Table for CAN(6,k,11) 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,11) 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 12 1771561 orthogonal array 13 3367430 extended OA (Colbourn) 14 4826805 orthogonal array fuse fuse 15 7086240 perfect hash family4,15,12 24 8696754 Martirosyan-Tran van Trung 25 11916564 Add a factor 26 16587274 Add a factor 28 21786773 Martirosyan-Tran van Trung 29 24801840 perfect hash family14,29,12 33 26573400 perfect hash family15,33,12 36 28344960 perfect hash family16,36,12 37 30116520 perfect hash family17,37,12 38 30500987 Martirosyan-Tran van Trung 40 31086407 Martirosyan-Tran van Trung 42 31671827 Martirosyan-Tran van Trung 44 32081621 Martirosyan-Tran van Trung 46 32725583 Martirosyan-Tran van Trung 48 38766603 Martirosyan-Tran van Trung 49 40745880 perfect hash family23,49,12 50 42517440 perfect hash family24,50,12 52 44289000 perfect hash family25,52,12 55 46060560 perfect hash family26,55,12 59 47832120 perfect hash family27,59,12 60 52282995 perfect hash family16,65,13T1 65 53878864 perfect hash family16,65,13 66 61492074 Add a factor 67 69105284 Add a factor 68 75983793 Martirosyan-Tran van Trung 72 76064973 Martirosyan-Tran van Trung 74 77935753 Martirosyan-Tran van Trung 76 78320220 Martirosyan-Tran van Trung 80 78995840 Martirosyan-Tran van Trung 84 79671460 Martirosyan-Tran van Trung 88 80144394 Martirosyan-Tran van Trung 92 80887576 Martirosyan-Tran van Trung 96 88247596 Martirosyan-Tran van Trung 98 93142973 Martirosyan-Tran van Trung 100 96902573 Martirosyan-Tran van Trung 101 104515783 Add a factor 104 106006623 Martirosyan-Tran van Trung 110 108528193 Martirosyan-Tran van Trung 112 110299753 Martirosyan-Tran van Trung 118 111418653 Martirosyan-Tran van Trung 120 113379840 RBIBD 128 117474417 Martirosyan-Tran van Trung 130 117564617 Martirosyan-Tran van Trung 132 120783473 Power 16^2T2S9 133 121432394 Power 16^2S11 140 122393987 Power 16^2T2S8 147 124004501 Power 16^2T2S7 148 124653422 Power 16^2S9 155 125615015 Power 16^2T2S6 156 126263936 Power 16^2S8 164 127225529 Power 16^2T2S5 165 127874450 perfect hash family16,256,16S7 168 128352906 Power 16^2T4T2 169 128489400 Power 16^2T3T3 174 128836043 Power 16^2T2S4 175 129484964 perfect hash family16,256,16S6 182 129948775 Power 16^2T3T2 185 130446557 Power 16^2T2S3 186 131095478 perfect hash family16,256,16S5 196 131408150 Power 16^2T2T2 197 132057071 Power 16^2T2S2 276 132222855 Power 23^2T11 299 133818724 Power 23^2T10 322 135278099 Power 23^2T9 345 137537534 Power 23^2T8 530 139148048 Power 23^2+1 531 155546958 Add a factor 532 171945868 Add a factor 553 181005578 Power 25^2S3 576 184225388 Power 25^2T1T1 600 187445198 Power 25^2T1 625 190665008 Power 25^2 626 208273918 Add a factor 627 225882828 Add a factor 628 243491738 Add a factor 629 261100648 Add a factor 630 278709558 Add a factor 644 295471955 Martirosyan-Tran van Trung 668 297731390 Martirosyan-Tran van Trung 690 297740410 Martirosyan-Tran van Trung 704 299350924 Martirosyan-Tran van Trung 764 299955924 Martirosyan-Tran van Trung 768 300010044 Martirosyan-Tran van Trung 796 300046124 Martirosyan-Tran van Trung 812 302122121 Martirosyan-Tran van Trung 838 302212321 Martirosyan-Tran van Trung 840 314830201 Martirosyan-Tran van Trung 860 319050681 Martirosyan-Tran van Trung 864 319131861 Martirosyan-Tran van Trung 908 319140881 Martirosyan-Tran van Trung 968 319231081 Martirosyan-Tran van Trung 976 319474071 Martirosyan-Tran van Trung 1060 320562731 Martirosyan-Tran van Trung 1061 338171641 Add a factor 1062 343749741 Martirosyan-Tran van Trung 1063 361358651 Add a factor 1064 366889481 Martirosyan-Tran van Trung 1084 375949191 Martirosyan-Tran van Trung 1088 376003311 Martirosyan-Tran van Trung 1100 376113631 Martirosyan-Tran van Trung 1106 386519994 Martirosyan-Tran van Trung 1144 389739804 Martirosyan-Tran van Trung 1152 390282404 Martirosyan-Tran van Trung 1160 393808894 Martirosyan-Tran van Trung 1200 393826934 Martirosyan-Tran van Trung 1204 408218424 Martirosyan-Tran van Trung 1232 408928581 Martirosyan-Tran van Trung 1248 410018281 Martirosyan-Tran van Trung 1250 410045341 Martirosyan-Tran van Trung 1251 427654251 Add a factor 1253 436380524 Power N41^2S12 1257 436550877 Power N41^2T8S3 1275 436566177 Power N41^2T5S6 1296 436751830 Power N41^2T5T5 1306 437151597 Power N41^2T5S5 1316 437551364 Power N41^2S10 1320 437721717 Power N41^2T8T1 1338 437737017 Power N41^2T5S4 1348 438136784 Power N41^2S9 1353 438307137 Power N41^2T8 1371 438322437 Power N41^2T5S3 1381 438722204 Power N41^2S8 1405 438907857 Power N41^2T5S2 1415 439307624 Power N41^2S7 1440 439493277 Power N41^2T5T1 1450 439893044 Power N41^2S6 1476 440078697 Power N41^2T5 1486 440478464 Power N41^2S5 1523 441063884 Power N41^2S4 1561 441649304 Power N41^2S3 1600 442234724 Power N41^2T1T1 1640 442820144 Power N41^2T1 1682 443405564 Power N41^2+1 1683 447503504 Power N43^2S4 1723 447913298 Power N43^2S3 1764 448323092 Power N43^2T1T1 1806 448732886 Power N43^2T1 1850 449142680 Power N43^2+1 1852 458158148 Power N43^2+3 1853 481423478 Add a factor 1861 494404268 Power N47^2S8 1901 500445288 Power N47^2S7 1942 506486308 Power N47^2S6 1984 512527328 Power N47^2S5 2027 518568348 Power N47^2S4 2071 524609368 Power N47^2S3 2116 530650388 Power N47^2T1T1 2162 536691408 Power N47^2T1 2210 542732428 Power N47^2+1 2211 567940798 Add a factor 2212 593149168 Add a factor 2213 618357538 Add a factor 2218 622655049 Power N53^2T7S5 2238 623589106 Power N53^2S12 2260 624426609 Power N53^2T7S4 2281 625360666 Power N53^2S11 2303 626198169 Power N53^2T7S3 2324 627132226 Power N53^2S10 2347 627969729 Power N53^2T7S2 2368 628903786 Power N53^2S9 2392 629741289 Power N53^2T7T1 2413 630675346 Power N53^2S8 2438 631512849 Power N53^2T7 2459 632446906 Power N53^2S7 2506 634218466 Power N53^2S6 2554 635990026 Power N53^2S5 2603 637761586 Power N53^2S4 2653 639533146 Power N53^2S3 2704 641304706 Power N53^2T1T1 2756 643076266 Power N53^2T1 2811 644847826 Power N53^2+2 2832 660584149 Power N59^2T11 2891 662563426 Power N59^2T10 2950 664334986 Power N59^2T9 3068 666106546 Power N59^2T7 3245 667878106 Power N59^2T4 3481 669649666 Power N59^2 3482 699662176 Add a factor 3483 729674686 Add a factor 3540 746661469 Power N61^2T2T1 3599 748257338 Power N61^2T2 3600 751112344 Power N61^2T1T1 3660 752708213 Power N61^2T1 3724 754304082 Power N61^2+3 4608 774171691 Power 32^3T20T20 4992 775767560 Power 32^3T20T19 5376 777226935 Power 32^3T20T18 5408 777363429 Power 32^3T19T19 5824 778822804 Power 32^3T19T18 6272 780282179 Power 32^3T18T18 9216 781096884 Power 32^3T20T8 9984 782692753 Power 32^3T19T8 10000 784152128 Power 31^3T17T7

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