Table for CAN(3,k,3) for k up to 10000

Last Updated Tue Nov 18 04:23:58 MST 2014

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,3) 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 27 orthogonal array 6 33 Chateauneuf-Kreher NRB 7 39 SAT Local Search (Hnich et al.) 8 42 cross-sum (CKRS) 14 45 Cover starter (Colbourn, Torres-Jimenez) 16 51 Cover starter (Colbourn, Torres-Jimenez) 17 58 Torres Jimenez 20 59 simulated annealing (AG-TJ-H) 22 66 Cyclic (Colbourn) 23 69 Cyclic (Colbourn) 24 71 simulated annealing (AG-TJ-H) 26 72 simulated annealing (AG-TJ-H) 28 75 Chateauneuf-Kreher doubling 32 81 Chateauneuf-Kreher doubling 34 88 Chateauneuf-Kreher doubling 40 89 Chateauneuf-Kreher doubling 46 93 Cover starter (Colbourn, Torres-Jimenez) 47 95 Cover starter (Colbourn, Torres-Jimenez) 48 97 Cover starter (Colbourn, Torres-Jimenez) 49 99 Cover starter (Colbourn, Torres-Jimenez) 52 102 simulated annealing (AG-TJ-H) 59 103 simulated annealing (AG-TJ-H) 60 104 simulated annealing (AG-TJ-H) 63 116 Colbourn-Martirosyan-Trung-Walker 64 117 Chateauneuf-Kreher doubling 66 118 Colbourn-Martirosyan-Trung-Walker 69 121 Colbourn-Martirosyan-Trung-Walker 72 123 Colbourn-Martirosyan-Trung-Walker 78 124 Colbourn-Martirosyan-Trung-Walker 84 126 Cohen-Colbourn-Ling 90 131 simulated annealing (AG-TJ-H) 98 132 Cohen-Colbourn-Ling 101 133 simulated annealing (AG-TJ-H) 106 134 simulated annealing (AG-TJ-H) 112 135 Cohen-Colbourn-Ling 118 136 simulated annealing (AG-TJ-H) 140 138 Cohen-Colbourn-Ling 150 148 Cohen-Colbourn-Ling 196 150 Cohen-Colbourn-Ling 210 156 Cohen-Colbourn-Ling 224 166 Cohen-Colbourn-Ling 225 167 Cohen-Colbourn-Ling 240 172 Cohen-Colbourn-Ling 280 174 Cohen-Colbourn-Ling 300 180 Cohen-Colbourn-Ling 308 183 Cohen-Colbourn-Ling 322 186 Cohen-Colbourn-Ling 336 188 Cohen-Colbourn-Ling 364 189 Cohen-Colbourn-Ling 392 192 Cohen-Colbourn-Ling 448 198 Cohen-Colbourn-Ling 476 205 Cohen-Colbourn-Ling 480 210 Cohen-Colbourn-Ling 520 215 Cohen-Colbourn-Ling 560 218 Cohen-Colbourn-Ling 590 220 Cohen-Colbourn-Ling 600 221 Cohen-Colbourn-Ling 630 222 Cohen-Colbourn-Ling 640 224 Cohen-Colbourn-Ling 702 225 Power CZ3-13.4-6.1-9.1 1014 228 Power CZ3-13.5-6.1 1352 234 Power CZ3-13.5-8.1 1521 237 Power CZ3-13.5-9.1 1690 240 Power CZ3-13.5-10.1 2028 246 Power CZ3-13.5-12.1 2198 252 Power CZ3-14.6 2744 264 Power CZ3-16.3-14.1-14.1-14.1 3136 270 Power CZ3-16.4-14.1-14.1 3584 276 Power CZ3-16.5-14.1 4096 282 Power CZ3-16.6 4097 300 Add a factor 4608 306 Power CZ3-19.3-16.1-16.1-18.1 4788 308 Power CZ3-19.4-14.1-18.1 4864 312 Power CZ3-19.4-16.1-16.1 5472 314 Power CZ3-19.4-16.1-18.1 5776 320 Power CZ3-19.5-16.1 6498 322 Power CZ3-19.5-18.1 6859 328 Power CZ3-19.6 6860 330 Power CZ3-20.6 6861 348 Add a factor 7803 352 Colbourn-Martirosyan-Trung-Walker 8232 354 Colbourn-Martirosyan-Trung-Walker 8892 360 Colbourn-Martirosyan-Trung-Walker 9408 362 Colbourn-Martirosyan-Trung-Walker 10000 368 Colbourn-Martirosyan-Trung-Walker

Graph: