Table for CAN(5,k,7) 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,7) 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

8 16807 orthogonal array

9 27639 orthogonal array fuse postop NCK

12 31213 4-Restricted SCPHF RE (CL)

14 33271 3-Restricted SCPHF RE (CL)

19 48013 4-Restricted SCPHF RE (CL)

21 50071 3-Restricted SCPHF RE (CL)

22 50419 CPHF Random Extension (CLS)

27 62419 4,4-Restricted SCPHF RE (CL)

28 64477 4,3-restricted SCPHF RE (CL)

29 64813 4-Restricted SCPHF RE (CL)

30 66829 3,2-restricted SCPHF RE (CL)

31 66871 3-Restricted SCPHF RE (CL)

39 79219 4,4-Restricted SCPHF RE (CL)

42 81277 4,3-restricted SCPHF RE (CL)

43 81613 4-Restricted SCPHF RE (CL)

45 83335 3,3-Restricted SCPHF RE (CL)

47 83629 3,2-restricted SCPHF RE (CL)

50 93625 4,4,4-Restricted SCPHF RE (CL)

54 95683 unknown CLS - fix

59 96019 4,4-Restricted SCPHF RE (CL)

61 98413 4-Restricted SCPHF RE (CL)

67 100471 3-Restricted SCPHF RE (CL)

68 100765 2-Restricted SCPHF RE (CL)

69 100807 SCPHF Random Extension (CLS)

77 110425 4,4,4-Restricted SCPHF RE (CL)

82 112819 4,4-Restricted SCPHF RE (CL)

93 115213 4-Restricted SCPHF RE (CL)

96 117271 3-Restricted SCPHF RE (CL)

99 117565 2-Restricted SCPHF RE (CL)

101 117607 SCPHF Random Extension (CLS)

112 127225 4,4,4-Restricted SCPHF RE (CL)

121 129619 4,4-Restricted SCPHF RE (CL)

132 132013 4-Restricted SCPHF RE (CL)

140 134071 3-Restricted SCPHF RE (CL)

148 134365 2-Restricted SCPHF RE (CL)

149 134407 SCPHF Random Extension (CLS)

159 144025 4,4,4-Restricted SCPHF RE (CL)

179 146419 4,4-Restricted SCPHF RE (CL)

195 148813 4-Restricted SCPHF RE (CL)

201 150871 3-Restricted SCPHF RE (CL)

205 151165 2-Restricted SCPHF RE (CL)

209 151207 SCPHF Random Extension (CLS)

211 151255 CPHF Random Extension (CLS)

230 160825 4,4,4-Restricted SCPHF RE (CL)

253 163219 4,4-Restricted SCPHF RE (CL)

284 165613 4-Restricted SCPHF RE (CL)

315 167671 3-Restricted SCPHF RE (CL)

318 168061 CPHF Random Extension (CLS)

341 177625 4,4,4-Restricted SCPHF RE (CL)

361 180019 4,4-Restricted SCPHF RE (CL)

418 182413 4-Restricted SCPHF RE (CL)

447 184471 3-Restricted SCPHF RE (CL)

451 184765 2-Restricted SCPHF RE (CL)

454 184807 SCPHF Random Extension (CLS)

455 184867 CPHF Random Extension (CLS)

495 194425 4,4,4-Restricted SCPHF RE (CL)

546 196819 4,4-Restricted SCPHF RE (CL)

592 199213 4-Restricted SCPHF RE (CL)

628 201271 3-Restricted SCPHF RE (CL)

660 201565 2-Restricted SCPHF RE (CL)

661 201607 SCPHF Random Extension (CLS)

679 211225 4,4,4-Restricted SCPHF RE (CL)

702 213619 4,4-Restricted SCPHF RE (CL)

703 293293 Add 1 factors

704 338275 Add 2 factors

705 352681 Add 3 factors

709 367087 Add 7 factors

749 384950 4,4-Restricted SCPHF RE (CL) fuse

812 389038 4-Restricted SCPHF RE (CL) fuse

813 470476 Add 1 factors

814 516928 Add 2 factors

815 531334 Add 3 factors

836 532160 Martirosyan-Colbourn

894 534218 Martirosyan-Colbourn

902 534512 Martirosyan-Colbourn

908 534554 Martirosyan-Colbourn

910 534614 Martirosyan-Colbourn

918 544172 Martirosyan-Colbourn

938 544424 Martirosyan-Colbourn

958 544676 Martirosyan-Colbourn

962 544928 Martirosyan-Colbourn

990 552992 Martirosyan-Colbourn

1070 555386 Martirosyan-Colbourn

1092 557402 Martirosyan-Colbourn

1142 559796 Martirosyan-Colbourn

1184 561560 Martirosyan-Colbourn

1256 563618 Martirosyan-Colbourn

1320 563912 Martirosyan-Colbourn

1322 563954 Martirosyan-Colbourn

1324 573572 Martirosyan-Colbourn

1336 573824 Martirosyan-Colbourn

1358 575336 Martirosyan-Colbourn

1404 577730 Martirosyan-Colbourn

1406 657404 Martirosyan-Colbourn

1408 702386 Martirosyan-Colbourn

1410 716792 Martirosyan-Colbourn

1447 725310 Power N-CT41^2Trin2,2,2

1521 727368 Power N-CT41^2T2T2

1599 729426 Power N-CT41^2T2

1600 731442 Power N-CT43^2Arc(2)T4

1682 731484 Power N-CT41^2+1

1683 733164 Power N-CT43^2Arc(4)

1723 733500 Power N-CT43^2Arc(3)

1764 733836 Power N-CT43^2T1T1

1806 734172 Power N-CT43^2T1

1849 734508 Power N-CT43^2

1890 750006 Power N-CT47^2T5T2

1974 750300 Power N-CT47^2T5

2021 750636 Power N-CT47^2T4

2025 752064 Power N-CT47^2T2T2

2115 752358 Power N-CT47^2T2

2209 752652 Power N-CT47^2

2235 788280 perfect hash family4,3125,625T178

2255 788574 perfect hash family4,3125,625T174

2270 788616 perfect hash family4,3125,625T171

2275 788676 perfect hash family4,3125,625T170

2475 798234 perfect hash family4,3125,625T130

2730 800628 perfect hash family4,3125,625T79

2960 803022 perfect hash family4,3125,625T33

3125 805080 perfect hash family4,3125,625

3186 863826 Power N-CT59^2T5

3481 864162 Power N-CT59^2

3599 883314 Power N-CT61^2T2

3721 885708 Power N-CT61^2

3953 899778 Power N-CT67^2T8

4087 902172 Power N-CT67^2T6

4489 904230 Power N-CT67^2

4490 906876 Power N-CT67^2+1

4491 907254 Power N-CT67^2+2

4493 964626 Power N-CT71^2Trin2,2,4

4494 964878 Power N-CT71^2Trin2,3,3

4560 964920 Power N-CT71^2Trin2,2,3

4627 964962 Power N-CT71^2Trin2,2,2

4692 974538 Power N-CT71^2T3T2

4761 974580 Power N-CT71^2T2T2

4891 983862 Power N-CT73^2T6

4964 984156 Power N-CT73^2T5

5037 984198 Power N-CT73^2T4

5333 993816 perfect hash family9,5333,77

5372 1003308 Power N-CT79^2T11

5451 1003350 Power N-CT79^2T10

5779 1008180 Power N-CT79^2Trin2,2,2

5929 1010574 Power N-CT79^2T2T2

6083 1012968 Power N-CT79^2T2

6244 1015362 Power N-CT79^2+3

6253 1017756 Power N-CT83^2Arc(8)

6329 1020150 Power N-CT83^2Arc(7)

6406 1022544 Power N-CT83^2Arc(6)

6484 1024938 Power N-CT83^2Arc(5)

6563 1027332 Power N-CT83^2Arc(4)

6643 1029726 Power N-CT83^2Arc(3)

6853 1032120 Power N-CT89^2T12

7298 1034514 Power N-CT89^2T7

7925 1036908 perfect hash family9,7925,93

8293 1051020 Power N-CT97^2Trin4,4,4

8560 1053078 Power N-CT97^2Trin1,4,4

8649 1053372 Power N-CT97^2T4T4

8655 1054548 Power N-CT97^2Arc(4)T4

8745 1054842 Power N-CT97^2Arc(3)T4

8836 1055136 Power N-CT97^2Arc(2)T4

8928 1055430 Power N-CT97^2T4T1

9021 1055724 Power N-CT97^2T4

9025 1055976 Power N-CT101^2Trin2,2,8

9207 1056018 Power N-CT101^2T8T2

9393 1056060 Power N-CT101^2T8

9504 1058076 Power N-CT101^2T5T2

9696 1058118 Power N-CT101^2T5

9801 1058370 Power N-CT101^2T2T2

9999 1058412 Power N-CT101^2T2

10000 1058454 Power N-CT101^2

Graph: