Table for CAN(6,k,8) 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,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 18 1277952 Martirosyan-Tran van Trung 19 1736256 Add a factor 20 2045329 Martirosyan-Tran van Trung 21 2503633 Add a factor 22 2961937 Add a factor 23 3649169 Add a factor 24 4010800 Martirosyan-Tran van Trung 26 4343360 Martirosyan-Tran van Trung 28 4457936 Martirosyan-Tran van Trung 30 4556144 Martirosyan-Tran van Trung 32 4588880 Martirosyan-Tran van Trung 34 4637984 Martirosyan-Tran van Trung 36 4670720 Martirosyan-Tran van Trung 37 5357952 Add a factor 38 5581921 Martirosyan-Tran van Trung 40 5923730 Martirosyan-Tran van Trung 41 6984538 Add a factor 42 7700474 Martirosyan-Tran van Trung 44 8207866 Martirosyan-Tran van Trung 46 8941753 Martirosyan-Tran van Trung 48 9303384 Martirosyan-Tran van Trung 52 9658680 Martirosyan-Tran van Trung 56 9795992 Martirosyan-Tran van Trung 60 9913688 Martirosyan-Tran van Trung 64 9952920 Martirosyan-Tran van Trung 68 10011768 Martirosyan-Tran van Trung 72 10051000 Martirosyan-Tran van Trung 73 11136896 Add a factor 74 12222792 Add a factor 76 12879242 Martirosyan-Tran van Trung 80 13227547 Martirosyan-Tran van Trung 81 14477411 Add a factor 82 15636835 Martirosyan-Tran van Trung 84 16482243 Martirosyan-Tran van Trung 88 16996131 Martirosyan-Tran van Trung 92 17776673 Martirosyan-Tran van Trung 96 18138304 Martirosyan-Tran van Trung 104 18516336 Martirosyan-Tran van Trung 112 18676384 Martirosyan-Tran van Trung 120 18813568 Martirosyan-Tran van Trung 128 18859296 Martirosyan-Tran van Trung 136 19035408 Martirosyan-Tran van Trung 144 19081136 Martirosyan-Tran van Trung 153 19431408 Power 17^2T8 170 19656688 Power 17^2T7 187 19886064 Power 17^2T6 204 20229232 Power 17^2T5 290 20447216 Power 17^2+1 291 22712640 Add a factor 292 24978064 Add a factor 307 26405168 Power 19^2S3 324 26863472 Power 19^2T1T1 342 27321776 Power 19^2T1 361 27780080 Power 19^2 362 30199168 Add a factor 363 32618256 Add a factor 364 35037344 Add a factor 365 37456432 Add a factor 374 39688062 Martirosyan-Tran van Trung 384 40031230 Martirosyan-Tran van Trung 388 40053966 Martirosyan-Tran van Trung 514 40894432 perfect hash family32,514,18 528 43065374 Martirosyan-Tran van Trung 544 43081614 Martirosyan-Tran van Trung 564 43088110 Martirosyan-Tran van Trung 572 43343022 Martirosyan-Tran van Trung 576 43359262 Martirosyan-Tran van Trung 577 45906142 Add a factor 580 46335046 Martirosyan-Tran van Trung 582 48687494 Martirosyan-Tran van Trung 584 50952918 Martirosyan-Tran van Trung 604 52470966 Martirosyan-Tran van Trung 608 52477462 Martirosyan-Tran van Trung 614 52483958 Martirosyan-Tran van Trung 620 52942262 Martirosyan-Tran van Trung 640 52948758 Martirosyan-Tran van Trung 644 55293950 Martirosyan-Tran van Trung 648 55360982 Martirosyan-Tran van Trung 656 55825782 Martirosyan-Tran van Trung 672 55974742 Martirosyan-Tran van Trung 680 55981238 Martirosyan-Tran van Trung 684 55990982 Martirosyan-Tran van Trung 704 56449286 Martirosyan-Tran van Trung 720 56583749 Martirosyan-Tran van Trung 722 57145765 Martirosyan-Tran van Trung 723 60458725 Add a factor 724 62090933 Martirosyan-Tran van Trung 726 64510021 Martirosyan-Tran van Trung 728 66929109 Martirosyan-Tran van Trung 731 67949313 Power N29^2S4 757 68047521 Power N29^2S3 784 68145729 Power N29^2T1T1 812 68243937 Power N29^2T1 842 68342145 Power N29^2+1 868 68702241 Power N31^2T3 871 68734977 Power N31^2S3 900 68767713 Power N31^2T1T1 930 68800449 Power N31^2T1 962 68833185 Power N31^2+1 964 69569745 Power N31^2+3 968 71214165 Martirosyan-Tran van Trung 1000 71230405 Martirosyan-Tran van Trung 1024 71236901 Martirosyan-Tran van Trung 1028 71741685 Martirosyan-Tran van Trung 1044 73496945 Power N37^2S10 1056 74049907 Martirosyan-Tran van Trung 1088 74082387 Martirosyan-Tran van Trung 1128 74095379 Martirosyan-Tran van Trung 1136 74350291 Martirosyan-Tran van Trung 1144 74543187 Martirosyan-Tran van Trung 1152 74575667 Martirosyan-Tran van Trung 1162 76245873 Power N37^2S6 1194 76933105 Power N37^2S5 1227 77620337 Power N37^2S4 1261 78307569 Power N37^2S3 1296 78994801 Power N37^2T1T1 1332 79682033 Power N37^2T1 1369 80369265 Power N37^2 1370 83728800 Power N37^2+1 1371 87436784 Add a factor 1372 88855935 Power N37^2+3 1381 89297054 Power N41^2S8 1415 90357862 Power N41^2S7 1450 91418670 Power N41^2S6 1486 92479478 Power N41^2S5 1523 93540286 Power N41^2S4 1561 94601094 Power N41^2S3 1600 95661902 Power N41^2T1T1 1640 96722710 Power N41^2T1 1681 97783518 Power N41^2 1682 101613806 Add a factor 1683 105444094 Add a factor 1684 109274382 Add a factor 1712 111547901 Martirosyan-Tran van Trung 1736 111683540 Martirosyan-Tran van Trung 1742 111716276 Martirosyan-Tran van Trung 1760 111749012 Martirosyan-Tran van Trung 1782 111931236 Martirosyan-Tran van Trung 1792 112541776 Martirosyan-Tran van Trung 1800 112561264 Martirosyan-Tran van Trung 1840 112594000 Martirosyan-Tran van Trung 1856 112685408 Martirosyan-Tran van Trung 1860 112777108 Martirosyan-Tran van Trung 1904 112809844 Martirosyan-Tran van Trung 1920 113177560 Martirosyan-Tran van Trung 1924 113184056 Martirosyan-Tran van Trung 1928 113920616 Martirosyan-Tran van Trung 1936 115565036 Martirosyan-Tran van Trung 1980 115991441 Martirosyan-Tran van Trung 2000 116485313 Martirosyan-Tran van Trung 2048 116584881 Martirosyan-Tran van Trung 2056 117187217 Martirosyan-Tran van Trung 2064 118942477 Martirosyan-Tran van Trung 2080 119189413 Martirosyan-Tran van Trung 2088 119208523 Martirosyan-Tran van Trung 2112 119761485 Martirosyan-Tran van Trung 2176 120028360 Martirosyan-Tran van Trung 2178 120047848 Martirosyan-Tran van Trung 2200 120294784 Martirosyan-Tran van Trung 2224 120665188 Martirosyan-Tran van Trung 2256 120912124 Martirosyan-Tran van Trung 2272 121167036 Martirosyan-Tran van Trung 2288 121386784 Martirosyan-Tran van Trung 2304 121656109 Martirosyan-Tran van Trung 2320 124610458 Martirosyan-Tran van Trung 2324 124697482 Martirosyan-Tran van Trung 2336 125384714 Martirosyan-Tran van Trung 2376 125475658 Martirosyan-Tran van Trung 2388 125599910 Martirosyan-Tran van Trung 2416 126287142 Martirosyan-Tran van Trung 2420 126382566 Martirosyan-Tran van Trung 2481 126535717 Power N73^2T33S12 2542 127596525 Power N73^2T32S12 2603 128312461 Power N73^2T31S12 2728 128819853 Power N73^2T29S12 2851 129553740 Power N73^2T27S12 2974 129915371 Power N73^2T25S12 3223 130270667 Power N73^2T21S12 3469 130407979 Power N73^2T17S12 3716 130525675 Power N73^2T13S12 3964 130564907 Power N73^2T9S12 4211 130623755 Power N73^2T5S12 4458 130662987 Power N73^2S13 4519 131748883 Power N73^2S12 4581 132834779 Power N73^2S11 4644 133920675 Power N73^2S10 5184 134617585 Power 32^3T23T14 5760 134842865 Power 32^3T22T14 6336 135072241 Power 32^3T21T14 6912 135415409 Power 32^3T20T14 10000 135633393 Power 31^3T13T13

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