Table for CAN(2,k,15) for k up to 20000

Last Updated Sat Feb 22 09:21:55 MST 2014

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;2,k,15) 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 6 225 orthogonal array 7 246 orthogonal array fuse postop TJ-SA 8 248 orthogonal array fuse postop TJ-SA 10 249 orthogonal array fuse postop TJ-SA 11 250 orthogonal array fuse postop TJ-SA 14 251 orthogonal array fuse postop TJ-SA 17 252 orthogonal array fuse postop TJ-SA 18 255 projection (C) 19 281 projection (C) postop NCK 20 285 projection (C) postop TJ-SA 21 331 projection (C) postop NCK 22 332 projection (C) postop NCK 23 334 projection (C) postop NCK 24 335 projection (C) postop NCK 25 351 Fix 1 symbols (LCDST) 26 365 Fix 1 symbols (Colbourn) 28 376 simulated annealing (Torres-Jimenez) 32 383 Fix 4 symbols (LCDST) 33 394 Fix 4 symbols (LCDST) 34 405 Fix 4 symbols (LCDST) 36 406 Fix 5 symbols (LCDST) 37 418 Fix 5 symbols (LCDST) 38 428 Fix 5 symbols (LCDST) 39 439 Fix 5 symbols (LCDST) 40 449 Fix 5 symbols (LCDST) 102 450 Direct product 103 451 Direct product generalized 108 464 Direct product 120 465 Direct product generalized 122 472 Direct product generalized 137 473 Direct product generalized 155 474 Direct product generalized 189 475 Direct product generalized 224 476 Direct product generalized 272 477 Direct product 278 478 simulated annealing (Torres-Jimenez) 290 479 Direct product generalized 307 480 Direct product generalized 324 494 Direct product 326 495 Direct product generalized 328 507 Direct product generalized 342 510 Direct product generalized 343 521 Direct product generalized 360 522 Direct product 364 523 Direct product generalized 369 525 Direct product generalized 370 526 Direct product generalized 373 539 Direct product generalized 380 540 Direct product generalized 387 550 Direct product generalized 400 552 Direct product 404 557 Direct product generalized 406 560 Direct product generalized 408 562 Direct product 409 563 Direct product generalized 413 566 Direct product generalized 414 567 Direct product generalized 420 570 Direct product generalized 432 575 Direct product 433 577 Direct product generalized 438 582 Direct product generalized 439 583 Direct product generalized 440 585 Direct product generalized 450 591 Direct product 456 592 Direct product generalized 459 596 Direct product generalized 460 597 Direct product generalized 469 603 Direct product generalized 480 604 Direct product 484 605 Direct product generalized 487 607 Direct product generalized 491 612 Direct product generalized 493 615 Direct product generalized 504 616 Direct product 536 620 PCAxPCA 544 621 Direct product 576 623 Direct product 594 634 Direct product 602 643 PCAxPCA 612 644 Direct product 648 646 Direct product 666 658 Direct product 712 660 Direct product generalized 717 661 Direct product generalized 719 666 Direct product generalized 734 671 Direct product generalized 735 674 Direct product generalized 1728 675 Direct product generalized 1751 676 Direct product 1752 688 Direct product generalized 1778 689 Direct product generalized 2005 690 Direct product generalized 2080 691 Direct product generalized 2088 697 Direct product generalized 2336 698 Direct product generalized 2656 699 Direct product generalized 3232 700 Direct product generalized 3840 701 Direct product generalized 4608 702 Direct product generalized 4736 703 Direct product generalized 4928 704 Direct product generalized 5219 705 Direct product 5236 718 Direct product generalized 5541 719 Direct product generalized 5595 720 Direct product generalized 5599 728 Direct product generalized 5600 731 Direct product generalized 5617 732 Direct product generalized 5832 733 Direct product 5876 734 Direct product generalized 5912 735 Direct product generalized 5943 743 Direct product generalized 5944 744 Direct product generalized 5946 746 Direct product generalized 6140 747 Direct product 6246 748 Direct product generalized 6263 749 Direct product generalized 6351 750 Direct product generalized 6367 751 Direct product generalized 6375 758 Direct product generalized 6377 759 Direct product generalized 6483 761 Direct product generalized 6626 762 Direct product generalized 6642 763 Direct product generalized 6698 764 Direct product generalized 6720 765 Direct product generalized 6724 766 Direct product generalized 6756 773 Direct product generalized 6759 774 Direct product generalized 6774 775 Direct product generalized 6878 777 Direct product generalized 7006 778 Direct product generalized 7028 779 Direct product generalized 7091 780 Direct product generalized 7098 781 Direct product generalized 7106 787 Direct product generalized 7120 788 Direct product generalized 7200 789 Direct product 7318 790 Direct product generalized 7378 791 Direct product generalized 7389 792 Direct product generalized 7490 793 Direct product generalized 7493 794 Direct product generalized 7558 795 Direct product generalized 7560 796 Direct product generalized 7584 800 Direct product generalized 7592 802 Direct product generalized 7621 803 Direct product generalized 7641 804 Direct product generalized 7664 807 Direct product generalized 7768 808 Direct product generalized 7822 810 Direct product generalized 7839 811 Direct product generalized 7840 812 Direct product generalized 7864 815 Direct product generalized 7896 816 Direct product generalized 7908 817 Direct product generalized 7942 818 Direct product generalized 7967 819 Direct product generalized 8024 820 Direct product generalized 8137 821 Direct product generalized 8142 822 Direct product generalized 8216 823 Direct product generalized 8228 825 Direct product generalized 8234 826 Direct product generalized 8240 827 Direct product generalized 8258 828 Direct product generalized 8336 830 Direct product generalized 8377 831 Direct product generalized 8398 832 Direct product generalized 8471 833 Direct product generalized 8474 836 Direct product generalized 8546 837 Direct product generalized 8557 838 Direct product generalized 8572 839 Direct product generalized 8639 840 Direct product generalized 8688 841 Direct product generalized 8796 843 Direct product generalized 8925 845 Direct product generalized 9216 846 Direct product generalized 9824 848 PCAxPCA 10131 859 PCAxPCA 10368 862 Direct product 10476 863 Direct product generalized 10494 868 Direct product generalized 10522 869 Direct product generalized 10540 870 Direct product generalized 11052 871 PCAxPCA 11359 883 PCAxPCA 12137 885 Direct product generalized 12828 886 Direct product generalized 12832 891 Direct product generalized 12834 893 Direct product generalized 12860 896 Direct product generalized 13130 898 Direct product generalized 13160 899 Direct product generalized 20000 900 Direct product generalized

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