Table for CAN(2,k,12) for k up to 20000

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;2,k,12) 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 7 144 orthogonal array 14 166 orthogonal array 15 168 projection (Colbourn) 16 192 heuristic exchange (Nayeri-Colbourn) 18 199 group 1-rotational (Meagher-Stevens, Colbourn) 19 210 group 1-rotational (Meagher-Stevens, Colbourn) 20 221 group 1-rotational (Meagher-Stevens, Colbourn) 21 232 group 1-rotational (Meagher-Stevens, Colbourn) 22 243 group 1-rotational (Meagher-Stevens, Colbourn) 23 254 group 1-rotational (Meagher-Stevens, Colbourn) 24 265 group 1-rotational (Meagher-Stevens, Colbourn) 48 276 CMMSSY 2.3 49 287 CMMSSY 2.2 97 298 CMMSSY 2.3 105 300 CMMSSY 2.2 195 320 CMMSSY 2.2 210 322 CMMSSY 2.2 225 324 CMMSSY 2.2 240 348 CMMSSY 2.2 251 353 CMMSSY 2.2 270 355 CMMSSY 2.2 285 366 CMMSSY 2.2 300 377 CMMSSY 2.2 323 386 CMMSSY 2.2 341 397 CMMSSY 2.2 360 408 CMMSSY 2.2 379 419 CMMSSY 2.2 666 430 CMMSSY 2.3 735 432 CMMSSY 2.3 1345 452 CMMSSY 2.2 1470 454 CMMSSY 2.2 1575 456 CMMSSY 2.2 2704 474 CMMSSY 2.2 2940 476 CMMSSY 2.2 3150 478 CMMSSY 2.2 3375 480 CMMSSY 2.2 3600 504 CMMSSY 2.2 3780 509 CMMSSY 2.2 4050 511 CMMSSY 2.2 4275 522 CMMSSY 2.2 4500 533 CMMSSY 2.2 4860 542 CMMSSY 2.2 5130 553 CMMSSY 2.2 5415 564 CMMSSY 2.2 5780 573 CMMSSY 2.2 9240 584 CMMSSY 2.2 10185 586 CMMSSY 2.3 11025 588 CMMSSY 2.2 18577 606 CMMSSY 2.2 20000 608 CMMSSY 2.2

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