Table for CAN(6,k,6) 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,6) 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 7 46656 composition 8 87818 MIPOG (Younis) 9 115811 MIPOG (Younis) 10 139638 MIPOG (Younis) 11 170982 composition 12 267222 Add a factor 14 343189 Martirosyan-Tran van Trung 16 410250 Martirosyan-Tran van Trung 17 534210 Add a factor 18 609673 Martirosyan-Tran van Trung 20 713455 Martirosyan-Tran van Trung 21 876115 Add a factor 22 901541 Martirosyan-Tran van Trung 24 1041533 Martirosyan-Tran van Trung 26 1186459 Martirosyan-Tran van Trung 28 1218608 Martirosyan-Tran van Trung 30 1320330 Martirosyan-Tran van Trung 32 1339150 Martirosyan-Tran van Trung 33 1551910 Add a factor 34 1628812 Martirosyan-Tran van Trung 36 1733537 Martirosyan-Tran van Trung 37 1958717 Add a factor 38 2016012 Martirosyan-Tran van Trung 40 2055876 Martirosyan-Tran van Trung 42 2258417 Martirosyan-Tran van Trung 44 2324448 Martirosyan-Tran van Trung 46 2493373 Martirosyan-Tran van Trung 48 2527824 Martirosyan-Tran van Trung 50 2699735 Martirosyan-Tran van Trung 52 2723101 Martirosyan-Tran van Trung 54 2781745 Martirosyan-Tran van Trung 56 2815641 Martirosyan-Tran van Trung 58 2942097 Martirosyan-Tran van Trung 60 2963354 Martirosyan-Tran van Trung 62 3019051 Martirosyan-Tran van Trung 64 3039376 Martirosyan-Tran van Trung 66 3288536 Martirosyan-Tran van Trung 68 3383043 Martirosyan-Tran van Trung 70 3506120 Martirosyan-Tran van Trung 72 3541324 Martirosyan-Tran van Trung 74 3785657 Martirosyan-Tran van Trung 76 3876725 Martirosyan-Tran van Trung 78 3933929 Martirosyan-Tran van Trung 80 3951124 Martirosyan-Tran van Trung 82 4188750 Martirosyan-Tran van Trung 84 4205955 Martirosyan-Tran van Trung 86 4302964 Martirosyan-Tran van Trung 88 4321164 Martirosyan-Tran van Trung 90 4506374 Martirosyan-Tran van Trung 92 4520754 Martirosyan-Tran van Trung 94 4660505 Martirosyan-Tran van Trung 96 4717715 Martirosyan-Tran van Trung 98 4997911 Martirosyan-Tran van Trung 100 5008411 Martirosyan-Tran van Trung 102 5052107 Martirosyan-Tran van Trung 104 5064707 Martirosyan-Tran van Trung 108 5153056 Martirosyan-Tran van Trung 110 5228206 Martirosyan-Tran van Trung 112 5233070 Martirosyan-Tran van Trung 114 5384778 Martirosyan-Tran van Trung 116 5394506 Martirosyan-Tran van Trung 118 5434474 Martirosyan-Tran van Trung 120 5444354 Martirosyan-Tran van Trung 124 5515592 Martirosyan-Tran van Trung 126 5543822 Martirosyan-Tran van Trung 128 5564092 Martirosyan-Tran van Trung 130 5863024 Martirosyan-Tran van Trung 132 5893960 Martirosyan-Tran van Trung 134 6004434 Martirosyan-Tran van Trung 136 6013482 Martirosyan-Tran van Trung 138 6152259 Martirosyan-Tran van Trung 140 6183005 Martirosyan-Tran van Trung 142 6235075 Martirosyan-Tran van Trung 144 6243449 Martirosyan-Tran van Trung 154 6257655 Power CT16^2T5T2 160 6293372 Power CT16^2T6 176 6324716 Power CT16^2T5 192 6420956 Power CT16^2T4 196 6429862 Power CT16^2T2T2 224 6496923 Power CT16^2T2 256 6563984 Power CT16^2 257 7144454 Add a factor 258 7724924 Add a factor 259 8313944 Add a factor 272 8423384 Power CT17^2T1 289 8547344 Power CT17^2 290 9145184 Add a factor 291 9746084 Add a factor 292 10346984 Add a factor 294 10730458 Martirosyan-Tran van Trung 296 10735358 Martirosyan-Tran van Trung 298 10749910 Martirosyan-Tran van Trung 300 10753634 Martirosyan-Tran van Trung 302 10762566 Martirosyan-Tran van Trung 304 10794886 Martirosyan-Tran van Trung 306 10874533 Martirosyan-Tran van Trung 308 10879681 Martirosyan-Tran van Trung 310 10921079 Martirosyan-Tran van Trung 312 10926227 Martirosyan-Tran van Trung 314 10967866 Martirosyan-Tran van Trung 316 11030086 Martirosyan-Tran van Trung 318 11049021 Martirosyan-Tran van Trung 320 11053421 Martirosyan-Tran van Trung 322 11099990 Martirosyan-Tran van Trung 324 11104790 Martirosyan-Tran van Trung 326 11111440 Martirosyan-Tran van Trung 342 11311482 Power CT19^2T1 362 11415264 Power CT19^2+1 363 12050484 Add a factor 364 12190484 Martirosyan-Tran van Trung 368 12200331 Martirosyan-Tran van Trung 372 12302404 Martirosyan-Tran van Trung 376 12326126 Martirosyan-Tran van Trung 380 12382225 Martirosyan-Tran van Trung 384 12391156 Martirosyan-Tran van Trung 388 12436569 Martirosyan-Tran van Trung 392 12457933 Martirosyan-Tran van Trung 396 12571775 Martirosyan-Tran van Trung 400 12594657 Martirosyan-Tran van Trung 404 12613947 Martirosyan-Tran van Trung 408 12620415 Martirosyan-Tran van Trung 412 12633141 Martirosyan-Tran van Trung 416 12641688 Martirosyan-Tran van Trung 420 12782324 Martirosyan-Tran van Trung 424 12791333 Martirosyan-Tran van Trung 428 12799880 Martirosyan-Tran van Trung 432 12819978 Martirosyan-Tran van Trung 436 12842335 Martirosyan-Tran van Trung 448 13060907 perfect hash family32,512,16T2 512 13127968 perfect hash family32,512,16 513 13835338 Add a factor 514 14359748 Martirosyan-Tran van Trung 516 14940218 Martirosyan-Tran van Trung 518 15530088 Martirosyan-Tran van Trung 520 15639528 Martirosyan-Tran van Trung 524 15658898 Martirosyan-Tran van Trung 528 15659648 Martirosyan-Tran van Trung 532 15687923 Martirosyan-Tran van Trung 536 15688498 Martirosyan-Tran van Trung 540 15690723 Martirosyan-Tran van Trung 544 15691473 Martirosyan-Tran van Trung 548 15844788 Martirosyan-Tran van Trung 552 15885153 Martirosyan-Tran van Trung 556 15904395 Martirosyan-Tran van Trung 560 15905120 Martirosyan-Tran van Trung 564 15938566 Martirosyan-Tran van Trung 568 15940501 Martirosyan-Tran van Trung 572 15943911 Martirosyan-Tran van Trung 576 15944561 Martirosyan-Tran van Trung 578 15975150 Martirosyan-Tran van Trung 579 16733040 Add a factor 580 17182558 Martirosyan-Tran van Trung 582 17784283 Martirosyan-Tran van Trung 584 18152322 Martirosyan-Tran van Trung 588 18161239 Martirosyan-Tran van Trung 592 18166764 Martirosyan-Tran van Trung 596 18211603 Martirosyan-Tran van Trung 600 18215802 Martirosyan-Tran van Trung 604 18243998 Martirosyan-Tran van Trung 608 18318505 Martirosyan-Tran van Trung 612 18425687 Martirosyan-Tran van Trung 616 18431485 Martirosyan-Tran van Trung 620 18474758 Martirosyan-Tran van Trung 624 18480556 Martirosyan-Tran van Trung 628 18568106 Martirosyan-Tran van Trung 632 18630926 Martirosyan-Tran van Trung 636 18668844 Martirosyan-Tran van Trung 640 18673794 Martirosyan-Tran van Trung 644 18769236 Martirosyan-Tran van Trung 648 18815452 Martirosyan-Tran van Trung 652 18824027 Martirosyan-Tran van Trung 659 19092881 Power N-CT29^2Arc(7) 664 19143296 Martirosyan-Tran van Trung 672 19145706 Martirosyan-Tran van Trung 682 19194603 Power N-CT29^2Arc(6) 684 19236067 Martirosyan-Tran van Trung 706 19296325 Power N-CT29^2Arc(5) 731 19398047 Power N-CT29^2Arc(4) 757 19499769 Power N-CT29^2Arc(3) 784 19601491 Power N-CT29^2T1T1 812 19703213 Power N-CT29^2T1 842 19804935 Power N-CT29^2+1 868 19966693 Power N-CT31^2T3 871 20030775 Power N-CT31^2Arc(3) 900 20049595 Power N-CT31^2T1T1 930 20068415 Power N-CT31^2T1 962 20087235 Power N-CT31^2+1 963 20955705 Add a factor 1024 21426384 Power CT32^2 1025 22301454 Add a factor 1026 23176524 Add a factor 1028 23993957 Martirosyan-Tran van Trung 1032 24574427 Martirosyan-Tran van Trung 1036 25165147 Martirosyan-Tran van Trung 1040 25274587 Martirosyan-Tran van Trung 1048 25471684 Martirosyan-Tran van Trung 1050 25522936 Martirosyan-Tran van Trung 1056 25534712 Martirosyan-Tran van Trung 1064 25587608 Martirosyan-Tran van Trung 1072 25588758 Martirosyan-Tran van Trung 1080 25606432 Martirosyan-Tran van Trung 1088 25607932 Martirosyan-Tran van Trung 1096 25785382 Martirosyan-Tran van Trung 1104 25827782 Martirosyan-Tran van Trung 1108 25884899 Martirosyan-Tran van Trung 1112 25935111 Martirosyan-Tran van Trung 1120 25936561 Martirosyan-Tran van Trung 1128 25995217 Martirosyan-Tran van Trung 1136 25999087 Martirosyan-Tran van Trung 1144 26018097 Martirosyan-Tran van Trung 1152 26019397 Martirosyan-Tran van Trung 1156 26073461 Martirosyan-Tran van Trung 1157 26993351 Add a factor 1160 27280869 Martirosyan-Tran van Trung 1164 27883419 Martirosyan-Tran van Trung 1168 28251458 Martirosyan-Tran van Trung 1194 28254840 Power N-CT37^2Arc(5) 1200 28355363 Martirosyan-Tran van Trung 1208 28471072 Martirosyan-Tran van Trung 1227 28480020 Power N-CT37^2Arc(4) 1232 28683419 Martirosyan-Tran van Trung 1261 28705200 Power N-CT37^2Arc(3) 1296 28930380 Power N-CT37^2T1T1 1332 29155560 Power N-CT37^2T1 1369 29380740 Power N-CT37^2 1381 29997496 Power N-CT41^2Arc(8) 1415 30200037 Power N-CT41^2Arc(7) 1450 30402578 Power N-CT41^2Arc(6) 1456 30513884 Martirosyan-Tran van Trung 1462 30526440 Martirosyan-Tran van Trung 1486 30605119 Power N-CT41^2Arc(5) 1488 30787824 Martirosyan-Tran van Trung 1523 30807660 Power N-CT41^2Arc(4) 1528 31001655 Martirosyan-Tran van Trung 1561 31010201 Power N-CT41^2Arc(3) 1600 31212742 Power N-CT41^2T1T1 1640 31415283 Power N-CT41^2T1 1682 31617824 Power N-CT41^2+1 1684 31940075 Martirosyan-Tran van Trung 1696 32101833 Martirosyan-Tran van Trung 1712 32117757 Martirosyan-Tran van Trung 1716 32151510 Martirosyan-Tran van Trung 1728 32207016 Martirosyan-Tran van Trung 1736 32236884 Martirosyan-Tran van Trung 1742 32300966 Martirosyan-Tran van Trung 1744 32319786 Martirosyan-Tran van Trung 1764 32410196 Power N-CT43^2T1T1 1806 32476227 Power N-CT43^2T1 1850 32542258 Power N-CT43^2+1 1856 33107511 Martirosyan-Tran van Trung 1860 33131758 Martirosyan-Tran van Trung 1872 33178050 Martirosyan-Tran van Trung 1888 33186823 Martirosyan-Tran van Trung 1902 33200722 Martirosyan-Tran van Trung 1904 33258486 Martirosyan-Tran van Trung 1920 33268746 Martirosyan-Tran van Trung 1924 33293706 Martirosyan-Tran van Trung 1926 34162176 Martirosyan-Tran van Trung 1936 34632855 Martirosyan-Tran van Trung 1940 34642545 Martirosyan-Tran van Trung 1952 34670145 Martirosyan-Tran van Trung 1960 34679550 Martirosyan-Tran van Trung 1968 34680860 Martirosyan-Tran van Trung 1974 34689410 Martirosyan-Tran van Trung 1980 34747502 Martirosyan-Tran van Trung 1984 34754422 Martirosyan-Tran van Trung 2000 34796329 Martirosyan-Tran van Trung 2016 34803504 Martirosyan-Tran van Trung 2032 34815146 Martirosyan-Tran van Trung 2048 34823756 Martirosyan-Tran van Trung 2068 35186146 Power N-CT47^2T3 2071 35286169 Power N-CT47^2Arc(3) 2116 35320620 Power N-CT47^2T1T1 2162 35355071 Power N-CT47^2T1 2210 35389522 Power N-CT47^2+1 2211 36591172 Add a factor 2212 37792822 Add a factor 2239 38240688 Power N-CT53^2Arc(12) 2281 38299332 Power N-CT53^2Arc(11) 2324 38357976 Power N-CT53^2Arc(10) 2368 38416620 Power N-CT53^2Arc(9) 2464 38420590 Power CT31^3T20T17T15 2560 38456307 Power CT31^3T21T15T15 2816 38487651 Power CT31^3T20T15T15 3072 38583891 Power CT31^3T19T15T15 3136 38592797 Power CT31^3T17T17T15 3584 38659858 Power CT31^3T17T15T15 4096 38726919 Power CT31^3T15T15T15 4352 38850879 Power CT31^3T15T15T14 4608 38926342 Power CT31^3T15T15T13 4624 38974839 Power CT31^3T15T14T14 5120 39030124 Power CT31^3T15T15T11 5184 39125765 Power CT31^3T15T13T13 5440 39154084 Power CT31^3T15T14T11 5632 39218210 Power CT31^3T15T15T9 5760 39229547 Power CT31^3T15T13T11 5780 39278044 Power CT31^3T14T14T11 5832 39325188 Power CT31^3T13T13T13 6400 39333329 Power CT31^3T15T11T11 6480 39428970 Power CT31^3T13T13T11 6800 39457289 Power CT31^3T14T11T11 7040 39521415 Power CT31^3T15T11T9 7200 39532752 Power CT31^3T13T11T11 8000 39636534 Power CT31^3T11T11T11 8192 39655819 Power CT32^3T16T16 8704 39779779 Power CT32^3T16T15 8800 39824620 Power CT31^3T11T11T9 8960 39838482 Power CT31^3T15T11T3 9216 39855242 Power CT32^3T16T14 9248 39903739 Power CT32^3T15T15 9600 39940204 Power CT31^3T15T11T1 10000 39959024 Power CT32^3T16T12

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