Table for CAN(6,k,8) 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,8) 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 9 262144 orthogonal array 10 487424 extended OA (Colbourn) 11 716800 Add a factor 12 1059968 Add a factor 16 1179648 double OA (Colbourn-Zhou) 18 1211904 double OA (Colbourn-Zhou) 19 1670208 Add a factor 20 2094353 Martirosyan-Tran van Trung 21 2552657 Add a factor 22 3010961 Add a factor 23 3698193 Add a factor 24 3994432 Martirosyan-Tran van Trung 26 4114112 Martirosyan-Tran van Trung 30 4310528 Martirosyan-Tran van Trung 32 4408736 Martirosyan-Tran van Trung 36 4473728 Martirosyan-Tran van Trung 37 5160960 Add a factor 38 5414289 Martirosyan-Tran van Trung 40 5854802 Martirosyan-Tran van Trung 41 6912082 Add a factor 42 7602234 Martirosyan-Tran van Trung 44 8060538 Martirosyan-Tran van Trung 46 8815721 Martirosyan-Tran van Trung 48 9111960 Martirosyan-Tran van Trung 52 9256184 Martirosyan-Tran van Trung 56 9516120 Martirosyan-Tran van Trung 60 9614296 Martirosyan-Tran van Trung 64 9756536 Martirosyan-Tran van Trung 72 9828024 Martirosyan-Tran van Trung 73 10960568 Add a factor 74 12093112 Add a factor 76 12686746 Martirosyan-Tran van Trung 80 13130507 Martirosyan-Tran van Trung 81 14376843 Add a factor 82 15536267 Martirosyan-Tran van Trung 84 16349395 Martirosyan-Tran van Trung 88 16807699 Martirosyan-Tran van Trung 90 17264624 Power CT16^2T7T6 91 17485808 Power CT16^2TD(8):5,5,5 100 17489904 Power CT16^2T6T6 110 17719280 Power CT16^2T6T5 121 17948656 Power CT16^2T5T5 144 17956848 Power CT16^2T7 160 18182128 Power CT16^2T6 176 18411504 Power CT16^2T5 192 18754672 Power CT16^2T4 256 18874352 Power CT16^2 272 19358192 Power CT17^2T1 290 19390448 Power CT17^2+1 291 21501872 Add a factor 292 23613296 Add a factor 307 25348400 Power CT19^2Arc(3) 324 25806704 Power CT19^2T1T1 342 26265008 Power CT19^2T1 361 26723312 Power CT19^2 362 29067640 Add a factor 363 31479672 Add a factor 364 33891704 Add a factor 365 36303736 Add a factor 384 37629024 perfect hash family32,512,16T4 512 37748704 perfect hash family32,512,16 514 38780896 perfect hash family32,514,18 515 41346928 Add a factor 524 41888736 Martirosyan-Tran van Trung 540 41895232 Martirosyan-Tran van Trung 544 41962672 Martirosyan-Tran van Trung 552 41994928 Martirosyan-Tran van Trung 564 41998176 Martirosyan-Tran van Trung 572 42253088 Martirosyan-Tran van Trung 576 42269328 Martirosyan-Tran van Trung 580 44299288 Martirosyan-Tran van Trung 582 46453832 Martirosyan-Tran van Trung 584 48565256 Martirosyan-Tran van Trung 608 50404457 Martirosyan-Tran van Trung 614 50407705 Martirosyan-Tran van Trung 616 50866009 Martirosyan-Tran van Trung 624 50869257 Martirosyan-Tran van Trung 640 50875753 Martirosyan-Tran van Trung 648 52037861 Martirosyan-Tran van Trung 652 54106629 Martirosyan-Tran van Trung 656 54109877 Martirosyan-Tran van Trung 680 54232853 Martirosyan-Tran van Trung 684 54236101 Martirosyan-Tran van Trung 692 54694405 Martirosyan-Tran van Trung 696 54697653 Martirosyan-Tran van Trung 700 54700901 Martirosyan-Tran van Trung 704 54704149 Martirosyan-Tran van Trung 712 54750804 Martirosyan-Tran van Trung 720 54754052 Martirosyan-Tran van Trung 722 56198232 Martirosyan-Tran van Trung 723 59319448 Add a factor 724 62440664 Add a factor 754 64461489 Power N-CT29^2T3 842 64657905 Power N-CT29^2+1 843 65738193 Power N-CT31^2Arc(4) 871 65836401 Power N-CT31^2Arc(3) 900 65934609 Power N-CT31^2T1T1 930 66032817 Power N-CT31^2T1 962 66131025 Power N-CT31^2+1 964 67105905 Power N-CT31^2+3 968 67975848 Martirosyan-Tran van Trung 984 67985592 Martirosyan-Tran van Trung 1004 67988840 Martirosyan-Tran van Trung 1008 67998584 Martirosyan-Tran van Trung 1024 68001832 Martirosyan-Tran van Trung 1028 70074376 Martirosyan-Tran van Trung 1044 70542065 Power N-CT37^2Arc(10) 1072 71229297 Power N-CT37^2Arc(9) 1101 71916529 Power N-CT37^2Arc(8) 1131 72603761 Power N-CT37^2Arc(7) 1162 73290993 Power N-CT37^2Arc(6) 1194 73978225 Power N-CT37^2Arc(5) 1227 74665457 Power N-CT37^2Arc(4) 1261 75352689 Power N-CT37^2Arc(3) 1296 76039921 Power N-CT37^2T1T1 1332 76727153 Power N-CT37^2T1 1369 77414385 Power N-CT37^2 1370 81109489 Add a factor 1371 84804593 Add a factor 1372 87822015 Power N-CT37^2+3 1381 88310894 Power N-CT41^2Arc(8) 1415 89368174 Power N-CT41^2Arc(7) 1450 90425454 Power N-CT41^2Arc(6) 1486 91482734 Power N-CT41^2Arc(5) 1523 92540014 Power N-CT41^2Arc(4) 1561 93597294 Power N-CT41^2Arc(3) 1600 94654574 Power N-CT41^2T1T1 1640 95711854 Power N-CT41^2T1 1681 96769134 Power N-CT41^2 1682 100592366 Add a factor 1683 104415598 Add a factor 1684 106934045 Martirosyan-Tran van Trung 1686 108014333 Martirosyan-Tran van Trung 1728 108112541 Martirosyan-Tran van Trung 1742 108115789 Martirosyan-Tran van Trung 1764 108213997 Martirosyan-Tran van Trung 1782 108456169 Martirosyan-Tran van Trung 1792 108940513 Martirosyan-Tran van Trung 1800 109151073 Martirosyan-Tran van Trung 1808 109249281 Martirosyan-Tran van Trung 1840 109384626 Martirosyan-Tran van Trung 1860 109496185 Martirosyan-Tran van Trung 1864 109594393 Martirosyan-Tran van Trung 1872 109597641 Martirosyan-Tran van Trung 1920 109779865 Martirosyan-Tran van Trung 1924 109802601 Martirosyan-Tran van Trung 1928 110777481 Martirosyan-Tran van Trung 1936 111647424 Martirosyan-Tran van Trung 1968 111970481 Martirosyan-Tran van Trung 2008 112019824 Martirosyan-Tran van Trung 2016 112039312 Martirosyan-Tran van Trung 2048 112415456 Martirosyan-Tran van Trung 2056 114818318 Martirosyan-Tran van Trung 2080 115286007 Martirosyan-Tran van Trung 2088 115794796 Martirosyan-Tran van Trung 2096 116482028 Martirosyan-Tran van Trung 2144 116574512 Martirosyan-Tran van Trung 2156 117264782 Martirosyan-Tran van Trung 2160 117511214 Martirosyan-Tran van Trung 2176 117514462 Martirosyan-Tran van Trung 2202 117514658 Martirosyan-Tran van Trung 2208 118201890 Martirosyan-Tran van Trung 2226 118248279 Martirosyan-Tran van Trung 2242 118371495 Martirosyan-Tran van Trung 2262 118494711 Martirosyan-Tran van Trung 2272 119181943 Martirosyan-Tran van Trung 2288 119208403 Martirosyan-Tran van Trung 2304 119441818 Martirosyan-Tran van Trung 2320 120556470 Martirosyan-Tran van Trung 2324 120599590 Martirosyan-Tran van Trung 2336 121286822 Martirosyan-Tran van Trung 2388 121638919 Martirosyan-Tran van Trung 2432 122326151 Martirosyan-Tran van Trung 2454 122329399 Martirosyan-Tran van Trung 2464 123016631 Martirosyan-Tran van Trung 2496 123063608 Martirosyan-Tran van Trung 2522 123157856 Martirosyan-Tran van Trung 2528 123845088 Martirosyan-Tran van Trung 2548 123859102 Martirosyan-Tran van Trung 2560 124107102 Martirosyan-Tran van Trung 2603 125538509 Power N-CT73^2T31S12 2728 125996813 Power N-CT73^2T29S12 2916 126130529 Power CT31^3T22T13T13 3240 126355809 Power CT31^3T21T13T13 3564 126585185 Power CT31^3T20T13T13 3888 126928353 Power CT31^3T19T13T13 4096 126983521 Power CT31^3T15T15T15 4608 127015777 Power CT31^3T15T15T13 5184 127048033 Power CT31^3T15T13T13 5832 127080289 Power CT31^3T13T13T13 6156 127538593 Power CT31^3T13T13T12 6480 127962738 Power CT31^3T13T13T11 6498 127996897 Power CT31^3T13T12T12 6840 128421042 Power CT31^3T13T12T11 6859 128455201 Power CT31^3T12T12T12 7200 128845187 Power CT31^3T13T11T11 7220 128879346 Power CT31^3T12T12T11 7600 129303491 Power CT31^3T12T11T11 8000 129727636 Power CT31^3T11T11T11 8424 129982497 Power CT31^3T13T13T5 8640 130146657 Power CT31^3T15T13T1 9720 130178913 Power CT31^3T13T13T1 10000 130277121 Power CT31^3T13T13

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