Table for CAN(6,k,2) 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,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 7 64 orthogonal array 8 85 Johnson-Entringer 9 120 Johnson-Grassl-McCanna-Szekely 10 150 Greedy (Kuliamin) 11 178 paintball (Kuhn) 12 190 paintball (Kuhn) 13 221 Greedy (density) (Colbourn) 14 241 Greedy (density) (Colbourn) 15 266 paintball (Kuhn) 16 270 paintball (Kuhn) 17 276 paintball (Kuhn) 18 312 Greedy (density) (Colbourn) 19 327 Greedy (density) (Colbourn) 20 342 Greedy (density) (Colbourn) 21 357 Greedy (density) (Colbourn) 22 370 Greedy (density) (Colbourn) 23 385 Greedy (density) (Colbourn) 24 394 Greedy (density) (Colbourn) 25 410 Greedy (density) (Colbourn) 26 431 Greedy (density) (Colbourn) 27 443 Greedy (density) (Colbourn) 28 452 Greedy (density) (Colbourn) 29 461 Greedy (density) (Colbourn) 30 475 Greedy (density) (Colbourn) 31 489 IPOG-F (NIST) 32 493 Greedy (density) (Colbourn) 34 508 Greedy (density) (Colbourn) 35 528 IPOG-F (NIST) 36 535 IPOG-F (NIST) 37 541 Greedy (density) (Colbourn) 38 552 IPOG-F (NIST) 39 559 IPOG-F (NIST) 40 566 IPOG-F (NIST) 41 572 IPOG-F (NIST) 42 579 IPOG-F (NIST) 43 590 IPOG-F (NIST) 44 594 IPOG-F (NIST) 45 603 IPOG-F (NIST) 46 611 IPOG-F (NIST) 47 617 IPOG-F (NIST) 48 625 IPOG-F (NIST) 49 630 IPOG-F (NIST) 50 636 IPOG-F (NIST) 51 643 IPOG-F (NIST) 52 650 IPOG-F (NIST) 53 656 IPOG-F (NIST) 54 662 IPOG-F (NIST) 55 667 IPOG-F (NIST) 56 672 IPOG-F (NIST) 57 677 IPOG-F (NIST) 58 683 IPOG-F (NIST) 59 689 IPOG-F (NIST) 60 695 IPOG-F (NIST) 61 699 IPOG-F (NIST) 62 703 IPOG-F (NIST) 63 709 IPOG-F (NIST) 64 715 IPOG-F (NIST) 65 721 IPOG-F (NIST) 66 725 IPOG-F (NIST) 67 728 IPOG-F (NIST) 68 732 IPOG-F (NIST) 69 738 IPOG-F (NIST) 70 743 IPOG-F (NIST) 71 747 IPOG-F (NIST) 72 751 IPOG-F (NIST) 73 755 IPOG-F (NIST) 74 761 IPOG-F (NIST) 75 766 IPOG-F (NIST) 76 770 IPOG-F (NIST) 77 773 IPOG-F (NIST) 78 777 IPOG-F (NIST) 79 782 IPOG-F (NIST) 80 785 IPOG-F (NIST) 81 791 IPOG-F (NIST) 82 794 IPOG-F (NIST) 83 796 IPOG-F (NIST) 84 800 IPOG-F (NIST) 85 804 IPOG-F (NIST) 86 809 IPOG-F (NIST) 87 1041 extend by one factor 88 1273 extend by one factor 89 1505 extend by one factor 90 1737 extend by one factor 121 1771 Power 11^2 122 1891 Power 12^2 124 2077 Martirosyan-Colbourn 126 2093 Martirosyan-Colbourn 128 2101 Martirosyan-Colbourn 130 2155 Martirosyan-Colbourn 132 2170 Martirosyan-Colbourn 134 2175 Martirosyan-Colbourn 136 2189 Martirosyan-Colbourn 169 2201 Power 13^2 170 2401 Power 14^2 172 2473 Martirosyan-Colbourn 256 2691 Power 16^2 289 2751 Power 17^2 290 3095 extend by one factor 361 3261 Power 19^2 362 3411 Power 20^2 363 3561 Power 21^2 364 3691 Power 22^2 529 3841 Power 23^2 530 3931 Power 24^2 625 4091 Power 25^2 626 4301 Power 26^2 729 4421 Power 27^2 730 4511 Power 28^2 841 4731 Power 29^2 842 4741 Power 30^2 961 4881 Power 31^2 1024 4991 Power 32^2 1026 5071 Power 34^2 1027 5271 Power 35^2 1296 5341 Power 36^2 1369 5401 Power 37^2 1370 5511 Power 38^2 1371 5581 Power 39^2 1372 5651 Power 40^2 1681 5711 Power 41^2 1682 5781 Power 42^2 1849 5891 Power 43^2 1850 5931 Power 44^2 1851 6021 Power 45^2 1852 6101 Power 46^2 2209 6161 Power 47^2 6859 6195 Power 19^3 6860 6480 Power 20^3 6861 6765 Power 21^3 6862 7012 Power 22^3 10000 7297 Power 23^3

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