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).

Change t: - + Change v: - + or go to Global Menu.
 k N Source 6 3375 orthogonal array (Ji-Yin) 7 3870 orthogonal array fuse postop NCK 8 3971 orthogonal array fuse postop NCK 9 4017 orthogonal array fuse postop NCK 10 4024 orthogonal array fuse postop NCK 11 4033 orthogonal array fuse postop NCK 12 4050 orthogonal array fuse postop NCK 13 4058 orthogonal array fuse postop NCK 14 4068 orthogonal array fuse postop NCK 15 4070 orthogonal array fuse postop NCK 16 4072 orthogonal array fuse postop NCK 18 4087 orthogonal array fuse postop NCK 19 6415 orthogonal array fuse fuse fuse fuse postop NCK 20 6459 orthogonal array fuse fuse fuse fuse postop NCK 22 7533 Chateauneuf-Kreher doubling 24 7564 Chateauneuf-Kreher doubling 26 7572 Chateauneuf-Kreher doubling 28 7582 Chateauneuf-Kreher doubling 30 7598 Chateauneuf-Kreher doubling 32 7600 Chateauneuf-Kreher doubling 34 7615 Chateauneuf-Kreher doubling 36 7657 Chateauneuf-Kreher doubling 273 8189 Raaphorst-Moura-Stevens fuse 307 9821 Raaphorst-Moura-Stevens fuse fuse 324 12732 Cohen-Colbourn-Ling 381 13709 Raaphorst-Moura-Stevens fuse fuse fuse fuse 448 14853 Chateauneuf-Kreher doubling 544 14867 Chateauneuf-Kreher doubling 546 14881 Chateauneuf-Kreher doubling 556 16513 Chateauneuf-Kreher doubling 580 16527 Chateauneuf-Kreher doubling 614 16541 Chateauneuf-Kreher doubling 698 17862 Cohen-Colbourn-Ling 756 17988 Cohen-Colbourn-Ling 921 18002 Cohen-Colbourn-Ling 1091 18016 Cohen-Colbourn-Ling 1351 18030 Cohen-Colbourn-Ling 1366 18044 Cohen-Colbourn-Ling 1638 18282 Cohen-Colbourn-Ling 1667 19234 Cohen-Colbourn-Ling 1752 19250 Cohen-Colbourn-Ling 1911 19257 Cohen-Colbourn-Ling 2184 19358 Cohen-Colbourn-Ling 2457 19404 Cohen-Colbourn-Ling 2730 19411 Cohen-Colbourn-Ling 3003 19420 Cohen-Colbourn-Ling 3276 19437 Cohen-Colbourn-Ling 3549 19445 Cohen-Colbourn-Ling 3822 19455 Cohen-Colbourn-Ling 4095 19457 Cohen-Colbourn-Ling 4368 19459 Cohen-Colbourn-Ling 4370 19483 Cohen-Colbourn-Ling fuse 4591 19666 Cohen-Colbourn-Ling 4642 19682 Cohen-Colbourn-Ling 4914 19954 Cohen-Colbourn-Ling 5220 21346 Cohen-Colbourn-Ling 5526 22306 Cohen-Colbourn-Ling 5798 24918 Cohen-Colbourn-Ling 5833 25069 Cohen-Colbourn-Ling 6140 25728 Cohen-Colbourn-Ling 6189 25922 Cohen-Colbourn-Ling 6257 25954 Cohen-Colbourn-Ling 6279 25991 Cohen-Colbourn-Ling 6552 26055 Cohen-Colbourn-Ling 6825 26799 Cohen-Colbourn-Ling 6826 26871 Cohen-Colbourn-Ling 6858 27154 Cohen-Colbourn-Ling 7020 27309 Cohen-Colbourn-Ling 7098 27334 Cohen-Colbourn-Ling 7644 27673 Cohen-Colbourn-Ling 8190 27977 Cohen-Colbourn-Ling 8736 27979 Cohen-Colbourn-Ling 9009 28346 Cohen-Colbourn-Ling 9147 28648 Cohen-Colbourn-Ling 9249 28680 Cohen-Colbourn-Ling 9283 28694 Cohen-Colbourn-Ling 9828 28772 Cohen-Colbourn-Ling 10000 29688 Cohen-Colbourn-Ling
Graph: