Table for CAN(6,k,5) 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,5) 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 15625 orthogonal array 8 25000 Xu-Ji-Dong 9 35696 Density Mult Cyclic (Colbourn) postop NCK 10 43461 Density Mult Cyclic (Colbourn) postop NCK 11 50872 Density Mult Cyclic (Colbourn) postop NCK 12 57872 Density Mult Cyclic (Colbourn) postop NCK 13 64152 Density Mult Cyclic (Colbourn) postop NCK 14 69944 Density Mult Cyclic (Colbourn) postop NCK 15 75526 Density Mult Cyclic (Colbourn) postop NCK 16 80537 Density Mult Cyclic (Colbourn) postop NCK 17 85405 Density Mult Cyclic (Colbourn) 18 97605 IPOG-F (NIST) 19 102208 IPOG-F (NIST) 20 106642 IPOG-F (NIST) 21 110842 IPOG-F (NIST) 22 114775 IPOG-F (NIST) 23 118587 IPOG-F (NIST) 24 122201 IPOG-F (NIST) 25 125683 IPOG-F (NIST) 26 162983 Add 1 factors 30 184245 paintball (Kuhn) 31 233945 Add 1 factors 32 258845 Add 2 factors 33 281345 Add 3 factors 34 293845 Add 4 factors 35 306345 Add 5 factors 36 356045 Add 5 factors 38 376113 Martirosyan-Tran van Trung 40 383211 Martirosyan-Tran van Trung 42 389571 Martirosyan-Tran van Trung 44 414342 Martirosyan-Tran van Trung 46 420402 Martirosyan-Tran van Trung 48 426256 Martirosyan-Tran van Trung 49 488356 Add 1 factors 50 489434 Martirosyan-Tran van Trung 52 528734 Martirosyan-Tran van Trung 54 551836 Martirosyan-Tran van Trung 56 553676 Martirosyan-Tran van Trung 58 555436 Martirosyan-Tran van Trung 60 557036 Martirosyan-Tran van Trung 62 608416 Martirosyan-Tran van Trung 63 670516 Add 1 factors 64 694636 Martirosyan-Tran van Trung 65 715036 Add 5 factors 66 730000 Martirosyan-Tran van Trung 68 750664 Martirosyan-Tran van Trung 70 764624 Martirosyan-Tran van Trung 72 820798 Martirosyan-Tran van Trung 74 852222 Martirosyan-Tran van Trung 76 913134 Martirosyan-Tran van Trung 78 927766 Martirosyan-Tran van Trung 80 929094 Martirosyan-Tran van Trung 82 936718 Martirosyan-Tran van Trung 84 937986 Martirosyan-Tran van Trung 86 963965 Martirosyan-Tran van Trung 88 971363 Martirosyan-Tran van Trung 90 978579 Martirosyan-Tran van Trung 92 985901 Martirosyan-Tran van Trung 94 992891 Martirosyan-Tran van Trung 96 1006383 Martirosyan-Tran van Trung 97 1103283 Add 1 factors 112 1112703 Power CT16^2Arc(18):9 twos,0 ones 113 1123867 Power CT16^2Arc(18):7 twos,2 ones 114 1128878 Power CT16^2Arc(16):7 twos,1 ones 115 1129449 Power CT16^2Arc(18):6 twos,3 ones 121 1132875 Power CT16^2Arc(15) 123 1137886 Power CT16^2Arc(14) 126 1142897 Power CT16^2Arc(13) 127 1146195 Power CT16^2Arc(18):3 twos,6 ones 130 1147908 Power CT16^2Arc(12) 131 1150635 Power CT16^2Arc(14):4 twos,3 ones 132 1151206 Power CT16^2Arc(16):3 twos,5 ones 133 1151777 Power CT16^2Arc(18):2 twos,7 ones 135 1152919 Power CT16^2Arc(11) 136 1155075 Power CT16^2TD(4):2,2,2,2,2 137 1155646 Power CT16^2Arc(12):4 twos,2 ones 138 1156217 Power CT16^2Arc(14):3 twos,4 ones 139 1156788 Power CT16^2Arc(16):2 twos,6 ones 140 1157359 Power CT16^2Arc(18):1 twos,8 ones 141 1157930 Power CT16^2Arc(10) 142 1159876 Power CT16^2TD(4):3,2,2,2,0 143 1160447 Power CT16^2TD(4):3,2,2,1,1 144 1160657 Power CT16^2TD(4):2,2,2,2,1 145 1161228 Power CT16^2Arc(12):3 twos,3 ones 146 1161799 Power CT16^2Arc(14):2 twos,5 ones 147 1162370 Power CT16^2Arc(16):1 twos,7 ones 148 1162941 Power CT16^2Arc(9) 149 1164677 Power CT16^2TD(4):2,3,3 150 1165248 Power CT16^2TD(4):3,3,1,1,0 151 1165458 Power CT16^2TD(4):3,2,2,1,0 152 1165668 Power CT16^2TD(4):2,2,2,2,0 153 1166239 Power CT16^2TD(4):2,2,2,1,1 154 1166810 Power CT16^2Arc(12):2 twos,4 ones 155 1167381 Power CT16^2Arc(14):1 twos,6 ones 156 1167952 Power CT16^2Arc(8) 158 1169771 Power CT16^2TD(2):1,2,4 159 1170259 Power CT16^2TD(4):1,3,3 160 1170469 Power CT16^2TD(2):2,2,3 161 1171040 Power CT16^2TD(4):3,2,1,1,0 162 1171250 Power CT16^2TD(4):2,2,2,1,0 163 1171821 Power CT16^2TD(4):2,2,1,1,1 164 1172392 Power CT16^2Arc(5)T2 165 1172963 Power CT16^2Arc(7) 168 1174782 Power CT16^2T4T2 169 1175270 Power CT16^2T3T3 171 1176051 Power CT16^2TD(2):1,2,3 172 1176261 Power CT16^2TD(2):2,2,2 173 1176832 Power CT16^2TD(4):2,2,1,1,0 174 1177403 Power CT16^2Arc(4)T2 175 1177974 Power CT16^2Arc(6) 176 1178375 Power CT16^2T5 180 1180364 Power CT16^2T4T1 182 1181062 Power CT16^2T3T2 183 1181633 Power CT16^2Arc(2)T3 184 1181843 Power CT16^2TD(2):1,2,2 185 1182414 Power CT16^2Arc(3)T2 186 1182985 Power CT16^2Arc(5) 192 1185375 Power CT16^2T4 195 1186644 Power CT16^2T3T1 196 1186854 Power CT16^2T2T2 197 1187425 Power CT16^2Arc(2)T2 198 1187996 Power CT16^2Arc(4) 208 1191655 Power CT16^2T3 210 1192436 Power CT16^2T2T1 211 1193007 Power CT16^2Arc(3) 224 1197447 Power CT16^2T2 225 1198018 Power CT16^2T1T1 240 1203029 Power CT16^2T1 256 1208040 Power CT16^2 272 1276192 Power CT17^2T1 289 1281060 Power CT17^2 290 1432160 Add 1 factors 291 1503560 Add 2 factors 304 1511434 Power CT19^2T3 306 1511699 Power CT19^2T2T1 323 1516302 Power CT19^2T2 324 1523899 Power CT19^2T1T1 342 1528502 Power CT19^2T1 361 1533105 Power CT19^2 362 1599615 Power CT19^2+1 363 1662615 Power CT19^2+2 364 1721610 Power CT19^2+3 368 1740740 Power CT23^2T7 374 1741796 Power CT23^2T6T1 391 1745608 Power CT23^2T6 396 1753996 Power CT23^2T5T1 399 1754666 Power CT23^2T4T2 400 1754787 Power CT23^2Arc(2)T4 402 1755288 Power CT23^2Arc(6):1 twos,1 ones 3 ext 403 1755409 Power CT23^2Arc(3)T3 404 1755676 Power CT23^2Arc(8):2 twos,2 ones 405 1755797 Power CT23^2Arc(4)T2 406 1755918 Power CT23^2Arc(6) 414 1757808 Power CT23^2T5 418 1758599 Power CT23^2T4T1 420 1759100 Power CT23^2T3T2 421 1759221 Power CT23^2Arc(2)T3 422 1759488 Power CT23^2Arc(6):2 twos,1 ones 423 1759609 Power CT23^2Arc(3)T2 424 1759730 Power CT23^2Arc(5) 437 1762411 Power CT23^2T4 440 1763033 Power CT23^2T3T1 441 1763300 Power CT23^2T2T2 442 1763421 Power CT23^2Arc(2)T2 443 1763542 Power CT23^2Arc(4) 460 1766845 Power CT23^2T3 462 1767233 Power CT23^2T2T1 463 1767354 Power CT23^2Arc(3) 483 1771045 Power CT23^2T2 484 1771166 Power CT23^2T1T1 506 1774978 Power CT23^2T1 529 1778790 Power CT23^2 530 1833000 Power CT23^2+1 531 1871302 Power CT25^2Arc(4) 550 1874322 Power CT25^2T3 552 1874652 Power CT25^2T2T1 553 1874784 Power CT25^2Arc(3) 575 1878134 Power CT25^2T2 576 1878266 Power CT25^2T1T1 600 1881748 Power CT25^2T1 625 1885230 Power CT25^2 626 2036330 Add 1 factors 627 2117730 Add 2 factors 628 2157730 Add 3 factors 629 2170230 Add 4 factors 630 2182730 Add 5 factors 631 2333830 Add 5 factors 632 2415230 Add 5 factors 633 2455230 Add 5 factors 634 2467730 Add 5 factors 635 2480230 Add 5 factors 636 2631330 Add 5 factors 650 2683836 Power CT27^2T2T1 667 2698002 Power CT29^2T6 696 2701616 Power CT29^2T5 725 2705098 Power CT29^2T4 754 2742398 Power CT29^2T3 842 2763660 Power CT29^2+1 843 2914760 Add 1 factors 844 3003960 Add 2 factors 845 3045960 Add 3 factors 846 3058460 Add 4 factors 847 3070960 Add 5 factors 848 3222060 Add 5 factors 849 3311260 Add 5 factors 850 3353260 Add 5 factors 871 3360060 Power CT31^2Arc(3) 900 3409760 Power CT31^2T1T1 930 3459460 Power CT31^2T1 961 3509160 Power CT31^2 962 3660260 Add 1 factors 963 3753060 Add 2 factors 964 3795560 Add 3 factors 965 3808060 Add 4 factors 966 3820560 Add 5 factors 992 3857760 Power CT32^2T1 1024 3882660 Power CT32^2 1025 4033760 Add 1 factors 1026 4132760 Add 2 factors 1027 4175260 Add 3 factors 1028 4187760 Add 4 factors 1029 4200260 Add 5 factors 1050 4351050 Martirosyan-Tran van Trung 1058 4383050 Martirosyan-Tran van Trung 1060 4459660 Martirosyan-Tran van Trung 1062 4517162 Martirosyan-Tran van Trung 1064 4540182 Martirosyan-Tran van Trung 1068 4571694 Martirosyan-Tran van Trung 1076 4571934 Martirosyan-Tran van Trung 1082 4572262 Martirosyan-Tran van Trung 1088 4572422 Martirosyan-Tran van Trung 1098 4572902 Martirosyan-Tran van Trung 1100 4573062 Martirosyan-Tran van Trung 1104 4573632 Martirosyan-Tran van Trung 1106 4573764 Martirosyan-Tran van Trung 1108 4577346 Martirosyan-Tran van Trung 1112 4577506 Martirosyan-Tran van Trung 1116 4577754 Martirosyan-Tran van Trung 1124 4577994 Martirosyan-Tran van Trung 1134 4578474 Martirosyan-Tran van Trung 1142 4578634 Martirosyan-Tran van Trung 1144 4578874 Martirosyan-Tran van Trung 1148 4578954 Martirosyan-Tran van Trung 1150 4579266 Martirosyan-Tran van Trung 1152 4579726 Martirosyan-Tran van Trung 1158 4589704 Martirosyan-Tran van Trung 1162 4589864 Martirosyan-Tran van Trung 1166 4590024 Martirosyan-Tran van Trung 1168 4590184 Martirosyan-Tran van Trung 1172 4590344 Martirosyan-Tran van Trung 1180 4590504 Martirosyan-Tran van Trung 1186 4590744 Martirosyan-Tran van Trung 1188 4590824 Martirosyan-Tran van Trung 1192 4590904 Martirosyan-Tran van Trung 1196 4591464 Martirosyan-Tran van Trung 1200 4591544 Martirosyan-Tran van Trung 1202 4595106 Martirosyan-Tran van Trung 1208 4595346 Martirosyan-Tran van Trung 1212 4595506 Martirosyan-Tran van Trung 1214 4595666 Martirosyan-Tran van Trung 1220 4595746 Martirosyan-Tran van Trung 1226 4595986 Martirosyan-Tran van Trung 1230 4596066 Martirosyan-Tran van Trung 1232 4596146 Martirosyan-Tran van Trung 1242 4596786 Martirosyan-Tran van Trung 1244 4596866 Martirosyan-Tran van Trung 1250 4597106 Martirosyan-Tran van Trung 1251 4748206 Add 1 factors 1252 4748366 Martirosyan-Tran van Trung 1254 4829846 Martirosyan-Tran van Trung 1256 4869846 Martirosyan-Tran van Trung 1258 4882346 Martirosyan-Tran van Trung 1260 4895006 Martirosyan-Tran van Trung 1280 4939339 Power CT29^3T21T19T13 1287 4941061 Power CT29^3T20T18T16 1300 4941415 Power CT29^3T19T19T16 1320 4941739 Power CT29^3T21T18T14 1331 4942957 Power CT29^3T18T18T18 1344 4943157 Power CT29^3T21T17T15 1352 4943645 Power CT29^3T21T16T16 1360 4944207 Power CT29^3T21T19T12 1365 4945644 Power CT29^3T22T16T14 1372 4945854 Power CT29^3T22T15T15 1408 4946750 Power CT29^3T21T18T13 1440 4948739 Power CT29^3T21T17T14 1456 4949437 Power CT29^3T21T16T15 1470 4951436 Power CT29^3T22T15T14 1496 4951618 Power CT29^3T21T18T12 1500 4952789 Power CT29^3T19T19T14 1536 4953750 Power CT29^3T21T17T13 1540 4954618 Power CT29^3T19T18T15 1560 4955019 Power CT29^3T21T16T14 1568 4955229 Power CT29^3T21T15T15 1573 4956237 Power CT29^3T18T18T16 1584 4956957 Power CT29^3T18T17T17 1600 4957800 Power CT29^3T19T19T13 1632 4958618 Power CT29^3T21T17T12 1664 4960030 Power CT29^3T21T16T13 1680 4960811 Power CT29^3T21T15T14 1694 4962029 Power CT29^3T18T18T15 1700 4962668 Power CT29^3T19T19T12 1716 4963237 Power CT29^3T18T17T16 1728 4963957 Power CT29^3T17T17T17 1768 4964898 Power CT29^3T21T16T12 1792 4965822 Power CT29^3T21T15T13 1800 4966393 Power CT29^3T21T14T14 1815 4967611 Power CT29^3T18T18T14 1820 4967898 Power CT29^3T19T16T15 1848 4969029 Power CT29^3T18T17T15 1859 4969517 Power CT29^3T18T16T16 1870 4970079 Power CT29^3T19T18T12 1872 4970237 Power CT29^3T17T17T16 1904 4970690 Power CT29^3T21T15T12 1920 4971404 Power CT29^3T21T14T13 1936 4972622 Power CT29^3T18T18T13 1950 4973480 Power CT29^3T19T16T14 1960 4973690 Power CT29^3T19T15T15 1980 4974611 Power CT29^3T18T17T14 2002 4975309 Power CT29^3T18T16T15 2016 4976029 Power CT29^3T17T17T15 2040 4976272 Power CT29^3T21T14T12 2048 4976415 Power CT29^3T21T13T13 2057 4977490 Power CT29^3T18T18T12 2080 4978491 Power CT29^3T19T16T13 2100 4979272 Power CT29^3T19T15T14 2112 4979622 Power CT29^3T18T17T13 2145 4980891 Power CT29^3T18T16T14 2156 4981101 Power CT29^3T18T15T15 2176 4981283 Power CT29^3T21T13T12 2184 4982309 Power CT29^3T17T16T15 2197 4982797 Power CT29^3T16T16T16 2210 4983359 Power CT29^3T19T16T12 2240 4984283 Power CT29^3T19T15T13 2244 4984490 Power CT29^3T18T17T12 2250 4984854 Power CT29^3T19T14T14 2288 4985902 Power CT29^3T18T16T13 2312 4986151 Power CT29^3T21T12T12 2340 4987891 Power CT29^3T17T16T14 2352 4988101 Power CT29^3T17T15T15 2366 4988589 Power CT29^3T16T16T15 2380 4989151 Power CT29^3T19T15T12 2400 4989865 Power CT29^3T19T14T13 2431 4990770 Power CT29^3T18T16T12 2448 4991490 Power CT29^3T17T17T12 2464 4991694 Power CT29^3T18T15T13 2475 4992265 Power CT29^3T18T14T14 2496 4992902 Power CT29^3T17T16T13 2520 4993683 Power CT29^3T17T15T14 2535 4994171 Power CT29^3T16T16T14 2548 4994381 Power CT29^3T16T15T15 2550 4994733 Power CT29^3T19T14T12 2560 4994876 Power CT29^3T19T13T13 2618 4996562 Power CT29^3T18T15T12 2640 4997276 Power CT29^3T18T14T13 2652 4997770 Power CT29^3T17T16T12 2688 4998694 Power CT29^3T17T15T13 2704 4999182 Power CT29^3T16T16T13 2720 4999744 Power CT29^3T19T13T12 2730 4999963 Power CT29^3T16T15T14 2744 5000173 Power CT29^3T15T15T15 2805 5002144 Power CT29^3T18T14T12 2816 5002287 Power CT29^3T18T13T13 2856 5003562 Power CT29^3T17T15T12 2873 5004050 Power CT29^3T16T16T12 2880 5004276 Power CT29^3T17T14T13 2890 5004612 Power CT29^3T19T12T12 2912 5004974 Power CT29^3T16T15T13 2925 5005545 Power CT29^3T16T14T14 2940 5005755 Power CT29^3T15T15T14 2992 5007155 Power CT29^3T18T13T12 3060 5009144 Power CT29^3T17T14T12 3072 5009287 Power CT29^3T17T13T13 3094 5009842 Power CT29^3T16T15T12 3120 5010556 Power CT29^3T16T14T13 3136 5010766 Power CT29^3T15T15T13 3150 5011337 Power CT29^3T15T14T14 3179 5012023 Power CT29^3T18T12T12 3264 5014155 Power CT29^3T17T13T12 3315 5015424 Power CT29^3T16T14T12 3328 5015567 Power CT29^3T16T13T13 3332 5015634 Power CT29^3T15T15T12 3360 5016348 Power CT29^3T15T14T13 3375 5016919 Power CT29^3T14T14T14 3468 5019023 Power CT29^3T17T12T12 3536 5020435 Power CT29^3T16T13T12 3570 5021216 Power CT29^3T15T14T12 3584 5021359 Power CT29^3T15T13T13 3600 5021930 Power CT29^3T14T14T13 3757 5025303 Power CT29^3T16T12T12 3808 5026227 Power CT29^3T15T13T12 3825 5026798 Power CT29^3T14T14T12 3840 5026941 Power CT29^3T14T13T13 4046 5031095 Power CT29^3T15T12T12 4080 5031809 Power CT29^3T14T13T12 4096 5031952 Power CT29^3T13T13T13 4335 5036677 Power CT29^3T14T12T12 4352 5036820 Power CT29^3T13T13T12 4624 5041688 Power CT29^3T13T12T12 4913 5046556 Power CT29^3T12T12T12 4928 5055597 Power CT29^3T15T13T7 4950 5056168 Power CT29^3T14T14T7 4998 