Table for CAN(3,k,20) 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,20) 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 8000 orthogonal array (Ji-Yin) 11 8930 ordered design (CCL) 12 9500 ordered design (CCL) 14 9690 ordered design (CCL) 16 9880 ordered design (CCL) 20 10070 ordered design (CCL) 21 11992 orthogonal array fuse fuse fuse postop NCK 22 12016 orthogonal array fuse fuse fuse postop NCK 23 12029 orthogonal array fuse fuse fuse postop NCK 24 12056 orthogonal array fuse fuse fuse postop NCK 26 15219 orthogonal array fuse fuse fuse fuse fuse postop NCK 28 18354 Chateauneuf-Kreher doubling 30 18544 Chateauneuf-Kreher doubling 32 18639 Chateauneuf-Kreher doubling 34 18886 Chateauneuf-Kreher doubling 38 19095 Chateauneuf-Kreher doubling 40 19475 Chateauneuf-Kreher doubling 42 21606 Chateauneuf-Kreher doubling 44 21649 Chateauneuf-Kreher doubling 46 21681 Chateauneuf-Kreher doubling 48 21765 Chateauneuf-Kreher doubling 553 24327 Raaphorst-Moura-Stevens fuse fuse fuse 651 31239 Raaphorst-Moura-Stevens fuse fuse fuse fuse fuse 1802 36040 Cyclotomy (Colbourn) 2142 42840 Cyclotomy (Colbourn) 2162 43220 Cyclotomy (Colbourn) 2342 46820 Cyclotomy (Colbourn) 2375 49541 Cohen-Colbourn-Ling 2395 49731 Cohen-Colbourn-Ling 2425 49902 Cohen-Colbourn-Ling 2655 49921 Cohen-Colbourn-Ling 2760 49959 Cohen-Colbourn-Ling 2765 49978 Cohen-Colbourn-Ling 2850 52259 Cohen-Colbourn-Ling 2874 52479 Cohen-Colbourn-Ling 2910 52677 Cohen-Colbourn-Ling 3186 52699 Cohen-Colbourn-Ling 3312 52743 Cohen-Colbourn-Ling 3318 52765 Cohen-Colbourn-Ling 3512 54473 Cohen-Colbourn-Ling 3576 54569 Cohen-Colbourn-Ling 3584 54593 Cohen-Colbourn-Ling 3592 54737 Cohen-Colbourn-Ling 3616 54833 Cohen-Colbourn-Ling 3648 54929 Cohen-Colbourn-Ling 3800 55001 Cohen-Colbourn-Ling 3832 55241 Cohen-Colbourn-Ling 3880 55457 Cohen-Colbourn-Ling 4248 55481 Cohen-Colbourn-Ling 6072 55521 Cohen-Colbourn-Ling 6083 56005 Cohen-Colbourn-Ling 6624 56091 Cohen-Colbourn-Ling 7728 56281 Cohen-Colbourn-Ling 8832 56471 Cohen-Colbourn-Ling 9384 56661 Cohen-Colbourn-Ling 10000 56851 Cohen-Colbourn-Ling
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