Table for CAN(3,k,14) 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,14) 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 4 2744 Derive from strength 4 5 2842 Li-Ji-Yin 6 2940 Ji-Yin 11 3185 ordered design (CCL) 12 3458 ordered design (CCL) 14 3549 ordered design (CCL) 15 3967 orthogonal array fuse fuse postop NCK 16 4002 orthogonal array fuse fuse postop NCK 17 4013 orthogonal array fuse fuse postop NCK 18 4014 orthogonal array fuse fuse postop NCK 20 6058 Chateauneuf-Kreher doubling 22 6149 Chateauneuf-Kreher doubling 24 6474 Chateauneuf-Kreher doubling 26 6591 Chateauneuf-Kreher doubling 28 6682 Chateauneuf-Kreher doubling 30 7113 Chateauneuf-Kreher doubling 32 7161 Chateauneuf-Kreher doubling 34 7185 Chateauneuf-Kreher doubling 36 7225 Chateauneuf-Kreher doubling 273 8187 Raaphorst-Moura-Stevens fuse fuse 307 9819 Raaphorst-Moura-Stevens fuse fuse fuse 324 12238 Cohen-Colbourn-Ling 884 12376 Cyclotomy (Colbourn) 1052 14714 Cyclotomy (Colbourn) 1094 15302 Cyclotomy (Colbourn) 1164 16282 Cyclotomy (Colbourn) 1290 16734 Cohen-Colbourn-Ling 1365 16747 Cohen-Colbourn-Ling 1638 17677 Cohen-Colbourn-Ling 1683 18250 Cohen-Colbourn-Ling 1723 18282 Cohen-Colbourn-Ling 1747 18298 Cohen-Colbourn-Ling 1771 18378 Cohen-Colbourn-Ling 2067 18394 Cohen-Colbourn-Ling 2187 18410 Cohen-Colbourn-Ling 3003 18570 Cohen-Colbourn-Ling 3276 18843 Cohen-Colbourn-Ling 3822 18934 Cohen-Colbourn-Ling 4095 19352 Cohen-Colbourn-Ling 4368 19387 Cohen-Colbourn-Ling 4370 19481 Cohen-Colbourn-Ling fuse fuse 4591 19664 Cohen-Colbourn-Ling fuse 4642 19680 Cohen-Colbourn-Ling fuse 4914 19952 Cohen-Colbourn-Ling fuse 5220 21344 Cohen-Colbourn-Ling fuse 5508 21805 Cohen-Colbourn-Ling 5526 21877 Cohen-Colbourn-Ling 5676 23553 Cohen-Colbourn-Ling 6006 23574 Cohen-Colbourn-Ling 6280 24339 Cohen-Colbourn-Ling 6552 24779 Cohen-Colbourn-Ling 6642 24902 Cohen-Colbourn-Ling 6691 24983 Cohen-Colbourn-Ling 6804 25118 Cohen-Colbourn-Ling 7075 25143 Cohen-Colbourn-Ling 7164 25334 Cohen-Colbourn-Ling 7364 25335 Cohen-Colbourn-Ling 7542 25388 Cohen-Colbourn-Ling 7616 25514 Cohen-Colbourn-Ling 7650 25568 Cohen-Colbourn-Ling 7758 25604 Cohen-Colbourn-Ling 8084 25664 Cohen-Colbourn-Ling 8840 25751 Cohen-Colbourn-Ling 9090 26090 Cohen-Colbourn-Ling 9724 26094 Cohen-Colbourn-Ling 9990 26306 Cohen-Colbourn-Ling 10000 26342 Cohen-Colbourn-Ling
Graph: