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

Last Updated Tue Jan 31 05:20:10 MST 2012

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).

Change t: - Change v: - + or go to Global Menu.

k N Source 7 15625 orthogonal array 8 25000 Xu-Ji-Dong 9 35762 Density (Linnemann-Frewer) postop NCK 10 44312 Density (Colbourn) postop NCK 11 52923 IPOG-F (NIST) 12 61878 IPOG-F (NIST) 13 69640 IPOG-F (NIST) 14 72681 paintball (Kuhn) 15 82139 IPOG-F (NIST) 16 87559 IPOG-F (NIST) 17 92701 IPOG-F (NIST) 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 a factor 30 184245 paintball (Kuhn) 31 233945 Add a factor 32 283645 Add a factor 33 333345 Add a factor 34 372842 Martirosyan-Tran van Trung 36 384104 Martirosyan-Tran van Trung 38 394305 Martirosyan-Tran van Trung 40 402469 Martirosyan-Tran van Trung 42 413833 Martirosyan-Tran van Trung 44 420198 Martirosyan-Tran van Trung 46 426226 Martirosyan-Tran van Trung 48 432004 Martirosyan-Tran van Trung 49 494104 Add a factor 50 538974 Martirosyan-Tran van Trung 52 578330 Martirosyan-Tran van Trung 54 601516 Martirosyan-Tran van Trung 56 603472 Martirosyan-Tran van Trung 58 605236 Martirosyan-Tran van Trung 60 606996 Martirosyan-Tran van Trung 61 669096 Add a factor 62 685976 Martirosyan-Tran van Trung 64 737340 Martirosyan-Tran van Trung 66 788620 Martirosyan-Tran van Trung 68 829661 Martirosyan-Tran van Trung 70 842383 Martirosyan-Tran van Trung 72 848857 Martirosyan-Tran van Trung 74 870414 Martirosyan-Tran van Trung 76 931326 Martirosyan-Tran van Trung 78 947024 Martirosyan-Tran van Trung 80 948352 Martirosyan-Tran van Trung 82 960980 Martirosyan-Tran van Trung 84 962248 Martirosyan-Tran van Trung 86 969821 Martirosyan-Tran van Trung 88 977219 Martirosyan-Tran van Trung 90 984403 Martirosyan-Tran van Trung 92 991725 Martirosyan-Tran van Trung 94 998639 Martirosyan-Tran van Trung 96 1012131 Martirosyan-Tran van Trung 97 1109031 Add a factor 98 1126079 Martirosyan-Tran van Trung 100 1171997 Martirosyan-Tran van Trung 112 1179468 Power CT16^2Arc(18):9 twos,0 ones 113 1198384 Power CT16^2Arc(18):7 twos,2 ones 114 1203804 Power CT16^2Arc(16):7 twos,1 ones 115 1207842 Power CT16^2Arc(18):6 twos,3 ones 116 1209224 Power CT16^2Arc(14):7 twos,0 ones 117 1213262 Power CT16^2Arc(16):6 twos,2 ones 118 1217300 Power CT16^2Arc(18):5 twos,4 ones 120 1218682 Power CT16^2Arc(14):6 twos,1 ones 121 1222720 Power CT16^2Arc(16):5 twos,3 ones 124 1224102 Power CT16^2Arc(12):6 twos,0 ones 125 1228140 Power CT16^2Arc(14):5 twos,2 ones 126 1232178 Power CT16^2Arc(16):4 twos,4 ones 130 1233560 Power CT16^2Arc(12):5 twos,1 ones 131 1237598 Power CT16^2Arc(14):4 twos,3 ones 136 1238980 Power CT16^2TD(4):2,2,2,2,2 137 1243018 Power CT16^2Arc(12):4 twos,2 ones 138 1247056 Power CT16^2Arc(14):3 twos,4 ones 144 1248438 Power CT16^2TD(4):2,2,2,2,1 145 1252476 Power CT16^2Arc(12):3 twos,3 ones 152 1253858 Power CT16^2TD(4):2,2,2,2,0 153 1257896 Power CT16^2TD(4):2,2,2,1,1 154 1261934 Power CT16^2Arc(12):2 twos,4 ones 162 1263316 Power CT16^2TD(4):2,2,2,1,0 163 1267354 Power CT16^2TD(4):2,2,1,1,1 172 1268736 Power CT16^2TD(2):2,2,2 173 1272774 Power CT16^2TD(4):2,2,1,1,0 174 1276812 Power CT16^2Arc(4)T2 184 1278194 Power CT16^2TD(2):1,2,2 185 1282232 Power CT16^2Arc(3)T2 196 1283614 Power CT16^2T2T2 197 1287652 Power CT16^2Arc(2)T2 198 1291690 Power CT16^2Arc(4) 210 1293072 Power CT16^2T2T1 211 1297110 Power CT16^2Arc(3) 224 1298492 Power CT16^2T2 225 1302530 Power CT16^2T1T1 240 1307950 Power CT16^2T1 256 1313370 Power CT16^2 272 1385358 Power CT17^2T1 289 1390500 Power CT17^2 290 1464060 Power CT17^2+1 291 1514693 Power CT19^2Arc(4) 304 1518456 Power CT19^2T3 306 1518995 Power CT19^2T2T1 307 1519296 Power CT19^2Arc(3) 323 1523598 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+3 365 1746921 Power CT23^2Arc(6):2 twos,0 ones 4 ext 366 1747042 Power CT23^2Arc(8):1 twos,2 ones 4 ext 367 1747163 Power CT23^2Arc(4)T4 368 1747543 Power CT23^2Arc(8):2 twos,1 ones 3 ext 369 1747664 Power CT23^2Arc(10):1 twos,3 ones 3 ext 370 1747785 Power CT23^2Arc(5)T3 371 1748052 Power CT23^2Arc(12):2 twos,4 ones 372 1748173 Power CT23^2Arc(6)T2 373 1748294 Power CT23^2Arc(8) 374 1749092 Power CT23^2T6T1 378 1750063 Power CT23^2T5T2 379 1750184 Power CT23^2Arc(2)T5 380 1750466 Power CT23^2T4T3 382 1750854 Power CT23^2Arc(6):1 twos,1 ones 4 ext 383 1750975 Power CT23^2Arc(3)T4 384 1751355 Power CT23^2Arc(6):2 twos,0 ones 3 ext 385 1751476 Power CT23^2Arc(8):1 twos,2 ones 3 ext 386 1751597 Power CT23^2Arc(4)T3 387 1751864 Power CT23^2Arc(10):2 twos,3 ones 388 1751985 Power CT23^2Arc(5)T2 389 1752106 Power CT23^2Arc(7) 391 1752904 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 a factor 627 2187430 Add a factor 628 2338530 Add a factor 629 2489630 Add a factor 630 2640730 Add a factor 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 a factor 844 3065860 Add a factor 845 3216960 Add a factor 871 3360060 Power CT31^2Arc(3) 900 3409760 Power CT31^2T1T1 930 3459460 Power CT31^2T1 961 3509160 Power CT31^2 962 3660260 Add a factor 963 3811360 Add a factor 964 3962460 Add a factor 965 4113560 Add a factor 966 4195334 Martirosyan-Colbourn 968 4195455 Martirosyan-Colbourn 976 4199267 Martirosyan-Colbourn 992 4204960 Power CT32^2T1 1024 4254660 Power CT32^2 1048 4260951 Martirosyan-Colbourn 1056 4261631 Martirosyan-Colbourn 1058 4263175 Martirosyan-Colbourn 1060 4317385 Martirosyan-Colbourn 1062 4355687 Martirosyan-Colbourn 1088 4358707 Martirosyan-Colbourn 1092 4360167 Martirosyan-Colbourn 1100 4361527 Martirosyan-Colbourn 1104 4361857 Martirosyan-Colbourn 1106 4362669 Martirosyan-Colbourn 1120 4366019 Martirosyan-Colbourn 1150 4368203 Martirosyan-Colbourn 1152 4368335 Martirosyan-Colbourn 1160 4383217 Martirosyan-Colbourn 1184 4383233 Martirosyan-Colbourn 1200 4394545 Martirosyan-Colbourn 1204 4412011 Martirosyan-Colbourn 1216 4412691 Martirosyan-Colbourn 1232 4414695 Martirosyan-Colbourn 1240 4415375 Martirosyan-Colbourn 1248 4415423 Martirosyan-Colbourn 1250 4417431 Martirosyan-Colbourn 1251 4568531 Add a factor 1252 4719631 Add a factor 1253 4870731 Add a factor 1260 4943096 Power CT29^3T20T19T15 1280 4946983 Power CT29^3T21T21T9 1300 4948605 Power CT29^3T19T19T16 1331 4949110 Power CT29^3T18T18T18 1344 4949900 Power CT29^3T21T17T15 1372 4951328 Power CT29^3T22T15T15 1400 4951646 Power CT29^3T19T19T15 1408 4955116 Power CT29^3T21T21T7 1430 4957216 Power CT29^3T19T18T16 1440 4957258 Power CT29^3T21T19T11 1456 4957662 Power CT29^3T21T16T15 1472 4958928 Power CT29^3T21T21T6 1540 4960257 Power CT29^3T19T18T15 1568 4960703 Power CT29^3T21T15T15 1573 4965827 Power CT29^3T18T18T16 1584 4965869 Power CT29^3T21T18T11 1600 4966024 Power CT29^3T21T21T4 1620 4968020 Power CT29^3T20T19T11 1638 4968424 Power CT29^3T20T16T15 1694 4968868 Power CT29^3T18T18T15 1764 4971465 Power CT29^3T20T15T15 1792 4975581 Power CT29^3T21T15T13 1800 4976570 Power CT29^3T19T19T11 1820 4976974 Power CT29^3T19T16T15 1848 4977823 Power CT29^3T18T17T15 1960 4980015 Power CT29^3T19T15T15 1980 4985181 Power CT29^3T19T18T11 2000 4985336 Power CT29^3T21T19T4 2002 4985585 Power CT29^3T18T16T15 2016 4985627 Power CT29^3T21T15T11 2024 4986851 Power CT29^3T21T18T6 2025 4987548 Power CT29^3T20T20T4 2156 4988626 Power CT29^3T18T15T15 2160 4992616 Power CT29^3T20T19T5 2200 4993740 Power CT29^3T19T19T7 2240 4994664 Power CT29^3T21T15T9 2250 4996098 Power CT29^3T20T19T4 2268 4996389 Power CT29^3T20T15T11 2300 4997552 Power CT29^3T19T19T6 2352 4997581 Power CT29^3T17T15T15 2380 5000035 Power CT29^3T19T15T12 2394 5000992 Power CT29^3T20T15T10 2400 5001166 Power CT29^3T19T19T5 2420 5002351 Power CT29^3T19T18T7 2464 5002797 Power CT29^3T21T15T7 2500 5004648 Power CT29^3T19T19T4 2520 5004939 Power CT29^3T19T15T11 2548 5005343 Power CT29^3T16T15T15 2576 5006609 Power CT29^3T21T15T6 2744 5008384 Power CT29^3T15T15T15 2750 5013259 Power CT29^3T19T18T4 2772 5013550 Power CT29^3T18T15T11 2800 5013705 Power CT29^3T21T15T4 2898 5017371 Power CT29^3T20T15T6 2940 5017842 Power CT29^3T15T15T14 3024 5020985 Power CT29^3T20T15T5 3025 5021870 Power CT29^3T18T18T4 3080 5022109 Power CT29^3T19T15T7 3136 5023262 Power CT29^3T15T15T13 3150 5024467 Power CT29^3T20T15T4 3220 5025921 Power CT29^3T19T15T6 3234 5026787 Power CT29^3T18T15T8 3332 5028404 Power CT29^3T15T15T12 3360 5029535 Power CT29^3T19T15T5 3388 5030720 Power CT29^3T18T15T7 3500 5033017 Power CT29^3T19T15T4 3528 5033308 Power CT29^3T15T15T11 3542 5034532 Power CT29^3T18T15T6 3570 5037862 Power CT29^3T15T14T12 3724 5037911 Power CT29^3T15T15T10 3850 5041628 Power CT29^3T18T15T4 3920 5042345 Power CT29^3T15T15T9 4116 5046545 Power CT29^3T15T15T8 4312 5050478 Power CT29^3T15T15T7 4508 5054290 Power CT29^3T15T15T6 4704 5057904 Power CT29^3T15T15T5 4900 5061386 Power CT29^3T15T15T4 4928 5065356 Power CT29^3T15T13T7 4950 5066552 Power CT29^3T18T11T4 4998 5066565 Power CT29^3T15T12T8 5000 5066707 Power CT29^3T21T4T4 5040 5067269 Power CT29^3T15T11T9 5054 5067438 Power CT29^3T15T10T10 5060 5068015 Power CT29^3T19T7T6 5082 5068881 Power CT29^3T18T8T7 5152 5069168 Power CT29^3T15T13T6 5175 5070373 Power CT29^3T20T6T4 5236 5070498 Power CT29^3T15T12T7 5250 5070844 Power CT29^3T15T14T4 5292 5071469 Power CT29^3T15T11T8 5320 5071872 Power CT29^3T15T10T9 5376 5072782 Power CT29^3T15T13T5 5400 5073987 Power CT29^3T20T5T4 5474 5074310 Power CT29^3T15T12T6 5500 5075111 Power CT29^3T19T7T4 5544 5075402 Power CT29^3T15T11T7 5586 5076072 Power CT29^3T15T10T8 5600 5076264 Power CT29^3T15T13T4 5625 5077469 Power CT29^3T20T4T4 5712 5077924 Power CT29^3T15T12T5 5750 5078923 Power CT29^3T19T6T4 5760 5079055 Power CT29^3T19T5T5 5796 5079214 Power CT29^3T15T11T6 5852 5080005 Power CT29^3T15T10T7 5880 5080506 Power CT29^3T15T9T8 5950 5081406 Power CT29^3T15T12T4 6000 5082537 Power CT29^3T19T5T4 6048 5082828 Power CT29^3T15T11T5 6050 5083722 Power CT29^3T18T7T4 6118 5083817 Power CT29^3T15T10T6 6160 5084439 Power CT29^3T15T9T7 6174 5084706 Power CT29^3T15T8T8 6250 5086019 Power CT29^3T19T4T4 6300 5086310 Power CT29^3T15T11T4 6384 5087431 Power CT29^3T15T10T5 6440 5088251 Power CT29^3T15T9T6 6468 5088639 Power CT29^3T15T8T7 6650 5090913 Power CT29^3T15T10T4 6720 5091865 Power CT29^3T15T9T5 6762 5092451 Power CT29^3T15T8T6 6776 5092572 Power CT29^3T15T7T7 6875 5094630 Power CT29^3T18T4T4 7000 5095347 Power CT29^3T15T9T4 7056 5096065 Power CT29^3T15T8T5 7084 5096384 Power CT29^3T15T7T6 7350 5099547 Power CT29^3T15T8T4 7392 5099998 Power CT29^3T15T7T5 7406 5100196 Power CT29^3T15T6T6 7700 5103480 Power CT29^3T15T7T4 7728 5103810 Power CT29^3T15T6T5 8050 5107292 Power CT29^3T15T6T4 8064 5107424 Power CT29^3T15T5T5 8400 5110906 Power CT29^3T15T5T4 8750 5114388 Power CT29^3T15T4T4 8778 5118166 Power CT29^3T10T8T7 8800 5118358 Power CT29^3T13T7T4 8820 5118667 Power CT29^3T9T8T8 8832 5118688 Power CT29^3T13T6T5 8925 5119567 Power CT29^3T12T8T4 8976 5120018 Power CT29^3T12T7T5 8993 5120216 Power CT29^3T12T6T6 9000 5120271 Power CT29^3T11T9T4 9025 5120440 Power CT29^3T10T10T4 9072 5120989 Power CT29^3T11T8T5 9108 5121308 Power CT29^3T11T7T6 9120 5121392 Power CT29^3T10T9T5 9177 5121978 Power CT29^3T10T8T6 9196 5122099 Power CT29^3T10T7T7 9200 5122170 Power CT29^3T13T6T4 9216 5122302 Power CT29^3T13T5T5 9240 5122600 Power CT29^3T9T8T7 9261 5122867 Power CT29^3T8T8T8 9350 5123500 Power CT29^3T12T7T4 9384 5123830 Power CT29^3T12T6T5 9450 5124471 Power CT29^3T11T8T4 9500 5124874 Power CT29^3T10T9T4 9504 5124922 Power CT29^3T11T7T5 9522 5125120 Power CT29^3T11T6T6 9576 5125592 Power CT29^3T10T8T5 9600 5125784 Power CT29^3T13T5T4 9614 5125911 Power CT29^3T10T7T6 9660 5126412 Power CT29^3T9T8T6 9680 5126533 Power CT29^3T9T7T7 9702 5126800 Power CT29^3T8T8T7 9775 5127312 Power CT29^3T12T6T4 9792 5127444 Power CT29^3T12T5T5 9900 5128404 Power CT29^3T11T7T4 9936 5128734 Power CT29^3T11T6T5 9975 5129074 Power CT29^3T10T8T4 10000 5129266 Power CT29^3T13T4T4

Graph: