Table for CAN(3,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;3,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 18 4096 orthogonal array 20 6853 fuse symbols 34 7936 Chateauneuf-Kreher doubling 36 8386 Chateauneuf-Kreher doubling 38 11173 Chateauneuf-Kreher doubling 272 11776 Colbourn-Martirosyan-Trung-Walker 288 12226 Colbourn-Martirosyan-Trung-Walker 306 13344 Colbourn-Martirosyan-Trung-Walker 320 15988 Colbourn-Martirosyan-Trung-Walker 324 16381 Power 18^2 368 17071 Colbourn-Martirosyan-Trung-Walker 448 18091 Colbourn-Martirosyan-Trung-Walker 464 18316 Colbourn-Martirosyan-Trung-Walker 480 18541 Colbourn-Martirosyan-Trung-Walker 496 18766 Colbourn-Martirosyan-Trung-Walker 512 18991 Colbourn-Martirosyan-Trung-Walker 544 19216 Colbourn-Martirosyan-Trung-Walker 576 19666 Colbourn-Martirosyan-Trung-Walker 578 19712 Cohen-Colbourn-Ling 612 20162 Cohen-Colbourn-Ling 648 21062 Cohen-Colbourn-Ling 4352 23056 Colbourn-Martirosyan-Trung-Walker 4608 23506 Colbourn-Martirosyan-Trung-Walker 4914 24571 linear hash family 5202 26944 Colbourn-Martirosyan-Trung-Walker 5472 29281 Colbourn-Martirosyan-Trung-Walker 5776 29311 Colbourn-Martirosyan-Trung-Walker 5888 29806 Colbourn-Martirosyan-Trung-Walker 5904 30826 Colbourn-Martirosyan-Trung-Walker 5984 30886 Colbourn-Martirosyan-Trung-Walker 6256 30901 Colbourn-Martirosyan-Trung-Walker 6272 31276 Colbourn-Martirosyan-Trung-Walker 6992 31306 Colbourn-Martirosyan-Trung-Walker 7168 31846 Colbourn-Martirosyan-Trung-Walker 7424 32071 Colbourn-Martirosyan-Trung-Walker 7600 32296 Colbourn-Martirosyan-Trung-Walker 7680 32521 Colbourn-Martirosyan-Trung-Walker 7872 32746 Colbourn-Martirosyan-Trung-Walker 7936 32971 Colbourn-Martirosyan-Trung-Walker 8144 33196 Colbourn-Martirosyan-Trung-Walker 8192 33226 Colbourn-Martirosyan-Trung-Walker 8512 33451 Colbourn-Martirosyan-Trung-Walker 8704 33676 Colbourn-Martirosyan-Trung-Walker 8816 34126 Colbourn-Martirosyan-Trung-Walker 9120 34351 Colbourn-Martirosyan-Trung-Walker 9216 34546 Colbourn-Martirosyan-Trung-Walker 9248 34592 Colbourn-Martirosyan-Trung-Walker 9792 35042 Cohen-Colbourn-Ling 9826 35328 Cohen-Colbourn-Ling 10000 35492 Cohen-Colbourn-Ling

Graph: