Table for CAN(6,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;6,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).

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k N Source 7 729 orthogonal array 8 1395 extend by one factor 11 1449 Walker-Colbourn 12 2403 extend by one factor 13 2835 paintball (Kuhn) 14 3105 paintball (Kuhn) 15 3384 paintball (Kuhn) 16 3660 paintball (Kuhn) 17 3917 Greedy (density) (Colbourn) 18 4121 Greedy (density) (Colbourn) 19 4328 Greedy (density) (Colbourn) 20 4518 Greedy (density) (Colbourn) 21 4698 Greedy (density) (Colbourn) 22 4874 Greedy (density) (Colbourn) 24 5199 Greedy (density) (Colbourn) 25 5564 IPOG-F (NIST) 26 5709 IPOG-F (NIST) 27 5853 IPOG-F (NIST) 28 6003 IPOG-F (NIST) 29 6150 IPOG-F (NIST) 30 6281 IPOG-F (NIST) 31 6413 IPOG-F (NIST) 32 6535 IPOG-F (NIST) 33 6656 IPOG-F (NIST) 34 6772 IPOG-F (NIST) 35 6877 IPOG-F (NIST) 36 6989 IPOG-F (NIST) 37 7092 IPOG-F (NIST) 38 7194 IPOG-F (NIST) 39 7293 IPOG-F (NIST) 40 7391 IPOG-F (NIST) 41 7490 IPOG-F (NIST) 42 7574 IPOG-F (NIST) 43 7672 IPOG-F (NIST) 44 7757 IPOG-F (NIST) 45 7845 IPOG-F (NIST) 46 7938 IPOG-F (NIST) 47 8013 IPOG-F (NIST) 48 8092 IPOG-F (NIST) 49 8179 IPOG-F (NIST) 50 8256 IPOG-F (NIST) 51 8333 IPOG-F (NIST) 52 11627 extend by one factor 53 14921 extend by one factor 54 18323 extend by one factor 55 21743 extend by one factor 56 25181 extend by one factor 57 28667 extend by one factor 58 29085 Martirosyan-Colbourn 60 29280 Martirosyan-Colbourn 62 29536 Martirosyan-Colbourn 64 29658 Martirosyan-Colbourn 66 29893 Martirosyan-Colbourn 68 30009 Martirosyan-Colbourn 70 30276 Martirosyan-Colbourn 72 30444 Martirosyan-Colbourn 74 30597 Martirosyan-Colbourn 76 30753 Martirosyan-Colbourn 78 30906 Martirosyan-Colbourn 79 34848 extend by one factor 169 36843 Power 13^2 170 40353 Power 14^2 171 43980 Power 15^2 256 47568 Power 16^2 289 50909 Power 17^2 290 53561 Power 18^2 361 56252 Power 19^2 362 58722 Power 20^2 363 61062 Power 21^2 364 63350 Power 22^2 530 67575 Power 24^2 625 72320 Power 25^2 626 74205 Power 26^2 729 76077 Power 27^2 730 78027 Power 28^2 841 79938 Power 29^2 842 81641 Power 30^2 961 83357 Power 31^2 1024 84943 Power 32^2 1025 86516 Power 33^2 1026 88024 Power 34^2 1027 89389 Power 35^2 1028 90845 Power 36^2 1369 92184 Power 37^2 1370 93510 Power 38^2 1371 94797 Power 39^2 1372 96071 Power 40^2 1681 97358 Power 41^2 1682 98450 Power 42^2 1849 99724 Power 43^2 1850 100829 Power 44^2 1851 101973 Power 45^2 1852 103182 Power 46^2 2209 104157 Power 47^2 2210 105184 Power 48^2 2401 106315 Power 49^2 2402 107316 Power 50^2 2403 108317 Power 51^2 2404 123899 extend by one factor 10000 139076 Power 25^3

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