Table for CAN(6,k,9) for k up to 10000

Last Updated Tue Jan 31 05:20:10 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;6,k,9) 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 10 531441 orthogonal array 11 997272 extended OA (Colbourn) 12 1469664 Add a factor 13 2356128 Add a factor 18 2421009 double OA (Colbourn-Zhou) 20 2479329 double OA (Colbourn-Zhou) 21 3423465 Add a factor 22 4367601 Add a factor 23 5311737 Add a factor 24 6727617 Add a factor 25 8143497 Add a factor 26 8283195 Martirosyan-Tran van Trung 28 8531658 Martirosyan-Tran van Trung 32 8689014 Martirosyan-Tran van Trung 34 8872596 Martirosyan-Tran van Trung 36 8977500 Martirosyan-Tran van Trung 38 9035820 Martirosyan-Tran van Trung 40 9114498 Martirosyan-Tran van Trung 41 10530378 Add a factor 42 11238840 Martirosyan-Tran van Trung 43 13437504 Add a factor 44 14171868 Martirosyan-Tran van Trung 46 15611598 Martirosyan-Tran van Trung 48 17106138 Martirosyan-Tran van Trung 50 18522018 Martirosyan-Tran van Trung 52 18701046 Martirosyan-Tran van Trung 56 19022103 Martirosyan-Tran van Trung 58 19247301 Martirosyan-Tran van Trung 60 19286631 Martirosyan-Tran van Trung 62 19443951 Martirosyan-Tran van Trung 64 19483281 Martirosyan-Tran van Trung 68 19700127 Martirosyan-Tran van Trung 72 19824039 Martirosyan-Tran van Trung 76 19882359 Martirosyan-Tran van Trung 78 19975293 Martirosyan-Tran van Trung 79 22173957 Add a factor 80 23302125 Martirosyan-Tran van Trung 81 25500789 Add a factor 82 25544421 Martirosyan-Tran van Trung 83 27743085 Add a factor 84 28253907 Martirosyan-Tran van Trung 85 30639195 Add a factor 88 31704543 Martirosyan-Tran van Trung 92 33605289 Martirosyan-Tran van Trung 96 33979403 Power CT16^2TD(4):4,4,4,4,4 97 34937309 Power CT16^2TD(8):4,5,5 100 34956992 Power CT16^2T6T6 104 35409701 Power CT16^2TD(4):4,4,5 110 35422823 Power CT16^2T6T5 112 35882093 Power CT16^2TD(4):4,4,4 121 35888654 Power CT16^2T5T5 132 36361046 Power CT16^2T5T4 144 36833438 Power CT16^2T4T4 170 36846560 Power CT17^2T7 187 37312391 Power CT17^2T6 190 37721360 Power CT19^2T9 204 37784783 Power CT17^2T5 209 38187191 Power CT19^2T8 216 38601263 Power CT19^2T7T1 228 38659583 Power CT19^2T7 290 38736128 Power CT17^2+1 291 39435968 Power CT19^2Arc(4) 307 39494288 Power CT19^2Arc(3) 324 39552608 Power CT19^2T1T1 342 39610928 Power CT19^2T1 362 39669248 Power CT19^2+1 363 44113808 Add a factor 364 48558368 Add a factor 365 53002928 Add a factor 366 57447488 Add a factor 367 61892048 Add a factor 368 66336608 Add a factor 369 70781168 Add a factor 370 75225728 Add a factor 374 75595640 Martirosyan-Tran van Trung 378 76004609 Martirosyan-Tran van Trung 384 76520911 perfect hash family32,512,16T4 416 77407375 perfect hash family32,512,16T3 514 77472256 perfect hash family32,514,18 516 79338496 perfect hash family32,516,20 520 84335195 Martirosyan-Tran van Trung 522 84453869 Martirosyan-Tran van Trung 540 84506301 Martirosyan-Tran van Trung 544 84758781 Martirosyan-Tran van Trung 556 84777789 Martirosyan-Tran van Trung 558 84886959 Martirosyan-Tran van Trung 560 84940031 Martirosyan-Tran van Trung 576 84968543 Martirosyan-Tran van Trung 580 85119185 Martirosyan-Tran van Trung 582 85819025 Martirosyan-Tran van Trung 594 85877345 Martirosyan-Tran van Trung 600 86204855 Martirosyan-Tran van Trung 608 86314025 Martirosyan-Tran van Trung 614 86328281 Martirosyan-Tran van Trung 624 86495771 Martirosyan-Tran van Trung 632 87210587 Martirosyan-Tran van Trung 636 87215339 Martirosyan-Tran van Trung 640 87220091 Martirosyan-Tran van Trung 648 87916899 Martirosyan-Tran van Trung 684 87975219 Martirosyan-Tran van Trung 702 88033539 Martirosyan-Tran van Trung 724 91248789 Martirosyan-Tran van Trung 725 96293469 Add a factor 726 97280573 Martirosyan-Tran van Trung 728 101725133 Martirosyan-Tran van Trung 730 106169693 Martirosyan-Tran van Trung 732 110614253 Martirosyan-Tran van Trung 734 115058813 Martirosyan-Tran van Trung 736 119503373 Martirosyan-Tran van Trung 738 123971693 Martirosyan-Tran van Trung 748 126631957 Power N-CT41^2T16S13 779 126771655 Power N-CT41^2T15S13 838 127020118 Power N-CT41^2T13S13 957 127177474 Power N-CT41^2T9S13 1016 127361056 Power N-CT41^2T7S13 1076 127465960 Power N-CT41^2T5S13 1134 127524280 Power N-CT41^2T3S13 1198 127602958 Power N-CT41^2Arc(14) 1226 129018838 Power N-CT41^2Arc(13) 1255 130434718 Power N-CT41^2Arc(12) 1285 131850598 Power N-CT41^2Arc(11) 1316 133266478 Power N-CT41^2Arc(10) 1348 134682358 Power N-CT41^2Arc(9) 1370 135537285 Power N-CT37^2+1 1381 136098238 Power N-CT41^2Arc(8) 1415 137514118 Power N-CT41^2Arc(7) 1450 138929998 Power N-CT41^2Arc(6) 1486 140345878 Power N-CT41^2Arc(5) 1523 141761758 Power N-CT41^2Arc(4) 1561 143177638 Power N-CT41^2Arc(3) 1600 144593518 Power N-CT41^2T1T1 1640 146009398 Power N-CT41^2T1 1681 147425278 Power N-CT41^2 1682 155067142 Add a factor 1683 162709006 Add a factor 1684 170350870 Add a factor 1685 177992734 Add a factor 1723 181529050 Power N-CT43^2Arc(3) 1764 183727714 Power N-CT43^2T1T1 1806 185926378 Power N-CT43^2T1 1849 188125042 Power N-CT43^2 1850 196238650 Add a factor 1851 204352258 Add a factor 1856 206046653 Martirosyan-Tran van Trung 1872 206051405 Martirosyan-Tran van Trung 1914 206092877 Martirosyan-Tran van Trung 1920 206276459 Martirosyan-Tran van Trung 1944 206295467 Martirosyan-Tran van Trung 1962 207215419 Martirosyan-Tran van Trung 1980 208490105 Martirosyan-Tran van Trung 1984 209785301 Martirosyan-Tran van Trung 2000 209790053 Martirosyan-Tran van Trung 2016 210523197 Martirosyan-Tran van Trung 2032 210564669 Martirosyan-Tran van Trung 2034 210669573 Martirosyan-Tran van Trung 2048 215672664 Martirosyan-Tran van Trung 2052 215705928 Martirosyan-Tran van Trung 2064 216273176 Martirosyan-Tran van Trung 2080 216296936 Martirosyan-Tran van Trung 2106 216311192 Martirosyan-Tran van Trung 2152 217031384 Martirosyan-Tran van Trung 2160 217089704 Martirosyan-Tran van Trung 2176 217131176 Martirosyan-Tran van Trung 2184 217150184 Martirosyan-Tran van Trung 2196 218534686 Martirosyan-Tran van Trung 2224 218736874 Martirosyan-Tran van Trung 2240 218741626 Martirosyan-Tran van Trung 2260 218770138 Martirosyan-Tran van Trung 2268 222890023 Martirosyan-Tran van Trung 2304 224030437 Martirosyan-Tran van Trung 2322 224076661 Martirosyan-Tran van Trung 2340 224474501 Martirosyan-Tran van Trung 2376 224634533 Martirosyan-Tran van Trung 2396 224648789 Martirosyan-Tran van Trung 2400 226064669 Martirosyan-Tran van Trung 2412 226069421 Martirosyan-Tran van Trung 2430 226283561 Martirosyan-Tran van Trung 2432 226928969 Martirosyan-Tran van Trung 2452 226943225 Martirosyan-Tran van Trung 2456 228359105 Martirosyan-Tran van Trung 2484 228363857 Martirosyan-Tran van Trung 2496 228804089 Martirosyan-Tran van Trung 2510 229518905 Martirosyan-Tran van Trung 2520 230934785 Martirosyan-Tran van Trung 2528 231417953 Martirosyan-Tran van Trung 2544 231422705 Martirosyan-Tran van Trung 2556 231427457 Martirosyan-Tran van Trung 2560 232467867 Martirosyan-Tran van Trung 2570 233164675 Martirosyan-Tran van Trung 2574 234580555 Martirosyan-Tran van Trung 2592 234788637 Martirosyan-Tran van Trung 2600 235449597 Martirosyan-Tran van Trung 2628 235660271 Martirosyan-Tran van Trung 2632 235774959 Martirosyan-Tran van Trung 2696 237190839 Martirosyan-Tran van Trung 2740 238045766 Martirosyan-Tran van Trung 2762 238606719 Martirosyan-Tran van Trung 2772 240022599 Martirosyan-Tran van Trung 2800 240444843 Martirosyan-Tran van Trung 2808 241289331 Martirosyan-Tran van Trung 2830 242071283 Martirosyan-Tran van Trung 2844 243487163 Martirosyan-Tran van Trung 2862 243568651 Martirosyan-Tran van Trung 2880 243650267 Martirosyan-Tran van Trung 2896 243732011 Martirosyan-Tran van Trung 2900 245319235 Martirosyan-Tran van Trung 2916 246735115 Martirosyan-Tran van Trung 2944 247071947 Martirosyan-Tran van Trung 2952 247095707 Martirosyan-Tran van Trung 2972 247275259 Martirosyan-Tran van Trung 3240 248665820 Power CT31^3T21T13T13 3600 248724140 Power CT31^3T21T13T11 4000 248782460 Power CT31^3T21T11T11 4400 249248291 Power CT31^3T20T11T11 4800 249720683 Power CT31^3T19T11T11 5832 250555388 Power CT31^3T13T13T13 6480 250613708 Power CT31^3T13T13T11 7200 250672028 Power CT31^3T13T11T11 8000 250730348 Power CT31^3T11T11T11 8400 251674484 Power CT31^3T11T11T10 8820 252618620 Power CT31^3T11T10T10 9261 253562756 Power CT31^3T10T10T10 9702 254506892 Power CT31^3T10T10T9 10000 255451028 Power CT31^3T11T9T8

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