Table for CAN(4,k,20) for k up to 10000

Last Updated Sat Nov 14 06:42:46 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;4,k,20) 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 160000 Derive from strength 5 6 177285 Derive from strength 5 7 186615 Add a symbol 8 196436 Add a symbol 9 206774 Add a symbol 10 217656 Add a symbol 11 229111 Add a symbol 12 241169 Add a symbol 13 253862 Add a symbol 14 267223 Add a symbol 24 279835 orthogonal array fuse fuse fuse 26 390615 orthogonal array fuse fuse fuse fuse fuse 28 531427 orthogonal array fuse fuse fuse fuse fuse fuse fuse 29 618087 Derive from strength 5 31 632152 Derive from strength 5 47 641671 Derive from strength 5 fuse fuse fuse 48 669737 Colbourn-Martirosyan-Trung-Walker 52 847055 Colbourn-Martirosyan-Trung-Walker 69 1006537 Colbourn-Martirosyan-Trung-Walker 72 1022537 Colbourn-Martirosyan-Trung-Walker 75 1199855 Colbourn-Martirosyan-Trung-Walker 92 1202667 Colbourn-Martirosyan-Trung-Walker 94 1217127 Colbourn-Martirosyan-Trung-Walker 96 1218665 Colbourn-Martirosyan-Trung-Walker 529 1362697 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 552 1385973 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 575 1572741 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 598 1596017 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 621 1826017 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 644 1849293 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 650 1936239 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse fuse fuse 667 2050397 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 713 2073673 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 736 2085311 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 806 2194843 Colbourn-Martirosyan-Trung-Walker 838 2201315 Colbourn-Martirosyan-Trung-Walker 878 2209585 Colbourn-Martirosyan-Trung-Walker 886 2211263 Colbourn-Martirosyan-Trung-Walker 926 2219773 Colbourn-Martirosyan-Trung-Walker 934 2221499 Colbourn-Martirosyan-Trung-Walker 958 2226725 Colbourn-Martirosyan-Trung-Walker 974 2230249 Colbourn-Martirosyan-Trung-Walker 998 2235595 Colbourn-Martirosyan-Trung-Walker 1081 2236605 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse 1104 2286681 Colbourn-Martirosyan-Trung-Walker 1118 2486863 Colbourn-Martirosyan-Trung-Walker 1150 2494583 Colbourn-Martirosyan-Trung-Walker 1166 2521767 Colbourn-Martirosyan-Trung-Walker 1196 2529679 Colbourn-Martirosyan-Trung-Walker 1209 2707643 Colbourn-Martirosyan-Trung-Walker 1257 2720587 Colbourn-Martirosyan-Trung-Walker 1317 2737127 Colbourn-Martirosyan-Trung-Walker 1329 2740483 Colbourn-Martirosyan-Trung-Walker 1389 2757503 Colbourn-Martirosyan-Trung-Walker 1401 2760955 Colbourn-Martirosyan-Trung-Walker 1437 2771407 Colbourn-Martirosyan-Trung-Walker 1461 2778455 Colbourn-Martirosyan-Trung-Walker 1497 2789147 Colbourn-Martirosyan-Trung-Walker 1545 2803627 Colbourn-Martirosyan-Trung-Walker 1569 2810963 Colbourn-Martirosyan-Trung-Walker 1581 2814655 Colbourn-Martirosyan-Trung-Walker 1587 2822087 Colbourn-Martirosyan-Trung-Walker 1605 2877363 Colbourn-Martirosyan-Trung-Walker 1656 2900043 Colbourn-Martirosyan-Trung-Walker 1676 2986523 Colbourn-Martirosyan-Trung-Walker 1756 3003063 Colbourn-Martirosyan-Trung-Walker 1772 3006419 Colbourn-Martirosyan-Trung-Walker 1852 3023439 Colbourn-Martirosyan-Trung-Walker 1868 3026891 Colbourn-Martirosyan-Trung-Walker 1916 3037343 Colbourn-Martirosyan-Trung-Walker 1948 3044391 Colbourn-Martirosyan-Trung-Walker 1996 3055083 Colbourn-Martirosyan-Trung-Walker 2060 3069563 Colbourn-Martirosyan-Trung-Walker 2092 3076899 Colbourn-Martirosyan-Trung-Walker 2108 3080591 Colbourn-Martirosyan-Trung-Walker 2116 3088023 Colbourn-Martirosyan-Trung-Walker 2140 3143295 Colbourn-Martirosyan-Trung-Walker 2418 3151664 Colbourn-Martirosyan-Trung-Walker 2514 3171080 Colbourn-Martirosyan-Trung-Walker 2634 3195890 Colbourn-Martirosyan-Trung-Walker 2658 3200924 Colbourn-Martirosyan-Trung-Walker 10000 3213667 Colbourn-Martirosyan-Trung-Walker fuse fuse fuse

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