Table for CAN(6,k,5) for k up to 10000

Last Updated Fri Mar 27 17:29:25 MST 2015

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 35680 Density Mult Cyclic (Colbourn) postop NCK 10 43349 Density Mult Cyclic (Colbourn) postop NCK 11 50697 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 80508 Density Mult Cyclic (Colbourn) postop NCK 17 85405 Density Mult Cyclic (Colbourn) 18 94263 IPOGF postop FSGF (R-C+T-J) 19 98994 IPOGF postop FSGF (R-C+T-J) 20 103514 IPOGF postop FSGF (R-C+T-J) 21 107773 IPOGF postop FSGF (R-C+T-J) 22 111818 IPOGF postop FSGF (R-C+T-J) 23 115802 IPOGF postop FSGF (R-C+T-J) 24 119500 IPOGF postop FSGF (R-C+T-J) 25 123108 IPOGF postop FSGF (R-C+T-J) 26 160408 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 372843 Martirosyan-TVT 40 380039 Martirosyan-TVT 42 386462 Martirosyan-TVT 43 392723 Martirosyan-TVT variant 44 411373 Martirosyan-TVT 46 417581 Martirosyan-TVT 48 423555 Martirosyan-TVT 49 457963 Martirosyan-TVT variant 50 486859 Martirosyan-TVT 52 526159 Martirosyan-TVT 54 551836 Martirosyan-TVT 56 553676 Martirosyan-TVT 58 555436 Martirosyan-TVT 60 557036 Martirosyan-TVT 62 608416 Martirosyan-TVT 63 659736 Martirosyan-TVT variant 64 694636 Martirosyan-TVT 65 712536 Add 5 factors 66 730000 Martirosyan-TVT 68 748988 Martirosyan-TVT 70 762948 Martirosyan-TVT 71 814168 Martirosyan-TVT variant 72 819138 Martirosyan-TVT 73 837404 Martirosyan-TVT variant 74 847344 Martirosyan-TVT 75 878464 Martirosyan-TVT variant 76 908224 Martirosyan-TVT 77 916844 Martirosyan-TVT variant 78 923054 Martirosyan-TVT 80 924178 Martirosyan-TVT 82 931961 Martirosyan-TVT 84 933225 Martirosyan-TVT 86 940710 Martirosyan-TVT 87 960640 Martirosyan-TVT variant 88 966850 Martirosyan-TVT 90 974126 Martirosyan-TVT 91 975242 Martirosyan-TVT variant 92 981452 Martirosyan-TVT 94 988602 Martirosyan-TVT 95 989710 Martirosyan-TVT variant 96 1002130 Martirosyan-TVT 97 1051813 Martirosyan-TVT variant 98 1067569 Martirosyan-TVT 100 1097541 Martirosyan-TVT 112 1112529 Power CT16^2Arc(18):9 twos,0 ones 113 1123693 Power CT16^2Arc(18):7 twos,2 ones 114 1128675 Power CT16^2Arc(16):7 twos,1 ones 115 1129275 Power CT16^2Arc(18):6 twos,3 ones 121 1132875 Power CT16^2Arc(15) 123 1137857 Power CT16^2Arc(14) 126 1142839 Power CT16^2Arc(13) 127 1146021 Power CT16^2Arc(18):3 twos,6 ones 130 1147821 Power CT16^2Arc(12) 131 1150403 Power CT16^2Arc(14):4 twos,3 ones 132 1151003 Power CT16^2Arc(16):3 twos,5 ones 133 1151603 Power CT16^2Arc(18):2 twos,7 ones 135 1152803 Power CT16^2Arc(11) 136 1154785 Power CT16^2TD(4):2,2,2,2,2 137 1155385 Power CT16^2Arc(12):4 twos,2 ones 138 1155985 Power CT16^2Arc(14):3 twos,4 ones 139 1156585 Power CT16^2Arc(16):2 twos,6 ones 140 1157185 Power CT16^2Arc(18):1 twos,8 ones 141 1157785 Power CT16^2Arc(10) 142 1159557 Power CT16^2TD(4):3,2,2,2,0 143 1160157 Power CT16^2TD(4):3,2,2,1,1 144 1160367 Power CT16^2TD(4):2,2,2,2,1 145 1160967 Power CT16^2Arc(12):3 twos,3 ones 146 1161567 Power CT16^2Arc(14):2 twos,5 ones 147 1162167 Power CT16^2Arc(16):1 twos,7 ones 148 1162767 Power CT16^2Arc(9) 149 1164329 Power CT16^2TD(4):2,3,3 150 1164929 Power CT16^2TD(4):3,3,1,1,0 151 1165139 Power CT16^2TD(4):3,2,2,1,0 152 1165349 Power CT16^2TD(4):2,2,2,2,0 153 1165949 Power CT16^2TD(4):2,2,2,1,1 154 1166549 Power CT16^2Arc(12):2 twos,4 ones 155 1167149 Power CT16^2Arc(14):1 twos,6 ones 156 1167749 Power CT16^2Arc(8) 158 1169423 Power CT16^2TD(2):1,2,4 159 1169911 Power CT16^2TD(4):1,3,3 160 1170121 Power CT16^2TD(2):2,2,3 161 1170721 Power CT16^2TD(4):3,2,1,1,0 162 1170931 Power CT16^2TD(4):2,2,2,1,0 163 1171531 Power CT16^2TD(4):2,2,1,1,1 164 1172131 Power CT16^2Arc(5)T2 165 1172731 Power CT16^2Arc(7) 168 1174405 Power CT16^2T4T2 169 1174893 Power CT16^2T3T3 171 1175703 Power CT16^2TD(2):1,2,3 172 1175913 Power CT16^2TD(2):2,2,2 173 1176513 Power CT16^2TD(4):2,2,1,1,0 174 1177113 Power CT16^2Arc(4)T2 175 1177713 Power CT16^2Arc(6) 176 1177794 Power CT16^2T5 180 1179987 Power CT16^2T4T1 182 1180685 Power CT16^2T3T2 183 1181285 Power CT16^2Arc(2)T3 184 1181495 Power CT16^2TD(2):1,2,2 185 1182095 Power CT16^2Arc(3)T2 186 1182695 Power CT16^2Arc(5) 192 1184969 Power CT16^2T4 195 1186267 Power CT16^2T3T1 196 1186477 Power CT16^2T2T2 197 1187077 Power CT16^2Arc(2)T2 198 1187677 Power CT16^2Arc(4) 208 1191249 Power CT16^2T3 210 1192059 Power CT16^2T2T1 211 1192659 Power CT16^2Arc(3) 224 1197041 Power CT16^2T2 225 1197641 Power CT16^2T1T1 240 1202623 Power CT16^2T1 256 1207605 Power CT16^2 272 1276163 Power CT17^2T1 289 1281060 Power CT17^2 290 1413930 Power CT17^2+1 291 1465971 Power CT19^2Arc(4) 304 1466409 Power CT19^2T3 306 1466575 Power CT19^2T2T1 307 1470702 Power CT19^2Arc(3) 323 1471306 Power CT19^2T2 324 1475433 Power CT19^2T1T1 342 1480164 Power CT19^2T1 361 1484895 Power CT19^2 362 1552695 Power CT19^2+1 363 1616580 Power CT19^2+2 364 1677255 Power CT19^2+3 368 1701721 Power CT23^2T7 374 1702634 Power CT23^2T6T1 391 1706618 Power CT23^2T6 396 1711492 Power CT23^2T5T1 399 1712178 Power CT23^2T4T2 400 1712239 Power CT23^2Arc(2)T4 402 1712714 Power CT23^2Arc(6):1 twos,1 ones 3 ext 403 1712775 Power CT23^2Arc(3)T3 404 1712989 Power CT23^2Arc(8):2 twos,2 ones 405 1713050 Power CT23^2Arc(4)T2 406 1713111 Power CT23^2Arc(6) 414 1715476 Power CT23^2T5 418 1716223 Power CT23^2T4T1 420 1716698 Power CT23^2T3T2 421 1716759 Power CT23^2Arc(2)T3 422 1716973 Power CT23^2Arc(6):2 twos,1 ones 423 1717034 Power CT23^2Arc(3)T2 424 1717095 Power CT23^2Arc(5) 437 1720207 Power CT23^2T4 440 1720743 Power CT23^2T3T1 441 1720957 Power CT23^2T2T2 442 1721018 Power CT23^2Arc(2)T2 443 1721079 Power CT23^2Arc(4) 460 1724727 Power CT23^2T3 462 1725002 Power CT23^2T2T1 463 1725063 Power CT23^2Arc(3) 483 1728986 Power CT23^2T2 484 1729047 Power CT23^2T1T1 506 1733031 Power CT23^2T1 529 1737015 Power CT23^2 530 1792485 Power CT23^2+1 531 1832173 Power CT25^2Arc(4) 550 1835315 Power CT25^2T3 552 1835691 Power CT25^2T2T1 553 1835781 Power CT25^2Arc(3) 575 1839299 Power CT25^2T2 576 1839389 Power CT25^2T1T1 600 1842997 Power CT25^2T1 625 1846605 Power CT25^2 626 1997705 Add 1 factors 627 2079105 Add 2 factors 628 2119105 Add 3 factors 629 2131605 Add 4 factors 630 2144105 Add 5 factors 631 2285338 Add 6 factors 632 2376605 Add 5 factors 633 2416605 Add 5 factors 634 2429105 Add 5 factors 635 2441605 Add 5 factors 636 2582838 Add 6 factors 637 2674105 Add 5 factors 650 2678686 Power CT27^2T2T1 651 2692149 Power CT27^2Arc(3) 667 2695217 Power CT29^2T6 696 2698915 Power CT29^2T5 725 2702523 Power CT29^2T4 754 2739823 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 3219211 Add 6 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 4281611 Martirosyan-TVT 1051 4297411 Martirosyan-TVT variant 1058 4313611 Martirosyan-TVT 1060 4419145 Martirosyan-TVT 1062 4478033 Martirosyan-TVT 1064 4501175 Martirosyan-TVT 1088 4525423 Martirosyan-TVT 1100 4531707 Martirosyan-TVT 1104 4532083 Martirosyan-TVT 1106 4532173 Martirosyan-TVT 1150 4535691 Martirosyan-TVT 1152 4535781 Martirosyan-TVT 1153 4542629 Martirosyan-TVT variant 1156 4545885 Martirosyan-TVT 1158 4550917 Martirosyan-TVT 1162 4551077 Martirosyan-TVT 1166 4551273 Martirosyan-TVT 1168 4551433 Martirosyan-TVT 1172 4551593 Martirosyan-TVT 1180 4551753 Martirosyan-TVT 1186 4551993 Martirosyan-TVT 1188 4552073 Martirosyan-TVT 1192 4552153 Martirosyan-TVT 1196 4552677 Martirosyan-TVT 1200 4552757 Martirosyan-TVT 1202 4556445 Martirosyan-TVT 1208 4556721 Martirosyan-TVT 1212 4556881 Martirosyan-TVT 1214 4557041 Martirosyan-TVT 1220 4557121 Martirosyan-TVT 1226 4557361 Martirosyan-TVT 1230 4557441 Martirosyan-TVT 1232 4557521 Martirosyan-TVT 1242 4558125 Martirosyan-TVT 1244 4558205 Martirosyan-TVT 1250 4558481 Martirosyan-TVT 1251 4709581 Add 1 factors 1252 4709741 Martirosyan-TVT 1254 4791221 Martirosyan-TVT 1256 4831221 Martirosyan-TVT 1258 4843721 Martirosyan-TVT 1260 4856381 Martirosyan-TVT 1280 4939198 Power CT29^3T21T19T13 1287 4940870 Power CT29^3T20T18T16 1300 4941191 Power CT29^3T19T19T16 1320 4941564 Power CT29^3T21T18T14 1331 4942432 Power CT29^3T18T18T18 1344 4943157 Power CT29^3T21T17T15 1352 4943645 Power CT29^3T21T16T16 1360 4944095 Power CT29^3T21T19T12 1365 4945644 Power CT29^3T22T16T14 1372 4945854 Power CT29^3T22T15T15 1408 4946546 Power CT29^3T21T18T13 1430 4948539 Power CT29^3T19T18T16 1440 4948739 Power CT29^3T21T17T14 1456 4949437 Power CT29^3T21T16T15 1470 4951436 Power CT29^3T22T15T14 1496 4951443 Power CT29^3T21T18T12 1500 4952565 Power CT29^3T19T19T14 1536 4953721 Power CT29^3T21T17T13 1540 4954331 Power CT29^3T19T18T15 1560 4955019 Power CT29^3T21T16T14 1568 4955229 Power CT29^3T21T15T15 1573 4955887 Power CT29^3T18T18T16 1584 4956782 Power CT29^3T18T17T17 1600 4957547 Power CT29^3T19T19T13 1632 4958618 Power CT29^3T21T17T12 1650 4959913 Power CT29^3T19T18T14 1664 4960001 Power CT29^3T21T16T13 1680 4960811 Power CT29^3T21T15T14 1694 4961679 Power CT29^3T18T18T15 1700 4962444 Power CT29^3T19T19T12 1716 4963062 Power CT29^3T18T17T16 1728 4963957 Power CT29^3T17T17T17 1760 4964895 Power CT29^3T19T18T13 1768 4964898 Power CT29^3T21T16T12 1792 4965793 Power CT29^3T21T15T13 1800 4966393 Power CT29^3T21T14T14 1815 4967261 Power CT29^3T18T18T14 1820 4967786 Power CT29^3T19T16T15 1848 4968854 Power CT29^3T18T17T15 1859 4969342 Power CT29^3T18T16T16 1870 4969792 Power CT29^3T19T18T12 1872 4970237 Power CT29^3T17T17T16 1904 4970690 Power CT29^3T21T15T12 1920 4971375 Power CT29^3T21T14T13 1936 4972243 Power CT29^3T18T18T13 1950 4973368 Power CT29^3T19T16T14 1960 4973578 Power CT29^3T19T15T15 1980 4974436 Power CT29^3T18T17T14 2002 4975134 Power CT29^3T18T16T15 2016 4976029 Power CT29^3T17T17T15 2040 4976272 Power CT29^3T21T14T12 2048 4976357 Power CT29^3T21T13T13 2057 4977140 Power CT29^3T18T18T12 2080 4978350 Power CT29^3T19T16T13 2100 4979160 Power CT29^3T19T15T14 2112 4979418 Power CT29^3T18T17T13 2145 4980716 Power CT29^3T18T16T14 2156 4980926 Power CT29^3T18T15T15 2176 4981254 Power CT29^3T21T13T12 2184 4982309 Power CT29^3T17T16T15 2197 4982797 Power CT29^3T16T16T16 2210 4983247 Power CT29^3T19T16T12 2240 4984142 Power CT29^3T19T15T13 2244 4984315 Power CT29^3T18T17T12 2250 4984742 Power CT29^3T19T14T14 2288 4985698 Power CT29^3T18T16T13 2312 4986151 Power CT29^3T21T12T12 2340 4987891 Power CT29^3T17T16T14 2352 4988101 Power CT29^3T17T15T15 2366 4988589 Power CT29^3T16T16T15 2380 4989039 Power CT29^3T19T15T12 2400 4989724 Power CT29^3T19T14T13 2431 4990595 Power CT29^3T18T16T12 2464 4991490 Power CT29^3T18T15T13 2475 4992090 Power CT29^3T18T14T14 2496 4992873 Power CT29^3T17T16T13 2520 4993683 Power CT29^3T17T15T14 2535 4994171 Power CT29^3T16T16T14 2548 4994381 Power CT29^3T16T15T15 2550 4994621 Power CT29^3T19T14T12 2560 4994706 Power CT29^3T19T13T13 2618 4996387 Power CT29^3T18T15T12 2640 4997072 Power CT29^3T18T14T13 2652 4997770 Power CT29^3T17T16T12 2688 4998665 Power CT29^3T17T15T13 2704 4999153 Power CT29^3T16T16T13 2720 4999603 Power CT29^3T19T13T12 2730 4999963 Power CT29^3T16T15T14 2744 5000173 Power CT29^3T15T15T15 2805 5001969 Power CT29^3T18T14T12 2816 5002054 Power CT29^3T18T13T13 2856 5003562 Power CT29^3T17T15T12 2873 5004050 Power CT29^3T16T16T12 2880 5004247 Power CT29^3T17T14T13 2890 5004500 Power CT29^3T19T12T12 2912 5004945 Power CT29^3T16T15T13 2925 5005545 Power CT29^3T16T14T14 2940 5005755 Power CT29^3T15T15T14 2992 5006951 Power CT29^3T18T13T12 3060 5009144 Power CT29^3T17T14T12 3072 5009229 Power CT29^3T17T13T13 3094 5009842 Power CT29^3T16T15T12 3120 5010527 Power CT29^3T16T14T13 3136 5010737 Power CT29^3T15T15T13 3150 5011337 Power CT29^3T15T14T14 3179 5011848 Power CT29^3T18T12T12 3264 5014126 Power CT29^3T17T13T12 3315 5015424 Power CT29^3T16T14T12 3328 5015509 Power CT29^3T16T13T13 3332 5015634 Power CT29^3T15T15T12 3360 5016319 Power CT29^3T15T14T13 3375 5016919 Power CT29^3T14T14T14 3468 5019023 Power CT29^3T17T12T12 3536 5020406 Power CT29^3T16T13T12 3570 5021216 Power CT29^3T15T14T12 3584 5021301 Power CT29^3T15T13T13 3600 5021901 Power CT29^3T14T14T13 3757 5025303 Power CT29^3T16T12T12 3808 5026198 Power CT29^3T15T13T12 3825 5026798 Power CT29^3T14T14T12 3840 5026883 Power CT29^3T14T13T13 4046 5031095 Power CT29^3T15T12T12 4080 5031780 Power CT29^3T14T13T12 4096 5031865 Power CT29^3T13T13T13 4335 5036677 Power CT29^3T14T12T12 4352 5036762 Power CT29^3T13T13T12 4624 5041659 Power CT29^3T13T12T12 4913 5046556 Power CT29^3T12T12T12 4928 5052611 Power CT29^3T15T13T7 4950 5053211 Power CT29^3T14T14T7 4998 5053463 Power CT29^3T15T12T8 5040 5054148 Power CT29^3T14T13T8 5100 5054786 Power CT29^3T14T12T9 5120 5054871 Power CT29^3T13T13T9 5168 5055248 Power CT29^3T13T12T10 5202 5055414 Power CT29^3T12T12T11 5236 5057508 Power CT29^3T15T12T7 5280 5058193 Power CT29^3T14T13T7 5355 5059045 Power CT29^3T14T12T8 5376 5059130 Power CT29^3T13T13T8 5440 5059768 Power CT29^3T13T12T9 5491 5060145 Power CT29^3T12T12T10 5520 5062177 Power CT29^3T14T13T6 5525 5063006 Power CT29^3T16T12T4 5610 5063090 Power CT29^3T14T12T7 5632 5063175 Power CT29^3T13T13T7 5712 5064027 Power CT29^3T13T12T8 5780 5064665 Power CT29^3T12T12T9 5865 5067074 Power CT29^3T14T12T6 5888 5067159 Power CT29^3T13T13T6 5984 5068072 Power CT29^3T13T12T7 6069 5068924 Power CT29^3T12T12T8 6120 5070772 Power CT29^3T14T12T5 6144 5070857 Power CT29^3T13T13T5 6256 5072056 Power CT29^3T13T12T6 6358 5072969 Power CT29^3T12T12T7 6375 5074380 Power CT29^3T14T12T4 6400 5074465 Power CT29^3T13T13T4 6528 5075754 Power CT29^3T13T12T5 6647 5076953 Power CT29^3T12T12T6 6800 5079362 Power CT29^3T13T12T4 6936 5080651 Power CT29^3T12T12T5 7225 5084259 Power CT29^3T12T12T4 7296 5089343 Power CT29^3T13T10T5 7344 5089509 Power CT29^3T12T11T5 7360 5090165 Power CT29^3T13T9T6 7392 5090440 Power CT29^3T13T8T7 7429 5090542 Power CT29^3T12T10T6 7480 5091078 Power CT29^3T12T9T7 7497 5091292 Power CT29^3T12T8T8 7500 5092489 Power CT29^3T14T9T4 7600 5092951 Power CT29^3T13T10T4 7650 5093117 Power CT29^3T12T11T4 7680 5093863 Power CT29^3T13T9T5 7752 5094240 Power CT29^3T12T10T5 7820 5095062 Power CT29^3T12T9T6 7854 5095337 Power CT29^3T12T8T7 7875 5096748 Power CT29^3T14T8T4 7920 5097185 Power CT29^3T14T7T5 8000 5097471 Power CT29^3T13T9T4 8075 5097848 Power CT29^3T12T10T4 8096 5098469 Power CT29^3T13T7T6 8160 5098760 Power CT29^3T12T9T5 8211 5099321 Power CT29^3T12T8T6 8228 5099382 Power CT29^3T12T7T7 8250 5100793 Power CT29^3T14T7T4 8280 5101169 Power CT29^3T14T6T5 8400 5101730 Power CT29^3T13T8T4 8448 5102167 Power CT29^3T13T7T5 8500 5102368 Power CT29^3T12T9T4 8568 5103019 Power CT29^3T12T8T5 8602 5103366 Power CT29^3T12T7T6 8625 5104777 Power CT29^3T14T6T4 8640 5104867 Power CT29^3T14T5T5 8800 5105775 Power CT29^3T13T7T4 8832 5106151 Power CT29^3T13T6T5 8925 5106627 Power CT29^3T12T8T4 8976 5107064 Power CT29^3T12T7T5 8993 5107350 Power CT29^3T12T6T6 9000 5108475 Power CT29^3T14T5T4 9200 5109759 Power CT29^3T13T6T4 9216 5109849 Power CT29^3T13T5T5 9350 5110672 Power CT29^3T12T7T4 9384 5111048 Power CT29^3T12T6T5 9600 5113457 Power CT29^3T13T5T4 9775 5114656 Power CT29^3T12T6T4 9792 5114746 Power CT29^3T12T5T5 10000 5117065 Power CT29^3T13T4T4

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