5056532 Power CT29^3T15T12T8 5040 5057246 Power CT29^3T14T13T8 5100 5057914 Power CT29^3T14T12T9 5120 5058057 Power CT29^3T13T13T9 5168 5058491 Power CT29^3T13T12T10 5202 5058756 Power CT29^3T12T12T11 5236 5060465 Power CT29^3T15T12T7 5280 5061179 Power CT29^3T14T13T7 5304 5062099 Power CT29^3T16T12T5 5355 5062114 Power CT29^3T14T12T8 5376 5062257 Power CT29^3T13T13T8 5440 5062925 Power CT29^3T13T12T9 5491 5063359 Power CT29^3T12T12T10 5520 5064991 Power CT29^3T14T13T6 5525 5065581 Power CT29^3T16T12T4 5610 5066047 Power CT29^3T14T12T7 5632 5066190 Power CT29^3T13T13T7 5712 5067125 Power CT29^3T13T12T8 5780 5067793 Power CT29^3T12T12T9 5865 5069859 Power CT29^3T14T12T6 5888 5070002 Power CT29^3T13T13T6 5984 5071058 Power CT29^3T13T12T7 6069 5071993 Power CT29^3T12T12T8 6120 5073473 Power CT29^3T14T12T5 6144 5073616 Power CT29^3T13T13T5 6256 5074870 Power CT29^3T13T12T6 6358 5075926 Power CT29^3T12T12T7 6375 5076955 Power CT29^3T14T12T4 6400 5077098 Power CT29^3T13T13T4 6528 5078484 Power CT29^3T13T12T5 6647 5079738 Power CT29^3T12T12T6 6800 5081966 Power CT29^3T13T12T4 6936 5083352 Power CT29^3T12T12T5 7225 5086834 Power CT29^3T12T12T4 7296 5095287 Power CT29^3T13T10T5 7344 5095552 Power CT29^3T12T11T5 7360 5096107 Power CT29^3T13T9T6 7392 5096495 Power CT29^3T13T8T7 7429 5096541 Power CT29^3T12T10T6 7480 5097163 Power CT29^3T12T9T7 7497 5097430 Power CT29^3T12T8T8 7500 5098192 Power CT29^3T14T9T4 7600 5098769 Power CT29^3T13T10T4 7650 5099034 Power CT29^3T12T11T4 7680 5099721 Power CT29^3T13T9T5 7752 5100155 Power CT29^3T12T10T5 7820 5100975 Power CT29^3T12T9T6 7854 5101363 Power CT29^3T12T8T7 7875 5102392 Power CT29^3T14T8T4 7920 5102843 Power CT29^3T14T7T5 7935 5103041 Power CT29^3T14T6T6 8000 5103203 Power CT29^3T13T9T4 8075 5103637 Power CT29^3T12T10T4 8096 5104240 Power CT29^3T13T7T6 8160 5104589 Power CT29^3T12T9T5 8211 5105175 Power CT29^3T12T8T6 8228 5105296 Power CT29^3T12T7T7 8250 5106325 Power CT29^3T14T7T4 8280 5106655 Power CT29^3T14T6T5 8400 5107403 Power CT29^3T13T8T4 8448 5107854 Power CT29^3T13T7T5 8464 5108052 Power CT29^3T13T6T6 8500 5108071 Power CT29^3T12T9T4 8568 5108789 Power CT29^3T12T8T5 8602 5109108 Power CT29^3T12T7T6 8625 5110137 Power CT29^3T14T6T4 8640 5110269 Power CT29^3T14T5T5 8800 5111336 Power CT29^3T13T7T4 8832 5111666 Power CT29^3T13T6T5 8925 5112271 Power CT29^3T12T8T4 8976 5112722 Power CT29^3T12T7T5 8993 5112920 Power CT29^3T12T6T6 9000 5113751 Power CT29^3T14T5T4 9200 5115148 Power CT29^3T13T6T4 9216 5115280 Power CT29^3T13T5T5 9350 5116204 Power CT29^3T12T7T4 9384 5116534 Power CT29^3T12T6T5 9600 5118762 Power CT29^3T13T5T4 9775 5120016 Power CT29^3T12T6T4 9792 5120148 Power CT29^3T12T5T5 10000 5122244 Power CT29^3T13T4T4

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