Table for CAN(3,k,7) for k up to 10000

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;3,k,7) 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 8 343 orthogonal array 9 475 Soriano 10 482 Soriano 16 637 Chateauneuf-Kreher doubling 32 679 Sherwood-Martirosyan-Colbourn 56 931 Colbourn-Martirosyan-Trung-Walker 81 1015 Sherwood-Martirosyan-Colbourn 150 1351 Sherwood-Martirosyan-Colbourn 224 1519 Colbourn-Martirosyan-Trung-Walker 256 1610 Cohen-Colbourn-Ling 392 1771 Colbourn-Martirosyan-Trung-Walker 441 1855 Colbourn-Martirosyan-Trung-Walker 448 1891 Colbourn-Martirosyan-Trung-Walker 553 1927 Colbourn-Martirosyan-Trung-Walker 560 1939 Colbourn-Martirosyan-Trung-Walker 567 1963 Colbourn-Martirosyan-Trung-Walker 648 2240 Cohen-Colbourn-Ling 693 2335 Colbourn-Martirosyan-Trung-Walker 700 2347 Colbourn-Martirosyan-Trung-Walker 721 2365 Colbourn-Martirosyan-Trung-Walker 763 2371 Colbourn-Martirosyan-Trung-Walker 784 2383 Colbourn-Martirosyan-Trung-Walker 833 2395 Colbourn-Martirosyan-Trung-Walker 840 2401 Colbourn-Martirosyan-Trung-Walker 889 2407 Colbourn-Martirosyan-Trung-Walker 945 2419 Colbourn-Martirosyan-Trung-Walker 1001 2431 Colbourn-Martirosyan-Trung-Walker 1050 2443 Colbourn-Martirosyan-Trung-Walker 1200 2576 Cohen-Colbourn-Ling 1568 2611 Colbourn-Martirosyan-Trung-Walker 1792 2702 Colbourn-Martirosyan-Trung-Walker 2016 2786 Cohen-Colbourn-Ling 2048 2835 Cohen-Colbourn-Ling 2744 2863 Colbourn-Martirosyan-Trung-Walker 3087 2947 Colbourn-Martirosyan-Trung-Walker 3136 2983 Colbourn-Martirosyan-Trung-Walker 3479 3019 Colbourn-Martirosyan-Trung-Walker 3528 3055 Colbourn-Martirosyan-Trung-Walker 3871 3091 Colbourn-Martirosyan-Trung-Walker 3920 3103 Colbourn-Martirosyan-Trung-Walker 3969 3127 Colbourn-Martirosyan-Trung-Walker 4361 3404 Colbourn-Martirosyan-Trung-Walker 4480 3416 Colbourn-Martirosyan-Trung-Walker 4536 3440 Colbourn-Martirosyan-Trung-Walker 4802 3535 Colbourn-Martirosyan-Trung-Walker 4851 3571 Colbourn-Martirosyan-Trung-Walker 4900 3583 Colbourn-Martirosyan-Trung-Walker 5047 3601 Colbourn-Martirosyan-Trung-Walker 5341 3607 Colbourn-Martirosyan-Trung-Walker 5467 3619 Colbourn-Martirosyan-Trung-Walker 5488 3631 Colbourn-Martirosyan-Trung-Walker 5600 3643 Colbourn-Martirosyan-Trung-Walker 5684 3661 Colbourn-Martirosyan-Trung-Walker 5831 3667 Colbourn-Martirosyan-Trung-Walker 5880 3673 Colbourn-Martirosyan-Trung-Walker 6020 3679 Colbourn-Martirosyan-Trung-Walker 6174 3691 Colbourn-Martirosyan-Trung-Walker 6223 3703 Colbourn-Martirosyan-Trung-Walker 6566 3715 Colbourn-Martirosyan-Trung-Walker 6615 3721 Colbourn-Martirosyan-Trung-Walker 7007 3739 Colbourn-Martirosyan-Trung-Walker 7350 3763 Colbourn-Martirosyan-Trung-Walker 8192 3885 Cohen-Colbourn-Ling 8400 3920 Colbourn-Martirosyan-Trung-Walker 10000 3955 Colbourn-Martirosyan-Trung-Walker

Graph: