Table for CAN(6,k,6) for k up to 10000

Last Updated Fri Sep 20 11:45:18 MST 2013

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 80679 MIPOG (Younis) postop NCK 9 106864 MIPOG (Younis) postop NCK 10 131745 MIPOG (Younis) postop NCK 11 170982 composition 12 267222 Add 1 factors 13 337962 Add 2 factors 14 339241 Martirosyan-Tran van Trung 16 397399 Martirosyan-Tran van Trung 17 521359 Add 1 factors 18 600251 Martirosyan-Tran van Trung 20 704602 Martirosyan-Tran van Trung 21 867262 Add 1 factors 22 883443 Martirosyan-Tran van Trung 23 1024879 Add 7 factors 24 1035710 Martirosyan-Tran van Trung 26 1171753 Martirosyan-Tran van Trung 28 1209860 Martirosyan-Tran van Trung 30 1294236 Martirosyan-Tran van Trung 32 1313751 Martirosyan-Tran van Trung 33 1526511 Add 1 factors 34 1557716 Martirosyan-Tran van Trung 36 1656255 Martirosyan-Tran van Trung 37 1881435 Add 1 factors 38 1936514 Martirosyan-Tran van Trung 40 1985466 Martirosyan-Tran van Trung 42 2197936 Martirosyan-Tran van Trung 44 2240679 Martirosyan-Tran van Trung 46 2434125 Martirosyan-Tran van Trung 48 2479016 Martirosyan-Tran van Trung 50 2653879 Martirosyan-Tran van Trung 52 2695483 Martirosyan-Tran van Trung 54 2772997 Martirosyan-Tran van Trung 56 2793465 Martirosyan-Tran van Trung 58 2916003 Martirosyan-Tran van Trung 60 2937260 Martirosyan-Tran van Trung 62 2993652 Martirosyan-Tran van Trung 64 3013977 Martirosyan-Tran van Trung 66 3263137 Martirosyan-Tran van Trung 68 3311947 Martirosyan-Tran van Trung 70 3428838 Martirosyan-Tran van Trung 72 3464042 Martirosyan-Tran van Trung 74 3708375 Martirosyan-Tran van Trung 76 3797227 Martirosyan-Tran van Trung 78 3863519 Martirosyan-Tran van Trung 80 3880714 Martirosyan-Tran van Trung 82 4128269 Martirosyan-Tran van Trung 84 4145474 Martirosyan-Tran van Trung 86 4219195 Martirosyan-Tran van Trung 88 4237395 Martirosyan-Tran van Trung 90 4447126 Martirosyan-Tran van Trung 92 4461506 Martirosyan-Tran van Trung 94 4611697 Martirosyan-Tran van Trung 96 4691797 Martirosyan-Tran van Trung 98 4973760 Martirosyan-Tran van Trung 100 5023190 Martirosyan-Tran van Trung 102 5105264 Martirosyan-Tran van Trung 104 5116064 Martirosyan-Tran van Trung 106 5232331 Martirosyan-Tran van Trung 108 5242363 Martirosyan-Tran van Trung 110 5281343 Martirosyan-Tran van Trung 112 5293199 Martirosyan-Tran van Trung 114 5431261 Martirosyan-Tran van Trung 116 5444029 Martirosyan-Tran van Trung 120 5492813 Martirosyan-Tran van Trung 124 5631076 Martirosyan-Tran van Trung 126 5659306 Martirosyan-Tran van Trung 128 5679304 Martirosyan-Tran van Trung 130 5997870 Martirosyan-Tran van Trung 132 6001774 Power CT16^2T5T4 136 6015635 Power CT16^2TD(2):2,2,5 140 6034556 Power CT16^2T6T2 144 6067833 Power CT16^2T7 154 6073793 Power CT16^2T5T2 160 6092714 Power CT16^2T6 176 6131951 Power CT16^2T5 192 6228191 Power CT16^2T4 196 6242052 Power CT16^2T2T2 208 6298931 Power CT16^2T3 224 6300210 Power CT16^2T2 256 6358368 Power CT16^2 257 6835008 Add 1 factors 258 7054968 Add 2 factors 259 7485102 Add 3 factors 260 7687458 Add 4 factors 261 7717307 Add 5 factors 263 7788300 Add 7 factors 272 8217768 Power CT17^2T1 289 8341728 Power CT17^2 290 8818368 Add 1 factors 291 9052728 Add 2 factors 292 9492936 Add 3 factors 293 9696396 Add 4 factors 294 9726245 Add 5 factors 296 9797238 Add 7 factors 297 10273878 Add 7 factors 298 10508238 Add 7 factors 299 10948446 Add 7 factors 307 10960563 Power CT19^2Arc(3) 324 11064914 Power CT19^2T1T1 342 11169265 Power CT19^2T1 362 11273616 Power CT19^2+1 363 11750256 Add 1 factors 364 11991096 Add 2 factors 368 12338341 Martirosyan-Tran van Trung 370 12395881 Martirosyan-Tran van Trung 372 12396726 Martirosyan-Tran van Trung 376 12434372 Martirosyan-Tran van Trung 380 12444987 Martirosyan-Tran van Trung 384 12476763 Martirosyan-Tran van Trung 390 12491969 Martirosyan-Tran van Trung 392 12492449 Martirosyan-Tran van Trung 394 12550173 Martirosyan-Tran van Trung 396 12551018 Martirosyan-Tran van Trung 400 12590009 Martirosyan-Tran van Trung 408 12600674 Martirosyan-Tran van Trung 412 12611389 Martirosyan-Tran van Trung 416 12643165 Martirosyan-Tran van Trung 448 12658578 perfect hash family32,512,16T2 512 12716736 perfect hash family32,512,16 513 13193376 Add 1 factors 514 13449696 Add 2 factors 515 13909536 Add 3 factors 516 13986117 Martirosyan-Tran van Trung 517 14149469 Add 5 factors 519 14220462 Add 7 factors 520 14619307 Martirosyan-Tran van Trung 522 14649156 Martirosyan-Tran van Trung 524 14720254 Martirosyan-Tran van Trung 526 14724869 Martirosyan-Tran van Trung 528 15154337 Martirosyan-Tran van Trung 532 15169637 Martirosyan-Tran van Trung 536 15171557 Martirosyan-Tran van Trung 540 15186929 Martirosyan-Tran van Trung 544 15187899 Martirosyan-Tran van Trung 546 15327408 Martirosyan-Tran van Trung 548 15327898 Martirosyan-Tran van Trung 550 15359779 Martirosyan-Tran van Trung 552 15359884 Martirosyan-Tran van Trung 568 15381935 Martirosyan-Tran van Trung 570 15397523 Martirosyan-Tran van Trung 576 15398598 Martirosyan-Tran van Trung 578 15399088 Martirosyan-Tran van Trung 579 15875728 Add 1 factors 580 16135288 Add 2 factors 581 16600042 Add 3 factors 582 16813438 Add 4 factors 583 16843287 Add 5 factors 585 16914280 Add 7 factors 586 17390920 Add 7 factors 587 17650480 Add 7 factors 588 18039508 Martirosyan-Tran van Trung 604 18041403 Martirosyan-Tran van Trung 608 18073179 Martirosyan-Tran van Trung 612 18073774 Martirosyan-Tran van Trung 614 18073879 Martirosyan-Tran van Trung 632 18186435 Martirosyan-Tran van Trung 640 18217971 Martirosyan-Tran van Trung 644 18233847 Martirosyan-Tran van Trung 646 18265623 Martirosyan-Tran van Trung 648 18265728 Martirosyan-Tran van Trung 672 18378389 Martirosyan-Tran van Trung 680 18410165 Martirosyan-Tran van Trung 684 18426113 Martirosyan-Tran van Trung 712 18538774 Martirosyan-Tran van Trung 722 18554794 Martirosyan-Tran van Trung 724 18629794 Martirosyan-Tran van Trung 731 19076021 Power N-CT29^2Arc(4) 757 19160397 Power N-CT29^2Arc(3) 784 19244773 Power N-CT29^2T1T1 812 19329149 Power N-CT29^2T1 842 19413525 Power N-CT29^2+1 868 19602359 Power N-CT31^2T3 871 19647705 Power N-CT31^2Arc(3) 900 19667220 Power N-CT31^2T1T1 930 19686735 Power N-CT31^2T1 962 19706250 Power N-CT31^2+1 963 20182890 Add 1 factors 964 20483130 Add 2 factors 966 20607344 Martirosyan-Tran van Trung 968 20608034 Martirosyan-Tran van Trung 1012 20614754 Martirosyan-Tran van Trung 1024 20621474 Martirosyan-Tran van Trung 1025 21098114 Add 1 factors 1026 21129890 Martirosyan-Tran van Trung 1028 21386210 Martirosyan-Tran van Trung 1030 21846050 Martirosyan-Tran van Trung 1032 21922631 Martirosyan-Tran van Trung 1034 22085983 Martirosyan-Tran van Trung 1038 22156976 Martirosyan-Tran van Trung 1040 22555821 Martirosyan-Tran van Trung 1044 22608518 Martirosyan-Tran van Trung 1048 22679616 Martirosyan-Tran van Trung 1052 22716007 Martirosyan-Tran van Trung 1056 23145475 Martirosyan-Tran van Trung 1058 23180872 Martirosyan-Tran van Trung 1060 23244472 Martirosyan-Tran van Trung 1062 23308072 Martirosyan-Tran van Trung 1064 23523922 Martirosyan-Tran van Trung 1072 23535077 Martirosyan-Tran van Trung 1080 23559092 Martirosyan-Tran van Trung 1088 23560062 Martirosyan-Tran van Trung 1092 23699571 Martirosyan-Tran van Trung 1096 23700061 Martirosyan-Tran van Trung 1100 23731942 Martirosyan-Tran van Trung 1104 23732407 Martirosyan-Tran van Trung 1106 23754458 Martirosyan-Tran van Trung 1108 23760818 Martirosyan-Tran van Trung 1136 23792594 Martirosyan-Tran van Trung 1140 23808182 Martirosyan-Tran van Trung 1152 23809257 Martirosyan-Tran van Trung 1156 23816107 Martirosyan-Tran van Trung 1157 24292747 Add 1 factors 1158 24620707 Add 2 factors 1160 25078484 Martirosyan-Tran van Trung 1161 25398780 Add 5 factors 1163 25469773 Add 7 factors 1164 25555229 Martirosyan-Tran van Trung 1168 25797199 Martirosyan-Tran van Trung 1172 26253067 Martirosyan-Tran van Trung 1176 26456527 Martirosyan-Tran van Trung 1200 26458422 Martirosyan-Tran van Trung 1208 26496558 Martirosyan-Tran van Trung 1216 26528334 Martirosyan-Tran van Trung 1224 26528929 Martirosyan-Tran van Trung 1228 26529034 Martirosyan-Tran van Trung 1248 26641590 Martirosyan-Tran van Trung 1250 26749026 Martirosyan-Tran van Trung 1252 26861546 Martirosyan-Tran van Trung 1254 26861636 Martirosyan-Tran van Trung 1256 26861811 Martirosyan-Tran van Trung 1258 26862126 Martirosyan-Tran van Trung 1262 26862306 Martirosyan-Tran van Trung 1264 26865626 Martirosyan-Tran van Trung 1276 26928938 Martirosyan-Tran van Trung 1280 26929968 Martirosyan-Tran van Trung 1288 27051645 Martirosyan-Tran van Trung 1292 27084001 Martirosyan-Tran van Trung 1296 27084106 Martirosyan-Tran van Trung 1298 27196857 Martirosyan-Tran van Trung 1300 27197032 Martirosyan-Tran van Trung 1304 27197437 Martirosyan-Tran van Trung 1306 27197527 Martirosyan-Tran van Trung 1312 27201877 Martirosyan-Tran van Trung 1334 27233653 Martirosyan-Tran van Trung 1344 27234323 Martirosyan-Tran van Trung 1350 27266679 Martirosyan-Tran van Trung 1352 27266769 Martirosyan-Tran van Trung 1360 27271789 Martirosyan-Tran van Trung 1368 27287737 Martirosyan-Tran van Trung 1372 27400398 Martirosyan-Tran van Trung 1392 27432174 Martirosyan-Tran van Trung 1400 27432844 Martirosyan-Tran van Trung 1424 27438534 Martirosyan-Tran van Trung 1444 27454554 Martirosyan-Tran van Trung 1448 27529554 Martirosyan-Tran van Trung 1450 27975781 Martirosyan-Tran van Trung 1456 27994811 Martirosyan-Tran van Trung 1458 28028093 Martirosyan-Tran van Trung 1460 28028183 Martirosyan-Tran van Trung 1462 28028273 Martirosyan-Tran van Trung 1508 28149620 Martirosyan-Tran van Trung 1512 28150025 Martirosyan-Tran van Trung 1514 28150115 Martirosyan-Tran van Trung 1528 28240091 Martirosyan-Tran van Trung 1566 28271867 Martirosyan-Tran van Trung 1568 28271957 Martirosyan-Tran van Trung 1624 28362023 Martirosyan-Tran van Trung 1664 28452089 Martirosyan-Tran van Trung 1665 28928729 Add 1 factors 1676 28935722 Martirosyan-Tran van Trung 1682 28967498 Martirosyan-Tran van Trung 1684 29022748 Martirosyan-Tran van Trung 1736 29220502 Martirosyan-Tran van Trung 1742 29289095 Martirosyan-Tran van Trung 1762 29308610 Martirosyan-Tran van Trung 1792 29340386 Martirosyan-Tran van Trung 1800 29353714 Martirosyan-Tran van Trung 1810 29373229 Martirosyan-Tran van Trung 1860 29405005 Martirosyan-Tran van Trung 1924 29424520 Martirosyan-Tran van Trung 1926 29901160 Martirosyan-Tran van Trung 1928 30201400 Martirosyan-Tran van Trung 1932 30357390 Martirosyan-Tran van Trung 1936 30358080 Martirosyan-Tran van Trung 1984 30364800 Martirosyan-Tran van Trung 2024 30388201 Martirosyan-Tran van Trung 2048 30394921 Martirosyan-Tran van Trung 2049 30871561 Add 1 factors 2052 31004737 Martirosyan-Tran van Trung 2056 31261057 Martirosyan-Tran van Trung 2060 31720897 Martirosyan-Tran van Trung 2064 31797478 Martirosyan-Tran van Trung 2068 31960830 Martirosyan-Tran van Trung 2076 32031823 Martirosyan-Tran van Trung 2080 32430668 Martirosyan-Tran van Trung 2088 32856061 Martirosyan-Tran van Trung 2096 32927159 Martirosyan-Tran van Trung 2104 32963550 Martirosyan-Tran van Trung 2112 33393018 Martirosyan-Tran van Trung 2116 33428415 Martirosyan-Tran van Trung 2120 33492015 Martirosyan-Tran van Trung 2124 33555615 Martirosyan-Tran van Trung 2128 33771465 Martirosyan-Tran van Trung 2144 33811660 Martirosyan-Tran van Trung 2160 33835675 Martirosyan-Tran van Trung 2176 33836645 Martirosyan-Tran van Trung 2184 33987077 Martirosyan-Tran van Trung 2192 33987567 Martirosyan-Tran van Trung 2200 34019448 Martirosyan-Tran van Trung 2208 34019913 Martirosyan-Tran van Trung 2212 34041964 Martirosyan-Tran van Trung 2216 34048324 Martirosyan-Tran van Trung 2242 34080100 Martirosyan-Tran van Trung 2272 34111876 Martirosyan-Tran van Trung 2280 34127464 Martirosyan-Tran van Trung 2304 34128539 Martirosyan-Tran van Trung 2312 34135389 Martirosyan-Tran van Trung 2313 34612029 Add 1 factors 2314 35000469 Add 2 factors 2318 35397766 Martirosyan-Tran van Trung 2320 35429542 Martirosyan-Tran van Trung 2321 35906182 Add 1 factors 2328 35906287 Martirosyan-Tran van Trung 2336 36148257 Martirosyan-Tran van Trung 2344 36604125 Martirosyan-Tran van Trung 2352 36807585 Martirosyan-Tran van Trung 2400 36809480 Martirosyan-Tran van Trung 2416 36847616 Martirosyan-Tran van Trung 2432 36879392 Martirosyan-Tran van Trung 2448 36956952 Martirosyan-Tran van Trung 2456 36957057 Martirosyan-Tran van Trung 2458 37069613 Martirosyan-Tran van Trung 2480 37101389 Martirosyan-Tran van Trung 2496 37130941 Martirosyan-Tran van Trung 2500 37238377 Martirosyan-Tran van Trung 2504 37350897 Martirosyan-Tran van Trung 2508 37350987 Martirosyan-Tran van Trung 2512 37351162 Martirosyan-Tran van Trung 2516 37351477 Martirosyan-Tran van Trung 2524 37351657 Martirosyan-Tran van Trung 2528 37354977 Martirosyan-Tran van Trung 2552 37418289 Martirosyan-Tran van Trung 2560 37419319 Martirosyan-Tran van Trung 2576 37660484 Martirosyan-Tran van Trung 2584 37692840 Martirosyan-Tran van Trung 2592 37692945 Martirosyan-Tran van Trung 2816 37750777 Power CT31^3T20T15T15 3072 37847017 Power CT31^3T19T15T15 3136 37860878 Power CT31^3T17T17T15 3328 37917757 Power CT31^3T18T15T15 3584 37919036 Power CT31^3T17T15T15 4096 37977194 Power CT31^3T15T15T15 4352 38101154 Power CT31^3T15T15T14 4608 38180046 Power CT31^3T15T15T13 4624 38225114 Power CT31^3T15T14T14 5120 38284397 Power CT31^3T15T15T11 5184 38382898 Power CT31^3T15T13T13 5440 38408357 Power CT31^3T15T14T11 5632 38463238 Power CT31^3T15T15T9 5760 38487249 Power CT31^3T15T13T11 5780 38532317 Power CT31^3T14T14T11 5832 38585750 Power CT31^3T13T13T13 5984 38587198 Power CT31^3T15T14T9 6400 38591600 Power CT31^3T15T11T11 6480 38690101 Power CT31^3T13T13T11 6800 38715560 Power CT31^3T14T11T11 7040 38770441 Power CT31^3T15T11T9 7168 38789655 Power CT31^3T15T15T3 7200 38794452 Power CT31^3T13T11T11 7680 38874031 Power CT31^3T15T15T1 8192 38893546 Power CT32^3T16T16 8704 39017506 Power CT32^3T16T15 8800 39077644 Power CT31^3T11T11T9 9216 39096398 Power CT32^3T16T14 9248 39141466 Power CT32^3T15T15 9600 39181234 Power CT31^3T15T11T1 10000 39200749 Power CT32^3T16T12

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