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

Last Updated Wed Sep 11 13:08:18 MST 2013

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).

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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) 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 40 89 Chateauneuf-Kreher doubling 42 93 Colbourn-Martirosyan-Trung-Walker 47 95 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 324 183 Power CZ3-11.3-6.1-6.1-9.1 384 186 Power CZ3-11.3-6.1-8.1-8.1 432 189 Power CZ3-11.3-6.1-8.1-9.1 512 192 Power CZ3-11.3-8.1-8.1-8.1 576 195 Power CZ3-11.3-8.1-8.1-9.1 648 198 Power CZ3-11.3-8.1-9.1-9.1 729 201 Power CZ3-11.3-9.1-9.1-9.1 810 204 Power CZ3-11.3-9.1-9.1-10.1 900 207 Power CZ3-11.3-10.2-9.1 1000 210 Power CZ3-11.3-10.3 1080 213 Power CZ3-13.3-9.1-10.1-12.1 1200 216 Power CZ3-13.3-10.1-10.1-12.1 1296 219 Power CZ3-13.3-12.2-9.1 1440 222 Power CZ3-13.3-12.2-10.1 1728 228 Power CZ3-13.3-12.3 1872 234 Power CZ3-13.4-12.1-12.1 2028 240 Power CZ3-13.5-12.1 2744 246 Power CZ3-16.3-14.1-14.1-14.1 3136 252 Power CZ3-16.4-14.1-14.1 3584 258 Power CZ3-16.5-14.1 4096 264 Power CZ3-16.6 4352 272 Power CZ3-17.4-16.1-16.1 4912 280 Power CZ3-19.2-18.3-16.1 5184 286 Power CZ3-19.3-18.2-16.1 5832 288 Power CZ3-19.3-18.3 6156 294 Power CZ3-19.4-18.1-18.1 6561 297 Power CZ4-9.10 6860 306 Power CZ3-20.6 7040 311 Power CZ3-23.3-16.1-20.1-22.1 8000 312 Power CZ3-23.3-20.1-20.1-20.1 8360 319 Power CZ3-23.3-19.1-20.1-22.1 8800 320 Power CZ3-23.3-20.1-20.1-22.1 9200 323 Power CZ3-23.4-20.1-20.1 9680 328 Power CZ3-23.3-22.2-20.1 10000 331 Power CZ3-23.4-20.1-22.1

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