Table for CAN(3,k,14) 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,14) 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 2744 Derive from strength 4 5 2842 Li-Ji-Yin 6 2940 Ji-Yin 11 3185 ordered design (CCL) 12 3458 ordered design (CCL) 14 3549 ordered design (CCL) 15 3998 orthogonal array fuse fuse postop NCK 16 4011 orthogonal array fuse fuse postop NCK 18 4018 orthogonal array fuse fuse postop NCK 19 6130 orthogonal array fuse fuse fuse fuse fuse postop NCK 20 6138 orthogonal array fuse fuse fuse fuse fuse postop NCK 22 6279 Chateauneuf-Kreher doubling 24 6565 Chateauneuf-Kreher doubling 26 6669 Chateauneuf-Kreher doubling 28 6682 Chateauneuf-Kreher doubling 30 7144 Chateauneuf-Kreher doubling 32 7170 Chateauneuf-Kreher doubling 34 7190 Chateauneuf-Kreher doubling 36 7229 Chateauneuf-Kreher doubling 40 9163 Cohen-Colbourn-Ling 48 9261 Cohen-Colbourn-Ling 50 9555 Cohen-Colbourn-Ling 55 9597 Cohen-Colbourn-Ling 60 9653 Cohen-Colbourn-Ling 66 9933 Cohen-Colbourn-Ling 70 10006 Cohen-Colbourn-Ling 72 10098 Cohen-Colbourn-Ling 80 10146 Cohen-Colbourn-Ling 88 10178 Cohen-Colbourn-Ling 121 10210 Cohen-Colbourn-Ling 132 10483 Cohen-Colbourn-Ling 154 10574 Cohen-Colbourn-Ling 168 10847 Cohen-Colbourn-Ling 176 10865 Colbourn-Martirosyan-Trung-Walker 196 10938 Cohen-Colbourn-Ling 224 11229 Colbourn-Martirosyan-Trung-Walker 238 11407 Cohen-Colbourn-Ling 240 11678 Colbourn-Martirosyan-Trung-Walker 256 11691 Colbourn-Martirosyan-Trung-Walker 272 11698 Colbourn-Martirosyan-Trung-Walker 288 12148 Colbourn-Martirosyan-Trung-Walker 884 12376 Cyclotomy (Colbourn) 911 12754 Cyclotomy (Colbourn) 1052 14714 Cyclotomy (Colbourn) 1094 15302 Cyclotomy (Colbourn) 1164 16282 Cyclotomy (Colbourn) 1290 18046 Cyclotomy (Colbourn) 1304 18242 Cyclotomy (Colbourn) 1331 19104 Power N-CT11^3 1374 19222 Cyclotomy (Colbourn) 1430 20006 Cyclotomy (Colbourn) 1700 20189 Chateauneuf-Kreher doubling 1768 20345 Chateauneuf-Kreher doubling 1804 20723 Chateauneuf-Kreher doubling 1822 20736 Chateauneuf-Kreher doubling 1848 21472 Cohen-Colbourn-Ling 1936 21490 Colbourn-Martirosyan-Trung-Walker 2156 21563 Cohen-Colbourn-Ling 2352 21836 Cohen-Colbourn-Ling 2464 21854 Colbourn-Martirosyan-Trung-Walker 2744 21927 Cohen-Colbourn-Ling 2816 22145 Colbourn-Martirosyan-Trung-Walker 3136 22218 Colbourn-Martirosyan-Trung-Walker 3332 22396 Cohen-Colbourn-Ling 3584 22509 Colbourn-Martirosyan-Trung-Walker 3808 22687 Colbourn-Martirosyan-Trung-Walker 3840 22958 Colbourn-Martirosyan-Trung-Walker 4096 22971 Colbourn-Martirosyan-Trung-Walker 4352 22978 Colbourn-Martirosyan-Trung-Walker 4608 23428 Colbourn-Martirosyan-Trung-Walker 4624 23866 Colbourn-Martirosyan-Trung-Walker 4802 24085 Cohen-Colbourn-Ling 4968 24102 Power N-CT19^3Line(6) 5168 24136 Colbourn-Martirosyan-Trung-Walker 5232 24361 Colbourn-Martirosyan-Trung-Walker 5488 24376 Colbourn-Martirosyan-Trung-Walker 5760 24601 Colbourn-Martirosyan-Trung-Walker 5776 24616 Colbourn-Martirosyan-Trung-Walker 6080 24826 Colbourn-Martirosyan-Trung-Walker 6192 25051 Colbourn-Martirosyan-Trung-Walker 6256 25066 Colbourn-Martirosyan-Trung-Walker 6272 25081 Colbourn-Martirosyan-Trung-Walker 6384 25096 Colbourn-Martirosyan-Trung-Walker 6800 25177 Cohen-Colbourn-Ling 7072 25369 Cohen-Colbourn-Ling 7184 25576 Colbourn-Martirosyan-Trung-Walker 7248 25666 Colbourn-Martirosyan-Trung-Walker 7312 25696 Colbourn-Martirosyan-Trung-Walker 7376 25741 Colbourn-Martirosyan-Trung-Walker 7440 25786 Colbourn-Martirosyan-Trung-Walker 7488 25906 Colbourn-Martirosyan-Trung-Walker 7600 25936 Colbourn-Martirosyan-Trung-Walker 7632 25981 Colbourn-Martirosyan-Trung-Walker 7728 26026 Colbourn-Martirosyan-Trung-Walker 8428 26155 Cohen-Colbourn-Ling 8568 26350 Cohen-Colbourn-Ling 9632 26446 Colbourn-Martirosyan-Trung-Walker 9724 26601 Cohen-Colbourn-Ling 9792 26641 Colbourn-Martirosyan-Trung-Walker 10000 26806 Colbourn-Martirosyan-Trung-Walker

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