Table for CAN(4,k,2) for k up to 10000

Last Updated Sat Mar 21 11:14:15 MST 2015

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;4,k,2) 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 5 16 Derive from strength 5 6 21 Derive from strength 5 12 24 Cyclotomy (Colbourn) 13 32 Derive from strength 5 17 35 simulated annealing (Torres+Rodriguez) 18 36 simulated annealing (Torres+Rodriguez) 20 39 Hadamard (Colbourn-Keri) postop NCK 21 42 Cyclic (Colbourn-Keri) 22 44 Cyclic (Colbourn-Keri) 24 46 Cyclotomy (Colbourn) 25 50 Cyclic (Colbourn-Keri) 26 51 simulated annealing (Torres+Rodriguez) 28 53 simulated annealing (Torres+Rodriguez) 30 56 simulated annealing (Torres+Rodriguez) 32 58 simulated annealing (Torres+Rodriguez) 33 61 simulated annealing (Torres+Rodriguez) 35 64 simulated annealing (Torres+Rodriguez) 37 65 simulated annealing (Torres+Rodriguez) 38 66 simulated annealing (Torres+Rodriguez) 67 67 Cyclotomy (Colbourn) 71 71 Cyclotomy (Colbourn) 79 79 Derive from strength 5 83 83 Cyclotomy (Colbourn) 89 87 Cyclotomy (Colbourn) postop NCK 97 94 Torres-Jimenez 101 98 Torres-Jimenez 107 102 Torres-Jimenez 109 105 Torres-Jimenez 113 107 Torres-Jimenez 120 110 Power CZ2-12.4-10.1 144 112 Power CT12^2,c 145 121 Torres-Jimenez 151 129 Torres-Jimenez 156 130 Torres-Jimenez 159 134 Torres-Jimenez 169 135 Torres-Jimenez 180 145 Torres-Jimenez 192 146 Torres-Jimenez 196 147 Torres-Jimenez 208 154 Torres-Jimenez 213 156 Torres-Jimenez 217 157 Torres-Jimenez 222 158 Torres-Jimenez 256 160 Power CZ2-16.5 272 162 Power CZ2-17.4-16.1 289 166 Power CZ2-17.5 306 169 Power CZ2-18.4-17.1 324 170 Power CZ2-18.5 338 173 Torres-Jimenez 354 174 Torres-Jimenez 405 176 Power CZ3-9.8-5.1 486 180 Power CZ3-9.8-6.1 729 184 Power CZ3-9.9 792 188 Power CZ3-11.7-8.1-9.1 880 190 Power CZ3-11.7-8.1-10.1 968 192 Power CZ3-11.8-8.1 990 194 Power CZ3-11.7-9.1-10.1 1100 196 Power CZ3-11.7-10.1-10.1 1210 198 Power CZ3-11.8-10.1 1332 200 Power CT11^3,+1c 1368 216 Power CZ3-13.3-12.6 1476 224 Power CZ3-13.4-12.5 1596 233 Power CZ3-13.5-12.4 1728 242 Power CZ3-13.6-12.3 1872 251 Power CZ3-13.7-12.1-12.1 2028 260 Power CZ3-13.8-12.1 2304 263 Power CZ3-16.7-12.1-12.1 2496 271 Power CZ3-16.7-12.1-13.1 3395 272 Power CZ4-13.0-12.12-4.1 4248 276 Power CZ4-13.0-12.12-5.1 6781 280 Power CZ4-13.0-12.12-8.1 7625 284 Power CZ4-13.0-12.12-9.1 8466 286 Power CZ4-13.0-12.12-10.1 10000 288 Power CT13^4S13c

Graph: