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

Last Updated Fri Sep 20 11:41:02 MST 2013

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) 10 405 simulated annealing (AG-TJ-H) 11 550 simulated annealing (AG-TJ-H) 12 600 simulated annealing (AG-TJ-H) 13 723 Walker-Colbourn 14 890 simulated annealing (AG-TJ-H) 15 944 simulated annealing (AG-TJ-H) 16 963 Walker-Colbourn 17 1083 Density Mult Cyclic (Colbourn) postop NCK 18 1143 Density Mult Cyclic (Colbourn) postop NCK 19 1190 simulated annealing (AG-TJ-H) 20 1239 Density Mult Cyclic (Colbourn) postop NCK 21 1276 Density Mult Cyclic (Colbourn) postop NCK 22 1311 Density Mult Cyclic (Colbourn) postop NCK 23 1360 Density Mult Cyclic (Colbourn) postop NCK 24 1394 Density Mult Cyclic (Colbourn) postop NCK 25 1435 Density Mult Cyclic (Colbourn) postop NCK 26 1474 Density Mult Cyclic (Colbourn) postop NCK 27 1511 Density Mult Cyclic (Colbourn) postop NCK 28 1542 Density Cyclic (Colbourn) postop NCK 29 1575 Density Mult Cyclic (Colbourn) 30 1600 Density Mult Cyclic (Colbourn) postop NCK 31 1635 Density Mult Cyclic (Colbourn) 32 1659 Density Mult Cyclic (Colbourn) 33 1695 Density Mult Cyclic (Colbourn) 34 1707 Density Mult Cyclic (Colbourn) 35 1743 Density Mult Cyclic (Colbourn) 36 1767 Density Mult Cyclic (Colbourn) 37 1785 Density Mult Cyclic (Colbourn) 38 1821 Density Mult Cyclic (Colbourn) 39 1839 Density Mult Cyclic (Colbourn) 40 1863 Density Mult Cyclic (Colbourn) 41 1887 Density Mult Cyclic (Colbourn) 42 1899 Density Mult Cyclic (Colbourn) 43 1935 Density Mult Cyclic (Colbourn) 44 1941 Density Mult Cyclic (Colbourn) 45 1965 Density Mult Cyclic (Colbourn) 46 1989 Density Mult Cyclic (Colbourn) 47 2007 Density Mult Cyclic (Colbourn) 48 2025 Density Mult Cyclic (Colbourn) 49 2043 Density Mult Cyclic (Colbourn) 50 2067 Density Mult Cyclic (Colbourn) 51 2085 Density Mult Cyclic (Colbourn) 52 2103 Density Mult Cyclic (Colbourn) 53 2115 Density Mult Cyclic (Colbourn) 54 2133 Density Mult Cyclic (Colbourn) 55 2157 Density Mult Cyclic (Colbourn) 56 2169 Density Mult Cyclic (Colbourn) 57 2187 Density Mult Cyclic (Colbourn) 58 2205 Density Mult Cyclic (Colbourn) 59 2211 Density Mult Cyclic (Colbourn) 60 2229 Density Mult Cyclic (Colbourn) 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) 1297 3891 Cyclotomy (Colbourn) 1303 3909 Cyclotomy (Colbourn) 1327 3981 Cyclotomy (Colbourn) 1381 4143 Cyclotomy (Colbourn) 1399 4197 Cyclotomy (Colbourn) 1423 4269 Cyclotomy (Colbourn) 1447 4341 Cyclotomy (Colbourn) 1453 4359 Cyclotomy (Colbourn) 1459 4377 Cyclotomy (Colbourn) 1471 4413 Cyclotomy (Colbourn) 1483 4449 Cyclotomy (Colbourn) 1489 4467 Cyclotomy (Colbourn) 1531 4593 Cyclotomy (Colbourn) 1543 4629 Cyclotomy (Colbourn) 1549 4647 Cyclotomy (Colbourn) 1567 4701 Cyclotomy (Colbourn) 1579 4737 Cyclotomy (Colbourn) 1597 4791 Cyclotomy (Colbourn) 1609 4827 Cyclotomy (Colbourn) 1621 4863 Cyclotomy (Colbourn) 1627 4881 Cyclotomy (Colbourn) 1657 4971 Cyclotomy (Colbourn) 1663 4989 Cyclotomy (Colbourn) 1669 5007 Cyclotomy (Colbourn) 1693 5079 Cyclotomy (Colbourn) 1699 5097 Cyclotomy (Colbourn) 1723 5169 Cyclotomy (Colbourn) 1741 5223 Cyclotomy (Colbourn) 1747 5241 Cyclotomy (Colbourn) 1753 5259 Cyclotomy (Colbourn) 1759 5277 Cyclotomy (Colbourn) 2659 5318 Cyclotomy shift (Colbourn) 2671 5345 Cyclotomy shift (Colbourn) 2683 5369 Cyclotomy shift (Colbourn) 2684 6845 AZ1 2685 7493 Add 2 factors 2686 7655 Add 3 factors 2687 9131 Add 3 factors 2688 9779 Add 3 factors 2689 9941 Add 3 factors 2690 11417 Add 3 factors 2754 11723 Martirosyan-Colbourn 2762 11754 Martirosyan-Colbourn 2798 11844 Martirosyan-Colbourn 2808 11964 Martirosyan-Colbourn 2846 11981 Martirosyan-Colbourn 2858 12069 Martirosyan-Colbourn 2894 12101 Martirosyan-Colbourn 2906 12131 Martirosyan-Colbourn 2918 12161 Martirosyan-Colbourn 2942 12221 Martirosyan-Colbourn 2966 12281 Martirosyan-Colbourn 2978 12311 Martirosyan-Colbourn 3062 12521 Martirosyan-Colbourn 3078 12581 Martirosyan-Colbourn 3125 12620 perfect hash family4,3125,625 3134 12749 Martirosyan-Colbourn 3158 12809 Martirosyan-Colbourn 3194 12899 Martirosyan-Colbourn 3218 12959 Martirosyan-Colbourn 3240 13019 Martirosyan-Colbourn 3242 13042 Martirosyan-Colbourn 3254 13072 Martirosyan-Colbourn 3276 13222 Martirosyan-Colbourn 3314 13335 Martirosyan-Colbourn 3326 13365 Martirosyan-Colbourn 3338 13395 Martirosyan-Colbourn 3386 13491 Martirosyan-Colbourn 3398 13509 Martirosyan-Colbourn 3402 13581 Martirosyan-Colbourn 3446 13597 Martirosyan-Colbourn 3482 13651 Martirosyan-Colbourn 3494 13669 Martirosyan-Colbourn 3506 13687 Martirosyan-Colbourn 3518 13705 Martirosyan-Colbourn 3600 13746 Martirosyan-Colbourn 3924 13774 Martirosyan-Colbourn 3960 13788 Martirosyan-Colbourn 4000 13792 Martirosyan-Colbourn 4050 13804 Martirosyan-Colbourn 4204 13820 Martirosyan-Colbourn 4212 13856 Martirosyan-Colbourn 4276 13888 Martirosyan-Colbourn 4320 13924 Martirosyan-Colbourn 4348 13950 Martirosyan-Colbourn 4372 13962 Martirosyan-Colbourn 4374 13976 Martirosyan-Colbourn 4860 14040 Martirosyan-Colbourn 5316 14072 Martirosyan-Colbourn 5318 14090 Martirosyan-Colbourn 5340 14117 Martirosyan-Colbourn 5342 14133 Martirosyan-Colbourn 5364 14157 Martirosyan-Colbourn 5366 14409 Martirosyan-Colbourn 6306 14825 perfect hash family4,7776,1296T245 6414 14879 perfect hash family4,7776,1296T227 6522 14933 perfect hash family4,7776,1296T209 6558 14951 perfect hash family4,7776,1296T203 6738 15038 perfect hash family4,7776,1296T173 6774 15059 perfect hash family4,7776,1296T167 7026 15185 perfect hash family4,7776,1296T125 7278 15311 perfect hash family4,7776,1296T83 7386 15365 perfect hash family4,7776,1296T65 7494 15419 perfect hash family4,7776,1296T47 7674 15509 perfect hash family4,7776,1296T17 7746 15545 perfect hash family4,7776,1296T5 7776 15560 perfect hash family4,7776,1296 7777 17432 AZ1 7778 18134 Add 2 factors 7779 18296 Add 3 factors 7861 19319 perfect hash family4,16807,2401T1278 7903 19340 perfect hash family4,16807,2401T1272 8197 19466 perfect hash family4,16807,2401T1230 8206 19583 Power CZ3-23.8-22.9 8491 19592 perfect hash family4,16807,2401T1188 8558 19627 Power CZ3-23.9-22.8 8617 19646 perfect hash family4,16807,2401T1170 8932 19671 Power CZ3-23.10-22.7 9328 19715 Power CZ3-23.11-22.6 9746 19759 Power CZ3-23.12-22.5 10000 19808 Power CZ3-23.13-22.4

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