Table for CAN(5,k,7) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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;5,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 16807 orthogonal array 9 27911 orthogonal array fuse postop NCK 10 42317 AZ1 11 53433 Density Mult Cyclic (Colbourn) postop NCK 12 58603 Density Mult Cyclic (Colbourn) postop NCK 13 63626 Density Mult Cyclic (Colbourn) postop NCK 16 64827 Martirosyan-Tran van Trung 17 80268 Density Mult Cyclic (Colbourn) postop NCK 19 87661 Density Mult Cyclic (Colbourn) 20 116179 AZ1 21 141169 Add 2 factors 22 142737 Add 7 factors 23 143619 Add 7 factors 24 159942 Add 7 factors 25 169099 Add 7 factors 26 169981 Add 7 factors 28 190421 Martirosyan-Tran van Trung 30 194243 Martirosyan-Tran van Trung 32 198065 Martirosyan-Tran van Trung 34 220394 Martirosyan-Tran van Trung 36 231861 Martirosyan-Tran van Trung 38 247583 Martirosyan-Tran van Trung 39 276353 AZ1 40 276962 Martirosyan-Colbourn 42 301952 Martirosyan-Colbourn 44 303520 Martirosyan-Colbourn 46 304402 Martirosyan-Colbourn 48 320725 Martirosyan-Colbourn 50 329882 Martirosyan-Colbourn 52 330764 Martirosyan-Colbourn 56 351204 Martirosyan-Colbourn 60 355026 Martirosyan-Colbourn 64 373212 Martirosyan-Colbourn 68 395541 Martirosyan-Colbourn 72 407008 Martirosyan-Colbourn 76 422730 Martirosyan-Colbourn 78 451500 Martirosyan-Colbourn 80 452109 Martirosyan-Colbourn 84 477099 Martirosyan-Colbourn 88 478667 Martirosyan-Colbourn 92 479549 Martirosyan-Colbourn 96 495872 Martirosyan-Colbourn 100 505029 Martirosyan-Colbourn 104 514787 Martirosyan-Tran van Trung 108 533372 Martirosyan-Tran van Trung 112 544964 Martirosyan-Tran van Trung 114 555452 Martirosyan-Tran van Trung 121 587752 Power CT11^2 126 633698 Martirosyan-Tran van Trung 128 643848 Martirosyan-Tran van Trung 144 676170 Power CT16^2T7 160 690576 Power CT16^2T6 169 699875 Power CT13^2 176 701692 Power CT16^2T5 192 706862 Power CT16^2T4 208 711885 Power CT16^2T3 256 713086 Power CT16^2 257 777136 AZ1 258 816238 Add 2 factors 259 830644 Add 3 factors 263 845050 Add 7 factors 272 846373 Power N-CT19^2T3T2 304 853766 Power N-CT19^2T3 323 869207 Power N-CT19^2T2 361 876600 Power N-CT19^2 362 940650 AZ1 363 979752 Add 2 factors 364 994158 Add 3 factors 368 1008564 Add 7 factors 384 1059129 Martirosyan-Colbourn 416 1064152 Martirosyan-Colbourn 420 1065353 Martirosyan-Colbourn 480 1077203 Martirosyan-Colbourn 512 1079933 Martirosyan-Colbourn 514 1143983 Martirosyan-Colbourn 516 1183085 Martirosyan-Colbourn 518 1197491 Martirosyan-Colbourn 526 1211897 Martirosyan-Colbourn 544 1213220 Martirosyan-Colbourn 608 1220613 Martirosyan-Colbourn 646 1236054 Martirosyan-Colbourn 686 1243447 Martirosyan-Colbourn 700 1247257 Martirosyan-Colbourn 722 1249375 Martirosyan-Colbourn 724 1313425 Martirosyan-Colbourn 726 1352527 Martirosyan-Colbourn 728 1366933 Martirosyan-Colbourn 736 1381339 Martirosyan-Colbourn 742 1431904 Martirosyan-Colbourn 756 1432186 Martirosyan-Colbourn 768 1437898 Martirosyan-Colbourn 784 1442921 Martirosyan-Colbourn 800 1447307 Martirosyan-Colbourn 832 1449425 Martirosyan-Colbourn 840 1450626 Martirosyan-Colbourn 848 1462476 Martirosyan-Colbourn 864 1462758 Martirosyan-Colbourn 896 1474380 Martirosyan-Colbourn 912 1481046 Martirosyan-Colbourn 960 1484700 Martirosyan-Colbourn 972 1487430 Martirosyan-Colbourn 980 1494810 Martirosyan-Colbourn 1008 1499022 Martirosyan-Colbourn 1024 1500546 Martirosyan-Colbourn 1028 1564596 Martirosyan-Colbourn 1032 1603698 Martirosyan-Colbourn 1036 1618104 Martirosyan-Colbourn 1052 1632510 Martirosyan-Colbourn 1080 1633833 Martirosyan-Colbourn 1088 1645425 Martirosyan-Colbourn 1120 1652818 Martirosyan-Colbourn 1134 1657876 Martirosyan-Colbourn 1140 1659484 Martirosyan-Colbourn 1216 1662934 Martirosyan-Colbourn 1274 1678375 Martirosyan-Colbourn 1292 1684261 Martirosyan-Colbourn 1372 1691654 Martirosyan-Colbourn 1400 1697210 Martirosyan-Colbourn 1404 1699328 Martirosyan-Colbourn 1444 1701746 Martirosyan-Colbourn 1448 1765796 Martirosyan-Colbourn 1452 1804898 Martirosyan-Colbourn 1456 1819304 Martirosyan-Colbourn 1472 1833710 Martirosyan-Colbourn 1484 1884275 Martirosyan-Colbourn 1512 1884839 Martirosyan-Colbourn 1536 1892693 Martirosyan-Colbourn 1568 1897716 Martirosyan-Colbourn 1596 1903614 Martirosyan-Colbourn 1600 1907766 Martirosyan-Colbourn 1664 1909884 Martirosyan-Colbourn 1666 1911085 Martirosyan-Colbourn 1680 1911253 Martirosyan-Colbourn 1696 1923103 Martirosyan-Colbourn 1728 1923385 Martirosyan-Colbourn 1764 1935007 Martirosyan-Colbourn 1792 1942975 Martirosyan-Colbourn 1824 1949641 Martirosyan-Colbourn 1836 1953295 Martirosyan-Colbourn 1920 1957177 Martirosyan-Colbourn 1944 1959907 Martirosyan-Colbourn 1960 1967287 Martirosyan-Colbourn 2016 1971499 Martirosyan-Colbourn 2048 1975537 Martirosyan-Colbourn 2056 2039587 Martirosyan-Colbourn 2064 2078689 Martirosyan-Colbourn 2072 2093095 Martirosyan-Colbourn 2100 2107501 Martirosyan-Colbourn 2104 2108761 Martirosyan-Colbourn 2160 2110084 Martirosyan-Colbourn 2176 2121676 Martirosyan-Colbourn 2240 2129069 Martirosyan-Colbourn 2268 2134127 Martirosyan-Colbourn 2280 2135735 Martirosyan-Colbourn 2432 2139185 Martirosyan-Colbourn 2548 2154626 Martirosyan-Colbourn 2584 2160512 Martirosyan-Colbourn 2744 2167905 Martirosyan-Colbourn 2772 2173461 Martirosyan-Colbourn 2800 2176737 Martirosyan-Colbourn 2808 2178855 Martirosyan-Colbourn 2888 2181273 Martirosyan-Colbourn 2896 2245323 Martirosyan-Colbourn 2904 2284425 Martirosyan-Colbourn 2912 2298831 Martirosyan-Colbourn 2940 2313237 Martirosyan-Colbourn 2944 2322825 Martirosyan-Colbourn 2968 2373390 Martirosyan-Colbourn 3024 2373954 Martirosyan-Colbourn 3072 2381808 Martirosyan-Colbourn 3132 2386831 Martirosyan-Colbourn 3136 2390605 Martirosyan-Colbourn 3192 2396719 Martirosyan-Colbourn 3200 2400871 Martirosyan-Colbourn 3328 2402989 Martirosyan-Colbourn 3332 2404190 Martirosyan-Colbourn 3360 2404358 Martirosyan-Colbourn 3392 2418938 Martirosyan-Colbourn 3456 2419220 Martirosyan-Colbourn 3528 2430842 Martirosyan-Colbourn 3584 2438810 Martirosyan-Colbourn 3648 2445476 Martirosyan-Colbourn 3672 2449130 Martirosyan-Colbourn 3840 2453012 Martirosyan-Colbourn 3888 2455742 Martirosyan-Colbourn 3920 2463122 Martirosyan-Colbourn 4032 2467334 Martirosyan-Colbourn 4096 2471372 Martirosyan-Colbourn 4112 2535422 Martirosyan-Colbourn 4128 2574524 Martirosyan-Colbourn 4144 2588930 Martirosyan-Colbourn 4200 2603336 Martirosyan-Colbourn 4208 2604596 Martirosyan-Colbourn 4320 2605919 Martirosyan-Colbourn 4352 2617511 Martirosyan-Colbourn 4480 2624904 Martirosyan-Colbourn 4536 2629962 Martirosyan-Colbourn 4560 2631570 Martirosyan-Colbourn 4802 2635020 Martirosyan-Colbourn 4864 2640888 Martirosyan-Colbourn 4902 2656329 Martirosyan-Colbourn 4903 2792745 AZ1 5168 2817877 Power CT23^3T7T6T4 5776 2825270 Power CT23^3T7T4T4 6137 2840711 Power CT23^3T6T4T4 6859 2848104 Power CT23^3T4T4T4 7220 2876622 Power CT23^3T4T4T3 7429 2896669 Power CT23^3T6T4 7581 2901612 Power CT23^3T4T4T2 7942 2903180 Power CT23^3T4T4T1 8303 2904062 Power CT23^3T4T4 8360 2931698 Power CT23^3T4T3T1 8740 2932580 Power CT23^3T4T3 8993 2952627 Power CT23^3T6 9177 2957570 Power CT23^3T4T2 9196 2958256 Power CT23^3T4T1T1 9614 2959138 Power CT23^3T4T1 10000 2960020 Power CT23^3T4

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