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

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 17 253 orthogonal array 18 255 projection (Colbourn) 19 286 fuse symbols 20 287 projection (Colbourn) 24 343 heuristic exchange (Nayeri-Colbourn) 26 365 group 1-rotational (Meagher-Stevens, Colbourn) 27 379 group 1-rotational (Meagher-Stevens, Colbourn) 28 393 group 1-rotational (Meagher-Stevens, Colbourn) 29 407 group 1-rotational (Meagher-Stevens, Colbourn) 30 421 group 1-rotational (Meagher-Stevens, Colbourn) 36 435 CMMSSY 2.2 102 463 CMMSSY 2.2 108 465 CMMSSY 2.2 288 491 CMMSSY 2.2 306 493 CMMSSY 2.2 324 495 CMMSSY 2.2 340 525 CMMSSY 2.2 342 526 CMMSSY 2.2 360 527 CMMSSY 2.2 361 557 CMMSSY 2.2 380 558 CMMSSY 2.2 400 559 CMMSSY 2.2 408 595 CMMSSY 2.2 414 596 CMMSSY 2.2 432 597 CMMSSY 2.2 441 603 CMMSSY 2.2 468 605 CMMSSY 2.2 486 619 CMMSSY 2.2 504 633 CMMSSY 2.2 520 637 CMMSSY 2.2 522 647 CMMSSY 2.2 540 651 CMMSSY 2.2 560 665 CMMSSY 2.2 612 673 CMMSSY 2.2 648 675 CMMSSY 2.2 1728 701 CMMSSY 2.2 1836 703 CMMSSY 2.2 1944 705 CMMSSY 2.2 4864 729 CMMSSY 2.2 5202 731 CMMSSY 2.2 5508 733 CMMSSY 2.2 5832 735 CMMSSY 2.2 6120 765 CMMSSY 2.2 6156 766 CMMSSY 2.2 6480 767 CMMSSY 2.2 6800 797 CMMSSY 2.2 6840 798 CMMSSY 2.2 7200 799 CMMSSY 2.2 7220 829 CMMSSY 2.2 7600 830 CMMSSY 2.2 8000 831 CMMSSY 2.2 8424 845 CMMSSY 2.2 8748 859 CMMSSY 2.2 9072 873 CMMSSY 2.2 9360 877 CMMSSY 2.2 9396 887 CMMSSY 2.2 9720 891 CMMSSY 2.2 10080 905 CMMSSY 2.2 10400 909 CMMSSY 2.2 11016 913 CMMSSY 2.2 11664 915 CMMSSY 2.2 20000 939 CMMSSY 2.2

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