Table for CAN(6,k,7) 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,7) 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 8 117649 orthogonal array 9 216090 extended OA (Colbourn) 10 316932 Add a factor 11 469350 Add a factor 14 521017 double OA (Colbourn-Zhou) 16 537481 double OA (Colbourn-Zhou) 17 738871 Add a factor 18 940261 Add a factor 19 1141651 Add a factor 20 1343041 Add a factor 21 1644979 Add a factor 22 1788647 Martirosyan-Tran van Trung 26 1897854 Martirosyan-Tran van Trung 28 1945804 Martirosyan-Tran van Trung 30 1991038 Martirosyan-Tran van Trung 32 2019808 Martirosyan-Tran van Trung 33 2422294 Add a factor 34 2426056 Martirosyan-Tran van Trung 36 2656216 Martirosyan-Tran van Trung 37 3058702 Add a factor 38 3411576 Martirosyan-Tran van Trung 40 3627344 Martirosyan-Tran van Trung 42 3970582 Martirosyan-Tran van Trung 44 4114250 Martirosyan-Tran van Trung 52 4264813 Martirosyan-Tran van Trung 56 4337641 Martirosyan-Tran van Trung 60 4389175 Martirosyan-Tran van Trung 64 4859953 Martirosyan-Tran van Trung 65 5390245 Add a factor 66 5817745 Martirosyan-Tran van Trung 68 5821507 Martirosyan-Tran van Trung 72 6057967 Martirosyan-Tran van Trung 73 6683179 Add a factor 74 6793404 Martirosyan-Tran van Trung 76 7034223 Martirosyan-Tran van Trung 80 7252091 Martirosyan-Tran van Trung 84 7624351 Martirosyan-Tran van Trung 88 7768019 Martirosyan-Tran van Trung 104 7935382 Martirosyan-Tran van Trung 108 8020810 Martirosyan-Tran van Trung 112 8163384 Power CT16^2T8T2 128 8179848 Power CT16^2T8 144 8278289 Power CT16^2T7 160 8379131 Power CT16^2T6 176 8531549 Power CT16^2T5 196 8566752 Power CT16^2T2T2 224 8583216 Power CT16^2T2 256 8599680 Power CT16^2 257 9582522 Add a factor 258 10565364 Add a factor 259 11548206 Add a factor 272 11620530 Power CT17^2T1 289 11821920 Power CT17^2 290 12804762 Add a factor 291 13787604 Add a factor 292 14770446 Add a factor 293 15753288 Add a factor 294 16736130 Add a factor 320 16978811 perfect hash family32,512,16T6 352 17131229 perfect hash family32,512,16T5 448 17182896 perfect hash family32,512,16T2 512 17199360 perfect hash family32,512,16 513 18532398 Add a factor 514 19865436 Add a factor 515 21255636 Add a factor 516 22645836 Add a factor 518 23927217 Martirosyan-Tran van Trung 520 23999541 Martirosyan-Tran van Trung 524 24001641 Martirosyan-Tran van Trung 540 24003741 Martirosyan-Tran van Trung 544 24005841 Martirosyan-Tran van Trung 568 24213531 Martirosyan-Tran van Trung 576 24217731 Martirosyan-Tran van Trung 578 24505311 Martirosyan-Tran van Trung 579 26015379 Add a factor 580 27525447 Add a factor 581 29035515 Add a factor 596 29413215 Power N-CT29^2Arc(10) 616 29458449 Power N-CT29^2Arc(9) 637 29503683 Power N-CT29^2Arc(8) 659 29548917 Power N-CT29^2Arc(7) 682 29594151 Power N-CT29^2Arc(6) 706 29639385 Power N-CT29^2Arc(5) 731 29684619 Power N-CT29^2Arc(4) 757 29729853 Power N-CT29^2Arc(3) 784 29775087 Power N-CT29^2T1T1 812 29820321 Power N-CT29^2T1 842 29865555 Power N-CT29^2+1 843 30182025 Power N-CT31^2Arc(4) 871 30210795 Power N-CT31^2Arc(3) 900 30239565 Power N-CT31^2T1T1 930 30268335 Power N-CT31^2T1 962 30297105 Power N-CT31^2+1 963 31957365 Add a factor 1024 32316912 Power CT32^2 1025 33994770 Add a factor 1026 35653367 Martirosyan-Tran van Trung 1028 36986405 Martirosyan-Tran van Trung 1030 38376605 Martirosyan-Tran van Trung 1032 39766805 Martirosyan-Tran van Trung 1036 41048186 Martirosyan-Tran van Trung 1040 41120510 Martirosyan-Tran van Trung 1042 41124710 Martirosyan-Tran van Trung 1048 41323310 Martirosyan-Tran van Trung 1080 41327510 Martirosyan-Tran van Trung 1088 41496446 Martirosyan-Tran van Trung 1106 41710436 Martirosyan-Tran van Trung 1120 41756828 Martirosyan-Tran van Trung 1134 42013420 Martirosyan-Tran van Trung 1136 42912687 Martirosyan-Tran van Trung 1152 42990245 Martirosyan-Tran van Trung 1162 43465599 Power N-CT37^2Arc(6) 1194 43868085 Power N-CT37^2Arc(5) 1227 44270571 Power N-CT37^2Arc(4) 1261 44673057 Power N-CT37^2Arc(3) 1296 45075543 Power N-CT37^2T1T1 1332 45478029 Power N-CT37^2T1 1369 45880515 Power N-CT37^2 1370 47567193 Add a factor 1371 49253871 Add a factor 1372 50592626 Martirosyan-Tran van Trung 1378 50615486 Martirosyan-Tran van Trung 1386 50764698 Martirosyan-Tran van Trung 1392 50839304 Martirosyan-Tran van Trung 1400 50918110 Martirosyan-Tran van Trung 1408 50930818 Martirosyan-Tran van Trung 1412 50956018 Martirosyan-Tran van Trung 1422 51001252 Martirosyan-Tran van Trung 1440 51075460 Martirosyan-Tran van Trung 1442 51140812 Martirosyan-Tran van Trung 1456 51150180 Martirosyan-Tran van Trung 1458 51314176 Martirosyan-Tran van Trung 1462 51361136 Martirosyan-Tran van Trung 1484 51406370 Martirosyan-Tran van Trung 1512 51408062 Martirosyan-Tran van Trung 1514 51488318 Martirosyan-Tran van Trung 1526 51533552 Martirosyan-Tran van Trung 1554 51561896 Martirosyan-Tran van Trung 1568 51590312 Martirosyan-Tran van Trung 1596 51739982 Martirosyan-Tran van Trung 1600 51768470 Martirosyan-Tran van Trung 1610 52010708 Martirosyan-Tran van Trung 1616 52039268 Martirosyan-Tran van Trung 1624 52041368 Martirosyan-Tran van Trung 1644 52161712 Martirosyan-Tran van Trung 1648 52236822 Martirosyan-Tran van Trung 1664 52238922 Martirosyan-Tran van Trung 1680 52255722 Martirosyan-Tran van Trung 1684 52355454 Martirosyan-Tran van Trung 1686 52671924 Martirosyan-Tran van Trung 1696 52700694 Martirosyan-Tran van Trung 1718 52702386 Martirosyan-Tran van Trung 1726 52777496 Martirosyan-Tran van Trung 1728 52852606 Martirosyan-Tran van Trung 1742 52983406 Martirosyan-Tran van Trung 1744 53012176 Martirosyan-Tran van Trung 1764 53014276 Martirosyan-Tran van Trung 1776 53555896 Martirosyan-Tran van Trung 1792 53557996 Martirosyan-Tran van Trung 1800 53812852 Martirosyan-Tran van Trung 1806 53920682 Martirosyan-Tran van Trung 1820 53999742 Martirosyan-Tran van Trung 1824 54028518 Martirosyan-Tran van Trung 1834 54030618 Martirosyan-Tran van Trung 1840 54059466 Martirosyan-Tran van Trung 1860 54140626 Martirosyan-Tran van Trung 1890 54169396 Martirosyan-Tran van Trung 1914 54198316 Martirosyan-Tran van Trung 1920 54277376 Martirosyan-Tran van Trung 1924 54441476 Martirosyan-Tran van Trung 1926 56101736 Martirosyan-Tran van Trung 1944 56461283 Martirosyan-Tran van Trung 1960 56480723 Martirosyan-Tran van Trung 1988 56487527 Martirosyan-Tran van Trung 2016 56527019 Martirosyan-Tran van Trung 2048 56752143 Martirosyan-Tran van Trung 2304 57845645 Power CT31^3T22T15T15 2560 57946487 Power CT31^3T21T15T15 2816 58098905 Power CT31^3T20T15T15 3136 58134108 Power CT31^3T17T17T15 3584 58150572 Power CT31^3T17T15T15 4096 58167036 Power CT31^3T15T15T15 4352 58368426 Power CT31^3T15T15T14 4624 58569816 Power CT31^3T15T14T14 4913 58771206 Power CT31^3T14T14T14 5202 58972596 Power CT31^3T14T14T13 5508 59173986 Power CT31^3T14T13T13 5832 59375376 Power CT31^3T13T13T13 6656 59527409 Power CT31^3T15T15T5 7168 59575359 Power CT31^3T15T15T3 7680 59620593 Power CT31^3T15T15T1 8192 59649363 Power CT32^3T16T16 8704 59850753 Power CT32^3T16T15 9248 60052143 Power CT32^3T15T15 9792 60253533 Power CT32^3T15T14 10000 60454923 Power CT31^3T13T13

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