Table for CAN(5,k,10) for k up to 10000

Last Updated Tue Mar 8 20:11:31 MST 2022

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,10) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source

6 100000 Derive from strength 6

7 120000 Ji-Li-Yin

8 132547 Add a symbol postop NCK

9 144071 Add a symbol postop NCK

10 153884 orthogonal array fuse postop NCK

11 157819 orthogonal array fuse postop NCK

12 159639 orthogonal array fuse postop NCK

13 265415 extended OA (Colbourn) special fuse postop NCK

14 301504 orthogonal array fuse fuse fuse postop NCK

15 307459 4-Restricted SCPHF RE (CL) fuse

16 320769 3-Restricted SCPHF RE (CL) fuse

17 321979 2-Restricted SCPHF RE (CL) fuse

26 468499 4-Restricted SCPHF RE (CL) fuse

28 481809 3-Restricted SCPHF RE (CL) fuse

29 483129 SCPHF Random Extension (CLS) fuse

30 483149 CPHF IPO 3 (WCS) fuse

38 614909 4,4-Restricted SCPHF RE (CL) fuse

39 628219 4,3-restricted SCPHF RE (CL) fuse

42 629539 4-Restricted SCPHF RE (CL) fuse

44 641529 3,3-Restricted SCPHF RE (CL) fuse

46 642739 3,2-restricted SCPHF RE (CL) fuse

47 642849 3-Restricted SCPHF RE (CL) fuse

51 644199 CPHF IPO 4 (WCS) fuse

61 775949 4,4-Restricted SCPHF RE (CL) fuse

69 790579 4-Restricted SCPHF RE (CL) fuse

77 803889 3-Restricted SCPHF RE (CL) fuse

79 805099 2-Restricted SCPHF RE (CL) fuse

89 805249 CPHF IPO 5 (WCS) fuse

90 922359 4,4,4-Restricted SCPHF RE (CL) fuse

100 936989 4,4-Restricted SCPHF RE (CL) fuse

109 951619 4-Restricted SCPHF RE (CL) fuse

120 964929 3-Restricted SCPHF RE (CL) fuse

125 966139 2-Restricted SCPHF RE (CL) fuse

159 966299 CPHF IPO 6 (WCS) fuse

161 1098029 4,4-Restricted SCPHF RE (CL) fuse

182 1112659 4-Restricted SCPHF RE (CL) fuse

196 1125969 3-Restricted SCPHF RE (CL) fuse

209 1127179 2-Restricted SCPHF RE (CL) fuse

228 1244439 4,4,4-Restricted SCPHF RE (CL) fuse

248 1259069 4,4-Restricted SCPHF RE (CL) fuse

289 1273699 4-Restricted SCPHF RE (CL) fuse

328 1287009 3-Restricted SCPHF RE (CL) fuse

332 1288219 2-Restricted SCPHF RE (CL) fuse

340 1288329 SCPHF Random Extension (CLS) fuse

342 1288399 CPHF Random Extension (CLS) fuse

389 1405479 4,4,4-Restricted SCPHF RE (CL) fuse

425 1420109 4,4-Restricted SCPHF RE (CL) fuse

472 1434739 4-Restricted SCPHF RE (CL) fuse

505 1448049 3-Restricted SCPHF RE (CL) fuse

524 1449259 2-Restricted SCPHF RE (CL) fuse

529 1449369 SCPHF Random Extension (CLS) fuse

533 1449449 CPHF Random Extension (CLS) fuse

614 1566519 4,4,4-Restricted SCPHF RE (CL) fuse

680 1581149 4,4-Restricted SCPHF RE (CL) fuse

730 1595779 4-Restricted SCPHF RE (CL) fuse

827 1609089 3-Restricted SCPHF RE (CL) fuse

828 2154669 Add 1 factors

829 2428269 Add 2 factors

831 2674539 Add 4 factors

832 2725485 Add 5 factors

838 2923259 Add 11 factors

839 3468839 Add 11 factors

840 3742439 Add 11 factors

842 3988709 Add 11 factors

843 4039655 Add 11 factors

849 4237429 Add 11 factors

850 4271259 Martirosyan-Colbourn

944 4285889 Martirosyan-Colbourn

1010 4299199 Martirosyan-Colbourn

1028 4300409 Martirosyan-Colbourn

1036 4407869 Martirosyan-Colbourn

1048 4418759 Martirosyan-Colbourn

1058 4418869 Martirosyan-Colbourn

1066 4418949 Martirosyan-Colbourn

1212 4536019 Martirosyan-Colbourn

1226 4537009 Martirosyan-Colbourn

1228 4546909 Martirosyan-Colbourn

1360 4561539 Martirosyan-Colbourn

1438 4576169 Martirosyan-Colbourn

1460 4577159 Martirosyan-Colbourn

1522 4590469 Martirosyan-Colbourn

1562 4591459 Martirosyan-Colbourn

1654 4591999 Martirosyan-Colbourn

1656 5137579 Martirosyan-Colbourn

1658 5411179 Martirosyan-Colbourn

1662 5657449 Martirosyan-Colbourn

1682 5665842 Power N-CT41^2+1

1683 5725792 Power N-CT43^2Arc(4)

1723 5737782 Power N-CT43^2Arc(3)

1764 5749772 Power N-CT43^2T1T1

1786 5757692 Power N-CT47^2T9

1806 5761762 Power N-CT43^2T1

1809 5770892 Power N-CT47^2Trin1,3,5

1848 5771002 Power N-CT47^2T5T3

1851 5771992 Power N-CT47^2Arc(3)T5

1891 5772102 Power N-CT47^2Arc(2)T5

1932 5772212 Power N-CT47^2T5T1

1974 5772322 Power N-CT47^2T5

1981 5784092 Power N-CT47^2Arc(2)T3

2024 5784202 Power N-CT47^2T3T1

2068 5784312 Power N-CT47^2T3

2071 5785302 Power N-CT47^2Arc(3)

2116 5785412 Power N-CT47^2T1T1

2162 5785522 Power N-CT47^2T1

2209 5785632 Power N-CT47^2

2213 5797782 perfect hash family9,2213,51

2360 6178182 perfect hash family4,3125,625T153

2525 6191492 perfect hash family4,3125,625T120

2620 6192702 perfect hash family4,3125,625T101

2645 6192812 perfect hash family4,3125,625T96

2665 6192892 perfect hash family4,3125,625T92

3070 6309962 perfect hash family4,3125,625T11

3125 6324592 perfect hash family4,3125,625

3149 6967472 Power N-CT67^2T20

3417 6968822 Power N-CT67^2T16

3721 6983532 Power N-CT61^2

3738 7071522 Power N-CT89^2T47

3829 7082562 Power N-CT79^2Trin2,2,28

3916 7083512 Power N-CT89^2T45

3927 7083772 Power N-CT79^2T28T2

4094 7084722 Power N-CT89^2T43

4183 7084832 Power N-CT89^2T42

4539 7086182 Power N-CT89^2T38

4627 7195062 Power N-CT71^2Trin2,2,2

4761 7208372 Power N-CT71^2T2T2

4819 7216732 Power N-CT79^2T18

5429 7217932 Power N-CT89^2T28

5451 7231362 Power N-CT79^2T10

6141 7232562 Power N-CT89^2T20

6853 7245872 Power N-CT89^2T12

7031 7247082 Power N-CT89^2T10

7921 7247232 Power N-CT89^2

7922 8049942 Add 1 factors

8224 8286522 Power N-CT101^2Arc(9)T12

8633 8301152 Power N-CT97^2T8

8639 8359672 Power N-CT101^2Arc(4)T12

8725 8374302 Power N-CT101^2Arc(3)T12

8812 8388932 Power N-CT101^2Arc(2)T12

8900 8403562 Power N-CT101^2T12T1

9701 8418192 perfect hash family9,11881,109T20

9706 8491412 Power N-CT101^2Arc(5)

9803 8506042 Power N-CT101^2Arc(4)

9901 8520672 Power N-CT101^2Arc(3)

10000 8524672 perfect hash family9,12769,113T24

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