Table for CAN(6,k,2) for k up to 10000

Last Updated Sun Nov 22 06:45:17 MST 2009

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).

Change t: - Change v: + or go to Global Menu.

k N Source 7 64 orthogonal array 8 85 Johnson-Entringer 9 111 simulated annealing (CKRS) 10 116 simulated annealing (CKRS) 13 128 cross-sum (CKRS) 15 160 cross-sum (CKRS) 16 230 Add a factor 17 276 Density (Colbourn) postop NCK 18 291 Density (Colbourn) postop NCK 19 308 Density (Colbourn) postop NCK 20 327 Density (Colbourn) postop NCK 21 341 Density (Colbourn) postop NCK 22 355 Density (Colbourn) postop NCK 23 371 Density (Colbourn) postop NCK 24 384 Density (Linnemann-Frewer) postop NCK 25 397 Density (Linnemann-Frewer) postop NCK 26 409 Density (Linnemann-Frewer) postop NCK 27 422 Density (Linnemann-Frewer) postop NCK 28 432 Density (Linnemann-Frewer) postop NCK 29 444 Density (Linnemann-Frewer) postop NCK 30 454 Density (Linnemann-Frewer) postop NCK 31 464 Density (Linnemann-Frewer) 32 473 Density (Linnemann-Frewer) postop NCK 33 496 Density (Colbourn) postop NCK 34 502 Density (Colbourn) postop NCK 35 510 Density (Colbourn) postop NCK 36 525 Density (Colbourn) postop NCK 37 534 Density (Colbourn) postop NCK 38 545 IPOG-F (NIST) postop NCK 39 553 IPOG-F (NIST) postop NCK 40 560 IPOG-F (NIST) postop NCK 41 570 IPOG-F (NIST) postop NCK 42 575 IPOG-F (NIST) postop NCK 43 586 IPOG-F (NIST) postop NCK 44 593 IPOG-F (NIST) postop NCK 45 602 IPOG-F (NIST) postop NCK 46 610 IPOG-F (NIST) postop NCK 47 616 IPOG-F (NIST) postop NCK 48 624 IPOG-F (NIST) postop NCK 49 629 IPOG-F (NIST) postop NCK 50 635 IPOG-F (NIST) postop NCK 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) 360 718 Cyclic (Colbourn-Keri) 379 758 Cyclic (Colbourn-Keri) 432 862 Cyclic (Colbourn-Keri) 464 926 Cyclic (Colbourn-Keri) 468 934 Cyclic (Colbourn-Keri) 488 974 Cyclic (Colbourn-Keri) 492 982 Cyclic (Colbourn-Keri) 500 998 Cyclic (Colbourn-Keri) 504 1006 Cyclic (Colbourn-Keri) 510 1018 Cyclic (Colbourn-Keri) 522 1042 Cyclic (Colbourn-Keri) 523 1418 Add a factor 524 1794 Add a factor 525 2170 Add a factor 526 2546 Add a factor 527 2922 Add a factor 718 2925 Martirosyan-Colbourn 720 2945 Martirosyan-Colbourn 756 2985 Martirosyan-Colbourn 758 2986 Martirosyan-Colbourn 862 3141 Martirosyan-Colbourn 864 3144 Martirosyan-Colbourn 866 3208 Martirosyan-Colbourn 924 3237 Martirosyan-Colbourn 926 3621 Martirosyan-Colbourn 928 3625 Martirosyan-Colbourn 934 3633 Martirosyan-Colbourn 936 3653 Martirosyan-Colbourn 974 3693 Martirosyan-Colbourn 976 3697 Martirosyan-Colbourn 982 3705 Martirosyan-Colbourn 984 3713 Martirosyan-Colbourn 998 3729 Martirosyan-Colbourn 1000 3733 Martirosyan-Colbourn 1006 3741 Martirosyan-Colbourn 1008 3747 Martirosyan-Colbourn 1018 3759 Martirosyan-Colbourn 1020 3771 Martirosyan-Colbourn 1042 3795 Martirosyan-Colbourn 1044 3797 Martirosyan-Colbourn 1046 4173 Martirosyan-Colbourn 1048 4567 Martirosyan-Colbourn 1050 4943 Martirosyan-Colbourn 1065 5135 Power 36^2S7 1095 5150 Power 36^2S6 1126 5165 Power 36^2S5 1158 5180 Power 36^2S4 1191 5195 Power 36^2S3 1225 5210 Power 36^2T1T1 1260 5225 Power 36^2T1 1296 5240 Power 36^2 1376 5304 Power 19^3T11S18 1392 5321 Power 19^3T11S17 1548 5330 Power 19^3T10S18 1720 5335 Power 19^3T9S18 2236 5347 Power 19^3T6S18 2262 5364 Power 19^3T6S17 2580 5379 Power 19^3T4S18 2610 5396 Power 19^3T4S17 2655 5413 Power 19^3T4S16 2715 5430 Power 19^3T4S15 2790 5447 Power 19^3T4S14 2880 5464 Power 19^3T4S13 3211 5473 Power 19^3T6T6 3705 5505 Power 19^3T6T4 4275 5537 Power 19^3T4T4 4560 5607 Power 19^3T4T3 4605 5634 Power 19^3T4S3 4860 5651 Power 19^3T4S2 5130 5668 Power 19^3T4T1 5415 5685 Power 19^3T4 5472 5738 Power 19^3T3T1 5776 5755 Power 19^3T3 5832 5782 Power 19^3S3 6156 5799 Power 19^3T1T1 6498 5816 Power 19^3T1 6859 5833 Power 19^3 6860 6194 Power 19^3+1 6861 6460 Power 19^3+2 6862 6726 Power 19^3+3 6945 6771 Power 23^3T8S3 7260 6787 Power 23^3T8S2 7590 6803 Power 23^3T8T1 7935 6819 Power 23^3T8 8096 6873 Power 23^3T7T1 8206 6886 Power 23^3S9 8464 6889 Power 23^3T7 8558 6902 Power 23^3S8 8932 6918 Power 23^3S7 9328 6934 Power 23^3S6 9746 6950 Power 23^3S5 10000 6966 Power 23^3S4

Graph: