, 1010808, 1010840, 1011010,
1011020, 1012004, 1012008, 1012200, 1014010, 1018010, 1018080, 1018100,
1018800, 101A000, 102000C, 1020044, 1020088, 1020101, 1020204, 1020402,
1020600, 1020820, 1020840, 1020A00, 1021020, 1021040, 1021080, 1021800,
1022001, 1022080, 1024008, 1024100, 1028002, 1028080, 1028400, 1028800,
1030008, 1030010, 1030200, 1040012, 1040014, 1040028, 1040048, 1040082,
1040084, 1040090, 1040120, 1040220, 1040300, 1040801, 1040804, 1040840,
1040880, 1040A00, 1040C00, 1041040, 1041200, 1042400, 1044010, 1044020,
1044200, 1048001, 1048008, 1048020, 1049000, 104C000, 1050100, 1050400,
1050800, 1052000, 1068000, 1080005, 1080014, 1080050, 1080084, 1080088,
10800C0, 1080180, 1080220, 1080280, 1080404, 1080600, 1080801, 1080808,
1080880, 1080A00, 1081100, 1082001, 1082100, 1082800, 1083000, 1084002,
1084008, 1085000, 1088800, 108C000, 1090001, 1090008, 1090020, 1090100,
1091000, 1094000, 1098000, 10A0001, 10A0010, 10A0080, 10A0200, 10B0000,
10C0004, 10C0080, 10C0400, 110000A, 1100011, 1100018, 1100041, 1100044,
1100081, 1100088, 1100090, 11000C0, 1100104, 1100120, 1100210, 1100240,
1100480, 1100801, 1100808, 1100A00, 1101008, 1101010, 1101080, 1101800,
1104001, 1108002, 1108100, 1110008, 1110010, 1110040, 1110200, 1120020,
1120200, 1140020, 1140080, 1180008, 1181000, 1188000, 1200005, 1200030,
1200041, 1200201, 1200480, 1200500, 1200802, 1200804, 1201004, 1201020,
1201100, 1201800, 1202010, 1202080, 1202400, 1204002, 1204040, 1204100,
1208001, 1208008, 1208100, 1210002, 1210010, 1210020, 1210080, 1210800,
1220008, 1220040, 1221000, 1222000, 1228000, 1240800, 1280002, 1280010,
1280020, 1280800, 1300040, 1301000, 1400003, 1400014, 1400081, 1400084,
1400102, 1400108, 1400140, 1400204, 1400210, 1400500, 1400A00, 1400C00,
1401004, 1401080, 1402040, 1404080, 1404400, 1408002, 1408100, 1408400,
1410020, 1410100, 1418000, 1420001, 1420080, 1440400, 1440800, 1450000,
1460000, 1480020, 1481000, 1500008, 1508000, 1600080, 1600100, 1604000,
1610000, 1680000, 1800021, 1800042, 1800050, 1800081, 1800090, 1800101,
1800104, 1800120, 1800208, 1800300, 1800410, 1800440, 1800600, 1800801,
1800900, 1801001, 1801008, 1801010, 1801020, 1801400, 1801800, 1804004,
1804800, 1808001, 1808040, 1808100, 1809000, 1810001, 1810002, 1810008,
1810080, 1820004, 1820008, 1840001, 1840080, 1840400, 1880008, 1880080,
1880400, 1881000, 1888000, 1900100, 1920000, 1A00004, 1A00010, 1A00080,
1A01000, 1A04000, 1C00002, 1E00000,
26 2000023, 2000026, 2000058, 2000070, 200008C, 20000C1, 20000C4, 2000109,
2000122, 2000142, 20001A0, 2000214, 2000244, 2000250, 2000414, 2000421,
2000460, 2000484, 2000580, 2000608, 2000700, 2000809, 2000850, 20008C0,
2001014, 2001081, 2001202, 2001210, 2001401, 2001404, 2001840, 2001880,
200200C, 2002110, 2002204, 2002420, 2004018, 2004024, 2004090, 2004500,
2004600, 2006001, 2006002, 2008006, 2008018, 2008140, 2008204, 2008810,
2009002, 2009080, 200C040, 200C400, 2010022, 2010030, 2010101, 2010102,
2011020, 2014001, 2014020, 2014040, 2014400, 201C000, 2020003, 2020104,
2021200, 2023000, 2028001, 2030010, 2034000, 2040003, 204000A, 2040050,
2040088, 2040101, 2040102, 2040108, 2040500, 2040600, 2042001, 2042004,
2043000, 2044001, 2048010, 2050008, 2050200, 2060008, 2062000, 2080060,
2080084, 2080090, 2080404, 2080500, 2080804, 2081100, 2084800, 2088001,
20A0001, 20B0000, 20C0020, 20C4000, 2100012, 2100030, 2100082, 2100102,
2100180, 2100201, 2100240, 2100802, 2102200, 2104002, 2104004, 2109000,
2110008, 2110800, 2120020, 2120400, 2140002, 2140040, 2142000, 2148000,
2180010, 2180100, 21C0000, 2200084, 22000C0, 2200110, 2200140, 2201002,
2201004, 2208004, 220C000, 2210001, 2210040, 2220040, 2300200, 2300400,
2340000, 2400009, 2400041, 2400208, 2400410, 2400801, 2400840, 2401001,
2401008, 2402020, 2404020, 2405000, 2408200, 2408800, 2410080, 2420008,
2420020, 2424000, 2440001, 2448000, 2460000, 2480400, 2501000, 2504000,
2508000, 2600800, 2620000, 2800009, 2800050, 2800081, 2800410, 2800C00,
2801001, 2801008, 2801200, 2802010, 2809000, 2810010, 2810040, 2810100,
2820010, 2850000, 2880100, 2890000, 2900010, 2A00040, 2C00200, 2C80000,
3000011, 3000044, 30000A0, 3000108, 3000220, 3000280, 3000440, 3000500,
3000840, 3000C00, 3001002, 3001004, 3002004, 3005000, 3008010, 3010040,
3010100, 3020002, 3021000, 3040004, 3060000, 3084000, 3100001, 3200002,
3200004, 3202000, 3210000, 3800040, 3800080, 3880000,
27 4000013, 4000068, 4000094, 4000098, 40000C1, 4000112, 4000114, 4000128,
4000144, 4000182, 4000203, 4000218, 4000242, 4000290, 40002C0, 4000340,
4000680, 4000806, 4000822, 4000830, 4000890, 4000908, 4000A20, 4000D00,
4001012, 4001048, 4001088, 40010C0, 4001108, 4001140, 4001208, 4001210,
4001220, 4001401, 4001402, 4001900, 4002018, 4002084, 4002102, 4002500,
4002900, 4003200, 4004108, 4004110, 4004240, 4004500, 4004A00, 4005040,
4006080, 4008003, 4008005, 4008021, 4008042, 4008101, 4008202, 4008210,
4008280, 4008820, 4008900, 400A008, 400C200, 401000A, 4010011, 4010018,
4010102, 4010180, 4010240, 4010280, 4010420, 4010802, 4010804, 4010810,
4010C00, 4012004, 4012040, 4012080, 4012100, 4013000, 4014002, 4014800,
4018008, 4018080, 4020014, 4020022, 4020041, 4020084, 4020201, 4020208,
4020410, 4020802, 4021001, 4021008, 4021200, 4022002, 4024400, 4025000,
4026000, 4028020, 4028800, 4029000, 402C000, 4030020, 4040042, 4040082,
4040140, 4040280, 4040402, 4040600, 4041200, 4041800, 4050080, 4050200,
4050400, 4058000, 4060200, 4080009, 408000A, 4080401, 4081001, 4081040,
4081200, 4082040, 4082800, 4090200, 4090800, 40A0080, 40A2000, 40B0000,
40C2000, 40D0000, 4100028, 4100060, 4100084, 4100110, 4100300, 4100500,
4100810, 4104001, 4104400, 4108008, 4108200, 4112000, 4114000, 4180010,
4180020, 420000C, 4200028, 4200048, 4200060, 4200104, 4200108, 4200204,
4204020, 4204200, 4208100, 4210001, 4210002, 4210400, 4212000, 4220004,
4220008, 4220020, 4220800, 4244000, 4250000, 4304000, 4400022, 4400042,
4400104, 4400110, 4400420, 4400600, 4401400, 4402100, 4404002, 4410100,
4412000, 4420010, 4420800, 4422000, 4424000, 4440002, 4442000, 4480002,
4480010, 4482000, 4500010, 4500020, 4520000, 4580000, 4600200, 4601000,
4610000, 4640000, 4800012, 4800082, 4800102, 4800110, 4801200, 4802002,
4804200, 4810010, 4820002, 4820008, 4820010, 4840020, 4840100, 4841000,
48A0000, 4900001, 4900002, 4A00100, 4A20000, 4A40000, 4C00002, 4C00010,
500000C, 5000011, 5000024, 5000048, 5000082, 5000088, 5000104, 5000202,
5000210, 5000401, 5000801, 5000808, 5000A00, 5001004, 5001100, 5002001,
5004100, 5004200, 5008080, 500A000, 5010002, 5010400, 5020004, 5020200,
5021000, 5040002, 5040004, 5040080, 5060000, 5080008, 5080080, 5080400,
5090000, 5100008, 5100100, 5104000, 5200004, 5202000, 5220000, 5400040,
5400200, 5800001, 5804000, 6000006, 6000011, 6000024, 6000201, 6000210,
6000820, 6001002, 6002040, 6002100, 6004002, 6008002, 6008040, 600A000,
6010001, 6010100, 6020400, 6080100, 60C0000, 6100400, 6200001, 6200002,
6200200, 6400040, 6800400, 7000400, 7010000, 7200000,
28 8000029, 8000070, 8000111, 8000190, 8000205, 8000214, 8000308, 8000380,
8000444, 8000604, 8000803, 8001012, 8001084, 8001108, 8001120, 8002042,
8002044, 8002081, 8002600, 8003010, 8004012, 8004041, 8004082, 80040C0,
8004480, 8004808, 8008024, 8008110, 8008180, 800A010, 800A100, 8010003,
801000C, 8010060, 8010081, 8010204, 8010808, 8010810, 8010880, 8011002,
8014010, 8018080, 8020104, 8020480, 8020600, 8021010, 8028100, 8030200,
8032000, 804000C, 8040012, 8040404, 8040A00, 8041020, 8042800, 8080044,
8080060, 8080084, 8080110, 8080810, 8080C00, 8081080, 8084001, 8084080,
8088400, 8090040, 8090200, 8091000, 80C0800, 80E0000, 8100009, 8100041,
8100082, 8100480, 8101001, 8101010, 8101040, 8104020, 8104040, 8108008,
8120008, 8180001, 8181000, 8200005, 8200102, 8201040, 8204008, 8204100,
8208004, 8210010, 8244000, 8280004, 8300080, 8300400, 8400042, 8400404,
8400420, 8400801, 8401400, 8402001, 8402800, 8404040, 8404200, 8406000,
8408004, 8408080, 8408400, 8410004, 8420002, 8440080, 8440800, 8480008,
84C0000, 8600002, 8700000, 8800011, 8800048, 8800090, 8800240, 8800840,
8801020, 8804001, 8808400, 8809000, 8820004, 8844000, 8860000, 8900008,
8C00001, 90000A0, 9000208, 9000404, 9000410, 9000801, 9000810, 9000820,
9001001, 9010004, 9010010, 9010100, 9020002, 9020400, 9030000, 9040200,
9080080, 9084000, 9100080, 9102000, 9110000, 9200800, 9420000, 9800100,
9800400, A000030, A000204, A000210, A004400, A040020, A080040, A081000,
A100010, A102000, A400100, A401000, A404000, C000018, C0000C0, C000401,
C001008, C001080, C002010, C004004, C004040, C008004, C008010, C010001,
C080400, C082000, C100040, C101000, C400008, C440000, C800040, CA00000,
D000020, D020000, E000400, E008000,
29 1000000B, 1000000E, 10000046, 10000061, 1000008C, 100000C4, 100000C8, 10000103,
1000010A, 10000130, 10000182, 10000206, 10000211, 10000218, 10000221, 10000260,
100002A0, 10000308, 10000310, 10000340, 10000422, 10000460, 10000502, 10000508,
10000806, 10000842, 10000882, 100008C0, 10000920, 10001028, 10001102, 10001204,
10001600, 10002006, 10002012, 10002021, 10002048, 10002084, 10002104, 10002110,
10002201, 10002204, 10002300, 10002410, 10002808, 10002880, 10002A00, 10003008,
1000400A, 10004082, 100040C0, 10004102, 10004402, 10005010, 10005080, 10006100,
10006400, 1000800A, 10008014, 10008022, 10008042, 10008050, 10008140, 10008204,
10008408, 10008840, 10009004, 1000A040, 1000A200, 1000C010, 10010060, 10010420,
10010802, 10011200, 10012020, 10014040, 10014400, 10020006, 10020012, 10020014,
10020081, 10020180, 10020202, 10020420, 10021008, 10021010, 10021040, 10022020,
10022040, 10022800, 10024080, 10026000, 10028200, 10030004, 10030200, 10040005,
10040018, 10040042, 10040101, 10040108, 10040300, 10040600, 10040801, 10040C00,
10041002, 10041400, 10042100, 10044002, 10045000, 10048080, 10048800, 10050001,
10054000, 10060040, 10060200, 10068000, 10080012, 10080022, 10080044, 100800A0,
10080120, 10080402, 10080500, 10080802, 10081020, 10082004, 10082020, 10082080,
10084080, 10084200, 10086000, 10090004, 100A0002, 100A0008, 100A0020, 100A0100,
100C0200, 100C4000, 10100003, 10100012, 10100084, 101000A0, 10100102, 10100802,
10101200, 10102001, 10102002, 10102100, 10102400, 10104004, 10104010, 10104100,
10108040, 1010A000, 10110020, 10114000, 10140002, 10180004, 10180400, 1020000A,
1020000C, 10200014, 10200030, 10200101, 10200102, 10200110, 10200220, 10200600,
10201080, 10202008, 10202800, 10204400, 10205000, 10208002, 10208400, 10211000,
10240002, 10281000, 102C0000, 10302000, 10310000, 10400009, 1040000C, 10400028,
10400030, 10400220, 10400500, 10400880, 10402010, 10404100, 10404400, 10404800,
10408001, 10408100, 10410004, 10420400, 10420800, 10440020, 10440040, 10480002,
10480100, 10490000, 10500001, 10500010, 10500080, 10500100, 10540000, 10600008,
10600800, 10620000, 10640000, 10800042, 10800084, 108000A0, 10800208, 10800402,
10802001, 10802080, 10803000, 10804020, 10808400, 1080A000, 10810002, 10820004,
10824000, 10840002, 10880040, 10884000, 108C0000, 10A01000, 10C00020, 10C00040,
10C80000, 11000003, 11000022, 11000060, 11000202, 11000408, 11000500, 11001002,
11002008, 11004001, 11004008, 11004040, 11008400, 1100C000, 11014000, 11020001,
11020008, 11021000, 11040010, 11080200, 110A0000, 110C0000, 11204000, 11300000,
11400020, 11408000, 11800002, 11800200, 11840000, 12000012, 12000022, 12000104,
12000180, 12000402, 12000410, 12000801, 12000820, 12000900, 12000C00, 12001004,
12002002, 12002080, 12004100, 12008004, 12009000, 12041000, 12044000, 12048000,
12080004, 12084000, 12100010, 12100080, 12104000, 12200100, 12300000, 12800040,
12800400, 12801000, 13000020, 13000040, 13100000, 14000011, 14000012, 14000018,
14000102, 14000120, 14000210, 14000240, 14000280, 14000500, 14000810, 14001040,
14002200, 14004004, 14004080, 14008008, 14008200, 14010080, 14010100, 14010800,
14020004, 14020010, 14020100, 14022000, 14040001, 14040008, 14040400, 14080002,
14080040, 14080080, 14082000, 14088000, 140A0000, 14102000, 14110000, 14180000,
14200010, 14200200, 14201000, 14210000, 14400004, 14400008, 14400100, 14401000,
14420000, 14800002, 14800004, 14800080, 14800100, 14800400, 14804000, 15000040,
15001000, 15002000, 15080000, 16000400, 16004000, 16010000, 16040000, 16200000,
17000000, 180000A0, 18000202, 18000408, 18000A00, 18001020, 18002008, 18004010,
18004080, 18010004, 18010200, 18044000, 18080040, 18080200, 18100400, 18404000,
18440000, 18600000, 18800002, 18840000, 19000020, 1A000200, 1C000008, 1C000080,
30 20000029, 20000089, 200000A4, 20000148, 20000160, 20000241, 20000244, 20000602,
20000841, 20000910, 20000C04, 20000C10, 20001021, 20001042, 20001048, 20001082,
20001202, 20001401, 20002048, 20002090, 20002180, 20002440, 20003010, 20003400,
20004204, 2000800C, 2000C001, 20010041, 20010090, 20010240, 20010480, 20010820,
20011008, 20018200, 20018400, 20020021, 20020102, 20024002, 20024080, 20030080,
20040042, 20040204, 20040600, 20041040, 20043000, 20044008, 20044040, 20058000,
20080042, 20080048, 20080401, 20081080, 20083000, 200A0010, 200C0400, 20100084,
20100500, 20100801, 20102002, 20108004, 20140100, 20180004, 20200041, 20200090,
20200108, 20200401, 20200408, 20201004, 20201800, 20204800, 20210200, 20240040,
20241000, 20308000, 20400003, 2040000A, 20400081, 20400102, 20400402, 20400480,
20400802, 20401001, 20402008, 20404400, 20410004, 20410400, 20420004, 20448000,
20480010, 20481000, 20500020, 20800006, 20800140, 20800410, 20810010, 20821000,
20900001, 20900002, 20D00000, 21000018, 21000088, 21000090, 21000240, 21000A00,
21001001, 21001020, 21004008, 21008002, 21008008, 21010002, 21018000, 21040020,
21060000, 21120000, 21200001, 21200004, 21200008, 21200010, 21200080, 21201000,
21208000, 21400008, 22000009, 22000042, 22000050, 22000090, 22000404, 22002001,
22002010, 22004004, 22004010, 22004400, 22008040, 22011000, 22040080, 22080001,
22100080, 22200010, 22400200, 22408000, 22410000, 22500000, 23000010, 24000044,
24000090, 24000300, 24000801, 24000840, 24001040, 24002100, 24004008, 24010002,
24010080, 24020001, 24040008, 24060000, 24080400, 24084000, 24200100, 24400004,
24480000, 24A00000, 26002000, 28000120, 28001004, 28001010, 28002010, 28004800,
28008001, 28008100, 28020040, 28040040, 28090000, 280C0000, 28100040, 28100800,
28210000, 28400008, 28400200, 28400400, 28410000, 2A000040, 2C000020, 30000090,
30000120, 30000208, 30000804, 30002002, 30006000, 30008008, 30010010, 30010040,
30020004, 30020100, 30040080, 30040200, 30050000, 30200040, 30400080, 30401000,
30420000, 30480000, 30800800, 30810000, 32000008, 32200000, 32800000, 38000040,

..end