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

Last Updated Fri Mar 27 17:29:25 MST 2015

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).

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k N Source

7 729 orthogonal array

8 1134 Torres-Jimenez

9 1431 Walker-Colbourn postop NCK

11 1449 Walker-Colbourn

12 2181 Walker-Colbourn

13 2720 Density (Colbourn) postop NCK

14 2907 Walker-Colbourn

15 3216 Density (Colbourn) postop NCK

16 3433 Density (Colbourn) postop NCK

17 3653 Density (Colbourn) postop NCK

18 3839 Density (Colbourn) postop NCK

19 4050 Density (Colbourn) postop NCK

20 4359 Density Mult Cyclic (Colbourn) postop NCK

21 4534 Density Mult Cyclic (Colbourn) postop NCK

22 4699 Density Mult Cyclic (Colbourn) postop NCK

23 4854 Density Mult Cyclic (Colbourn) postop NCK

24 5032 Density Mult Cyclic (Colbourn) postop NCK

25 5178 Density Mult Cyclic (Colbourn) postop NCK

26 5351 Density Mult Cyclic (Colbourn) postop NCK

27 5478 Density Mult Cyclic (Colbourn) postop NCK

28 5631 Density Mult Cyclic (Colbourn)

29 5757 Density Mult Cyclic (Colbourn)

30 5883 Density Mult Cyclic (Colbourn)

31 6245 IPOGF postop FSGF (R-C+T-J)

32 6348 IPOGF postop FSGF (R-C+T-J)

33 6461 IPOGF postop FSGF (R-C+T-J)

34 6583 IPOGF postop FSGF (R-C+T-J)

35 6715 IPOGF postop FSGF (R-C+T-J)

36 6832 IPOGF postop FSGF (R-C+T-J)

37 6932 IPOGF postop FSGF (R-C+T-J)

38 7036 IPOGF postop FSGF (R-C+T-J)

39 7131 IPOGF postop FSGF (R-C+T-J)

40 7233 IPOGF postop FSGF (R-C+T-J)

41 7315 IPOGF postop FSGF (R-C+T-J)

42 7411 IPOGF postop FSGF (R-C+T-J)

43 7506 IPOGF postop FSGF (R-C+T-J)

44 7600 IPOGF postop FSGF (R-C+T-J)

45 7702 IPOGF postop FSGF (R-C+T-J)

46 7766 IPOGF postop FSGF (R-C+T-J)

47 7856 IPOGF postop FSGF (R-C+T-J)

48 8087 simulated annealing (AG-TJ-H)

50 8108 IPOGF postop FSGF (R-C+T-J)

51 8179 IPOGF postop FSGF (R-C+T-J)

52 11185 Add 1 factors

53 13021 Add 2 factors

54 14155 Add 3 factors

55 17197 Add 3 factors

56 19033 Add 3 factors

57 20185 Add 3 factors

58 23299 Add 3 factors

71 23563 Power CZ2-13.6-11.7-12.0

72 24295 Power CZ2-13.6-11.6-12.1

73 24813 Power CZ2-13.7-11.6-12.0

74 25027 Power CZ2-13.6-11.5-12.2

76 25545 Power CZ2-13.7-11.5-12.1

77 25759 Power CZ2-13.6-11.4-12.3

79 26084 Power CZ2-13.8-11.5-12.0

80 26277 Power CZ2-13.7-11.4-12.2

81 26491 Power CZ2-13.6-11.3-12.4

84 26816 Power CZ2-13.8-11.4-12.1

85 27009 Power CZ2-13.7-11.3-12.3

86 27223 Power CZ2-13.6-11.2-12.5

89 27355 Power CZ2-13.9-11.4-12.0

90 27548 Power CZ2-13.8-11.3-12.2

91 27741 Power CZ2-13.7-11.2-12.4

92 27955 Power CZ2-13.6-12.6-11.1

96 28087 Power CZ2-13.9-12.1-11.3

97 28280 Power CZ2-13.8-12.3-11.2

98 28473 Power CZ2-13.7-12.5-11.1

103 28626 Power CZ2-13.10-12.0-11.3

104 28819 Power CZ2-13.9-12.2-11.2

105 29012 Power CZ2-13.8-12.4-11.1

106 29205 Power CZ2-13.7-12.6

112 29358 Power CZ2-13.10-12.1-11.2

113 29551 Power CZ2-13.9-12.3-11.1

114 29744 Power CZ2-13.8-12.5

121 29897 Power CZ2-13.11-11.1-11.1

122 30090 Power CZ2-13.10-12.2-11.1

123 30283 Power CZ2-13.9-12.4

132 30629 Power CZ2-13.11-11.1-12.1

133 30822 Power CZ2-13.10-12.3

143 31168 Power CZ2-13.12-11.1

144 31361 Power CZ2-13.11-12.1-12.1

156 31900 Power CZ2-13.12-12.1

169 32439 Power CZ2-13.13

170 35109 Power CZ2-14.13

171 38806 Power CZ2-15.13

176 39683 Power CZ2-16.12-11.1

180 40171 Power CZ2-16.11-12.1-15.1

182 40370 Power CZ2-16.11-13.1-14.1

184 40371 Power CZ2-16.10-15.1-14.2

192 40415 Power CZ2-16.12-12.1

196 40615 Power CZ2-16.11-14.1-14.1

197 40665 Power CZ2-16.10-15.2-14.1

198 40742 Power CZ2-16.9-15.4

208 40896 Power CZ2-16.12-13.1

210 40897 Power CZ2-16.11-14.1-15.1

211 40959 Power CZ2-16.10-15.3

224 41141 Power CZ2-16.12-14.1

225 41191 Power CZ2-16.11-15.1-15.1

240 41423 Power CZ2-16.12-15.1

256 41667 Power CZ2-16.13

272 44274 Power CZ2-17.12-16.1

289 44500 Power CZ2-17.13

290 46994 Power CZ2-18.13

291 48754 Power CZ2-19.9-18.4

307 48965 Power CZ2-19.10-18.3

324 49176 Power CZ2-19.11-18.1-18.1

342 49387 Power CZ2-19.12-18.1

361 49598 Power CZ2-19.13

362 53074 Power CZ2-20.13

363 55373 Power CZ2-21.13

364 57513 Power CZ2-22.13

367 58126 Power CZ2-23.8-22.4-19.1

368 58193 Power CZ2-23.12-16.1

370 58240 Power CZ2-23.7-22.5-20.1

374 58246 Power CZ2-23.11-17.1-22.1

379 58261 Power CZ2-23.10-22.2-18.1

380 58281 Power CZ2-23.11-19.1-20.1

383 58296 Power CZ2-23.9-22.3-19.1

386 58409 Power CZ2-23.8-22.4-20.1

391 58418 Power CZ2-23.12-17.1

396 58433 Power CZ2-23.11-18.1-22.1

400 58466 Power CZ2-23.10-22.2-19.1

403 58579 Power CZ2-23.9-22.3-20.1

406 58597 Power CZ2-23.7-22.6

414 58605 Power CZ2-23.12-18.1

418 58638 Power CZ2-23.11-19.1-22.1

421 58749 Power CZ2-23.10-22.2-20.1

424 58766 Power CZ2-23.8-22.5

437 58810 Power CZ2-23.12-19.1

440 58921 Power CZ2-23.11-20.1-22.1

443 58936 Power CZ2-23.9-22.4

460 59093 Power CZ2-23.12-20.1

463 59106 Power CZ2-23.10-22.3

484 59278 Power CZ2-23.11-22.1-22.1

506 59450 Power CZ2-23.12-22.1

529 59622 Power CZ2-23.13

530 61786 Power CZ2-24.13

531 63109 Power CZ2-25.9-24.4

550 63240 Power CZ2-25.12-22.1

552 63245 Power CZ2-25.11-23.1-24.1

553 63261 Power CZ2-25.10-24.3

575 63399 Power CZ2-25.12-23.1

576 63415 Power CZ2-25.11-24.1-24.1

600 63569 Power CZ2-25.12-24.1

625 63723 Power CZ2-25.13

626 65775 Power CZ2-26.13

627 66901 Power CZ2-27.9-26.4

650 67027 Power CZ2-27.11-25.1-26.1

651 67039 Power CZ2-27.10-26.3

676 67177 Power CZ2-27.11-26.1-26.1

702 67327 Power CZ2-27.12-26.1

729 67477 Power CZ2-27.13

730 73190 Power CT27^2+1

731 74324 Power CT29^2Arc(4)

754 74422 Power CT29^2T3

756 74423 Power CT29^2T2T1

757 74450 Power CT29^2Arc(3)

783 74549 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 87282 Power CT32^2+3

1036 88802 Power CT37^2T9

1044 88828 Power CT37^2T8T1

1050 88837 Power CT37^2T7T2

1051 88854 Power CT37^2Arc(2)T7

1073 88928 Power CT37^2T8

1080 88954 Power CT37^2T7T1

1110 89054 Power CT37^2T7

1122 89283 Power CT37^2T4T3

1125 89305 Power CT37^2Trin1,3,3

1126 89320 Power CT37^2Arc(6):2 twos,0 ones 3 ext

1127 89337 Power CT37^2Arc(8):1 twos,2 ones 3 ext

1128 89352 Power CT37^2Arc(8):3 twos,1 ones

1129 89369 Power CT37^2Arc(10):2 twos,3 ones

1130 89386 Power CT37^2Arc(5)T2

1131 89403 Power CT37^2Arc(7)

1156 89405 Power CT37^2T3T3

1158 89437 Power CT37^2Arc(6):1 twos,1 ones 3 ext

1159 89452 Power CT37^2Arc(6):3 twos,0 ones

1160 89469 Power CT37^2Arc(8):2 twos,2 ones

1161 89486 Power CT37^2Arc(4)T2

1162 89503 Power CT37^2Arc(6)

1184 89519 Power CT37^2T5

1188 89532 Power CT37^2T4T1

1190 89537 Power CT37^2T3T2

1191 89554 Power CT37^2Arc(2)T3

1192 89569 Power CT37^2Arc(6):2 twos,1 ones

1193 89586 Power CT37^2Arc(3)T2

1194 89603 Power CT37^2Arc(5)

1221 89632 Power CT37^2T4

1224 89654 Power CT37^2T3T1

1225 89669 Power CT37^2T2T2

1226 89686 Power CT37^2Arc(2)T2

1227 89703 Power CT37^2Arc(4)

1258 89754 Power CT37^2T3

1260 89786 Power CT37^2T2T1

1261 89803 Power CT37^2Arc(3)

1295 89886 Power CT37^2T2

1296 89903 Power CT37^2T1T1

1332 90003 Power CT37^2T1

1369 90103 Power CT37^2

1370 91455 Power CT37^2+1

1371 92690 Power CT37^2+2

1372 94016 Power CT37^2+3

1373 94331 Power CT41^2Arc(6):2 twos,0 ones 4 ext

1374 94340 Power CT41^2Trin2,3,3

1377 94346 Power CT41^2Arc(8):4 twos,0 ones

1394 94350 Power CT41^2T7

1400 94400 Power CT41^2T6T1

1404 94415 Power CT41^2T5T2

1406 94420 Power CT41^2T4T3

1408 94433 Power CT41^2Arc(6):1 twos,1 ones 4 ext

1410 94435 Power CT41^2Arc(6):2 twos,0 ones 3 ext

1412 94448 Power CT41^2Arc(8):3 twos,1 ones

1413 94468 Power CT41^2Arc(10):2 twos,3 ones

1435 94482 Power CT41^2T6

1443 94515 Power CT41^2T4T2

1444 94524 Power CT41^2T3T3

1447 94530 Power CT41^2Arc(6):3 twos,0 ones

1448 94550 Power CT41^2Arc(8):2 twos,2 ones

1449 94570 Power CT41^2Arc(4)T2

1450 94590 Power CT41^2Arc(6)

1476 94599 Power CT41^2T5

1480 94617 Power CT41^2T4T1

1482 94619 Power CT41^2T3T2

1484 94632 Power CT41^2Arc(6):2 twos,1 ones

1485 94652 Power CT41^2Arc(3)T2

1486 94672 Power CT41^2Arc(5)

1517 94699 Power CT41^2T4

1521 94714 Power CT41^2T2T2

1522 94734 Power CT41^2Arc(2)T2

1523 94754 Power CT41^2Arc(4)

1558 94803 Power CT41^2T3

1560 94816 Power CT41^2T2T1

1561 94836 Power CT41^2Arc(3)

1599 94898 Power CT41^2T2

1600 94918 Power CT41^2T1T1

1640 95000 Power CT41^2T1

1681 95082 Power CT41^2

1682 96330 Power CT41^2+1

1683 97185 Power CT43^2Arc(4)

1722 97279 Power CT43^2T2T1

1723 97280 Power CT43^2Arc(3)

1763 97374 Power CT43^2T2

1764 97375 Power CT43^2T1T1

1806 97470 Power CT43^2T1

1849 97565 Power CT43^2

1850 98787 Power CT43^2+1

1851 100113 Power CT43^2+2

1852 100945 Power CT43^2+3

1861 101395 Power CT47^2Arc(8)

1886 101484 Power CT47^2T6T1

1901 101485 Power CT47^2Arc(7)

1927 101574 Power CT47^2T6

1942 101575 Power CT47^2Arc(6)

1984 101665 Power CT47^2Arc(5)

2027 101755 Power CT47^2Arc(4)

2071 101845 Power CT47^2Arc(3)

2116 101935 Power CT47^2T1T1

2162 102025 Power CT47^2T1

2209 102115 Power CT47^2

2254 105049 Power CT49^2T3

2256 105118 Power CT49^2T2T1

2303 105139 Power CT49^2T2

2304 105349 Power CT49^2T1T1

2352 105370 Power CT49^2T1

2402 105391 Power CT49^2+1

2403 106314 Power CT49^2+2

2420 113970 Power CZ3-25.22-11.1-11.1-20.1

2541 114160 Power CZ3-25.22-11.1-11.1-21.1

2662 114327 Power CZ3-25.22-11.1-11.1-22.1

2783 114486 Power CZ3-25.22-11.1-11.1-23.1

2904 114656 Power CZ3-25.22-11.1-11.1-24.1

3025 114810 Power CZ3-25.23-11.1-11.1

3311 114957 Power CZ3-25.0-24.24-11.1

3333 115102 Power CZ3-25.1-24.23-11.1

3366 115247 Power CZ3-25.2-24.22-11.1

3410 115393 Power CZ3-25.3-24.21-11.1

3465 115539 Power CZ3-25.4-24.20-11.1

3510 115618 Power CZ3-25.0-24.8-23.17

3531 115685 Power CZ3-25.5-24.19-11.1

3612 115689 Power CZ3-25.0-24.24-12.1

3662 115775 Power CZ3-25.0-24.9-23.16

3685 115925 Power CZ3-25.1-24.8-23.16

3821 115932 Power CZ3-25.0-24.10-23.15

3845 116082 Power CZ3-25.1-24.9-23.15

3987 116089 Power CZ3-25.0-24.11-23.14

4012 116239 Power CZ3-25.1-24.10-23.14

4160 116246 Power CZ3-25.0-24.12-23.13

4186 116396 Power CZ3-25.1-24.11-23.13

4340 116414 Power CZ3-25.0-24.13-23.12

4368 116559 Power CZ3-25.1-24.12-23.12

4528 116582 Power CZ3-25.0-24.14-23.11

4557 116727 Power CZ3-25.1-24.13-23.11

4724 116760 Power CZ3-25.0-24.15-23.10

4755 116905 Power CZ3-25.1-24.14-23.10

4929 116938 Power CZ3-25.0-24.16-23.9

4961 117083 Power CZ3-25.1-24.15-23.9

5143 117116 Power CZ3-25.0-24.17-23.8

5176 117261 Power CZ3-25.1-24.16-23.8

5366 117294 Power CZ3-25.0-24.18-23.7

5418 117347 Power CZ3-25.0-24.24-18.1

5599 117472 Power CZ3-25.0-24.19-23.6

5719 117558 Power CZ3-25.0-24.24-19.1

5842 117650 Power CZ3-25.0-24.20-23.5

5880 117795 Power CZ3-25.1-24.19-23.5

6095 117828 Power CZ3-25.0-24.21-23.4

6135 117973 Power CZ3-25.1-24.20-23.4

6359 118006 Power CZ3-25.0-24.22-23.3

6401 118151 Power CZ3-25.1-24.21-23.3

6635 118184 Power CZ3-25.0-24.23-23.2

6679 118329 Power CZ3-25.1-24.22-23.2

6923 118362 Power CZ3-25.0-24.24-23.1

6969 118507 Power CZ3-25.1-24.23-23.1

7224 118540 Power CZ3-25.0-24.25

7272 118685 Power CZ3-25.1-24.24

7344 118830 Power CZ3-25.2-24.23

7440 118976 Power CZ3-25.3-24.22

7560 119122 Power CZ3-25.4-24.21

7704 119268 Power CZ3-25.5-24.20

7728 119382 Power CZ3-25.7-24.17-23.1

7872 119414 Power CZ3-25.6-24.19

7935 119528 Power CZ3-25.8-24.16-23.1

7942 119529 Power CZ3-25.22-19.1-19.1-22.1

8064 119560 Power CZ3-25.7-24.18

8100 119590 Power CZ3-25.23-18.1-18.1

8208 119647 Power CZ3-25.22-18.1-19.1-24.1

8303 119688 Power CZ3-25.22-19.1-19.1-23.1

8332 119788 Power CZ3-25.11-24.12-23.2

8550 119801 Power CZ3-25.23-18.1-19.1

8664 119858 Power CZ3-25.22-19.1-19.1-24.1

8694 119955 Power CZ3-25.22-18.1-21.1-23.1

8712 119963 Power CZ3-25.22-18.1-22.1-22.1

8740 119976 Power CZ3-25.22-19.1-20.1-23.1

8750 119997 Power CZ3-25.24-14.1

8784 119998 Power CZ3-25.10-24.15

8820 120005 Power CZ3-25.18-24.6-18.1

9025 120012 Power CZ3-25.23-19.1-19.1

9108 120122 Power CZ3-25.22-18.1-22.1-23.1

9120 120146 Power CZ3-25.22-19.1-20.1-24.1

9180 120159 Power CZ3-25.19-24.5-18.1

9196 120174 Power CZ3-25.22-19.1-22.1-22.1

9200 120199 Power CZ3-25.23-16.1-23.1

9216 120215 Power CZ3-25.22-24.2-16.1

9310 120216 Power CZ3-25.18-24.6-19.1

9350 120260 Power CZ3-25.23-17.1-22.1

9384 120265 Power CZ3-25.22-17.1-23.1-24.1

9450 120279 Power CZ3-25.23-18.1-21.1

9522 120281 Power CZ3-25.22-18.1-23.1-23.1

9558 120313 Power CZ3-25.20-24.4-18.1

9614 120333 Power CZ3-25.22-19.1-22.1-23.1

9690 120370 Power CZ3-25.19-24.5-19.1

9775 120419 Power CZ3-25.23-17.1-23.1

9792 120435 Power CZ3-25.22-24.2-17.1

9900 120446 Power CZ3-25.23-18.1-22.1

9936 120451 Power CZ3-25.22-18.1-23.1-24.1

9954 120467 Power CZ3-25.21-24.3-18.1

9975 120490 Power CZ3-25.23-19.1-21.1

10000 120492 Power CZ3-25.22-19.1-23.1-23.1

Graph: