Table for CAN(2,k,18) 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,18) 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 5 324 orthogonal array 20 358 orthogonal array 21 360 projection (Colbourn) 24 518 orthogonal array 25 520 fuse symbols 26 521 fuse symbols 27 522 fuse symbols 28 523 fuse symbols 29 524 projection (Colbourn) 33 562 group 1-rotational (Meagher-Stevens, Colbourn) 34 579 group 1-rotational (Meagher-Stevens, Colbourn) 35 596 group 1-rotational (Meagher-Stevens, Colbourn) 36 613 group 1-rotational (Meagher-Stevens, Colbourn) 37 630 group 1-rotational (Meagher-Stevens, Colbourn) 38 647 group 1-rotational (Meagher-Stevens, Colbourn) 100 664 CMMSSY 2.2 105 666 CMMSSY 2.2 399 698 CMMSSY 2.2 420 700 CMMSSY 2.2 441 702 CMMSSY 2.2 479 858 CMMSSY 2.2 504 860 CMMSSY 2.2 520 861 CMMSSY 2.2 540 862 CMMSSY 2.2 560 863 CMMSSY 2.2 580 864 CMMSSY 2.2 588 865 CMMSSY 2.2 609 866 CMMSSY 2.2 659 902 CMMSSY 2.2 693 904 CMMSSY 2.2 714 921 CMMSSY 2.2 735 938 CMMSSY 2.2 756 955 CMMSSY 2.2 777 972 CMMSSY 2.2 798 989 CMMSSY 2.2 1995 1004 CMMSSY 2.2 2100 1006 CMMSSY 2.2 2205 1008 CMMSSY 2.2 7942 1038 CMMSSY 2.2 8400 1040 CMMSSY 2.2 8820 1042 CMMSSY 2.2 9261 1044 CMMSSY 2.2 9538 1198 CMMSSY 2.2 10080 1200 CMMSSY 2.2 10374 1201 CMMSSY 2.2 10773 1202 CMMSSY 2.2 11172 1203 CMMSSY 2.2 11600 1204 CMMSSY 2.2 11760 1205 CMMSSY 2.2 12180 1206 CMMSSY 2.2 12348 1207 CMMSSY 2.2 12789 1208 CMMSSY 2.2 13129 1242 CMMSSY 2.2 13860 1244 CMMSSY 2.2 14553 1246 CMMSSY 2.2 14994 1263 CMMSSY 2.2 15435 1280 CMMSSY 2.2 15876 1297 CMMSSY 2.2 16317 1314 CMMSSY 2.2 16758 1331 CMMSSY 2.2 20000 1344 CMMSSY 2.2

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