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

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).

Go to Global Menu.

Change t: - +

Change v: - +

k N Source 4 27 orthogonal array 6 33 Chateauneuf-Kreher NRB 7 40 Constraint (Hnich et al.) 8 42 Soriano 12 45 Soriano 13 62 simulated annealing (Cohen) 14 64 Chateauneuf-Kreher doubling 16 68 Chateauneuf-Kreher doubling 18 71 Chateauneuf-Kreher doubling 20 73 Chateauneuf-Kreher doubling 24 75 Chateauneuf-Kreher doubling 25 85 simulated annealing (Cohen) 27 87 simulated annealing (Cohen) 30 91 Colbourn-Martirosyan-Trung-Walker 36 93 Colbourn-Martirosyan-Trung-Walker 37 99 Sherwood-Martirosyan-Colbourn 38 102 simulated annealing (Cohen) 40 103 Chateauneuf-Kreher doubling 41 106 simulated annealing (Cohen) 42 107 simulated annealing (Cohen) 43 108 simulated annealing (Cohen) 48 109 Chateauneuf-Kreher doubling 54 119 Colbourn-Martirosyan-Trung-Walker 60 121 Colbourn-Martirosyan-Trung-Walker 63 125 Colbourn-Martirosyan-Trung-Walker 72 127 Colbourn-Martirosyan-Trung-Walker 75 139 Colbourn-Martirosyan-Trung-Walker 81 141 Colbourn-Martirosyan-Trung-Walker 90 145 Colbourn-Martirosyan-Trung-Walker 96 147 Cohen-Colbourn-Ling 108 149 Colbourn-Martirosyan-Trung-Walker 111 157 Colbourn-Martirosyan-Trung-Walker 114 160 Colbourn-Martirosyan-Trung-Walker 120 161 Colbourn-Martirosyan-Trung-Walker 123 164 Colbourn-Martirosyan-Trung-Walker 126 165 Colbourn-Martirosyan-Trung-Walker 129 166 Colbourn-Martirosyan-Trung-Walker 144 169 Colbourn-Martirosyan-Trung-Walker 160 175 Cohen-Colbourn-Ling 162 176 Cohen-Colbourn-Ling 180 178 Cohen-Colbourn-Ling 189 184 Cohen-Colbourn-Ling 192 185 Cohen-Colbourn-Ling 216 187 Colbourn-Martirosyan-Trung-Walker 226 197 IPOG-F (NIST) 227 198 IPOG-F (NIST) 228 199 IPOG-F (NIST) 236 200 IPOG-F (NIST) 237 201 IPOG-F (NIST) 245 202 IPOG-F (NIST) 250 203 IPOG-F (NIST) 253 204 IPOG-F (NIST) 259 205 IPOG-F (NIST) 275 207 IPOG-F (NIST) 277 208 IPOG-F (NIST) 290 210 IPOG-F (NIST) 298 211 IPOG-F (NIST) 305 213 IPOG-F (NIST) 324 214 Cohen-Colbourn-Ling 332 217 IPOG-F (NIST) 341 218 IPOG-F (NIST) 345 219 IPOG-F (NIST) 354 220 IPOG-F (NIST) 360 221 IPOG-F (NIST) 362 222 IPOG-F (NIST) 365 223 IPOG-F (NIST) 374 224 IPOG-F (NIST) 392 225 IPOG-F (NIST) 399 226 IPOG-F (NIST) 411 227 IPOG-F (NIST) 415 228 IPOG-F (NIST) 421 229 IPOG-F (NIST) 434 230 IPOG-F (NIST) 437 231 IPOG-F (NIST) 450 232 IPOG-F (NIST) 451 233 IPOG-F (NIST) 460 234 IPOG-F (NIST) 466 235 IPOG-F (NIST) 478 236 IPOG-F (NIST) 491 237 IPOG-F (NIST) 494 238 IPOG-F (NIST) 511 239 IPOG-F (NIST) 513 240 IPOG-F (NIST) 523 241 IPOG-F (NIST) 549 242 IPOG-F (NIST) 556 243 IPOG-F (NIST) 559 244 IPOG-F (NIST) 571 245 IPOG-F (NIST) 575 246 IPOG-F (NIST) 581 247 IPOG-F (NIST) 616 248 IPOG-F (NIST) 629 249 IPOG-F (NIST) 639 250 IPOG-F (NIST) 650 251 IPOG-F (NIST) 664 252 IPOG-F (NIST) 673 253 IPOG-F (NIST) 676 254 IPOG-F (NIST) 1332 255 linear hash family 1348 287 IPOG-F (NIST) 1393 288 IPOG-F (NIST) 1395 289 IPOG-F (NIST) 1433 290 IPOG-F (NIST) 1471 291 IPOG-F (NIST) 1475 292 IPOG-F (NIST) 1502 293 IPOG-F (NIST) 1548 294 IPOG-F (NIST) 1566 295 IPOG-F (NIST) 1592 296 IPOG-F (NIST) 1637 297 IPOG-F (NIST) 1660 298 IPOG-F (NIST) 1690 299 IPOG-F (NIST) 1727 300 IPOG-F (NIST) 1778 301 IPOG-F (NIST) 1830 302 IPOG-F (NIST) 1866 303 IPOG-F (NIST) 1918 304 IPOG-F (NIST) 1926 305 IPOG-F (NIST) 1973 306 IPOG-F (NIST) 2000 307 IPOG-F (NIST) 2664 321 Chateauneuf-Kreher doubling 3996 339 Colbourn-Martirosyan-Trung-Walker 4044 371 Colbourn-Martirosyan-Trung-Walker 4179 372 Colbourn-Martirosyan-Trung-Walker 4185 373 Colbourn-Martirosyan-Trung-Walker 4299 374 Colbourn-Martirosyan-Trung-Walker 4413 375 Colbourn-Martirosyan-Trung-Walker 4422 376 Colbourn-Martirosyan-Trung-Walker 4425 380 Colbourn-Martirosyan-Trung-Walker 4506 381 Colbourn-Martirosyan-Trung-Walker 4644 382 Colbourn-Martirosyan-Trung-Walker 4698 383 Colbourn-Martirosyan-Trung-Walker 4776 384 Colbourn-Martirosyan-Trung-Walker 4911 385 Colbourn-Martirosyan-Trung-Walker 4980 386 Colbourn-Martirosyan-Trung-Walker 5070 387 Colbourn-Martirosyan-Trung-Walker 5181 388 Colbourn-Martirosyan-Trung-Walker 5334 389 Colbourn-Martirosyan-Trung-Walker 5388 390 Colbourn-Martirosyan-Trung-Walker 5490 392 Colbourn-Martirosyan-Trung-Walker 5598 393 Colbourn-Martirosyan-Trung-Walker 5754 394 Colbourn-Martirosyan-Trung-Walker 5778 395 Colbourn-Martirosyan-Trung-Walker 5919 396 Colbourn-Martirosyan-Trung-Walker 6000 397 Colbourn-Martirosyan-Trung-Walker 7092 411 Colbourn-Martirosyan-Trung-Walker 7992 413 Colbourn-Martirosyan-Trung-Walker 10000 423 Power 11^4

Graph: