Table for CAN(6,k,3) for k up to 10000

Last Updated Fri Sep 20 11:45:18 MST 2013

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,3) 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).

Change t: - Change v: - + or go to Global Menu.

k N Source

7 729 orthogonal array

8 1152 cross-sum (CKRS)

9 1431 Walker-Colbourn postop NCK

11 1449 Walker-Colbourn

12 2181 Walker-Colbourn

13 2721 simulated annealing (AG-TJ-H)

14 2907 Walker-Colbourn

15 3223 Density (Colbourn) postop NCK

16 3435 Density (Colbourn) postop NCK

17 3654 Density (Colbourn) postop NCK

18 3846 Density (Colbourn) postop NCK

19 4051 Density (Colbourn) postop NCK

20 4363 Density Mult Cyclic (Colbourn) postop NCK

21 4535 Density Mult Cyclic (Colbourn) postop NCK

22 4700 Density Mult Cyclic (Colbourn) postop NCK

23 4855 Density Mult Cyclic (Colbourn) postop NCK

24 5035 Density Mult Cyclic (Colbourn) postop NCK

25 5180 Density Mult Cyclic (Colbourn) postop NCK

26 5355 Density Mult Cyclic (Colbourn)

27 5481 Density Mult Cyclic (Colbourn)

28 5631 Density Mult Cyclic (Colbourn)

29 5757 Density Mult Cyclic (Colbourn)

30 5883 Density Mult Cyclic (Colbourn)

31 6245 simulated annealing (AG-TJ-H)

32 6348 simulated annealing (AG-TJ-H)

33 6461 simulated annealing (AG-TJ-H)

34 6583 simulated annealing (AG-TJ-H)

35 6741 simulated annealing (AG-TJ-H)

36 6832 simulated annealing (AG-TJ-H)

37 6938 simulated annealing (AG-TJ-H)

38 7062 simulated annealing (AG-TJ-H)

39 7158 simulated annealing (AG-TJ-H)

41 7343 simulated annealing (AG-TJ-H)

42 7450 simulated annealing (AG-TJ-H)

43 7660 simulated annealing (AG-TJ-H)

44 7704 simulated annealing (AG-TJ-H)

45 7771 simulated annealing (AG-TJ-H)

46 7927 simulated annealing (AG-TJ-H)

47 8005 simulated annealing (AG-TJ-H)

48 8087 simulated annealing (AG-TJ-H)

49 8169 simulated annealing (AG-TJ-H)

50 8243 simulated annealing (AG-TJ-H)

51 8327 simulated annealing (AG-TJ-H)

52 11333 Add 1 factors

53 13169 Add 2 factors

54 14303 Add 3 factors

55 17345 Add 3 factors

56 19181 Add 3 factors

57 20333 Add 3 factors

58 23447 Add 3 factors

71 23601 Power CZ2-13.6-11.7-12.0

72 24333 Power CZ2-13.6-11.6-12.1

73 24851 Power CZ2-13.7-11.6-12.0

74 25065 Power CZ2-13.6-11.5-12.2

76 25583 Power CZ2-13.7-11.5-12.1

77 25797 Power CZ2-13.6-11.4-12.3

79 26123 Power CZ2-13.8-11.5-12.0

80 26315 Power CZ2-13.7-11.4-12.2

81 26529 Power CZ2-13.6-11.3-12.4

84 26855 Power CZ2-13.8-11.4-12.1

85 27047 Power CZ2-13.7-11.3-12.3

86 27261 Power CZ2-13.6-11.2-12.5

89 27395 Power CZ2-13.9-11.4-12.0

90 27587 Power CZ2-13.8-11.3-12.2

91 27779 Power CZ2-13.7-11.2-12.4

92 27993 Power CZ2-13.6-12.6-11.1

96 28127 Power CZ2-13.9-12.1-11.3

97 28319 Power CZ2-13.8-12.3-11.2

98 28511 Power CZ2-13.7-12.5-11.1

103 28667 Power CZ2-13.10-12.0-11.3

104 28859 Power CZ2-13.9-12.2-11.2

105 29051 Power CZ2-13.8-12.4-11.1

106 29243 Power CZ2-13.7-12.6

112 29399 Power CZ2-13.10-12.1-11.2

113 29591 Power CZ2-13.9-12.3-11.1

114 29783 Power CZ2-13.8-12.5

121 29939 Power CZ2-13.11-11.1-11.1

122 30131 Power CZ2-13.10-12.2-11.1

123 30323 Power CZ2-13.9-12.4

132 30671 Power CZ2-13.11-11.1-12.1

133 30863 Power CZ2-13.10-12.3

143 31211 Power CZ2-13.12-11.1

144 31403 Power CZ2-13.11-12.1-12.1

156 31943 Power CZ2-13.12-12.1

169 32483 Power CZ2-13.13

170 35232 Power CZ2-14.13

171 39043 Power CZ2-15.13

176 39945 Power CZ2-16.12-11.1

180 40410 Power CZ2-16.11-12.1-15.1

182 40599 Power CZ2-16.11-13.1-14.1

184 40608 Power CZ2-16.10-15.1-14.2

185 40631 Power CZ2-16.9-15.3-14.1

192 40677 Power CZ2-16.12-12.1

195 40860 Power CZ2-16.11-13.1-15.1

197 40869 Power CZ2-16.10-15.2-14.1

198 40947 Power CZ2-16.9-15.4

208 41127 Power CZ2-16.12-13.1

210 41136 Power CZ2-16.11-14.1-15.1

211 41159 Power CZ2-16.10-15.3

225 41397 Power CZ2-16.11-15.1-15.1

240 41664 Power CZ2-16.12-15.1

256 41931 Power CZ2-16.13

272 44750 Power CZ2-17.12-16.1

289 45090 Power CZ2-17.13

290 47554 Power CZ2-18.13

291 49384 Power CZ2-19.9-18.4

304 49491 Power CZ2-19.12-16.1

307 49590 Power CZ2-19.10-18.3

324 49796 Power CZ2-19.11-18.1-18.1

342 50010 Power CZ2-19.12-18.1

361 50224 Power CZ2-19.13

362 54167 Power CZ2-20.13

363 56856 Power CZ2-21.13

364 59025 Power CZ2-22.13

367 59955 Power CZ2-23.8-22.4-19.1

370 59995 Power CZ2-23.7-22.5-20.1

373 60025 Power CZ2-23.5-22.8

380 60145 Power CZ2-23.11-19.1-20.1

383 60164 Power CZ2-23.9-22.3-19.1

386 60204 Power CZ2-23.8-22.4-20.1

389 60234 Power CZ2-23.6-22.7

400 60373 Power CZ2-23.10-22.2-19.1

403 60413 Power CZ2-23.9-22.3-20.1

406 60443 Power CZ2-23.7-22.6

418 60593 Power CZ2-23.11-19.1-22.1

421 60622 Power CZ2-23.10-22.2-20.1

424 60652 Power CZ2-23.8-22.5

440 60831 Power CZ2-23.11-20.1-22.1

443 60861 Power CZ2-23.9-22.4

463 61070 Power CZ2-23.10-22.3

484 61279 Power CZ2-23.11-22.1-22.1

506 61566 Power CZ2-23.12-22.1

529 61853 Power CZ2-23.13

530 63995 Power CZ2-24.13

531 65237 Power CZ2-25.9-24.4

550 65249 Power CZ2-25.12-22.1

552 65343 Power CZ2-25.11-23.1-24.1

553 65375 Power CZ2-25.10-24.3

575 65510 Power CZ2-25.12-23.1

576 65537 Power CZ2-25.11-24.1-24.1

600 65704 Power CZ2-25.12-24.1

625 65871 Power CZ2-25.13

626 69602 Power CT25^2+1

627 70736 Power CT27^2Arc(4)

648 70794 Power CT27^2T3

650 70813 Power CT27^2T2T1

651 70862 Power CT27^2Arc(3)

675 70939 Power CT27^2T2

676 70988 Power CT27^2T1T1

702 71114 Power CT27^2T1

729 71240 Power CT27^2

730 73190 Power CT27^2+1

731 74324 Power CT29^2Arc(4)

756 74426 Power CT29^2T2T1

757 74450 Power CT29^2Arc(3)

783 74552 Power CT29^2T2

784 74576 Power CT29^2T1T1

812 74702 Power CT29^2T1

841 74828 Power CT29^2

842 76466 Power CT29^2+1

843 79724 Power CT31^2Arc(4)

871 80086 Power CT31^2Arc(3)

900 80448 Power CT31^2T1T1

930 80810 Power CT31^2T1

961 81172 Power CT31^2

992 82408 Power CT32^2T1

1024 82511 Power CT32^2

1025 83980 Power CT32^2+1

1026 85566 Power CT32^2+2

1027 87620 Power CT32^2+3

1028 88803 Power CT32^2 +4

1036 88874 Power CT37^2T9

1044 88894 Power CT37^2T8T1

1051 88914 Power CT37^2Arc(2)T7

1073 89000 Power CT37^2T8

1080 89020 Power CT37^2T7T1

1110 89126 Power CT37^2T7

1122 89349 Power CT37^2T4T3

1125 89365 Power CT37^2Trin1,3,3

1128 89402 Power CT37^2Arc(4)T3

1131 89439 Power CT37^2Arc(7)

1156 89471 Power CT37^2T3T3

1159 89508 Power CT37^2Arc(3)T3

1162 89545 Power CT37^2Arc(6)

1184 89591 Power CT37^2T5

1188 89598 Power CT37^2T4T1

1191 89614 Power CT37^2Arc(2)T3

1194 89651 Power CT37^2Arc(5)

1221 89704 Power CT37^2T4

1224 89720 Power CT37^2T3T1

1227 89757 Power CT37^2Arc(4)

1258 89826 Power CT37^2T3

1261 89863 Power CT37^2Arc(3)

1296 89969 Power CT37^2T1T1

1332 90075 Power CT37^2T1

1369 90181 Power CT37^2

1370 91793 Power CT37^2+1

1371 93041 Power CT37^2+2

1373 94671 Power CT41^2Arc(6):2 twos,0 ones 4 ext

1394 94686 Power CT41^2T7

1404 94750 Power CT41^2T5T2

1406 94760 Power CT41^2T4T3

1410 94795 Power CT41^2Arc(6):2 twos,0 ones 3 ext

1435 94844 Power CT41^2T6

1443 94856 Power CT41^2T4T2

1444 94884 Power CT41^2T3T3

1447 94891 Power CT41^2Arc(6):3 twos,0 ones

1476 94935 Power CT41^2T5

1482 94980 Power CT41^2T3T2

1517 95041 Power CT41^2T4

1521 95076 Power CT41^2T2T2

1558 95165 Power CT41^2T3

1599 95261 Power CT41^2T2

1681 95446 Power CT41^2

1682 96837 Power CT41^2+1

1683 98727 Power CT43^2Arc(4)

1723 98937 Power CT43^2Arc(3)

1764 99147 Power CT43^2T1T1

1806 99357 Power CT43^2T1

1849 99567 Power CT43^2

1936 100122 Power CZ3-25.22-11.1-11.1-16.1

2057 100462 Power CZ3-25.22-11.1-11.1-17.1

2178 100641 Power CZ3-25.22-11.1-11.1-18.1

2299 100855 Power CZ3-25.22-11.1-11.1-19.1

2310 101081 Power CZ3-25.22-11.1-14.1-15.1

2420 101093 Power CZ3-25.22-11.1-11.1-20.1

2475 101336 Power CZ3-25.22-11.1-15.1-15.1

2541 101351 Power CZ3-25.22-11.1-11.1-21.1

2662 101541 Power CZ3-25.22-11.1-11.1-22.1

2721 101711 Power CZ3-25.0-24.2-23.23

2783 101802 Power CZ3-25.22-11.1-11.1-23.1

2839 101870 Power CZ3-25.0-24.3-23.22

2904 101996 Power CZ3-25.22-11.1-11.1-24.1

2962 102029 Power CZ3-25.0-24.4-23.21

2970 102122 Power CZ3-25.22-11.1-15.1-18.1

3025 102163 Power CZ3-25.23-11.1-11.1

3090 102188 Power CZ3-25.0-24.5-23.20

3311 102270 Power CZ3-25.0-24.24-11.1

3333 102408 Power CZ3-25.1-24.23-11.1

3364 102508 Power CZ3-25.0-24.7-23.18

3366 102546 Power CZ3-25.2-24.22-11.1

3385 102646 Power CZ3-25.1-24.6-23.18

3510 102669 Power CZ3-25.0-24.8-23.17

3532 102807 Power CZ3-25.1-24.7-23.17

3662 102830 Power CZ3-25.0-24.9-23.16

3685 102968 Power CZ3-25.1-24.8-23.16

3821 102998 Power CZ3-25.0-24.10-23.15

3845 103136 Power CZ3-25.1-24.9-23.15

3987 103166 Power CZ3-25.0-24.11-23.14

4012 103304 Power CZ3-25.1-24.10-23.14

4160 103336 Power CZ3-25.0-24.12-23.13

4186 103474 Power CZ3-25.1-24.11-23.13

4214 103527 Power CZ3-25.0-24.24-14.1

4340 103535 Power CZ3-25.0-24.13-23.12

4368 103673 Power CZ3-25.1-24.12-23.12

4528 103734 Power CZ3-25.0-24.14-23.11

4557 103872 Power CZ3-25.1-24.13-23.11

4724 103933 Power CZ3-25.0-24.15-23.10

5000 103951 Power CZ3-25.19-20.5-20.1

5100 104136 Power CZ3-25.19-20.5-21.1

5200 104322 Power CZ3-25.19-20.5-22.1

5300 104503 Power CZ3-25.19-20.5-23.1

5366 104530 Power CZ3-25.0-24.18-23.7

5418 104568 Power CZ3-25.0-24.24-18.1

5454 104706 Power CZ3-25.1-24.23-18.1

5599 104729 Power CZ3-25.0-24.19-23.6

5719 104782 Power CZ3-25.0-24.24-19.1

5757 104920 Power CZ3-25.1-24.23-19.1

5842 104928 Power CZ3-25.0-24.20-23.5

6020 105020 Power CZ3-25.0-24.24-20.1

6095 105127 Power CZ3-25.0-24.21-23.4

6135 105265 Power CZ3-25.1-24.20-23.4

6321 105278 Power CZ3-25.0-24.24-21.1

6359 105326 Power CZ3-25.0-24.22-23.3

6363 105416 Power CZ3-25.1-24.23-21.1

6401 105464 Power CZ3-25.1-24.21-23.3

6622 105468 Power CZ3-25.0-24.24-22.1

6635 105525 Power CZ3-25.0-24.23-23.2

6666 105606 Power CZ3-25.1-24.23-22.1

6679 105663 Power CZ3-25.1-24.22-23.2

6923 105724 Power CZ3-25.0-24.24-23.1

6969 105862 Power CZ3-25.1-24.23-23.1

7224 105923 Power CZ3-25.0-24.25

7272 106061 Power CZ3-25.1-24.24

7344 106199 Power CZ3-25.2-24.23

7360 106271 Power CZ3-25.22-16.1-20.1-23.1

7400 106329 Power CZ3-25.21-20.3-23.1

7440 106337 Power CZ3-25.3-24.22

7452 106338 Power CZ3-25.22-18.1-18.1-23.1

7500 106365 Power CZ3-25.23-15.1-20.1

7524 106371 Power CZ3-25.22-18.1-19.1-22.1

7600 106389 Power CZ3-25.22-19.1-20.1-20.1

7680 106470 Power CZ3-25.22-16.1-20.1-24.1

7700 106528 Power CZ3-25.21-20.3-24.1

7728 106529 Power CZ3-25.22-16.1-21.1-23.1

7776 106537 Power CZ3-25.22-18.1-18.1-24.1

7866 106552 Power CZ3-25.22-18.1-19.1-23.1

7942 106585 Power CZ3-25.22-19.1-19.1-22.1

8000 106632 Power CZ3-25.23-16.1-20.1

8100 106699 Power CZ3-25.23-18.1-18.1

8208 106751 Power CZ3-25.22-18.1-19.1-24.1

8303 106766 Power CZ3-25.22-19.1-19.1-23.1

8360 106823 Power CZ3-25.22-19.1-20.1-22.1

8400 106875 Power CZ3-25.22-20.1-20.1-21.1

8550 106913 Power CZ3-25.23-18.1-19.1

8664 106965 Power CZ3-25.22-19.1-19.1-24.1

8740 107004 Power CZ3-25.22-19.1-20.1-23.1

8800 107061 Power CZ3-25.22-20.1-20.1-22.1

9025 107127 Power CZ3-25.23-19.1-19.1

9120 107203 Power CZ3-25.22-19.1-20.1-24.1

9200 107242 Power CZ3-25.22-20.1-20.1-23.1

9240 107319 Power CZ3-25.22-20.1-21.1-22.1

9500 107365 Power CZ3-25.23-19.1-20.1

9504 107437 Power CZ3-25.22-18.1-22.1-24.1

9600 107441 Power CZ3-25.22-20.1-20.1-24.1

9614 107452 Power CZ3-25.22-19.1-22.1-23.1

9660 107500 Power CZ3-25.22-20.1-21.1-23.1

9680 107509 Power CZ3-25.22-20.1-22.1-22.1

9702 107577 Power CZ3-25.22-21.1-21.1-22.1

9900 107599 Power CZ3-25.23-18.1-22.1

10000 107603 Power CZ3-25.23-20.1-20.1

Graph: