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

Last Updated Sat Nov 16 07:54:02 MST 2019

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

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

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

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

127 966299 CPHF Random Extension (CLS) fuse

147 1083399 4,4,4-Restricted SCPHF RE (CL) 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 4366839 Martirosyan-Colbourn

924 4381469 Martirosyan-Colbourn

944 4393349 Martirosyan-Colbourn

1010 4406659 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

1564 4591999 Martirosyan-Colbourn

1654 4687489 Martirosyan-Colbourn

1656 5233069 Martirosyan-Colbourn

1658 5506669 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

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

3721 6983532 Power N-CT61^2

4087 7100572 Power N-CT67^2T6

4491 7115202 Power N-CT67^2+2

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

4761 7208372 Power N-CT71^2T2T2

4819 7216732 Power N-CT79^2T18

5037 7221682 Power N-CT73^2T4

5179 7228942 Power N-CT79^2Trin2,2,10

5313 7230152 Power N-CT79^2T10T2

5451 7231362 Power N-CT79^2T10

5779 7242252 Power N-CT79^2Trin2,2,2

5929 7243462 Power N-CT79^2T2T2

6083 7244672 Power N-CT79^2T2

6241 7245882 Power N-CT79^2

6242 8048592 Add 1 factors

6853 8182752 Power N-CT89^2T12

7031 8183962 Power N-CT89^2T10

7120 8285162 Power N-CT101^2Arc(9)T24

7304 8286372 Power N-CT101^2Arc(9)T22

7469 8299792 Power N-CT97^2T20

7663 8301002 Power N-CT97^2T18

7922 8301222 Power N-CT89^2+1

8316 8403632 Power N-CT101^2Arc(9)T11

8393 8416832 perfect hash family9,11881,109T32

8611 8418042 perfect hash family9,11881,109T30

9144 8418262 Power N-CT101^2Arc(9)T2

9412 8432892 Power N-CT97^2+3

9421 8447522 Power N-CT101^2Arc(8)

9515 8462152 Power N-CT101^2Arc(7)

9610 8476782 Power N-CT101^2Arc(6)

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

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

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

10000 8535302 Power N-CT101^2T1T1

Graph: