Table for CAN(3,k,9) for k up to 10000

Last Updated Sat Nov 14 06:41:39 MST 2009

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,9) 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 10 729 orthogonal array 12 1196 orthogonal array fuse fuse postop NCK 20 1377 Chateauneuf-Kreher doubling 41 1449 Sherwood-Martirosyan-Colbourn 90 2025 Colbourn-Martirosyan-Trung-Walker 113 2169 Sherwood-Martirosyan-Colbourn 114 2817 Add a factor 117 2865 Colbourn-Martirosyan-Trung-Walker 225 2889 Sherwood-Martirosyan-Colbourn 369 3321 Colbourn-Martirosyan-Trung-Walker 380 3411 Cyclotomy (Colbourn) 410 3474 Cohen-Colbourn-Ling 810 3897 Colbourn-Martirosyan-Trung-Walker 891 4041 Colbourn-Martirosyan-Trung-Walker 900 4105 Colbourn-Martirosyan-Trung-Walker 1017 4233 Colbourn-Martirosyan-Trung-Walker 1130 4842 Cohen-Colbourn-Ling 1161 4953 Colbourn-Martirosyan-Trung-Walker 1251 5017 Colbourn-Martirosyan-Trung-Walker 1260 5065 Colbourn-Martirosyan-Trung-Walker 1341 5081 Colbourn-Martirosyan-Trung-Walker 1512 5145 Colbourn-Martirosyan-Trung-Walker 1629 5209 Colbourn-Martirosyan-Trung-Walker 1638 5257 Colbourn-Martirosyan-Trung-Walker 1755 5273 Colbourn-Martirosyan-Trung-Walker 1800 5321 Colbourn-Martirosyan-Trung-Walker 2025 5337 Colbourn-Martirosyan-Trung-Walker 2250 5562 Cohen-Colbourn-Ling 3321 5769 Colbourn-Martirosyan-Trung-Walker 3420 5859 Colbourn-Martirosyan-Trung-Walker 3690 5922 Colbourn-Martirosyan-Trung-Walker 4059 6066 Cohen-Colbourn-Ling 4100 6147 Cohen-Colbourn-Ling 7290 6345 Colbourn-Martirosyan-Trung-Walker 8019 6489 Colbourn-Martirosyan-Trung-Walker 8100 6553 Colbourn-Martirosyan-Trung-Walker 8829 6681 Colbourn-Martirosyan-Trung-Walker 8910 6745 Colbourn-Martirosyan-Trung-Walker 9000 6809 Colbourn-Martirosyan-Trung-Walker 9153 6873 Colbourn-Martirosyan-Trung-Walker 10000 7482 Colbourn-Martirosyan-Trung-Walker

Graph: