Table for CAN(6,k,2) 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,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 38 530 Torres-Jimenez 39 540 Torres-Jimenez 40 545 Torres-Jimenez 41 547 Torres-Jimenez 42 550 Torres-Jimenez 43 570 Torres-Jimenez 44 580 Torres-Jimenez 45 584 Torres-Jimenez 46 590 Torres-Jimenez 47 598 Torres-Jimenez 48 612 Torres-Jimenez 49 617 Torres-Jimenez 50 618 Torres-Jimenez 51 629 Torres-Jimenez 52 636 Torres-Jimenez 53 641 Torres-Jimenez 54 644 Torres-Jimenez 55 653 Torres-Jimenez 56 655 Torres-Jimenez 57 663 Torres-Jimenez 58 667 Torres-Jimenez 59 671 Torres-Jimenez 60 680 Torres-Jimenez 62 686 Torres-Jimenez 63 697 Torres-Jimenez 64 699 Torres-Jimenez 65 704 Torres-Jimenez 66 709 Torres-Jimenez 67 710 Torres-Jimenez 360 718 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 1006 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 2673 4281 Power CZ3-19.15-15.4 3375 4453 Power CZ3-19.16-15.1-15.1-15.1 3600 4503 Power CZ3-19.16-15.1-15.1-16.1 3840 4553 Power CZ3-19.16-15.1-16.1-16.1 4050 4601 Power CZ3-19.16-15.1-15.1-18.1 4096 4603 Power CZ3-19.16-16.1-16.1-16.1 4275 4625 Power CZ3-19.17-15.1-15.1 4320 4651 Power CZ3-19.16-15.1-16.1-18.1 4352 4660 Power CZ3-19.16-16.1-16.1-17.1 4560 4675 Power CZ3-19.17-15.1-16.1 4608 4701 Power CZ3-19.16-16.1-16.1-18.1 4624 4717 Power CZ3-19.16-16.1-17.1-17.1 4864 4725 Power CZ3-19.17-16.1-16.1 4896 4758 Power CZ3-19.16-16.1-17.1-18.1 5130 4773 Power CZ3-19.17-15.1-18.1 5168 4782 Power CZ3-19.17-16.1-17.1 5415 4797 Power CZ3-19.18-15.1 5472 4823 Power CZ3-19.17-16.1-18.1 5491 4839 Power CZ3-19.17-17.1-17.1 5776 4847 Power CZ3-19.18-16.1 5814 4880 Power CZ3-19.17-17.1-18.1 5832 4897 Power CZ3-19.16-18.3 6137 4904 Power CZ3-19.18-17.1 6156 4921 Power CZ3-19.17-18.1-18.1 6498 4945 Power CZ3-19.18-18.1 6859 4969 Power CZ3-19.19 6860 5244 Power CZ3-20.19 6861 5546 Power CZ3-21.19 6930 5782 Power CZ3-23.16-15.1-21.1-22.1 6945 5789 Power CZ3-23.15-22.3-15.1 7245 5795 Power CZ3-23.17-15.1-21.1 7260 5802 Power CZ3-23.16-22.2-15.1 7590 5815 Power CZ3-23.17-15.1-22.1 7935 5828 Power CZ3-23.18-15.1 8096 5865 Power CZ3-23.17-16.1-22.1 8464 5878 Power CZ3-23.18-16.1 8602 5922 Power CZ3-23.17-17.1-22.1 8993 5935 Power CZ3-23.18-17.1 9261 5958 Power CZ3-23.16-22.0-21.3 9282 5965 Power CZ3-23.15-22.2-21.2 9303 5972 Power CZ3-23.14-22.4-21.1 9522 5976 Power CZ3-23.18-18.1 9702 5978 Power CZ3-23.16-22.1-21.2 9723 5985 Power CZ3-23.15-22.3-21.1 10000 5991 Power CZ3-23.17-21.1-21.1

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