Table for CAN(3,k,15) 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;3,k,15) 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 6 3375 orthogonal array (Ji-Yin) 18 4094 fuse symbols 20 6851 fuse symbols 34 7636 Chateauneuf-Kreher doubling 36 7664 Chateauneuf-Kreher doubling 38 10855 Chateauneuf-Kreher doubling 40 10869 Chateauneuf-Kreher doubling 96 11055 Colbourn-Martirosyan-Trung-Walker 102 11309 Cohen-Colbourn-Ling 108 11759 Cohen-Colbourn-Ling 272 11774 fuse symbols 288 12224 fuse symbols 306 13342 fuse symbols 320 15986 fuse symbols 324 16373 Power 18^2 368 16771 Colbourn-Martirosyan-Trung-Walker 448 17791 Colbourn-Martirosyan-Trung-Walker 464 18016 Colbourn-Martirosyan-Trung-Walker 480 18241 Colbourn-Martirosyan-Trung-Walker 496 18466 Colbourn-Martirosyan-Trung-Walker 544 18648 Chateauneuf-Kreher doubling 576 18944 Colbourn-Martirosyan-Trung-Walker 578 19410 Cohen-Colbourn-Ling 612 19438 Cohen-Colbourn-Ling 648 20338 Cohen-Colbourn-Ling 1536 22335 Colbourn-Martirosyan-Trung-Walker 1632 22589 Colbourn-Martirosyan-Trung-Walker 1728 23039 Colbourn-Martirosyan-Trung-Walker 4352 23054 fuse symbols 4608 23504 fuse symbols 4914 24559 linear hash family 5202 26942 fuse symbols 5472 28981 Colbourn-Martirosyan-Trung-Walker 5776 29011 Colbourn-Martirosyan-Trung-Walker 5888 29506 Colbourn-Martirosyan-Trung-Walker 5904 30526 Colbourn-Martirosyan-Trung-Walker 5984 30586 Colbourn-Martirosyan-Trung-Walker 6256 30601 Colbourn-Martirosyan-Trung-Walker 6272 30976 Colbourn-Martirosyan-Trung-Walker 6992 31006 Colbourn-Martirosyan-Trung-Walker 7168 31546 Colbourn-Martirosyan-Trung-Walker 7424 31771 Colbourn-Martirosyan-Trung-Walker 7600 31996 Colbourn-Martirosyan-Trung-Walker 7680 32221 Colbourn-Martirosyan-Trung-Walker 7872 32446 Colbourn-Martirosyan-Trung-Walker 7936 32671 Colbourn-Martirosyan-Trung-Walker 8144 32853 Colbourn-Martirosyan-Trung-Walker 8512 32883 Colbourn-Martirosyan-Trung-Walker 8704 33108 Colbourn-Martirosyan-Trung-Walker 8816 33404 Colbourn-Martirosyan-Trung-Walker 9120 33629 Colbourn-Martirosyan-Trung-Walker 9216 33710 Chateauneuf-Kreher doubling 9248 34262 Cohen-Colbourn-Ling 9792 34318 Cohen-Colbourn-Ling 10000 34768 Cohen-Colbourn-Ling

Graph: