Table for CAN(5,k,3) for k up to 10000

Last Updated Tue Jan 31 05:19:54 MST 2012

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;5,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 6 243 orthogonal array 7 351 cross-sum (CKRS) 8 405 Xu-Ji-Dong 10 483 Derive from strength 6 11 705 Density (Colbourn) postop NCK 13 723 Walker-Colbourn 14 918 Density (Linnemann-Frewer) postop NCK 16 963 Walker-Colbourn 17 1108 Density (Linnemann-Frewer) postop NCK 18 1164 Density (Linnemann-Frewer) postop NCK 19 1197 Walker-Colbourn postop NCK 20 1262 Density (Linnemann-Frewer) postop NCK 21 1313 Density (Linnemann-Frewer) postop NCK 22 1346 Density (Linnemann-Frewer) postop NCK 23 1401 Density (Linnemann-Frewer) postop NCK 24 1440 Density (Linnemann-Frewer) postop NCK 25 1483 Density (Colbourn) postop NCK 26 1521 Density (Linnemann-Frewer) postop NCK 27 1538 Density (Linnemann-Frewer) postop NCK 28 1579 Density (Linnemann-Frewer) postop NCK 29 1615 Density (Linnemann-Frewer) postop NCK 30 1647 Density (Linnemann-Frewer) postop NCK 31 1681 Density (Linnemann-Frewer) postop NCK 32 1724 Density (Colbourn) postop NCK 34 1783 Density (Colbourn) postop NCK 35 1851 Density (Linnemann-Frewer) 36 1882 Density (Linnemann-Frewer) postop NCK 37 1909 Density (Linnemann-Frewer) 38 1937 Density (Linnemann-Frewer) postop NCK 39 1960 Density (Linnemann-Frewer) 40 1986 Density (Linnemann-Frewer) postop NCK 41 2020 IPOG-F (NIST) postop NCK 42 2046 IPOG-F (NIST) 43 2069 IPOG-F (NIST) postop NCK 44 2091 IPOG-F (NIST) 45 2112 IPOG-F (NIST) 46 2130 IPOG-F (NIST) 47 2150 IPOG-F (NIST) 48 2174 IPOG-F (NIST) 49 2191 IPOG-F (NIST) 50 2213 IPOG-F (NIST) 51 2231 IPOG-F (NIST) 52 2251 IPOG-F (NIST) 53 2269 IPOG-F (NIST) 54 2289 IPOG-F (NIST) 55 2309 IPOG-F (NIST) 56 2327 IPOG-F (NIST) 57 2342 IPOG-F (NIST) 58 2358 IPOG-F (NIST) 59 2373 IPOG-F (NIST) 60 2394 IPOG-F (NIST) 61 2408 IPOG-F (NIST) 62 2425 IPOG-F (NIST) 63 2440 IPOG-F (NIST) 64 2451 IPOG-F (NIST) 65 2468 IPOG-F (NIST) 66 2482 IPOG-F (NIST) 67 2498 IPOG-F (NIST) 68 2512 IPOG-F (NIST) 69 2527 IPOG-F (NIST) 70 2542 IPOG-F (NIST) 71 2555 IPOG-F (NIST) 72 2573 IPOG-F (NIST) 73 2584 IPOG-F (NIST) 74 2597 IPOG-F (NIST) 75 2609 IPOG-F (NIST) 76 2625 IPOG-F (NIST) 77 2639 IPOG-F (NIST) 78 2648 IPOG-F (NIST) 79 2661 IPOG-F (NIST) 80 2673 IPOG-F (NIST) 81 2686 IPOG-F (NIST) 82 2700 IPOG-F (NIST) 83 2710 IPOG-F (NIST) 84 2725 IPOG-F (NIST) 85 2739 IPOG-F (NIST) 86 2749 IPOG-F (NIST) 87 2762 IPOG-F (NIST) 88 2770 IPOG-F (NIST) 89 2783 IPOG-F (NIST) 90 2792 IPOG-F (NIST) 91 2805 IPOG-F (NIST) 92 2815 IPOG-F (NIST) 93 2825 IPOG-F (NIST) 94 2836 IPOG-F (NIST) 95 2847 IPOG-F (NIST) 96 2857 IPOG-F (NIST) 97 2868 IPOG-F (NIST) 98 2877 IPOG-F (NIST) 99 2885 IPOG-F (NIST) 100 2895 IPOG-F (NIST) 101 2909 IPOG-F (NIST) 102 2920 IPOG-F (NIST) 103 2928 IPOG-F (NIST) 104 2938 IPOG-F (NIST) 105 2945 IPOG-F (NIST) 106 2954 IPOG-F (NIST) 107 2962 IPOG-F (NIST) 108 2972 IPOG-F (NIST) 109 2980 IPOG-F (NIST) 110 2991 IPOG-F (NIST) 111 2999 IPOG-F (NIST) 112 3008 IPOG-F (NIST) 113 3017 IPOG-F (NIST) 114 3026 IPOG-F (NIST) 115 3036 IPOG-F (NIST) 116 3044 IPOG-F (NIST) 1051 3156 Cyclotomy (Colbourn) 1069 3210 Cyclotomy (Colbourn) 1087 3264 Cyclotomy (Colbourn) 1093 3282 Cyclotomy (Colbourn) 1123 3369 Cyclotomy (Colbourn) 1129 3390 Cyclotomy (Colbourn) 1171 3516 Cyclotomy (Colbourn) 1213 3642 Cyclotomy (Colbourn) 1231 3696 Cyclotomy (Colbourn) 1249 3750 Cyclotomy (Colbourn) 1279 3840 Cyclotomy (Colbourn) 1291 3876 Cyclotomy (Colbourn) 1292 5280 Add a factor 1293 6684 Add a factor 1726 6932 Martirosyan-Tran van Trung 2100 6986 Martirosyan-Tran van Trung 2102 7040 Martirosyan-Tran van Trung 2138 7130 Martirosyan-Tran van Trung 2174 7220 Martirosyan-Tran van Trung 2186 7250 Martirosyan-Tran van Trung 2234 7389 Martirosyan-Tran van Trung 2246 7397 Martirosyan-Tran van Trung 2258 7430 Martirosyan-Tran van Trung 2342 7640 Martirosyan-Tran van Trung 2426 7850 Martirosyan-Tran van Trung 2462 7940 Martirosyan-Tran van Trung 2498 8030 Martirosyan-Tran van Trung 2558 8180 Martirosyan-Tran van Trung 2582 8240 Martirosyan-Tran van Trung 2584 9656 Martirosyan-Tran van Trung 2586 11060 Martirosyan-Tran van Trung 2594 11308 Martirosyan-Tran van Trung 2606 11320 Martirosyan-Tran van Trung 2642 11360 Martirosyan-Tran van Trung 2654 11368 Martirosyan-Tran van Trung 2762 11476 Martirosyan-Tran van Trung 2798 11512 Martirosyan-Tran van Trung 2846 11560 Martirosyan-Tran van Trung 2858 11576 Martirosyan-Tran van Trung 2894 11608 Martirosyan-Tran van Trung 2906 11620 Martirosyan-Tran van Trung 2918 11632 Martirosyan-Tran van Trung 2942 11656 Martirosyan-Tran van Trung 2966 11680 Martirosyan-Tran van Trung 2978 11692 Martirosyan-Tran van Trung 3062 11776 Martirosyan-Tran van Trung 3086 11800 Martirosyan-Tran van Trung 3098 11812 Martirosyan-Tran van Trung 3134 11848 Martirosyan-Tran van Trung 3158 11872 Martirosyan-Tran van Trung 3194 11908 Martirosyan-Tran van Trung 3218 11932 Martirosyan-Tran van Trung 3242 11956 Martirosyan-Tran van Trung 3254 11968 Martirosyan-Tran van Trung 3314 12028 Martirosyan-Tran van Trung 3326 12040 Martirosyan-Tran van Trung 3338 12052 Martirosyan-Tran van Trung 3452 12096 Martirosyan-Tran van Trung 3564 12150 Martirosyan-Tran van Trung 3600 12154 Martirosyan-Tran van Trung 3666 12190 Martirosyan-Tran van Trung 3924 12244 Martirosyan-Tran van Trung 3960 12258 Martirosyan-Tran van Trung 3988 12266 Martirosyan-Tran van Trung 4000 12320 Martirosyan-Tran van Trung 4200 12336 Martirosyan-Tran van Trung 4204 12390 Martirosyan-Tran van Trung 4276 12516 Martirosyan-Tran van Trung 4320 12642 Martirosyan-Tran van Trung 4348 12656 Martirosyan-Tran van Trung 4356 12698 Martirosyan-Tran van Trung 4372 12702 Martirosyan-Tran van Trung 4400 12893 Martirosyan-Tran van Trung 4468 12913 Martirosyan-Tran van Trung 4492 12929 Martirosyan-Tran van Trung 4516 12974 Martirosyan-Tran van Trung 4684 13268 Martirosyan-Tran van Trung 4716 13562 Martirosyan-Tran van Trung 4732 13568 Martirosyan-Tran van Trung 4852 13570 Martirosyan-Tran van Trung 4860 13660 Martirosyan-Tran van Trung 4914 13680 Martirosyan-Tran van Trung 4924 13734 Martirosyan-Tran van Trung 4996 13824 Martirosyan-Tran van Trung 5116 13974 Martirosyan-Tran van Trung 5164 14034 Martirosyan-Tran van Trung 5168 15450 Martirosyan-Tran van Trung 5172 16854 Martirosyan-Tran van Trung 5188 17102 Martirosyan-Tran van Trung 5212 17114 Martirosyan-Tran van Trung 5284 17154 Martirosyan-Tran van Trung 5308 17162 Martirosyan-Tran van Trung 5472 17250 Power CZ3-19.15-16.1-18.1 5776 17308 Power CZ3-19.16-16.1 5832 17368 Power CZ3-19.14-18.3 6156 17426 Power CZ3-19.15-18.1-18.1 6498 17484 Power CZ3-19.16-18.1 6859 17542 Power CZ3-19.17 6904 18390 Martirosyan-Tran van Trung 7026 18444 Martirosyan-Tran van Trung 7074 18528 Martirosyan-Tran van Trung 7098 18534 Martirosyan-Tran van Trung 7128 18542 Martirosyan-Tran van Trung 7200 18546 Martirosyan-Tran van Trung 7260 18582 Martirosyan-Tran van Trung 7278 18602 Martirosyan-Tran van Trung 7332 18638 Martirosyan-Tran van Trung 7386 18692 Martirosyan-Tran van Trung 7494 18728 Martirosyan-Tran van Trung 7644 18788 Martirosyan-Tran van Trung 7668 18790 Martirosyan-Tran van Trung 7674 18794 Martirosyan-Tran van Trung 7746 18818 Martirosyan-Tran van Trung 7782 18830 Martirosyan-Tran van Trung 7818 18842 Martirosyan-Tran van Trung 7848 18882 Martirosyan-Tran van Trung 7920 18896 Martirosyan-Tran van Trung 7926 18904 Martirosyan-Tran van Trung 7944 18912 Martirosyan-Tran van Trung 7962 18914 Martirosyan-Tran van Trung 7976 18980 Martirosyan-Tran van Trung 8000 19034 Martirosyan-Tran van Trung 8100 19104 Martirosyan-Tran van Trung 8208 19108 Martirosyan-Tran van Trung 8286 19124 Martirosyan-Tran van Trung 8400 19126 Martirosyan-Tran van Trung 8408 19180 Martirosyan-Tran van Trung 8552 19342 Martirosyan-Tran van Trung 8640 19504 Martirosyan-Tran van Trung 8696 19532 Martirosyan-Tran van Trung 8712 19586 Martirosyan-Tran van Trung 8744 19596 Martirosyan-Tran van Trung 8800 19893 Martirosyan-Tran van Trung 8936 19943 Martirosyan-Tran van Trung 8984 19967 Martirosyan-Tran van Trung 9032 20024 Martirosyan-Tran van Trung 9368 20402 Martirosyan-Tran van Trung 9746 20651 Power CZ3-23.12-22.5 10000 20706 Power CZ3-23.13-22.4

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