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

Last Updated Thu Jan 5 06:12:57 MST 2012

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 9 472 simulated annealing (CKRS) 10 479 simulated annealing (CKRS) 16 637 Chateauneuf-Kreher doubling 32 679 Sherwood-Martirosyan-Colbourn 56 931 Colbourn-Martirosyan-Trung-Walker 81 1015 Sherwood-Martirosyan-Colbourn 82 1309 Add a factor 150 1351 Sherwood-Martirosyan-Colbourn 198 1386 Cyclotomy (Colbourn) 212 1477 Cyclotomy (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 1885 Colbourn-Martirosyan-Trung-Walker 497 1915 Colbourn-Martirosyan-Trung-Walker 504 1921 Colbourn-Martirosyan-Trung-Walker 553 1927 Colbourn-Martirosyan-Trung-Walker 560 1939 Colbourn-Martirosyan-Trung-Walker 567 1951 Colbourn-Martirosyan-Trung-Walker 648 2142 Cohen-Colbourn-Ling 711 2311 Cohen-Colbourn-Ling 720 2327 Cohen-Colbourn-Ling 721 2341 Colbourn-Martirosyan-Trung-Walker 729 2343 Cohen-Colbourn-Ling 756 2353 Colbourn-Martirosyan-Trung-Walker 763 2359 Colbourn-Martirosyan-Trung-Walker 777 2365 Colbourn-Martirosyan-Trung-Walker 798 2371 Colbourn-Martirosyan-Trung-Walker 805 2377 Colbourn-Martirosyan-Trung-Walker 840 2383 Colbourn-Martirosyan-Trung-Walker 896 2389 Colbourn-Martirosyan-Trung-Walker 910 2395 Colbourn-Martirosyan-Trung-Walker 917 2401 Colbourn-Martirosyan-Trung-Walker 945 2407 Colbourn-Martirosyan-Trung-Walker 994 2413 Colbourn-Martirosyan-Trung-Walker 1050 2419 Colbourn-Martirosyan-Trung-Walker 1064 2454 Colbourn-Martirosyan-Trung-Walker 1232 2460 Colbourn-Martirosyan-Trung-Walker 1386 2472 Colbourn-Martirosyan-Trung-Walker 1456 2563 Colbourn-Martirosyan-Trung-Walker 1484 2569 Colbourn-Martirosyan-Trung-Walker 1584 2611 Cohen-Colbourn-Ling 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 2977 Colbourn-Martirosyan-Trung-Walker 3479 3007 Colbourn-Martirosyan-Trung-Walker 3528 3043 Colbourn-Martirosyan-Trung-Walker 3647 3061 Colbourn-Martirosyan-Trung-Walker 3871 3079 Colbourn-Martirosyan-Trung-Walker 3920 3091 Colbourn-Martirosyan-Trung-Walker 3969 3109 Colbourn-Martirosyan-Trung-Walker 3976 3300 Colbourn-Martirosyan-Trung-Walker 4375 3306 Colbourn-Martirosyan-Trung-Walker 4424 3312 Colbourn-Martirosyan-Trung-Walker 4480 3318 Colbourn-Martirosyan-Trung-Walker 4536 3330 Colbourn-Martirosyan-Trung-Walker 4977 3472 Cohen-Colbourn-Ling 5103 3486 Cohen-Colbourn-Ling 5184 3566 Cohen-Colbourn-Ling 5530 3575 Cohen-Colbourn-Ling 5586 3595 Colbourn-Martirosyan-Trung-Walker 5600 3601 Colbourn-Martirosyan-Trung-Walker 5635 3619 Colbourn-Martirosyan-Trung-Walker 5684 3625 Colbourn-Martirosyan-Trung-Walker 5754 3631 Colbourn-Martirosyan-Trung-Walker 5880 3637 Colbourn-Martirosyan-Trung-Walker 6013 3643 Colbourn-Martirosyan-Trung-Walker 6336 3649 Cohen-Colbourn-Ling 6370 3673 Colbourn-Martirosyan-Trung-Walker 6399 3678 Cohen-Colbourn-Ling 6419 3679 Colbourn-Martirosyan-Trung-Walker 6440 3685 Colbourn-Martirosyan-Trung-Walker 6615 3691 Colbourn-Martirosyan-Trung-Walker 6699 3697 Colbourn-Martirosyan-Trung-Walker 6958 3703 Colbourn-Martirosyan-Trung-Walker 7210 3709 Colbourn-Martirosyan-Trung-Walker 7280 3715 Colbourn-Martirosyan-Trung-Walker 7350 3727 Colbourn-Martirosyan-Trung-Walker 7688 3732 Power N-CT31^3T23 7952 3774 Colbourn-Martirosyan-Trung-Walker 8512 3780 Colbourn-Martirosyan-Trung-Walker 8624 3786 Colbourn-Martirosyan-Trung-Walker 9702 3798 Colbourn-Martirosyan-Trung-Walker 10000 3901 Colbourn-Martirosyan-Trung-Walker

Graph: