Table for CAN(3,k,12) 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,12) 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 1728 orthogonal array (Ji-Yin) 11 2046 ordered design (CCL) 12 2159 orthogonal array fuse postop NCK 13 2166 orthogonal array fuse postop NCK 14 2174 orthogonal array fuse postop NCK 15 3523 orthogonal array fuse fuse fuse fuse postop NCK 16 3569 orthogonal array fuse fuse fuse fuse postop NCK 17 3627 orthogonal array fuse fuse fuse fuse postop NCK 18 3673 orthogonal array fuse fuse fuse fuse postop NCK 20 3839 Chateauneuf-Kreher doubling 22 3850 Chateauneuf-Kreher doubling 24 3963 Chateauneuf-Kreher doubling 26 3970 Chateauneuf-Kreher doubling 28 3989 Chateauneuf-Kreher doubling 59 4362 Sherwood-Martirosyan-Colbourn fuse postop NCK 60 5567 Cohen-Colbourn-Ling 66 5578 Cohen-Colbourn-Ling 72 5691 Cohen-Colbourn-Ling 78 5698 Cohen-Colbourn-Ling 84 5717 Cohen-Colbourn-Ling 143 6102 Colbourn-Martirosyan-Trung-Walker 156 6215 Colbourn-Martirosyan-Trung-Walker 169 6222 Colbourn-Martirosyan-Trung-Walker 182 6230 Colbourn-Martirosyan-Trung-Walker 200 6563 Sherwood-Martirosyan-Colbourn fuse 602 7224 Cyclotomy (Colbourn) 614 7356 Cyclotomy (Colbourn) 661 7932 Cyclotomy (Colbourn) 710 8520 Cyclotomy (Colbourn) 733 8796 Cyclotomy (Colbourn) 758 9084 Cyclotomy (Colbourn) 769 9228 Cyclotomy (Colbourn) 770 9360 Cyclotomy (Colbourn) 830 9948 Cyclotomy (Colbourn) 854 10236 Cyclotomy (Colbourn) 877 10524 Cyclotomy (Colbourn) 938 11244 Cyclotomy (Colbourn) 1014 11338 Cohen-Colbourn-Ling 1092 11357 Cohen-Colbourn-Ling 1098 11690 Cohen-Colbourn-Ling 1176 11701 Cohen-Colbourn-Ling 1182 11712 Cohen-Colbourn-Ling 1200 11723 Cohen-Colbourn-Ling 1204 11844 Chateauneuf-Kreher doubling 1228 11976 Chateauneuf-Kreher doubling 1859 12030 Colbourn-Martirosyan-Trung-Walker 2028 12143 Colbourn-Martirosyan-Trung-Walker 2197 12150 Colbourn-Martirosyan-Trung-Walker 2366 12158 Colbourn-Martirosyan-Trung-Walker 2535 12491 Colbourn-Martirosyan-Trung-Walker 2548 12623 Colbourn-Martirosyan-Trung-Walker 2600 12935 Colbourn-Martirosyan-Trung-Walker 2610 13550 Cohen-Colbourn-Ling 3612 13572 Cohen-Colbourn-Ling 3684 13704 Cohen-Colbourn-Ling 3809 14160 Colbourn-Martirosyan-Trung-Walker 3874 14196 Colbourn-Martirosyan-Trung-Walker 3952 14232 Colbourn-Martirosyan-Trung-Walker 4004 14268 Colbourn-Martirosyan-Trung-Walker 4199 14304 Colbourn-Martirosyan-Trung-Walker 4316 14388 Colbourn-Martirosyan-Trung-Walker 4433 14448 Colbourn-Martirosyan-Trung-Walker 4719 14496 Colbourn-Martirosyan-Trung-Walker 4992 14508 Colbourn-Martirosyan-Trung-Walker 5174 14616 Colbourn-Martirosyan-Trung-Walker 5356 14724 Colbourn-Martirosyan-Trung-Walker 5408 14736 Colbourn-Martirosyan-Trung-Walker 5694 14748 Colbourn-Martirosyan-Trung-Walker 5876 14844 Colbourn-Martirosyan-Trung-Walker 6643 14928 Colbourn-Martirosyan-Trung-Walker 7826 15024 Colbourn-Martirosyan-Trung-Walker 7982 15156 Colbourn-Martirosyan-Trung-Walker 8428 15482 Cohen-Colbourn-Ling 8596 15614 Cohen-Colbourn-Ling 9254 16190 Cohen-Colbourn-Ling 9529 16596 Colbourn-Martirosyan-Trung-Walker 9940 16778 Cohen-Colbourn-Ling 9997 17028 Colbourn-Martirosyan-Trung-Walker 10000 17054 Cohen-Colbourn-Ling

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