Table for CAN(3,k,14) for k up to 10000

Last Updated Sat Nov 14 06:41:39 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;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 7 3471 Add a symbol (Chateauneuf-Kreher) 8 3653 Add a symbol (Chateauneuf-Kreher) 14 3654 simulated annealing (Cohen) 18 4034 orthogonal array fuse fuse postop NCK 20 6138 orthogonal array fuse fuse fuse fuse fuse postop NCK 28 6865 Chateauneuf-Kreher doubling 32 7245 Chateauneuf-Kreher doubling 34 7258 Chateauneuf-Kreher doubling 36 7271 Chateauneuf-Kreher doubling 38 9414 Chateauneuf-Kreher doubling 40 9700 Chateauneuf-Kreher doubling 56 10238 Cohen-Colbourn-Ling 70 10336 Cohen-Colbourn-Ling 84 10434 Cohen-Colbourn-Ling 96 10620 Colbourn-Martirosyan-Trung-Walker 102 10814 Cohen-Colbourn-Ling 112 11147 Cohen-Colbourn-Ling 196 11148 Cohen-Colbourn-Ling 224 11334 Colbourn-Martirosyan-Trung-Walker 238 11528 Cohen-Colbourn-Ling 272 11714 Colbourn-Martirosyan-Trung-Walker 288 12164 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) 1374 19222 Cyclotomy (Colbourn) 1430 20006 Cyclotomy (Colbourn) 1472 20594 Cyclotomy (Colbourn) 1768 20982 Chateauneuf-Kreher doubling 1822 21360 Chateauneuf-Kreher doubling 2744 22242 Cohen-Colbourn-Ling 3136 22428 Colbourn-Martirosyan-Trung-Walker 3584 22614 Colbourn-Martirosyan-Trung-Walker 3808 22808 Colbourn-Martirosyan-Trung-Walker 4352 22994 Colbourn-Martirosyan-Trung-Walker 4608 23444 Colbourn-Martirosyan-Trung-Walker 4624 23881 Colbourn-Martirosyan-Trung-Walker 4880 24106 Colbourn-Martirosyan-Trung-Walker 5168 24136 Colbourn-Martirosyan-Trung-Walker 5472 24586 Colbourn-Martirosyan-Trung-Walker 5776 24616 Colbourn-Martirosyan-Trung-Walker 5920 25081 Colbourn-Martirosyan-Trung-Walker 6256 25186 Colbourn-Martirosyan-Trung-Walker 6384 25501 Colbourn-Martirosyan-Trung-Walker 6688 25516 Colbourn-Martirosyan-Trung-Walker 6992 25561 Colbourn-Martirosyan-Trung-Walker 7600 26131 Colbourn-Martirosyan-Trung-Walker 7872 26356 Colbourn-Martirosyan-Trung-Walker 8096 26566 Colbourn-Martirosyan-Trung-Walker 8144 26581 Colbourn-Martirosyan-Trung-Walker 8512 26611 Colbourn-Martirosyan-Trung-Walker 8816 26836 Colbourn-Martirosyan-Trung-Walker 9120 27061 Colbourn-Martirosyan-Trung-Walker 10000 27070 Cohen-Colbourn-Ling

Graph: