Table for CAN(6,k,4) 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;6,k,4) 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 4096 orthogonal array 8 7225 composition 9 10248 Greedy (density) (Colbourn) 10 11266 paintball (Kuhn) 11 13882 Greedy (density) (Colbourn) 12 14888 paintball (Kuhn) 13 16880 paintball (Kuhn) 14 18416 Greedy (density) (Colbourn) 15 20256 Greedy (density) (Colbourn) 16 21562 Greedy (density) (Colbourn) 17 22779 Greedy (density) (Colbourn) 18 25212 IPOG-F (NIST) 19 26392 IPOG-F (NIST) 20 27534 IPOG-F (NIST) 21 28625 IPOG-F (NIST) 22 29640 IPOG-F (NIST) 23 30636 IPOG-F (NIST) 24 31591 IPOG-F (NIST) 25 32501 IPOG-F (NIST) 26 33369 IPOG-F (NIST) 27 34187 IPOG-F (NIST) 28 35006 IPOG-F (NIST) 29 35791 IPOG-F (NIST) 30 36570 IPOG-F (NIST) 31 37305 IPOG-F (NIST) 32 38015 IPOG-F (NIST) 33 38695 IPOG-F (NIST) 34 39356 IPOG-F (NIST) 35 40002 IPOG-F (NIST) 36 40638 IPOG-F (NIST) 37 55806 extend by one factor 38 70974 extend by one factor 39 86142 extend by one factor 40 101310 extend by one factor 41 116478 extend by one factor 42 131030 Martirosyan-Tran van Trung 44 132600 Martirosyan-Tran van Trung 46 134124 Martirosyan-Tran van Trung 48 135571 Martirosyan-Tran van Trung 50 148382 Martirosyan-Tran van Trung 52 150840 Martirosyan-Tran van Trung 54 152135 Martirosyan-Tran van Trung 56 153407 Martirosyan-Tran van Trung 58 154633 Martirosyan-Tran van Trung 60 157859 Martirosyan-Tran van Trung 62 161026 Martirosyan-Tran van Trung 64 178743 Martirosyan-Tran van Trung 66 179792 Martirosyan-Tran van Trung 68 180828 Martirosyan-Tran van Trung 70 204327 Martirosyan-Tran van Trung 72 205317 Martirosyan-Tran van Trung 74 220842 Martirosyan-Tran van Trung 169 236307 Power 13^2 170 257811 Power 14^2 171 283571 Power 15^2 256 301855 Power 16^2 289 318893 Power 17^2 290 352955 Power 18^2 361 369475 Power 19^2 362 385463 Power 20^2 363 400737 Power 21^2 364 414947 Power 22^2 529 428891 Power 23^2 530 442261 Power 24^2 625 455001 Power 25^2 626 467153 Power 26^2 729 478605 Power 27^2 730 490071 Power 28^2 841 501061 Power 29^2 842 511967 Power 30^2 961 522257 Power 31^2 1024 532197 Power 32^2 1025 541717 Power 33^2 1026 550971 Power 34^2 1027 560015 Power 35^2 1028 568919 Power 36^2 1029 638891 extend by one factor 1030 708863 extend by one factor 1031 778835 extend by one factor 1369 781271 Power 37^2 1370 860135 extend by one factor 10000 923023 Power 27^3

Graph: