Table for CAN(6,k,8) for k up to 10000

Last Updated Sat Nov 16 19:19:53 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;6,k,8) 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

9 262144 orthogonal array

10 450372 orthogonal array fuse postop NCK

12 491520 5-Restricted SCPHF RE (CL)

13 520192 4-Restricted SCPHF RE (CL)

17 753656 5-Restricted SCPHF RE (CL)

18 782328 4-Restricted SCPHF RE (CL)

22 983032 5,5-Restricted SCPHF RE (CL)

23 1015792 5-Restricted SCPHF RE (CL)

25 1044464 4-Restricted SCPHF RE (CL)

26 1048496 2-Restricted SCPHF RE (CL)

29 1245168 5,5-Restricted SCPHF RE (CL)

31 1277928 5-Restricted SCPHF RE (CL)

32 1306600 4-Restricted SCPHF RE (CL)

33 1310632 2-Restricted SCPHF RE (CL)

36 1474544 5,5,5-Restricted SCPHF RE (CL)

39 1507304 5,5-Restricted SCPHF RE (CL)

42 1540064 5-Restricted SCPHF RE (CL)

45 1568736 4-Restricted SCPHF RE (CL)

46 1572320 3-Restricted SCPHF RE (CL)

47 1572768 2-Restricted SCPHF RE (CL)

48 1736680 5,5,5-Restricted SCPHF RE (CL)

54 1769440 5,5-Restricted SCPHF RE (CL)

58 1802200 5-Restricted SCPHF RE (CL)

61 1830872 4-Restricted SCPHF RE (CL)

65 1834456 3-Restricted SCPHF RE (CL)

67 1966056 5+-Restricted SCPHF RE (CL)

69 1998816 5,5,5-Restricted SCPHF RE (CL)

77 2031576 5,5-Restricted SCPHF RE (CL)

83 2064336 5-Restricted SCPHF RE (CL)

88 2093008 4-Restricted SCPHF RE (CL)

91 2096592 3-Restricted SCPHF RE (CL)

94 2097040 2-Restricted SCPHF RE (CL)

102 2260952 5,5,5-Restricted SCPHF RE (CL)

109 2293712 5,5-Restricted SCPHF RE (CL)

118 2326472 5-Restricted SCPHF RE (CL)

127 2355144 4-Restricted SCPHF RE (CL)

128 2358728 3-Restricted SCPHF RE (CL)

130 2359176 2-Restricted SCPHF RE (CL)

180 2621368 SCPHF Random Extension (CLS)

181 2621431 CPHF Random Extension (CLS)

237 2883504 SCPHF Random Extension (CLS)

238 4401776 Add 1 factors

239 5269104 Add 2 factors

240 5881968 Add 3 factors

241 6111344 Add 4 factors

242 6337136 Add 8 factors

245 6340720 Add 8 factors

246 7858992 Add 8 factors

247 8726320 Add 8 factors

248 9339184 Add 8 factors

249 9568560 Add 8 factors

250 9794352 Add 8 factors

251 9826160 Add 8 factors

253 9865584 Add 8 factors

283 10485468 perfect hash family4,283,180

284 10485657 perfect hash family4,285,181T1

285 10485720 perfect hash family4,285,181

318 11271876 perfect hash family4,375,237T57

319 11271939 perfect hash family4,375,237T56

375 11534012 perfect hash family4,375,237

395 13106835 perfect hash family5,395,180

397 13106898 perfect hash family5,405,181S4

399 13106961 perfect hash family5,405,181S3

401 13107024 perfect hash family5,405,181S2

403 13107087 perfect hash family5,405,181T1

405 13107150 perfect hash family5,405,181

429 14155379 perfect hash family5,515,223T43

431 14155442 perfect hash family5,515,223T42

540 14417515 perfect hash family5,540,237

541 15728580 perfect hash family6,541,181

542 15935787 perfect hash family5,550,238S4

550 16649976 Power CT25^2T3

575 16682736 Power CT25^2T2

625 16711408 Power CT25^2

626 16775920 Power CT25^2+1

651 17301018 perfect hash family6,651,237

676 18284161 Power N-CT29^2T3T3

725 18476801 Power N-CT29^2T4

754 18480833 Power N-CT29^2T3

841 18677505 Power N-CT29^2

899 19136145 Power N-CT31^2T2

961 19168905 Power N-CT31^2

962 19598985 Power N-CT31^2+1

963 19659465 Power N-CT31^2+2

992 20876912 Power CT32^2T1

1024 20905584 Power CT32^2

1025 20970096 Power CT32^2+1

1039 21069258 Power N-CT41^2Trin2,8,8

1066 21069314 Power N-CT41^2T15

1089 21102018 Power N-CT41^2T8T8

1098 21229138 Power N-CT41^2Trin2,5,9

1132 21233170 Power N-CT41^2Trin2,5,8

1151 21233226 Power N-CT41^2Trin2,2,10

1188 21261898 Power N-CT41^2Trin2,2,9

1225 21265930 Power N-CT41^2Trin2,2,8

1248 21294658 Power N-CT41^2T9T2

1287 21298690 Power N-CT41^2T8T2

1312 21327418 Power N-CT41^2T9

1353 21331450 Power N-CT41^2T8

1447 21462602 Power N-CT41^2Trin2,2,2

1521 21495362 Power N-CT41^2T2T2

1599 21528122 Power N-CT41^2T2

1682 21560882 Power N-CT41^2+1

1683 21847602 Power N-CT43^2Arc(4)

1723 21876274 Power N-CT43^2Arc(3)

1764 21904946 Power N-CT43^2T1T1

1806 21933618 Power N-CT43^2T1

1833 21953274 Power N-CT47^2T8

1851 21962290 Power N-CT43^2+2

1890 21982002 Power N-CT47^2T5T2

1891 21985138 Power N-CT47^2Arc(2)T5

1932 21985586 Power N-CT47^2T5T1

1974 21986034 Power N-CT47^2T5

1982 22010226 Power N-CT47^2Trin1,2,2

2025 22010674 Power N-CT47^2T2T2

2026 22013810 Power N-CT47^2Arc(2)T2

2070 22014258 Power N-CT47^2T2T1

2115 22014706 Power N-CT47^2T2

2116 22017842 Power N-CT47^2T1T1

2162 22018290 Power N-CT47^2T1

2209 22018738 Power N-CT47^2

2210 24313506 Power N-CT47^2+1

2256 24542714 Power N-CT53^2T6T5

2385 24571442 Power N-CT53^2T8

2438 24575026 Power N-CT53^2T7

2491 24575474 Power N-CT53^2T6

2544 24739386 Power N-CT53^2T5

2810 24772146 Power N-CT53^2+1

2814 25230786 perfect hash family14,2814,58

2839 25288130 Power N-CT59^2Arc(12)

2887 25316802 Power N-CT59^2Arc(11)

2936 25345474 Power N-CT59^2Arc(10)

2986 25374146 Power N-CT59^2Arc(9)

3037 25402818 Power N-CT59^2Arc(8)

3089 25431490 Power N-CT59^2Arc(7)

3142 25460162 Power N-CT59^2Arc(6)

3196 25488834 Power N-CT59^2Arc(5)

3251 25517506 Power N-CT59^2Arc(4)

3307 25546178 Power N-CT59^2Arc(3)

3364 25574850 Power N-CT59^2T1T1

3538 25603522 Power N-CT61^2T3

3721 25632194 Power N-CT61^2

3725 25682370 perfect hash family14,3725,65

3769 25819115 Power N-CT73^2Trin8,8,8

3883 25950715 Power N-CT73^2Trin6,8,8

3997 25983475 Power N-CT73^2Trin4,8,8

4225 26016235 Power N-CT73^2T8T8

4355 26147835 Power N-CT73^2T8T6

4485 26180595 Power N-CT73^2T8T4

4745 26213355 Power N-CT73^2T8

4891 26344955 Power N-CT73^2T6

5037 26377715 Power N-CT73^2T4

5333 26410475 perfect hash family13,5333,77

5395 26606475 Power N-CT83^2T18

5779 26738075 Power N-CT79^2Trin2,2,2

5929 26770835 Power N-CT79^2T2T2

6391 26803595 Power N-CT83^2T6

6889 26836355 Power N-CT83^2

6904 27201923 Power N-CT89^2Arc(6)T6

6982 27205507 Power N-CT89^2Arc(5)T6

7061 27209091 Power N-CT89^2Arc(4)T6

7141 27212675 Power N-CT89^2Arc(3)T6

7222 27216259 Power N-CT89^2Arc(2)T6

7304 27219843 Power N-CT89^2T6T1

7387 27223427 Power N-CT89^2T6

7402 27234179 Power N-CT89^2Arc(6)

7486 27237763 Power N-CT89^2Arc(5)

7571 27241347 Power N-CT89^2Arc(4)

7657 27244931 Power N-CT89^2Arc(3)

7744 27248515 Power N-CT89^2T1T1

7832 27252099 Power N-CT89^2T1

7923 27255683 Power N-CT89^2+2

7926 27261507 perfect hash family13,7926,94

8017 28896595 Power N-CT97^2Trin3,3,9

8026 28899731 Power N-CT97^2Trin3,6,6

8290 28900179 Power N-CT97^2Trin3,3,6

8563 28900627 Power N-CT97^2Trin3,3,3

8836 29064539 Power N-CT97^2T3T3

8888 29224419 Power N-CT101^2T13

9191 29228003 Power N-CT101^2T10

9494 29228451 Power N-CT101^2T7

10000 29392363 Power N-CT101^2

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