Table for CAN(6,k,2) for k up to 10000

Last Updated Wed Mar 9 06:22:05 MST 2022

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 tower (TJ-IM-K-K) 16 179 Torres-Jimenez 17 235 Torres-Jimenez 18 260 SBSTT (TJ-AG) 19 285 SBSTT (TJ-AG) 20 300 SBSTT (TJ-AG) 21 318 SBSTT (TJ-AG) 22 330 SBSTT (TJ-AG) 23 350 SBSTT (TJ-AG) 24 357 SBSTT (TJ-AG) 25 375 SBSTT (TJ-AG) 26 383 SBSTT (TJ-AG) 27 404 SBSTT (TJ-AG) 28 415 SBSTT (TJ-AG) 29 426 SBSTT (TJ-AG) 30 440 SIPO (Wagner-Kampel-Simos) 31 452 SIPO (Wagner-Kampel-Simos) 32 461 SIPO (Wagner-Kampel-Simos) 33 470 SIPO (Wagner-Kampel-Simos) 34 479 SIPO (Wagner-Kampel-Simos) 35 487 SIPO (Wagner-Kampel-Simos) 36 495 SIPO (Wagner-Kampel-Simos) 37 506 SIPO (Wagner-Kampel-Simos) 38 512 SIPO (Wagner-Kampel-Simos) 39 518 SIPO (Wagner-Kampel-Simos) 40 527 SIPO (Wagner-Kampel-Simos) 41 534 SIPO (Wagner-Kampel-Simos) 42 541 SIPO (Wagner-Kampel-Simos) 43 553 SIPO (Wagner-Kampel-Simos) 44 561 SIPO (Wagner-Kampel-Simos) 45 566 SIPO (Wagner-Kampel-Simos) 46 573 SIPO (Wagner-Kampel-Simos) 47 581 SIPO (Wagner-Kampel-Simos) 48 586 SIPO (Wagner-Kampel-Simos) 49 592 SIPO (Wagner-Kampel-Simos) 50 599 SIPO (Wagner-Kampel-Simos) 51 605 SIPO (Wagner-Kampel-Simos) 52 612 SIPO (Wagner-Kampel-Simos) 53 615 SIPO (Wagner-Kampel-Simos) 54 623 SIPO (Wagner-Kampel-Simos) 55 628 SIPO (Wagner-Kampel-Simos) 56 634 SIPO (Wagner-Kampel-Simos) 57 640 SIPO (Wagner-Kampel-Simos) 58 644 SIPO (Wagner-Kampel-Simos) 59 651 SIPO (Wagner-Kampel-Simos) 60 660 SIPO (Wagner-Kampel-Simos) 61 666 SIPO (Wagner-Kampel-Simos) 62 672 SIPO (Wagner-Kampel-Simos) 63 677 SIPO (Wagner-Kampel-Simos) 64 680 SIPO (Wagner-Kampel-Simos) 65 685 SIPO (Wagner-Kampel-Simos) 66 688 SIPO (Wagner-Kampel-Simos) 67 695 SIPO (Wagner-Kampel-Simos) 68 699 SIPO (Wagner-Kampel-Simos) 69 705 SIPO (Wagner-Kampel-Simos) 70 709 SIPO (Wagner-Kampel-Simos) 71 714 SIPO (Wagner-Kampel-Simos) 72 718 SIPO (Wagner-Kampel-Simos) 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 2752 4839 Power CT19^3T3cS18 2784 4864 Power CT19^3T3cS17 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 5321 Power CT19^3T1T1T1 6137 5344 Power CZ3-19.18-17.1 6156 5346 Power CT19^3T1T1 6498 5371 Power CT19^3T1 6859 5396 Power CT19^3 6860 5681 Power CT19^3+1 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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