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

Last Updated Sat Nov 14 06:42:46 MST 2009

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 orthogonal array 6 21 Johnson-Entringer 12 24 Cyclic (Colbourn-Keri) 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 Cyclic (Colbourn-Keri) 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 Cyclic, derived (Colbourn-Keri) 71 71 Cyclic, derived (Colbourn-Keri) 79 79 Cyclic, derived (Colbourn-Keri) 83 83 Cyclic, derived (Colbourn-Keri) 89 88 Torres-Jimenez 97 97 Cyclic, derived (Colbourn-Keri) 101 99 Torres-Jimenez 102 103 Cyclic, derived (Colbourn-Keri) 103 104 Cyclotomy (Colbourn) 107 106 Torres-Jimenez 109 108 Torres-Jimenez 144 112 Power 12^2,c 145 134 Add a factor 148 140 IPOG-F (NIST) postop NCK 152 141 IPOG-F (NIST) postop NCK 155 142 IPOG-F (NIST) postop NCK 162 144 IPOG-F (NIST) postop NCK 165 145 IPOG-F (NIST) postop NCK 169 146 IPOG-F (NIST) postop NCK 173 147 IPOG-F (NIST) postop NCK 175 148 IPOG-F (NIST) postop NCK 178 149 IPOG-F (NIST) postop NCK 185 150 IPOG-F (NIST) postop NCK 190 152 IPOG-F (NIST) postop NCK 195 153 IPOG-F (NIST) postop NCK 199 154 IPOG-F (NIST) postop NCK 207 156 IPOG-F (NIST) 209 157 IPOG-F (NIST) 215 158 IPOG-F (NIST) 218 159 IPOG-F (NIST) 223 160 IPOG-F (NIST) 228 161 IPOG-F (NIST) 231 163 IPOG-F (NIST) 242 164 IPOG-F (NIST) 246 165 IPOG-F (NIST) 266 166 Torres-Jimenez 289 167 Torres-Jimenez 308 174 IPOG-F (NIST) 324 175 Power 18^2 358 179 Cyclic, derived (Colbourn-Keri) 363 183 IPOG-F (NIST) 366 184 IPOG-F (NIST) 383 185 IPOG-F (NIST) 389 186 IPOG-F (NIST) 405 187 IPOG-F (NIST) 605 188 Torres-Jimenez 726 197 Power 11^3,cT5 1332 200 Power 11^3,+1c 1368 225 Power 13^3S6c 1476 234 Power 13^3S5c 1596 243 Power 13^3S4c 1728 252 Power 13^3S3c 1872 261 Power 13^3T1T1c 2028 270 Power 13^3,T1c 2304 277 Power 16^3,cT4T4 4248 280 Power 13^4T8S12c 5097 285 Power 13^4T7S12c 10000 288 Power 13^4S13c

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