Table for CAN(3,k,18) 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,18) 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 4 5832 Derive from strength 4 5 5994 Li-Ji-Yin 6 6156 Ji-Yin 11 6579 ordered design (CCL) 12 6804 orthogonal array fuse postop NCK 14 6832 orthogonal array fuse postop NCK 15 6833 orthogonal array fuse postop NCK 20 6856 orthogonal array fuse postop NCK 21 11537 orthogonal array fuse fuse fuse fuse fuse postop NCK 22 11616 orthogonal array fuse fuse fuse fuse fuse postop NCK 23 11672 orthogonal array fuse fuse fuse fuse fuse postop NCK 24 11713 orthogonal array fuse fuse fuse fuse fuse postop NCK 28 12884 Chateauneuf-Kreher doubling 30 12885 Chateauneuf-Kreher doubling 32 12908 Chateauneuf-Kreher doubling 34 12925 Chateauneuf-Kreher doubling 40 12942 Chateauneuf-Kreher doubling 42 17657 Chateauneuf-Kreher doubling 44 18801 Cohen-Colbourn-Ling 76 18828 Colbourn-Martirosyan-Trung-Walker 95 18990 Colbourn-Martirosyan-Trung-Walker 114 19152 Colbourn-Martirosyan-Trung-Walker 120 19510 Cohen-Colbourn-Ling 209 19575 Colbourn-Martirosyan-Trung-Walker 228 19800 Colbourn-Martirosyan-Trung-Walker 266 19828 Colbourn-Martirosyan-Trung-Walker 285 19829 Colbourn-Martirosyan-Trung-Walker 380 19852 Colbourn-Martirosyan-Trung-Walker 1298 23364 Cyclotomy (Colbourn) 1423 25614 Cyclotomy (Colbourn) 1532 27576 Cyclotomy (Colbourn) 1550 27882 Cyclotomy (Colbourn) 1568 28206 Cyclotomy (Colbourn) 1622 29178 Cyclotomy (Colbourn) 1658 29826 Cyclotomy (Colbourn) 1693 30474 Cyclotomy (Colbourn) 1874 33714 Cyclotomy (Colbourn) 2000 35982 Cyclotomy (Colbourn) 2018 36306 Cyclotomy (Colbourn) 2054 36954 Cyclotomy (Colbourn) 2089 37602 Cyclotomy (Colbourn) 2166 38304 Colbourn-Martirosyan-Trung-Walker 2280 38662 Colbourn-Martirosyan-Trung-Walker 3971 38727 Colbourn-Martirosyan-Trung-Walker 4332 38952 Colbourn-Martirosyan-Trung-Walker 5054 38980 Colbourn-Martirosyan-Trung-Walker 5415 38981 Colbourn-Martirosyan-Trung-Walker 7220 39004 Colbourn-Martirosyan-Trung-Walker 7581 42516 Colbourn-Martirosyan-Trung-Walker 7600 42822 Colbourn-Martirosyan-Trung-Walker 8664 43830 Colbourn-Martirosyan-Trung-Walker 8683 44136 Colbourn-Martirosyan-Trung-Walker 9120 44154 Colbourn-Martirosyan-Trung-Walker 9500 44532 Colbourn-Martirosyan-Trung-Walker 9519 44730 Colbourn-Martirosyan-Trung-Walker 9557 44748 Colbourn-Martirosyan-Trung-Walker 9595 44784 Colbourn-Martirosyan-Trung-Walker 9671 44802 Colbourn-Martirosyan-Trung-Walker 9728 44820 Colbourn-Martirosyan-Trung-Walker 9823 44838 Colbourn-Martirosyan-Trung-Walker 9861 44856 Colbourn-Martirosyan-Trung-Walker 9880 44874 Colbourn-Martirosyan-Trung-Walker 9899 45072 Colbourn-Martirosyan-Trung-Walker 9918 45090 Colbourn-Martirosyan-Trung-Walker 9956 45126 Colbourn-Martirosyan-Trung-Walker 10000 45144 Colbourn-Martirosyan-Trung-Walker

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