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

Last Updated Sun Jun 26 08:57:56 MST 2022

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) 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) 61 105 two-stage SA (TJ-AG-I) 63 107 two-stage SA (TJ-AG-I) 65 108 two-stage SA (TJ-AG-I) 66 109 two-stage SA (TJ-AG-I) 67 110 two-stage SA (TJ-AG-I) 68 111 two-stage SA (TJ-AG-I) 69 112 two-stage SA (TJ-AG-I) 70 113 two-stage SA (TJ-AG-I) 71 114 two-stage SA (TJ-AG-I) 73 115 two-stage SA (TJ-AG-I) 75 116 two-stage SA (TJ-AG-I) 79 117 two-stage SA (TJ-AG-I) 83 118 two-stage SA (TJ-AG-I) 84 119 two-stage SA (TJ-AG-I) 85 120 two-stage SA (TJ-AG-I) 87 123 two-stage SA (TJ-AG-I) 89 124 two-stage SA (TJ-AG-I) 92 125 two-stage SA (TJ-AG-I) 96 126 two-stage SA (TJ-AG-I) 98 127 two-stage SA (TJ-AG-I) 105 128 two-stage SA (TJ-AG-I) 121 129 two-stage SA (TJ-AG-I) 125 130 two-stage SA (TJ-AG-I) 127 131 two-stage SA (TJ-AG-I) 128 132 two-stage SA (TJ-AG-I) 129 133 two-stage SA (TJ-AG-I) 130 134 two-stage SA (TJ-AG-I) 144 135 Cohen-Colbourn-Ling 146 139 two-stage SA (TJ-AG-I) 147 140 two-stage SA (TJ-AG-I) 148 141 two-stage SA (TJ-AG-I) 171 145 two-stage SA (TJ-AG-I) 180 146 two-stage SA (TJ-AG-I) 196 147 Cohen-Colbourn-Ling 211 153 Cohen-Colbourn-Ling 213 162 two-stage SA (TJ-AG-I) 231 163 two-stage SA (TJ-AG-I) 234 164 two-stage SA (TJ-AG-I) 240 168 two-stage SA (TJ-AG-I) 252 169 two-stage SA (TJ-AG-I) 280 171 Cohen-Colbourn-Ling 284 176 two-stage SA (TJ-AG-I) 302 177 two-stage SA (TJ-AG-I) 308 178 Cohen-Colbourn-Ling 333 179 two-stage SA (TJ-AG-I) 342 180 two-stage SA (TJ-AG-I) 378 183 two-stage SA (TJ-AG-I) 392 189 Cohen-Colbourn-Ling 395 190 two-stage SA (TJ-AG-I) 410 191 two-stage SA (TJ-AG-I) 413 192 two-stage SA (TJ-AG-I) 414 193 two-stage SA (TJ-AG-I) 448 195 Cohen-Colbourn-Ling 450 197 two-stage SA (TJ-AG-I) 472 199 two-stage SA (TJ-AG-I) 500 200 two-stage SA (TJ-AG-I) 540 203 two-stage SA (TJ-AG-I) 588 213 Colbourn-Martirosyan-TVT-Walker 594 217 Cohen-Colbourn-Ling 604 218 Cohen-Colbourn-Ling 631 219 Cohen-Colbourn-Ling 644 220 Cohen-Colbourn-Ling 654 222 Cohen-Colbourn-Ling 671 223 two-stage SA (TJ-AG-I) 674 224 Cohen-Colbourn-Ling 702 225 Power CZ3-13.4-6.1-9.1 704 227 Cohen-Colbourn-Ling 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 249 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 4352 303 Power CZ3-17.4-16.1-16.1 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 4896 313 Power CZ3-19.3-16.1-17.1-18.1 5472 314 Power CZ3-19.4-16.1-18.1 5776 320 Power CZ3-19.5-16.1 5814 321 Power CZ3-19.4-17.1-18.1 6498 322 Power CZ3-19.5-18.1 6859 328 Power CZ3-19.6 6860 330 Power CZ3-20.6 7168 348 Chateauneuf-Kreher doubling 8000 350 Power CZ3-23.3-20.1-20.1-20.1 8100 352 Colbourn-Martirosyan-TVT-Walker 8233 354 Cohen-Colbourn-Ling 8800 357 Power CZ3-23.3-20.1-20.1-22.1 8860 358 Power CZ3-23.1-22.4-20.1 9408 360 Colbourn-Martirosyan-TVT-Walker 9409 362 Cohen-Colbourn-Ling 9680 364 Power CZ3-23.3-22.2-20.1 9746 365 Power CZ3-23.1-22.5 10000 366 Colbourn-Martirosyan-TVT-Walker

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