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

Last Updated Mon May 9 06:41:48 MST 2016

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 35634 Density (Linnemann-Frewer) postop NCK 10 43277 Density Mult Cyclic (Colbourn) postop NCK 11 50499 Density Mult Cyclic (Colbourn) postop NCK 12 57529 Density Mult Cyclic (Colbourn) postop NCK 13 63835 Density Mult Cyclic (Colbourn) postop NCK 14 69760 Density Mult Cyclic (Colbourn) postop NCK 15 75364 Density Mult Cyclic (Colbourn) postop NCK 16 80406 Density Mult Cyclic (Colbourn) postop NCK 17 85307 Density Mult Cyclic (Colbourn) postop NCK 18 94263 IPOGF postop FSGF (RC-TJ) 19 98994 IPOGF postop FSGF (RC-TJ) 20 103514 IPOGF postop FSGF (RC-TJ) 21 107773 IPOGF postop FSGF (RC-TJ) 22 111818 IPOGF postop FSGF (RC-TJ) 23 115802 IPOGF postop FSGF (RC-TJ) 24 119500 IPOGF postop FSGF (RC-TJ) 25 123108 IPOGF postop FSGF (RC-TJ) 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 372811 Martirosyan-TVT 40 380039 Martirosyan-TVT 42 386462 Martirosyan-TVT 43 392723 Martirosyan-TVT variant 44 411373 Martirosyan-TVT 46 417581 Martirosyan-TVT 48 423523 Martirosyan-TVT 49 430423 Martirosyan-TVT variant 50 431779 Martirosyan-TVT 51 493879 Add 1 factors 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 837372 Martirosyan-TVT variant 74 847312 Martirosyan-TVT 75 878432 Martirosyan-TVT variant 76 908192 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 988570 Martirosyan-TVT 95 989678 Martirosyan-TVT variant 96 1002098 Martirosyan-TVT 97 1024273 Martirosyan-TVT variant 99 1031581 Power CZ2-16.0-15.14-13.1 100 1034286 Power CZ2-16.2-15.12-12.1 104 1035593 Power CZ2-16.1-15.13-13.1 105 1037594 Power CZ2-16.0-15.14-14.1 108 1040519 Power CZ2-16.2-15.12-13.1 111 1041606 Power CZ2-16.1-15.13-14.1 121 1043198 Power CZ2-16.0-15.15 123 1047210 Power CZ2-16.1-15.14 126 1052136 Power CZ2-16.2-15.13 130 1057091 Power CZ2-16.3-15.12 131 1060600 Power CZ2-16.6-15.8-13.1 132 1061571 Power CZ2-16.5-15.9-14.1 135 1062133 Power CZ2-16.4-15.11 138 1065642 Power CZ2-16.7-15.7-13.1 140 1066613 Power CZ2-16.6-15.8-14.1 141 1067175 Power CZ2-16.5-15.10 142 1069493 Power CZ2-16.9-15.5-12.1 143 1070053 Power CZ2-16.10-15.1-14.4 144 1070531 Power CZ2-16.9-15.3-14.3 145 1070684 Power CZ2-16.8-15.6-13.1 147 1071655 Power CZ2-16.7-15.7-14.1 148 1072217 Power CZ2-16.6-15.9 150 1074535 Power CZ2-16.10-15.4-12.1 152 1075320 Power CZ2-16.11-15.0-14.4 153 1075615 Power CZ2-16.10-15.2-14.3 154 1076135 Power CZ2-16.9-15.4-14.2 155 1076697 Power CZ2-16.8-15.6-14.1 156 1077259 Power CZ2-16.7-15.8 159 1079577 Power CZ2-16.11-15.3-12.1 160 1080648 Power CZ2-16.14-10.1 162 1080699 Power CZ2-16.11-15.1-14.3 163 1081177 Power CZ2-16.10-15.3-14.2 164 1081739 Power CZ2-16.9-15.5-14.1 165 1082301 Power CZ2-16.8-15.7 168 1084366 Power CZ2-16.13-12.1-14.1 169 1084586 Power CZ2-16.13-13.1-13.1 172 1085810 Power CZ2-16.11-15.3-13.1 173 1086261 Power CZ2-16.11-15.2-14.2 174 1086781 Power CZ2-16.10-15.4-14.1 175 1087343 Power CZ2-16.9-15.6 176 1087997 Power CZ2-16.14-11.1 180 1089745 Power CZ2-16.13-12.1-15.1 182 1090599 Power CZ2-16.13-13.1-14.1 183 1090894 Power CZ2-16.12-15.2-13.1 184 1091345 Power CZ2-16.12-15.1-14.2 185 1091823 Power CZ2-16.11-15.3-14.1 186 1092385 Power CZ2-16.10-15.5 192 1095012 Power CZ2-16.14-12.1 195 1095978 Power CZ2-16.13-13.1-15.1 196 1096612 Power CZ2-16.13-14.1-14.1 197 1096907 Power CZ2-16.12-15.2-14.1 198 1097427 Power CZ2-16.11-15.4 208 1101245 Power CZ2-16.14-13.1 210 1101991 Power CZ2-16.13-14.1-15.1 211 1102469 Power CZ2-16.12-15.3 224 1107258 Power CZ2-16.14-14.1 225 1107553 Power CZ2-16.13-15.1-15.1 240 1112637 Power CZ2-16.14-15.1 256 1117904 Power CZ2-16.15 272 1187767 Power CZ2-17.14-16.1 289 1195443 Power CZ2-17.15 290 1346543 Add 1 factors 306 1391975 Power CZ2-19.13-17.1-18.1 323 1398372 Power CZ2-19.14-17.1 324 1410146 Power CZ2-19.13-18.1-18.1 342 1415631 Power CZ2-19.14-18.1 361 1422744 Power CZ2-19.15 362 1552695 Power CT19^2+1 363 1616580 Power CT19^2+2 364 1677255 Power CT19^2+3 365 1697444 Add 4 factors 368 1701619 Power CT23^2T7 374 1702536 Power CT23^2T6T1 391 1706520 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 2078905 Add 2 factors 628 2118905 Add 3 factors 629 2131405 Add 4 factors 630 2143905 Add 5 factors 631 2285000 Add 6 factors 632 2376205 Add 5 factors 633 2416205 Add 5 factors 634 2428705 Add 5 factors 635 2441205 Add 5 factors 636 2582300 Add 6 factors 637 2673505 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 3752860 Add 2 factors 964 3795360 Add 3 factors 965 3807860 Add 4 factors 966 3820360 Add 5 factors 992 3857760 Power CT32^2T1 1024 3882660 Power CT32^2 1025 4033760 Add 1 factors 1026 4132560 Add 2 factors 1027 4175060 Add 3 factors 1028 4187560 Add 4 factors 1029 4200060 Add 5 factors 1058 4278455 Martirosyan-TVT 1060 4383669 Martirosyan-TVT 1062 4442877 Martirosyan-TVT 1063 4481779 Martirosyan-TVT variant 1064 4497939 Martirosyan-TVT 1088 4522187 Martirosyan-TVT 1100 4528471 Martirosyan-TVT 1104 4528847 Martirosyan-TVT 1106 4528937 Martirosyan-TVT 1150 4532455 Martirosyan-TVT 1152 4532545 Martirosyan-TVT 1153 4539385 Martirosyan-TVT variant 1156 4542633 Martirosyan-TVT 1158 4547665 Martirosyan-TVT 1162 4547825 Martirosyan-TVT 1166 4548021 Martirosyan-TVT 1168 4548181 Martirosyan-TVT 1172 4548309 Martirosyan-TVT 1180 4548501 Martirosyan-TVT 1186 4548741 Martirosyan-TVT 1188 4548821 Martirosyan-TVT 1192 4548901 Martirosyan-TVT 1196 4549425 Martirosyan-TVT 1200 4549505 Martirosyan-TVT 1202 4553193 Martirosyan-TVT 1208 4553469 Martirosyan-TVT 1212 4553629 Martirosyan-TVT 1214 4553789 Martirosyan-TVT 1220 4553869 Martirosyan-TVT 1226 4554109 Martirosyan-TVT 1230 4554189 Martirosyan-TVT 1232 4554269 Martirosyan-TVT 1242 4554873 Martirosyan-TVT 1244 4554953 Martirosyan-TVT 1250 4555229 Martirosyan-TVT 1251 4706329 Add 1 factors 1252 4706457 Martirosyan-TVT 1254 4787737 Martirosyan-TVT 1256 4827769 Martirosyan-TVT 1258 4840269 Martirosyan-TVT 1260 4852929 Martirosyan-TVT 1280 4939024 Power CT29^3T21T19T13 1287 4940309 Power CT29^3T20T18T16 1300 4940730 Power CT29^3T19T19T16 1320 4941204 Power CT29^3T21T18T14 1331 4941838 Power CT29^3T18T18T18 1344 4942630 Power CT29^3T21T17T15 1352 4943011 Power CT29^3T21T16T16 1360 4943925 Power CT29^3T21T19T12 1365 4945165 Power CT29^3T22T16T14 1372 4945486 Power CT29^3T22T15T15 1386 4946234 Power CT29^3T20T18T15 1408 4946246 Power CT29^3T21T18T13 1430 4947952 Power CT29^3T19T18T16 1440 4948234 Power CT29^3T21T17T14 1452 4948868 Power CT29^3T18T18T17 1456 4948936 Power CT29^3T21T16T15 1470 4951090 Power CT29^3T22T15T14 1496 4951147 Power CT29^3T21T18T12 1500 4952259 Power CT29^3T19T19T14 1512 4953264 Power CT29^3T20T17T15 1536 4953276 Power CT29^3T21T17T13 1540 4953877 Power CT29^3T19T18T15 1560 4954540 Power CT29^3T21T16T14 1568 4954861 Power CT29^3T21T15T15 1573 4955174 Power CT29^3T18T18T16 1584 4955898 Power CT29^3T18T17T17 1600 4957301 Power CT29^3T19T19T13 1632 4958177 Power CT29^3T21T17T12 1650 4959481 Power CT29^3T19T18T14 1664 4959582 Power CT29^3T21T16T13 1680 4960465 Power CT29^3T21T15T14 1694 4961099 Power CT29^3T18T18T15 1700 4962202 Power CT29^3T19T19T12 1716 4962204 Power CT29^3T18T17T16 1728 4962928 Power CT29^3T17T17T17 1768 4964483 Power CT29^3T21T16T12 1792 4965507 Power CT29^3T21T15T13 1800 4966069 Power CT29^3T21T14T14 1815 4966703 Power CT29^3T18T18T14 1820 4967213 Power CT29^3T19T16T15 1848 4968129 Power CT29^3T18T17T15 1859 4968510 Power CT29^3T18T16T16 1872 4969234 Power CT29^3T17T17T16 1904 4970408 Power CT29^3T21T15T12 1920 4971111 Power CT29^3T21T14T13 1936 4971745 Power CT29^3T18T18T13 1950 4972817 Power CT29^3T19T16T14 1960 4973138 Power CT29^3T19T15T15 1980 4973733 Power CT29^3T18T17T14 2002 4974435 Power CT29^3T18T16T15 2016 4975159 Power CT29^3T17T17T15 2028 4975540 Power CT29^3T17T16T16 2040 4976012 Power CT29^3T21T14T12 2048 4976153 Power CT29^3T21T13T13 2057 4976646 Power CT29^3T18T18T12 2080 4977859 Power CT29^3T19T16T13 2100 4978742 Power CT29^3T19T15T14 2112 4978775 Power CT29^3T18T17T13 2145 4980039 Power CT29^3T18T16T14 2156 4980360 Power CT29^3T18T15T15 2160 4980763 Power CT29^3T17T17T14 2176 4981054 Power CT29^3T21T13T12 2184 4981465 Power CT29^3T17T16T15 2197 4981846 Power CT29^3T16T16T16 2210 4982760 Power CT29^3T19T16T12 2244 4983676 Power CT29^3T18T17T12 2250 4984346 Power CT29^3T19T14T14 2288 4985081 Power CT29^3T18T16T13 2304 4985805 Power CT29^3T17T17T13 2312 4985955 Power CT29^3T21T12T12 2340 4987069 Power CT29^3T17T16T14 2352 4987390 Power CT29^3T17T15T15 2366 4987771 Power CT29^3T16T16T15 2380 4988685 Power CT29^3T19T15T12 2400 4989388 Power CT29^3T19T14T13 2431 4989982 Power CT29^3T18T16T12 2448 4990706 Power CT29^3T17T17T12 2464 4991006 Power CT29^3T18T15T13 2475 4991568 Power CT29^3T18T14T14 2496 4992111 Power CT29^3T17T16T13 2520 4992994 Power CT29^3T17T15T14 2535 4993375 Power CT29^3T16T16T14 2548 4993696 Power CT29^3T16T15T15 2550 4994289 Power CT29^3T19T14T12 2560 4994430 Power CT29^3T19T13T13 2618 4995907 Power CT29^3T18T15T12 2640 4996610 Power CT29^3T18T14T13 2652 4997012 Power CT29^3T17T16T12 2688 4998036 Power CT29^3T17T15T13 2704 4998417 Power CT29^3T16T16T13 2730 4999300 Power CT29^3T16T15T14 2744 4999621 Power CT29^3T15T15T15 2805 5001511 Power CT29^3T18T14T12 2816 5001652 Power CT29^3T18T13T13 2856 5002937 Power CT29^3T17T15T12 2873 5003318 Power CT29^3T16T16T12 2880 5003640 Power CT29^3T17T14T13 2890 5004232 Power CT29^3T19T12T12 2912 5004342 Power CT29^3T16T15T13 2925 5004904 Power CT29^3T16T14T14 2940 5005225 Power CT29^3T15T15T14 2992 5006553 Power CT29^3T18T13T12 3060 5008541 Power CT29^3T17T14T12 3072 5008682 Power CT29^3T17T13T13 3094 5009243 Power CT29^3T16T15T12 3120 5009946 Power CT29^3T16T14T13 3136 5010267 Power CT29^3T15T15T13 3150 5010829 Power CT29^3T15T14T14 3179 5011454 Power CT29^3T18T12T12 3264 5013583 Power CT29^3T17T13T12 3315 5014847 Power CT29^3T16T14T12 3328 5014988 Power CT29^3T16T13T13 3332 5015168 Power CT29^3T15T15T12 3360 5015871 Power CT29^3T15T14T13 3375 5016433 Power CT29^3T14T14T14 3468 5018484 Power CT29^3T17T12T12 3536 5019889 Power CT29^3T16T13T12 3570 5020772 Power CT29^3T15T14T12 3584 5020913 Power CT29^3T15T13T13 3600 5021475 Power CT29^3T14T14T13 3757 5024790 Power CT29^3T16T12T12 3808 5025814 Power CT29^3T15T13T12 3825 5026376 Power CT29^3T14T14T12 3840 5026517 Power CT29^3T14T13T13 4046 5030715 Power CT29^3T15T12T12 4080 5031418 Power CT29^3T14T13T12 4096 5031559 Power CT29^3T13T13T13 4335 5036319 Power CT29^3T14T12T12 4352 5036460 Power CT29^3T13T13T12 4624 5041361 Power CT29^3T13T12T12 4913 5046262 Power CT29^3T12T12T12 4928 5052325 Power CT29^3T15T13T7 4950 5052887 Power CT29^3T14T14T7 4998 5053181 Power CT29^3T15T12T8 5040 5053884 Power CT29^3T14T13T8 5100 5054526 Power CT29^3T14T12T9 5120 5054667 Power CT29^3T13T13T9 5168 5055048 Power CT29^3T13T12T10 5202 5055218 Power CT29^3T12T12T11 5236 5057226 Power CT29^3T15T12T7 5280 5057929 Power CT29^3T14T13T7 5355 5058785 Power CT29^3T14T12T8 5376 5058926 Power CT29^3T13T13T8 5440 5059568 Power CT29^3T13T12T9 5491 5059949 Power CT29^3T12T12T10 5520 5061913 Power CT29^3T14T13T6 5525 5062591 Power CT29^3T16T12T4 5610 5062830 Power CT29^3T14T12T7 5632 5062971 Power CT29^3T13T13T7 5712 5063827 Power CT29^3T13T12T8 5780 5064469 Power CT29^3T12T12T9 5865 5066814 Power CT29^3T14T12T6 5888 5066955 Power CT29^3T13T13T6 5984 5067872 Power CT29^3T13T12T7 6069 5068728 Power CT29^3T12T12T8 6120 5070512 Power CT29^3T14T12T5 6144 5070653 Power CT29^3T13T13T5 6256 5071856 Power CT29^3T13T12T6 6358 5072773 Power CT29^3T12T12T7 6375 5074120 Power CT29^3T14T12T4 6400 5074261 Power CT29^3T13T13T4 6528 5075554 Power CT29^3T13T12T5 6647 5076757 Power CT29^3T12T12T6 6800 5079162 Power CT29^3T13T12T4 6936 5080455 Power CT29^3T12T12T5 7225 5084063 Power CT29^3T12T12T4 7296 5089241 Power CT29^3T13T10T5 7344 5089411 Power CT29^3T12T11T5 7360 5090063 Power CT29^3T13T9T6 7392 5090338 Power CT29^3T13T8T7 7429 5090444 Power CT29^3T12T10T6 7480 5090980 Power CT29^3T12T9T7 7497 5091194 Power CT29^3T12T8T8 7500 5092327 Power CT29^3T14T9T4 7600 5092849 Power CT29^3T13T10T4 7650 5093019 Power CT29^3T12T11T4 7680 5093761 Power CT29^3T13T9T5 7752 5094142 Power CT29^3T12T10T5 7820 5094964 Power CT29^3T12T9T6 7854 5095239 Power CT29^3T12T8T7 7875 5096586 Power CT29^3T14T8T4 7920 5097023 Power CT29^3T14T7T5 7935 5097309 Power CT29^3T14T6T6 8000 5097369 Power CT29^3T13T9T4 8075 5097750 Power CT29^3T12T10T4 8096 5098367 Power CT29^3T13T7T6 8160 5098662 Power CT29^3T12T9T5 8211 5099223 Power CT29^3T12T8T6 8228 5099284 Power CT29^3T12T7T7 8250 5100631 Power CT29^3T14T7T4 8280 5101007 Power CT29^3T14T6T5 8400 5101628 Power CT29^3T13T8T4 8448 5102065 Power CT29^3T13T7T5 8500 5102270 Power CT29^3T12T9T4 8568 5102921 Power CT29^3T12T8T5 8602 5103268 Power CT29^3T12T7T6 8625 5104615 Power CT29^3T14T6T4 8640 5104705 Power CT29^3T14T5T5 8800 5105673 Power CT29^3T13T7T4 8832 5106049 Power CT29^3T13T6T5 8925 5106529 Power CT29^3T12T8T4 8976 5106966 Power CT29^3T12T7T5 8993 5107252 Power CT29^3T12T6T6 9000 5108313 Power CT29^3T14T5T4 9200 5109657 Power CT29^3T13T6T4 9216 5109747 Power CT29^3T13T5T5 9350 5110574 Power CT29^3T12T7T4 9384 5110950 Power CT29^3T12T6T5 9600 5113355 Power CT29^3T13T5T4 9775 5114558 Power CT29^3T12T6T4 9792 5114648 Power CT29^3T12T5T5 10000 5116963 Power CT29^3T13T4T4

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