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

Last Updated Thu Jan 5 06:12:57 MST 2012

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 40 Constraint (Hnich et al.) 8 42 cross-sum (CKRS) 12 45 cross-sum (CKRS) 13 50 cross-sum (CKRS) postop NCK 14 51 cross-sum (CKRS) 15 57 cross-sum (CKRS) 20 60 Cyclotomy (Colbourn) 22 66 Cyclic (Colbourn) 23 69 Cyclic (Colbourn) 24 72 Cyclic (Colbourn) 25 75 Cyclic (Colbourn) 26 78 Cyclic (Colbourn) 28 81 Chateauneuf-Kreher doubling 30 87 Chateauneuf-Kreher doubling 40 90 Chateauneuf-Kreher doubling 42 98 Chateauneuf-Kreher doubling 44 100 Chateauneuf-Kreher doubling 46 103 Chateauneuf-Kreher doubling 48 106 Chateauneuf-Kreher doubling 60 108 Colbourn-Martirosyan-Trung-Walker 63 116 Colbourn-Martirosyan-Trung-Walker 66 118 Colbourn-Martirosyan-Trung-Walker 69 121 Colbourn-Martirosyan-Trung-Walker 72 124 Colbourn-Martirosyan-Trung-Walker 75 127 Colbourn-Martirosyan-Trung-Walker 78 128 Chateauneuf-Kreher doubling 80 130 Chateauneuf-Kreher doubling 84 133 Colbourn-Martirosyan-Trung-Walker 88 140 Chateauneuf-Kreher doubling 90 141 Colbourn-Martirosyan-Trung-Walker 92 143 Chateauneuf-Kreher doubling 99 144 Colbourn-Martirosyan-Trung-Walker 117 146 Colbourn-Martirosyan-Trung-Walker 120 148 Colbourn-Martirosyan-Trung-Walker 132 153 Power CZ3-7.0-6.7 140 156 Cohen-Colbourn-Ling 144 159 Power CZ3-7.1-6.6 160 162 Cohen-Colbourn-Ling 200 165 Cohen-Colbourn-Ling 216 174 Power CZ3-11.3-6.1-6.1-6.1 220 179 Cohen-Colbourn-Ling 252 180 Power CZ3-11.3-6.1-6.1-7.1 324 183 Power CZ3-11.3-6.1-6.1-9.1 378 189 Power CZ3-11.3-6.1-7.1-9.1 486 192 Power CZ3-11.3-6.1-9.1-9.1 567 198 Power CZ3-11.3-7.1-9.1-9.1 729 201 Power CZ3-11.3-9.1-9.1-9.1 810 207 Power CZ3-11.3-9.1-9.1-10.1 891 212 Power CZ3-11.4-9.1-9.1 900 213 Power CZ3-11.3-10.2-9.1 990 218 Power CZ3-11.4-9.1-10.1 1000 219 Power CZ3-11.3-10.3 1089 223 Power CZ3-11.5-9.1 1100 224 Power CZ3-11.4-10.1-10.1 1210 229 Power CZ3-11.5-10.1 1331 234 Power CZ3-11.6 1368 237 Power CZ3-13.0-12.6 1476 241 Power CZ3-13.1-12.5 1596 245 Power CZ3-13.2-12.4 1728 249 Power CZ3-13.3-12.3 1872 255 Power CZ3-13.4-12.1-12.1 2028 261 Power CZ3-13.5-12.1 2352 267 Power CZ3-16.3-12.1-14.1-14.1 2916 273 Power CZ4-9.8-6.1-6.1 3456 279 Power CZ4-9.7-8.2-6.1 3888 282 Power CZ4-9.8-6.1-8.1 4374 285 Power CZ4-9.9-6.1 4608 288 Power CZ4-9.7-8.3 5184 291 Power CZ4-9.8-8.1-8.1 5832 294 Power CZ4-9.9-8.1 6561 297 Power CZ4-9.10 6562 315 Add a factor 6859 318 Power CZ3-19.6 6860 333 Power CZ3-20.6 8000 336 Power CZ3-23.3-20.1-20.1-20.1 8182 343 Power CZ4-11.5-10.4-9.1 8265 344 Power CZ4-11.4-10.6 9000 348 Power CZ4-11.6-10.3-9.1 9091 349 Power CZ4-11.5-10.5 9600 351 Power CZ3-25.3-20.1-20.1-24.1 9801 352 Power CZ4-11.8-9.1-9.1 9900 353 Power CZ4-11.7-10.2-9.1 10000 354 Power CZ4-11.6-10.4

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