Table for CAN(6,k,9) 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,9) 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 10 531441 orthogonal array 11 997272 extended OA (Colbourn) 12 1469664 Add a factor 13 2356128 Add a factor 20 2598156 Martirosyan-Tran van Trung 21 3542292 Add a factor 22 4486428 Add a factor 23 5430564 Add a factor 24 6846444 Add a factor 25 8262324 Add a factor 26 8283195 Martirosyan-Tran van Trung 28 8735031 Martirosyan-Tran van Trung 30 8944839 Martirosyan-Tran van Trung 32 9154647 Martirosyan-Tran van Trung 34 9364455 Martirosyan-Tran van Trung 36 9469359 Martirosyan-Tran van Trung 38 9548037 Martirosyan-Tran van Trung 40 9626715 Martirosyan-Tran van Trung 41 11042595 Add a factor 42 11619927 Martirosyan-Tran van Trung 43 13824351 Add a factor 44 14698251 Martirosyan-Tran van Trung 46 16163055 Martirosyan-Tran van Trung 48 17578935 Martirosyan-Tran van Trung 50 18994815 Martirosyan-Tran van Trung 52 19015686 Martirosyan-Tran van Trung 56 19505538 Martirosyan-Tran van Trung 60 19753362 Martirosyan-Tran van Trung 64 20001186 Martirosyan-Tran van Trung 68 20249010 Martirosyan-Tran van Trung 72 20372922 Martirosyan-Tran van Trung 76 20465856 Martirosyan-Tran van Trung 78 20558790 Martirosyan-Tran van Trung 79 22763214 Add a factor 80 23910102 Martirosyan-Tran van Trung 81 26114526 Add a factor 82 26128638 Martirosyan-Tran van Trung 83 28333062 Add a factor 84 28706994 Martirosyan-Tran van Trung 85 31004730 Add a factor 88 32317182 Martirosyan-Tran van Trung 92 34233498 Martirosyan-Tran van Trung 96 35649378 Martirosyan-Tran van Trung 100 37065258 Martirosyan-Tran van Trung 104 37086129 Martirosyan-Tran van Trung 112 37613997 Martirosyan-Tran van Trung 120 37899837 Martirosyan-Tran van Trung 128 38185677 Martirosyan-Tran van Trung 136 38471517 Martirosyan-Tran van Trung 144 38614437 Martirosyan-Tran van Trung 152 38721627 Martirosyan-Tran van Trung 156 38828817 Martirosyan-Tran van Trung 190 39503765 Power 19^2T9 209 39969596 Power 19^2T8 228 40441988 Power 19^2T7 247 41328452 Power 19^2T6 362 41570480 Power 19^2+1 363 46294904 Add a factor 364 51019328 Add a factor 365 55743752 Add a factor 366 60468176 Add a factor 367 65192600 Add a factor 368 69917024 Add a factor 369 74641448 Add a factor 373 79335920 Power 23^2S8 378 79395344 Martirosyan-Tran van Trung 389 80280056 Power 23^2S7 406 81224192 Power 23^2S6 424 82168328 Power 23^2S5 443 83112464 Power 23^2S4 516 83140960 perfect hash family32,516,20 529 86889008 Power 23^2 544 88559883 Martirosyan-Tran van Trung 556 88578891 Martirosyan-Tran van Trung 560 88607403 Martirosyan-Tran van Trung 576 88616907 Martirosyan-Tran van Trung 596 88631163 Martirosyan-Tran van Trung 608 88669179 Martirosyan-Tran van Trung 624 88683435 Martirosyan-Tran van Trung 640 89384363 Martirosyan-Tran van Trung 702 89970771 Martirosyan-Tran van Trung 724 94899171 Martirosyan-Tran van Trung 725 99955371 Add a factor 726 101536491 Martirosyan-Tran van Trung 728 106341147 Martirosyan-Tran van Trung 730 111075075 Martirosyan-Tran van Trung 732 115799499 Martirosyan-Tran van Trung 734 120523923 Martirosyan-Tran van Trung 736 125248347 Martirosyan-Tran van Trung 738 129972771 Martirosyan-Tran van Trung 748 133409605 Power N41^2T16S13 779 133430476 Power N41^2T15S13 784 133752954 Power N29^2T1T1 838 133882312 Power N41^2T13S13 898 134092120 Power N41^2T11S13 957 134301928 Power N41^2T9S13 1016 134511736 Power N41^2T7S13 1076 134616640 Power N41^2T5S13 1134 134695318 Power N41^2T3S13 1194 134773996 Power N41^2S14 1223 136189876 Power N41^2S13 1253 137605756 Power N41^2S12 1284 139021636 Power N41^2S11 1316 140437516 Power N41^2S10 1348 141853396 Power N41^2S9 1370 143220540 Power N37^2+1 1381 143269276 Power N41^2S8 1415 144685156 Power N41^2S7 1450 146101036 Power N41^2S6 1486 147516916 Power N41^2S5 1523 148932796 Power N41^2S4 1561 150348676 Power N41^2S3 1600 151764556 Power N41^2T1T1 1640 153180436 Power N41^2T1 1681 154596316 Power N41^2 1682 162249700 Add a factor 1683 169903084 Add a factor 1684 177556468 Add a factor 1685 185209852 Add a factor 1723 186927628 Power N43^2S3 1764 189132052 Power N43^2T1T1 1806 191336476 Power N43^2T1 1849 193540900 Power N43^2 1850 201666028 Add a factor 1851 209791156 Add a factor 1872 213789203 Martirosyan-Tran van Trung 1914 213955091 Martirosyan-Tran van Trung 1920 214164899 Martirosyan-Tran van Trung 1944 214202915 Martirosyan-Tran van Trung 1962 214854515 Martirosyan-Tran van Trung 1980 216312579 Martirosyan-Tran van Trung 2000 217770643 Martirosyan-Tran van Trung 2032 219228707 Martirosyan-Tran van Trung 2034 219333611 Martirosyan-Tran van Trung 2048 227441918 Martirosyan-Tran van Trung 2052 227479934 Martirosyan-Tran van Trung 2064 228063590 Martirosyan-Tran van Trung 2106 228101606 Martirosyan-Tran van Trung 2152 229488038 Martirosyan-Tran van Trung 2176 229566716 Martirosyan-Tran van Trung 2178 229585724 Martirosyan-Tran van Trung 2196 230876540 Martirosyan-Tran van Trung 2224 231078728 Martirosyan-Tran van Trung 2240 231107240 Martirosyan-Tran van Trung 2260 231116744 Martirosyan-Tran van Trung 2268 232203989 Martirosyan-Tran van Trung 2304 232698995 Martirosyan-Tran van Trung 2322 232713251 Martirosyan-Tran van Trung 2384 233351331 Martirosyan-Tran van Trung 2388 233389347 Martirosyan-Tran van Trung 2412 234805227 Martirosyan-Tran van Trung 2432 235019367 Martirosyan-Tran van Trung 2446 235033623 Martirosyan-Tran van Trung 2484 236449503 Martirosyan-Tran van Trung 2496 236889735 Martirosyan-Tran van Trung 2502 237590663 Martirosyan-Tran van Trung 2506 238074599 Martirosyan-Tran van Trung 2520 239490479 Martirosyan-Tran van Trung 2556 239652815 Martirosyan-Tran van Trung 2560 241339487 Martirosyan-Tran van Trung 2568 241925895 Martirosyan-Tran van Trung 2628 243341775 Martirosyan-Tran van Trung 2632 243498031 Martirosyan-Tran van Trung 2682 244913911 Martirosyan-Tran van Trung 2696 245568375 Martirosyan-Tran van Trung 2740 246935519 Martirosyan-Tran van Trung 2754 246984255 Martirosyan-Tran van Trung 2762 248252907 Martirosyan-Tran van Trung 2800 249668787 Martirosyan-Tran van Trung 2808 250091671 Martirosyan-Tran van Trung 2830 250792599 Martirosyan-Tran van Trung 2896 252208479 Martirosyan-Tran van Trung 2900 254121375 Martirosyan-Tran van Trung 2920 255216974 Power N73^2T33 2952 255875823 Martirosyan-Tran van Trung 2993 256632854 Power N73^2T32 3024 257117252 Power N73^2T31T1 3066 257210186 Power N73^2T31 3096 259321676 Power N73^2T30T1 3139 259414610 Power N73^2T30 3168 260195576 Power N73^2T29T1 3212 260288510 Power N73^2T29 3223 261474512 Power N73^2T27S3 3267 261567446 Power N73^2T27S2 3312 261660380 Power N73^2T27T1 3358 261753314 Power N73^2T27 3363 262890392 Power N73^2T25S3 3409 262983326 Power N73^2T25S2 3456 263076260 Power N73^2T25T1 3504 263169194 Power N73^2T25 3517 264073523 Power N73^2T17S11 3545 264141275 Power N73^2T21S5 3565 264166457 Power N73^2T17S10 3716 264228413 Power N73^2T13S12 3767 264321347 Power N73^2T13S11 3819 264414281 Power N73^2T13S10 3964 264476237 Power N73^2T9S12 4019 264569171 Power N73^2T9S11 4074 264662105 Power N73^2T9S10 4211 264724061 Power N73^2T5S12 4269 264816995 Power N73^2T5S11 4458 264847973 Power N73^2S13 4519 264940907 Power N73^2S12 4581 265033841 Power N73^2S11 4644 265126775 Power N73^2S10 4708 265219709 Power N73^2S9 4773 265312643 Power N73^2S8 4839 265405577 Power N73^2S7 4906 265498511 Power N73^2S6 4974 265591445 Power N73^2S5 5043 265684379 Power N73^2S4 5113 265777313 Power N73^2S3 5184 265870247 Power N73^2T1T1 5256 265963181 Power N73^2T1 5332 266056115 Power N73^2+3 6400 268614329 Power 32^3T22T12 7040 269080160 Power 32^3T21T12 7680 269552552 Power 32^3T20T12 8320 270439016 Power 32^3T19T12 10000 270681044 Power 31^3T11T11

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