Table for CAN(6,k,2) 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,2) 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 64 orthogonal array 8 85 Johnson-Entringer 9 108 Torres-Jimenez 10 116 simulated annealing (CKRS) 11 118 Torres-Jimenez 15 128 Torres-Jimenez 16 179 Torres-Jimenez 17 235 Torres-Jimenez 18 276 Torres-Jimenez 19 299 Torres-Jimenez 20 314 Torres-Jimenez 21 330 Torres-Jimenez 22 344 Torres-Jimenez 23 357 Torres-Jimenez 24 372 Torres-Jimenez 25 385 Torres-Jimenez 26 399 Torres-Jimenez 27 410 Torres-Jimenez 28 421 Torres-Jimenez 29 435 Torres-Jimenez 30 441 Torres-Jimenez 31 457 Torres-Jimenez 32 468 Torres-Jimenez 33 480 Torres-Jimenez 34 488 Torres-Jimenez 35 496 Torres-Jimenez 36 505 Torres-Jimenez 37 514 Torres-Jimenez 38 522 IPOGF postop FSGF (R-C+T-J) 39 530 IPOGF postop FSGF (R-C+T-J) 40 542 IPOGF postop FSGF (R-C+T-J) 41 547 IPOGF postop FSGF (R-C+T-J) 42 550 IPOGF postop FSGF (R-C+T-J) 44 565 IPOGF postop FSGF (R-C+T-J) 45 578 IPOGF postop FSGF (R-C+T-J) 46 588 IPOGF postop FSGF (R-C+T-J) 47 590 IPOGF postop FSGF (R-C+T-J) 48 600 IPOGF postop FSGF (R-C+T-J) 49 604 IPOGF postop FSGF (R-C+T-J) 50 612 IPOGF postop FSGF (R-C+T-J) 51 620 IPOGF postop FSGF (R-C+T-J) 53 630 IPOGF postop FSGF (R-C+T-J) 54 640 IPOGF postop FSGF (R-C+T-J) 55 645 IPOGF postop FSGF (R-C+T-J) 56 650 IPOGF postop FSGF (R-C+T-J) 57 663 IPOGF postop FSGF (R-C+T-J) 59 665 IPOGF postop FSGF (R-C+T-J) 61 675 IPOGF postop FSGF (R-C+T-J) 63 685 IPOGF postop FSGF (R-C+T-J) 65 695 IPOGF postop FSGF (R-C+T-J) 67 705 IPOGF postop FSGF (R-C+T-J) 68 710 IPOGF postop FSGF (R-C+T-J) 69 715 IPOGF postop FSGF (R-C+T-J) 360 720 Cyclic (Colbourn-Keri) 379 758 Cyclic (Colbourn-Keri) 432 862 Cyclic (Colbourn-Keri) 464 926 Cyclic (Colbourn-Keri) 468 934 Cyclic (Colbourn-Keri) 488 974 Cyclic (Colbourn-Keri) 492 982 Cyclic (Colbourn-Keri) 500 998 Cyclic (Colbourn-Keri) 504 1008 Cyclic (Colbourn-Keri) 510 1018 Cyclic (Colbourn-Keri) 522 1042 Cyclic (Colbourn-Keri) 1231 1231 Cyclotomy (Torres-Jimenez) 1283 1283 Cyclotomy (Torres-Jimenez) 1319 1319 Cyclotomy (Torres-Jimenez) 1361 1361 Cyclotomy (Torres-Jimenez) 1367 1367 Cyclotomy (Torres-Jimenez) 1373 1373 Cyclotomy (Torres-Jimenez) 1381 1381 Cyclotomy (Torres-Jimenez) 1423 1423 Cyclotomy (Torres-Jimenez) 1427 1427 Cyclotomy (Torres-Jimenez) 1429 1429 Cyclotomy (Torres-Jimenez) 1439 1439 Cyclotomy (Torres-Jimenez) 1447 1447 Cyclotomy (Torres-Jimenez) 1459 1459 Cyclotomy (Torres-Jimenez) 1483 1483 Cyclotomy (Torres-Jimenez) 1487 1487 Cyclotomy (Torres-Jimenez) 1493 1493 Cyclotomy (Torres-Jimenez) 1499 1499 Cyclotomy (Torres-Jimenez) 1511 1511 Cyclotomy (Torres-Jimenez) 1523 1523 Cyclotomy (Torres-Jimenez) 1549 1549 Cyclotomy (Torres-Jimenez) 1559 1559 Cyclotomy (Torres-Jimenez) 1567 1567 Cyclotomy (Torres-Jimenez) 1571 1571 Cyclotomy (Torres-Jimenez) 1579 1579 Cyclotomy (Torres-Jimenez) 1583 1583 Cyclotomy (Torres-Jimenez) 1597 1597 Cyclotomy (Torres-Jimenez) 1601 1601 Cyclotomy (Torres-Jimenez) 1607 1607 Cyclotomy (Torres-Jimenez) 1609 1609 Cyclotomy (Torres-Jimenez) 1613 1613 Cyclotomy (Torres-Jimenez) 1619 1619 Cyclotomy (Torres-Jimenez) 1621 1621 Cyclotomy (Torres-Jimenez) 1627 1627 Cyclotomy (Torres-Jimenez) 1997 1997 Cyclotomy (Torres-Jimenez) 1999 1999 Cyclotomy (Torres-Jimenez) 2003 2003 Cyclotomy (Torres-Jimenez) 2503 2503 Cyclotomy (Torres-Jimenez) 2504 3047 Add 1 factors 2505 3591 Add 1 factors 2506 4135 Add 1 factors 2507 4679 Add 1 factors 2673 4721 Power CZ3-19.15-15.4 2703 4865 Power CZ3-19.10-18.1-17.8 2730 4882 Power CZ3-19.9-18.3-17.7 2839 4889 Power CZ3-19.11-18.0-17.8 3375 4893 Power CZ3-19.16-15.1-15.1-15.1 3600 4943 Power CZ3-19.16-15.1-15.1-16.1 3840 4993 Power CZ3-19.16-15.1-16.1-16.1 4050 5041 Power CZ3-19.16-15.1-15.1-18.1 4096 5043 Power CZ3-19.16-16.1-16.1-16.1 4275 5065 Power CZ3-19.17-15.1-15.1 4320 5091 Power CZ3-19.16-15.1-16.1-18.1 4352 5100 Power CZ3-19.16-16.1-16.1-17.1 4560 5115 Power CZ3-19.17-15.1-16.1 4608 5141 Power CZ3-19.16-16.1-16.1-18.1 4624 5157 Power CZ3-19.16-16.1-17.1-17.1 4864 5165 Power CZ3-19.17-16.1-16.1 4896 5198 Power CZ3-19.16-16.1-17.1-18.1 5130 5213 Power CZ3-19.17-15.1-18.1 5168 5222 Power CZ3-19.17-16.1-17.1 5415 5237 Power CZ3-19.18-15.1 5472 5263 Power CZ3-19.17-16.1-18.1 5491 5279 Power CZ3-19.17-17.1-17.1 5776 5287 Power CZ3-19.18-16.1 5814 5320 Power CZ3-19.17-17.1-18.1 5832 5337 Power CZ3-19.16-18.3 6137 5344 Power CZ3-19.18-17.1 6156 5361 Power CZ3-19.17-18.1-18.1 6498 5385 Power CZ3-19.18-18.1 6859 5409 Power CZ3-19.19 6860 5693 Power CZ3-20.19 6861 5975 Power CZ3-21.19 6930 6245 Power CZ3-23.16-15.1-21.1-22.1 6945 6252 Power CZ3-23.15-22.3-15.1 7245 6258 Power CZ3-23.17-15.1-21.1 7260 6265 Power CZ3-23.16-22.2-15.1 7590 6278 Power CZ3-23.17-15.1-22.1 7935 6291 Power CZ3-23.18-15.1 8096 6328 Power CZ3-23.17-16.1-22.1 8464 6341 Power CZ3-23.18-16.1 8602 6385 Power CZ3-23.17-17.1-22.1 8993 6398 Power CZ3-23.18-17.1 9261 6421 Power CZ3-23.16-22.0-21.3 9282 6428 Power CZ3-23.15-22.2-21.2 9303 6435 Power CZ3-23.14-22.4-21.1 9522 6439 Power CZ3-23.18-18.1 9702 6441 Power CZ3-23.16-22.1-21.2 9723 6448 Power CZ3-23.15-22.3-21.1 10000 6454 Power CZ3-23.17-21.1-21.1

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