Table for CAN(6,k,6) 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,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 185472 composition 12 282582 Add a factor 14 343189 Martirosyan-Tran van Trung 16 410250 Martirosyan-Tran van Trung 17 554040 Add a factor 18 611973 Martirosyan-Tran van Trung 20 735661 Martirosyan-Tran van Trung 21 910891 Add a factor 22 945311 Martirosyan-Tran van Trung 24 1095293 Martirosyan-Tran van Trung 26 1250454 Martirosyan-Tran van Trung 28 1302219 Martirosyan-Tran van Trung 30 1414046 Martirosyan-Tran van Trung 32 1433218 Martirosyan-Tran van Trung 33 1661158 Add a factor 34 1730509 Martirosyan-Tran van Trung 36 1806868 Martirosyan-Tran van Trung 37 2048188 Add a factor 38 2103532 Martirosyan-Tran van Trung 40 2146142 Martirosyan-Tran van Trung 42 2364041 Martirosyan-Tran van Trung 44 2440954 Martirosyan-Tran van Trung 46 2632393 Martirosyan-Tran van Trung 48 2673784 Martirosyan-Tran van Trung 50 2869728 Martirosyan-Tran van Trung 52 2910312 Martirosyan-Tran van Trung 54 3001642 Martirosyan-Tran van Trung 56 3036396 Martirosyan-Tran van Trung 58 3153913 Martirosyan-Tran van Trung 60 3159438 Martirosyan-Tran van Trung 62 3244743 Martirosyan-Tran van Trung 64 3266672 Martirosyan-Tran van Trung 66 3532094 Martirosyan-Tran van Trung 68 3622170 Martirosyan-Tran van Trung 70 3736287 Martirosyan-Tran van Trung 72 3757647 Martirosyan-Tran van Trung 74 4018784 Martirosyan-Tran van Trung 76 4093957 Martirosyan-Tran van Trung 78 4155663 Martirosyan-Tran van Trung 80 4174158 Martirosyan-Tran van Trung 82 4427946 Martirosyan-Tran van Trung 84 4446307 Martirosyan-Tran van Trung 86 4557458 Martirosyan-Tran van Trung 88 4574362 Martirosyan-Tran van Trung 90 4783058 Martirosyan-Tran van Trung 92 4799898 Martirosyan-Tran van Trung 94 4947681 Martirosyan-Tran van Trung 96 5019285 Martirosyan-Tran van Trung 98 5258393 Martirosyan-Tran van Trung 100 5269453 Martirosyan-Tran van Trung 102 5351643 Martirosyan-Tran van Trung 104 5365083 Martirosyan-Tran van Trung 108 5472128 Martirosyan-Tran van Trung 110 5545432 Martirosyan-Tran van Trung 112 5555992 Martirosyan-Tran van Trung 114 5730319 Martirosyan-Tran van Trung 116 5740815 Martirosyan-Tran van Trung 118 5763017 Martirosyan-Tran van Trung 120 5773677 Martirosyan-Tran van Trung 122 5885386 Martirosyan-Tran van Trung 124 5894570 Martirosyan-Tran van Trung 126 5934861 Martirosyan-Tran van Trung 128 5945521 Martirosyan-Tran van Trung 132 6211538 Power 16^2T5T4 140 6226311 Power 16^2T6T2 144 6269545 Power 16^2T7 154 6272145 Power 16^2T5T2 160 6293372 Power 16^2T6 176 6339206 Power 16^2T5 196 6429862 Power 16^2T2T2 224 6496923 Power 16^2T2 256 6563984 Power 16^2 257 7150364 Add a factor 258 7736744 Add a factor 259 8334704 Add a factor 272 8720834 Power 17^2T1 289 8864624 Power 17^2 290 9486404 Add a factor 291 10108964 Add a factor 292 10731524 Add a factor 294 10935817 Martirosyan-Tran van Trung 296 10941017 Martirosyan-Tran van Trung 298 10954733 Martirosyan-Tran van Trung 300 10958685 Martirosyan-Tran van Trung 302 10966691 Martirosyan-Tran van Trung 304 10971891 Martirosyan-Tran van Trung 306 11079494 Martirosyan-Tran van Trung 308 11084954 Martirosyan-Tran van Trung 310 11139698 Martirosyan-Tran van Trung 312 11145210 Martirosyan-Tran van Trung 314 11158352 Martirosyan-Tran van Trung 316 11220860 Martirosyan-Tran van Trung 318 11238773 Martirosyan-Tran van Trung 320 11243437 Martirosyan-Tran van Trung 322 11305944 Martirosyan-Tran van Trung 324 11311032 Martirosyan-Tran van Trung 326 11349902 Martirosyan-Tran van Trung 342 11646872 Power 19^2T1 362 11770560 Power 19^2+1 363 12495000 Add a factor 364 12536338 Martirosyan-Tran van Trung 368 12553312 Martirosyan-Tran van Trung 372 12655903 Martirosyan-Tran van Trung 376 12668402 Martirosyan-Tran van Trung 380 12739620 Martirosyan-Tran van Trung 384 12749097 Martirosyan-Tran van Trung 388 12786726 Martirosyan-Tran van Trung 392 12796689 Martirosyan-Tran van Trung 396 12923454 Martirosyan-Tran van Trung 400 12947294 Martirosyan-Tran van Trung 404 12970144 Martirosyan-Tran van Trung 408 13012940 Martirosyan-Tran van Trung 412 13026402 Martirosyan-Tran van Trung 416 13035541 Martirosyan-Tran van Trung 448 13060907 perfect hash family32,512,16T2 512 13127968 perfect hash family32,512,16 513 13973008 Add a factor 514 14781429 Martirosyan-Tran van Trung 516 15367809 Martirosyan-Tran van Trung 518 15974167 Martirosyan-Tran van Trung 520 16360297 Martirosyan-Tran van Trung 524 16504236 Martirosyan-Tran van Trung 528 16511826 Martirosyan-Tran van Trung 532 16532201 Martirosyan-Tran van Trung 536 16538020 Martirosyan-Tran van Trung 540 16562038 Martirosyan-Tran van Trung 544 16584403 Martirosyan-Tran van Trung 548 16745507 Martirosyan-Tran van Trung 552 16752844 Martirosyan-Tran van Trung 556 16761428 Martirosyan-Tran van Trung 560 17019144 Martirosyan-Tran van Trung 564 17033906 Martirosyan-Tran van Trung 568 17040231 Martirosyan-Tran van Trung 572 17050709 Martirosyan-Tran van Trung 576 17057287 Martirosyan-Tran van Trung 578 17116279 Martirosyan-Tran van Trung 579 18001819 Add a factor 580 18043207 Martirosyan-Tran van Trung 582 18674182 Martirosyan-Tran van Trung 584 19188796 Martirosyan-Tran van Trung 588 19204247 Martirosyan-Tran van Trung 592 19215822 Martirosyan-Tran van Trung 596 19244523 Martirosyan-Tran van Trung 600 19253320 Martirosyan-Tran van Trung 604 19270836 Martirosyan-Tran van Trung 608 19282411 Martirosyan-Tran van Trung 612 19489935 Martirosyan-Tran van Trung 616 19502077 Martirosyan-Tran van Trung 620 19565110 Martirosyan-Tran van Trung 624 19577304 Martirosyan-Tran van Trung 628 19604758 Martirosyan-Tran van Trung 630 19708234 Martirosyan-Tran van Trung 632 19759318 Martirosyan-Tran van Trung 636 19791484 Martirosyan-Tran van Trung 640 19801802 Martirosyan-Tran van Trung 644 19882062 Martirosyan-Tran van Trung 648 19893318 Martirosyan-Tran van Trung 652 19945617 Martirosyan-Tran van Trung 659 20427886 Power N29^2S7 682 20539713 Power N29^2S6 706 20651540 Power N29^2S5 731 20763367 Power N29^2S4 757 20875194 Power N29^2S3 784 20987021 Power N29^2T1T1 812 21098848 Power N29^2T1 842 21210675 Power N29^2+1 868 21367256 Power N31^2T3 871 21440739 Power N31^2S3 900 21459911 Power N31^2T1T1 930 21479083 Power N31^2T1 962 21498255 Power N31^2+1 963 22505595 Add a factor 1024 22931472 Power 32^2 1025 23950302 Add a factor 1026 24969132 Add a factor 1027 25996902 Add a factor 1028 26078209 Martirosyan-Tran van Trung 1032 26664589 Martirosyan-Tran van Trung 1036 27280807 Martirosyan-Tran van Trung 1040 27666937 Martirosyan-Tran van Trung 1048 27826731 Martirosyan-Tran van Trung 1056 27843021 Martirosyan-Tran van Trung 1064 27885066 Martirosyan-Tran van Trung 1072 27897555 Martirosyan-Tran van Trung 1080 27933323 Martirosyan-Tran van Trung 1088 27965698 Martirosyan-Tran van Trung 1096 28145152 Martirosyan-Tran van Trung 1104 28160899 Martirosyan-Tran van Trung 1106 28179103 Martirosyan-Tran van Trung 1112 28216087 Martirosyan-Tran van Trung 1120 28594893 Martirosyan-Tran van Trung 1128 28700137 Martirosyan-Tran van Trung 1136 28713712 Martirosyan-Tran van Trung 1144 28735815 Martirosyan-Tran van Trung 1152 28749933 Martirosyan-Tran van Trung 1156 29064829 Martirosyan-Tran van Trung 1162 29274885 Power N37^2S6 1194 29516205 Power N37^2S5 1227 29757525 Power N37^2S4 1261 29998845 Power N37^2S3 1296 30240165 Power N37^2T1T1 1332 30481485 Power N37^2T1 1369 30722805 Power N37^2 1381 31353368 Power N41^2S8 1415 31571267 Power N41^2S7 1450 31789166 Power N41^2S6 1486 32007065 Power N41^2S5 1523 32224964 Power N41^2S4 1561 32442863 Power N41^2S3 1600 32660762 Power N41^2T1T1 1640 32878661 Power N41^2T1 1682 33096560 Power N41^2+1 1683 33865690 Power N43^2S4 1720 33878530 Power N43^2T3 1723 33942603 Power N43^2S3 1764 34019516 Power N43^2T1T1 1806 34096429 Power N43^2T1 1850 34173342 Power N43^2+1 1851 35398542 Add a factor 1852 36623742 Add a factor 1856 36826599 Martirosyan-Tran van Trung 1860 36837224 Martirosyan-Tran van Trung 1862 36856396 Martirosyan-Tran van Trung 1872 36862606 Martirosyan-Tran van Trung 1880 36905320 Power N47^2T7 1888 36939508 Martirosyan-Tran van Trung 1936 36967302 Power N47^2T3T3 1939 37075959 Power N47^2T3S3 1981 37117350 Power N47^2T3S2 2024 37158741 Power N47^2T3T1 2068 37200132 Power N47^2T3 2071 37308789 Power N47^2S3 2116 37350180 Power N47^2T1T1 2162 37391571 Power N47^2T1 2210 37432962 Power N47^2+1 2211 38715702 Add a factor 2212 39998442 Add a factor 2238 40927014 Power N53^2S12 2281 41018344 Power N53^2S11 2324 41109674 Power N53^2S10 2368 41201004 Power N53^2S9 2413 41292334 Power N53^2S8 2459 41383664 Power N53^2S7 2506 41474994 Power N53^2S6 2554 41566324 Power N53^2S5 2603 41657654 Power N53^2S4 2653 41748984 Power N53^2S3 2880 41818740 Power 32^3T23T22 3200 41842567 Power 32^3T22T22 3520 41888401 Power 32^3T22T21 3872 41934235 Power 32^3T21T21 4032 42022291 Power 32^3T23T18 4224 42031345 Power 32^3T21T20 4480 42046118 Power 32^3T22T18 4608 42089352 Power 32^3T23T16 4928 42091952 Power 32^3T21T18 5120 42113179 Power 32^3T22T16 5632 42159013 Power 32^3T21T16 6272 42249669 Power 32^3T18T18 7168 42316730 Power 32^3T18T16 8192 42383791 Power 32^3T16T16 8704 42527581 Power 32^3T16T15 9216 42585514 Power 32^3T16T14 9248 42671371 Power 32^3T15T15 10000 42709202 Power 32^3T16T12

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