Table for CAN(2,k,16) 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,16) 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 17 256 orthogonal array 18 286 orthogonal array 19 288 projection (Colbourn) 23 353 heuristic exchange (Nayeri-Colbourn) 28 421 group 1-rotational (Meagher-Stevens, Colbourn) 29 436 group 1-rotational (Meagher-Stevens, Colbourn) 30 451 group 1-rotational (Meagher-Stevens, Colbourn) 31 466 group 1-rotational (Meagher-Stevens, Colbourn) 32 481 group 1-rotational (Meagher-Stevens, Colbourn) 288 496 CMMSSY 2.3 289 511 CMMSSY 2.3 305 526 CMMSSY 2.3 323 528 CMMSSY 2.2 342 558 CMMSSY 2.2 361 560 CMMSSY 2.2 374 597 CMMSSY 2.3 391 598 CMMSSY 2.2 396 627 CMMSSY 2.2 414 628 CMMSSY 2.2 418 629 CMMSSY 2.2 437 630 CMMSSY 2.2 475 661 CMMSSY 2.3 492 676 CMMSSY 2.3 509 691 CMMSSY 2.3 532 693 CMMSSY 2.2 551 708 CMMSSY 2.2 570 723 CMMSSY 2.2 4880 736 CMMSSY 2.3 4896 751 CMMSSY 2.3 5168 766 CMMSSY 2.3 5491 768 CMMSSY 2.3 5814 798 CMMSSY 2.2 6137 800 CMMSSY 2.2 6156 828 CMMSSY 2.2 6498 830 CMMSSY 2.2 6859 832 CMMSSY 2.2 7038 868 CMMSSY 2.2 7106 869 CMMSSY 2.2 7429 870 CMMSSY 2.2 7452 898 CMMSSY 2.2 7524 899 CMMSSY 2.2 7866 900 CMMSSY 2.2 8048 901 CMMSSY 2.3 8303 902 CMMSSY 2.2 8336 916 CMMSSY 2.3 8624 931 CMMSSY 2.3 9044 933 CMMSSY 2.2 9367 948 CMMSSY 2.2 9690 963 CMMSSY 2.2 10108 965 CMMSSY 2.2 20000 976 CMMSSY 2.3

Graph: