Table for CAN(5,k,16) 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;5,k,16) 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 17 1048576 orthogonal array 18 1419856 fuse symbols 19 2402896 extend by one factor 20 2476096 fuse symbols 34 2531328 Martirosyan-Tran van Trung 36 3230928 Martirosyan-Tran van Trung 38 4919842 Martirosyan-Tran van Trung 40 5119922 Martirosyan-Tran van Trung 46 6046399 Martirosyan-Tran van Trung 56 6179135 Martirosyan-Tran van Trung 58 6208415 Martirosyan-Tran van Trung 60 6237695 Martirosyan-Tran van Trung 62 6266975 Martirosyan-Tran van Trung 64 6296255 Martirosyan-Tran van Trung 68 6383135 Martirosyan-Tran van Trung 72 7356560 Martirosyan-Tran van Trung 73 10182800 extend by one factor 76 10367769 Martirosyan-Tran van Trung 80 10567849 Martirosyan-Tran van Trung 289 11534326 Power 17^2 290 14468566 extend by one factor 512 17233383 Martirosyan-Tran van Trung 544 17290983 Martirosyan-Tran van Trung 576 17675943 Martirosyan-Tran van Trung 578 18574758 Martirosyan-Tran van Trung 580 21676998 Martirosyan-Tran van Trung 610 24441815 Martirosyan-Tran van Trung 612 24445719 Martirosyan-Tran van Trung 640 24990159 Martirosyan-Tran van Trung 964 25313271 linear hash family 984 26854775 Martirosyan-Tran van Trung 1018 26884055 Martirosyan-Tran van Trung 1024 26887959 Martirosyan-Tran van Trung 1064 27003159 Martirosyan-Tran van Trung 1088 27032439 Martirosyan-Tran van Trung 1102 27792474 Martirosyan-Tran van Trung 1140 27821754 Martirosyan-Tran van Trung 1152 27847130 Martirosyan-Tran van Trung 1156 30207410 Martirosyan-Tran van Trung 1160 33448370 Martirosyan-Tran van Trung 1196 36213187 Martirosyan-Tran van Trung 1220 36246607 Martirosyan-Tran van Trung 1224 36250511 Martirosyan-Tran van Trung 1280 37246391 Martirosyan-Tran van Trung 1928 37820633 Martirosyan-Tran van Trung 1968 39362137 Martirosyan-Tran van Trung 2036 39391417 Martirosyan-Tran van Trung 2048 39395321 Martirosyan-Tran van Trung 2128 39510521 Martirosyan-Tran van Trung 2176 39539801 Martirosyan-Tran van Trung 2204 40299836 Martirosyan-Tran van Trung 2280 40329116 Martirosyan-Tran van Trung 2304 40354492 Martirosyan-Tran van Trung 2312 42714772 Martirosyan-Tran van Trung 2320 45955732 Martirosyan-Tran van Trung 2392 48720549 Martirosyan-Tran van Trung 2440 48753969 Martirosyan-Tran van Trung 2448 48757873 Martirosyan-Tran van Trung 2560 49753753 Martirosyan-Tran van Trung 3856 50327995 Martirosyan-Tran van Trung 3936 51869499 Martirosyan-Tran van Trung 4072 51898779 Martirosyan-Tran van Trung 4096 51902683 Martirosyan-Tran van Trung 4256 52017883 Martirosyan-Tran van Trung 4352 52047163 Martirosyan-Tran van Trung 4408 52807198 Martirosyan-Tran van Trung 4560 52836478 Martirosyan-Tran van Trung 4608 52861854 Martirosyan-Tran van Trung 10000 53157868 Power 23^3

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