Table for CAN(6,k,3) 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,3) 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 7 729 orthogonal array 8 1152 cross-sum (CKRS) 9 1431 Walker-Colbourn postop NCK 11 1449 Walker-Colbourn 12 2181 Walker-Colbourn 13 2722 Density (Colbourn) postop NCK 14 2907 Walker-Colbourn 15 3225 Density (Colbourn) postop NCK 16 3436 Density (Colbourn) postop NCK 17 3658 Density (Colbourn) postop NCK 18 3846 Density (Colbourn) postop NCK 19 4054 Density (Colbourn) postop NCK 20 4486 Density (Colbourn) postop NCK 21 4678 Density (Colbourn) postop NCK 22 4853 Density (Colbourn) postop NCK 23 4942 Density (Colbourn) postop NCK 24 5193 Density (Colbourn) postop NCK 25 5257 Density (Colbourn) postop NCK 26 5709 IPOG-F (NIST) 27 5853 IPOG-F (NIST) 28 6003 IPOG-F (NIST) 29 6150 IPOG-F (NIST) 30 6281 IPOG-F (NIST) 31 6413 IPOG-F (NIST) 32 6535 IPOG-F (NIST) 33 6656 IPOG-F (NIST) 34 6772 IPOG-F (NIST) 35 6877 IPOG-F (NIST) 36 6989 IPOG-F (NIST) 37 7092 IPOG-F (NIST) 38 7194 IPOG-F (NIST) 39 7293 IPOG-F (NIST) 40 7391 IPOG-F (NIST) 41 7490 IPOG-F (NIST) 42 7574 IPOG-F (NIST) 43 7672 IPOG-F (NIST) 44 7757 IPOG-F (NIST) 45 7845 IPOG-F (NIST) 46 7938 IPOG-F (NIST) 47 8013 IPOG-F (NIST) 48 8092 IPOG-F (NIST) 49 8179 IPOG-F (NIST) 50 8256 IPOG-F (NIST) 51 8333 IPOG-F (NIST) 52 11429 Add a factor 53 14543 Add a factor 54 17657 Add a factor 55 20807 Add a factor 71 23601 Power CZ2-13.6-11.7-12.0 72 24333 Power CZ2-13.6-11.6-12.1 73 24851 Power CZ2-13.7-11.6-12.0 74 25065 Power CZ2-13.6-11.5-12.2 76 25583 Power CZ2-13.7-11.5-12.1 77 25797 Power CZ2-13.6-11.4-12.3 79 26124 Power CZ2-13.8-11.5-12.0 80 26315 Power CZ2-13.7-11.4-12.2 81 26529 Power CZ2-13.6-11.3-12.4 84 26856 Power CZ2-13.8-11.4-12.1 85 27047 Power CZ2-13.7-11.3-12.3 86 27261 Power CZ2-13.6-11.2-12.5 89 27397 Power CZ2-13.9-11.4-12.0 90 27588 Power CZ2-13.8-11.3-12.2 91 27779 Power CZ2-13.7-11.2-12.4 92 27993 Power CZ2-13.6-12.6-11.1 96 28129 Power CZ2-13.9-12.1-11.3 97 28320 Power CZ2-13.8-12.3-11.2 98 28511 Power CZ2-13.7-12.5-11.1 103 28670 Power CZ2-13.10-12.0-11.3 104 28861 Power CZ2-13.9-12.2-11.2 105 29052 Power CZ2-13.8-12.4-11.1 106 29243 Power CZ2-13.7-12.6 112 29402 Power CZ2-13.10-12.1-11.2 113 29593 Power CZ2-13.9-12.3-11.1 114 29784 Power CZ2-13.8-12.5 121 29943 Power CZ2-13.11-11.1-11.1 122 30134 Power CZ2-13.10-12.2-11.1 123 30325 Power CZ2-13.9-12.4 132 30675 Power CZ2-13.11-11.1-12.1 133 30866 Power CZ2-13.10-12.3 143 31216 Power CZ2-13.12-11.1 144 31407 Power CZ2-13.11-12.1-12.1 156 31948 Power CZ2-13.12-12.1 169 32489 Power CZ2-13.13 170 35397 Power CZ2-14.13 171 39166 Power CZ2-15.13 176 40170 Power CZ2-16.12-11.1 180 40573 Power CZ2-16.11-12.1-15.1 182 40685 Power CZ2-16.11-13.1-14.1 183 40691 Power CZ2-16.10-15.2-13.1 184 40732 Power CZ2-16.10-15.1-14.2 185 40738 Power CZ2-16.9-15.3-14.1 186 40842 Power CZ2-16.8-15.5 192 40902 Power CZ2-16.12-12.1 195 40923 Power CZ2-16.11-13.1-15.1 197 40970 Power CZ2-16.10-15.2-14.1 198 41054 Power CZ2-16.9-15.4 208 41252 Power CZ2-16.12-13.1 210 41260 Power CZ2-16.11-14.1-15.1 211 41266 Power CZ2-16.10-15.3 225 41498 Power CZ2-16.11-15.1-15.1 240 41827 Power CZ2-16.12-15.1 256 42156 Power CZ2-16.13 272 44850 Power CZ2-17.12-16.1 289 45090 Power CZ2-17.13 290 47554 Power CZ2-18.13 291 49384 Power CZ2-19.9-18.4 307 49590 Power CZ2-19.10-18.3 324 49797 Power CZ2-19.11-18.1-18.1 342 50011 Power CZ2-19.12-18.1 361 50225 Power CZ2-19.13 362 55215 Power CZ2-20.13 363 57836 Power CZ2-21.13 364 59932 Power CZ2-23.10-22.1-20.1-19.1 365 60000 Power CZ2-23.10-21.1-21.1-19.1 366 60009 Power CZ26-23.9-22.2-21.1-19.1 367 60100 Power CZ2-23.8-22.4-19.1 380 60151 Power CZ2-23.11-19.1-20.1 382 60190 Power CZ2-23.10-22.1-21.1-19.1 383 60199 Power CZ2-23.9-22.3-19.1 384 60280 Power CZ2-23.10-21.1-21.1-20.1 385 60359 Power CZ26-23.9-22.2-21.1-20.1 400 60380 Power CZ2-23.10-22.2-19.1 402 60466 Power CZ2-23.10-22.1-21.1-20.1 403 60538 Power CZ2-23.10-22.0-21.3 418 60599 Power CZ2-23.11-19.1-22.1 420 60647 Power CZ2-23.11-20.1-21.1 421 60656 Power CZ2-23.10-22.2-20.1 422 60724 Power CZ2-23.10-22.1-21.2 423 60807 Power CZ2-23.9-22.3-21.1 440 60837 Power CZ2-23.11-20.1-22.1 441 60905 Power CZ2-23.11-21.1-21.1 442 60914 Power CZ2-23.10-22.2-21.1 443 60997 Power CZ2-23.9-22.4 462 61095 Power CZ2-23.11-21.1-22.1 463 61104 Power CZ2-23.10-22.3 484 61285 Power CZ2-23.11-22.1-22.1 506 61572 Power CZ2-23.12-22.1 529 61859 Power CZ2-23.13 530 64856 Power CZ2-24.13 550 65418 Power CZ2-25.12-22.1 552 65512 Power CZ2-25.11-23.1-24.1 553 65544 Power CZ2-25.10-24.3 575 65679 Power CZ2-25.12-23.1 576 65706 Power CZ2-25.11-24.1-24.1 600 65873 Power CZ2-25.12-24.1 625 66040 Power CZ2-25.13 626 72346 Add a factor 650 75336 Power CT27^2T2T1 675 75480 Power CT27^2T2 676 75788 Power CT27^2T1T1 702 75932 Power CT27^2T1 729 76076 Power CT27^2 730 78026 Power CT27^2+1 731 79349 Power CT29^2Arc(4) 756 79493 Power CT29^2T2T1 757 79496 Power CT29^2Arc(3) 783 79640 Power CT29^2T2 784 79643 Power CT29^2T1T1 812 79790 Power CT29^2T1 841 79937 Power CT29^2 842 81640 Power CT29^2+1 843 82828 Power CT31^2Arc(4) 868 82946 Power CT31^2T3 871 82960 Power CT31^2Arc(3) 900 83092 Power CT31^2T1T1 930 83224 Power CT31^2T1 961 83356 Power CT31^2 992 84820 Power CT32^2T1 1024 84942 Power CT32^2 1025 86515 Power CT32^2+1 1026 88023 Power CT32^2+2 1027 89388 Power CT32^2+3 1028 90844 Power CT32^2 +4 1030 91091 Power CT37^2Trin2,3,5 1032 91093 Power CT37^2Arc(8):2 twos,1 ones 5 ext 1036 91094 Power CT37^2T9 1039 91108 Power CT37^2Arc(10):5 twos,0 ones 1040 91117 Power CT37^2Arc(12):4 twos,2 ones 1041 91126 Power CT37^2Arc(14):3 twos,4 ones 1042 91135 Power CT37^2Arc(16):2 twos,6 ones 1044 91138 Power CT37^2T8T1 1050 91157 Power CT37^2T7T2 1051 91166 Power CT37^2Arc(2)T7 1054 91184 Power CT37^2T6T3 1056 91186 Power CT37^2Arc(6):1 twos,1 ones 6 ext 1057 91195 Power CT37^2Arc(3)T6 1060 91196 Power CT37^2Arc(6):2 twos,0 ones 5 ext 1061 91205 Power CT37^2Arc(8):1 twos,2 ones 5 ext 1062 91212 Power CT37^2Trin2,3,4 1064 91214 Power CT37^2Arc(8):2 twos,1 ones 4 ext 1066 91218 Power CT37^2Arc(8):3 twos,0 ones 3 ext 1068 91220 Power CT37^2Arc(10):4 twos,1 ones 1069 91229 Power CT37^2Arc(12):3 twos,3 ones 1070 91238 Power CT37^2Arc(14):2 twos,5 ones 1073 91241 Power CT37^2T8 1080 91269 Power CT37^2T7T1 1085 91289 Power CT37^2T6T2 1086 91298 Power CT37^2Arc(2)T6 1088 91306 Power CT37^2T5T3 1090 91308 Power CT37^2Arc(6):1 twos,1 ones 5 ext 1093 91317 Power CT37^2Arc(6):2 twos,0 ones 4 ext 1097 91323 Power CT37^2Arc(8):4 twos,0 ones 1098 91332 Power CT37^2Arc(10):3 twos,2 ones 1099 91341 Power CT37^2Arc(12):2 twos,4 ones 1100 91350 Power CT37^2Arc(6)T2 1101 91359 Power CT37^2Arc(8) 1110 91372 Power CT37^2T7 1116 91401 Power CT37^2T6T1 1120 91411 Power CT37^2T5T2 1121 91420 Power CT37^2Arc(2)T5 1122 91427 Power CT37^2T4T3 1124 91429 Power CT37^2Arc(6):1 twos,1 ones 4 ext 1126 91433 Power CT37^2Arc(6):2 twos,0 ones 3 ext 1128 91435 Power CT37^2Arc(8):3 twos,1 ones 1129 91444 Power CT37^2Arc(10):2 twos,3 ones 1130 91453 Power CT37^2Arc(5)T2 1131 91462 Power CT37^2Arc(7) 1147 91504 Power CT37^2T6 1152 91523 Power CT37^2T5T1 1155 91532 Power CT37^2T4T2 1159 91538 Power CT37^2Arc(6):3 twos,0 ones 1160 91547 Power CT37^2Arc(8):2 twos,2 ones 1161 91556 Power CT37^2Arc(4)T2 1162 91565 Power CT37^2Arc(6) 1184 91626 Power CT37^2T5 1188 91644 Power CT37^2T4T1 1190 91648 Power CT37^2T3T2 1192 91650 Power CT37^2Arc(6):2 twos,1 ones 1193 91659 Power CT37^2Arc(3)T2 1194 91668 Power CT37^2Arc(5) 1221 91747 Power CT37^2T4 1225 91753 Power CT37^2T2T2 1226 91762 Power CT37^2Arc(2)T2 1227 91771 Power CT37^2Arc(4) 1258 91863 Power CT37^2T3 1260 91865 Power CT37^2T2T1 1261 91874 Power CT37^2Arc(3) 1295 91968 Power CT37^2T2 1296 91977 Power CT37^2T1T1 1332 92080 Power CT37^2T1 1369 92183 Power CT37^2 1370 93509 Power CT37^2+1 1371 94796 Power CT37^2+2 1372 96070 Power CT37^2+3 1375 96563 Power CT41^2Arc(4)T4 1381 96565 Power CT41^2Arc(8) 1394 96639 Power CT41^2T7 1400 96645 Power CT41^2T6T1 1405 96658 Power CT41^2Arc(2)T5 1409 96662 Power CT41^2Arc(3)T4 1415 96664 Power CT41^2Arc(7) 1435 96744 Power CT41^2T6 1440 96757 Power CT41^2T5T1 1444 96761 Power CT41^2Arc(2)T4 1450 96763 Power CT41^2Arc(6) 1476 96856 Power CT41^2T5 1480 96860 Power CT41^2T4T1 1486 96862 Power CT41^2Arc(5) 1517 96959 Power CT41^2T4 1523 96961 Power CT41^2Arc(4) 1561 97060 Power CT41^2Arc(3) 1600 97159 Power CT41^2T1T1 1640 97258 Power CT41^2T1 1681 97357 Power CT41^2 1682 98449 Power CT41^2+1 1683 99331 Power CT43^2Arc(4) 1723 99429 Power CT43^2Arc(3) 1764 99527 Power CT43^2T1T1 1806 99625 Power CT43^2T1 1849 99723 Power CT43^2 1936 100353 Power CZ3-25.22-11.1-11.1-16.1 2057 100593 Power CZ3-25.22-11.1-11.1-17.1 2178 100772 Power CZ3-25.22-11.1-11.1-18.1 2299 100986 Power CZ3-25.22-11.1-11.1-19.1 2420 101224 Power CZ3-25.22-11.1-11.1-20.1 2500 101399 Power CZ3-25.0-24.0-23.25 2541 101482 Power CZ3-25.22-11.1-11.1-21.1 2608 101567 Power CZ3-25.0-24.1-23.24 2662 101672 Power CZ3-25.22-11.1-11.1-22.1 2721 101735 Power CZ3-25.0-24.2-23.23 2737 101881 Power CZ3-25.1-24.1-23.23 2783 101933 Power CZ3-25.22-11.1-11.1-23.1 2839 101934 Power CZ3-25.0-24.3-23.22 2856 102049 Power CZ3-25.1-24.2-23.22 2904 102127 Power CZ3-25.22-11.1-11.1-24.1 2962 102133 Power CZ3-25.0-24.4-23.21 2980 102248 Power CZ3-25.1-24.3-23.21 3025 102294 Power CZ3-25.23-11.1-11.1 3090 102332 Power CZ3-25.0-24.5-23.20 3109 102447 Power CZ3-25.1-24.4-23.20 3135 102525 Power CZ3-25.22-11.1-15.1-19.1 3224 102531 Power CZ3-25.0-24.6-23.19 3244 102646 Power CZ3-25.1-24.5-23.19 3364 102730 Power CZ3-25.0-24.7-23.18 3385 102845 Power CZ3-25.1-24.6-23.18 3510 102929 Power CZ3-25.0-24.8-23.17 3532 103044 Power CZ3-25.1-24.7-23.17 3564 103059 Power CZ3-25.22-11.1-18.1-18.1 3662 103128 Power CZ3-25.0-24.9-23.16 3685 103243 Power CZ3-25.1-24.8-23.16 3762 103273 Power CZ3-25.22-11.1-18.1-19.1 3821 103327 Power CZ3-25.0-24.10-23.15 3845 103442 Power CZ3-25.1-24.9-23.15 3971 103487 Power CZ3-25.22-11.1-19.1-19.1 3987 103526 Power CZ3-25.0-24.11-23.14 4012 103641 Power CZ3-25.1-24.10-23.14 4180 103725 Power CZ3-25.22-11.1-19.1-20.1 4186 103840 Power CZ3-25.1-24.11-23.13 4340 103924 Power CZ3-25.0-24.13-23.12 4356 103959 Power CZ3-25.22-11.1-18.1-22.1 4400 103963 Power CZ3-25.22-11.1-20.1-20.1 5000 104120 Power CZ3-25.19-20.5-20.1 5100 104305 Power CZ3-25.19-20.5-21.1 5200 104491 Power CZ3-25.19-20.5-22.1 5300 104672 Power CZ3-25.19-20.5-23.1 5324 104859 Power CZ3-25.22-11.1-22.1-22.1 5400 104871 Power CZ3-25.19-20.5-24.1 5500 105033 Power CZ3-25.23-11.1-20.1 5566 105120 Power CZ3-25.22-11.1-22.1-23.1 5700 105218 Power CZ3-25.20-20.4-21.1 5775 105291 Power CZ3-25.23-11.1-21.1 5808 105314 Power CZ3-25.22-11.1-22.1-24.1 5819 105381 Power CZ3-25.22-11.1-23.1-23.1 5900 105404 Power CZ3-25.20-20.4-22.1 6050 105481 Power CZ3-25.23-11.1-22.1 6072 105575 Power CZ3-25.22-11.1-23.1-24.1 6100 105585 Power CZ3-25.20-20.4-23.1 6156 105648 Power CZ3-25.22-18.1-18.1-19.1 6325 105742 Power CZ3-25.23-11.1-23.1 6336 105769 Power CZ3-25.22-24.2-11.1 6498 105862 Power CZ3-25.22-18.1-19.1-19.1 6600 105936 Power CZ3-25.23-11.1-24.1 6859 106076 Power CZ3-25.22-19.1-19.1-19.1 6875 106103 Power CZ3-25.24-11.1 6900 106211 Power CZ3-25.22-15.1-20.1-23.1 6912 106287 Power CZ3-25.22-16.1-18.1-24.1 6930 106288 Power CZ3-25.22-15.1-21.1-22.1 6992 106302 Power CZ3-25.22-16.1-19.1-23.1 7220 106314 Power CZ3-25.22-19.1-19.1-20.1 7245 106469 Power CZ3-25.22-15.1-21.1-23.1 7260 106478 Power CZ3-25.22-15.1-22.1-22.1 7400 106498 Power CZ3-25.21-20.3-23.1 7452 106507 Power CZ3-25.22-18.1-18.1-23.1 7524 106540 Power CZ3-25.22-18.1-19.1-22.1 7600 106552 Power CZ3-25.22-19.1-20.1-20.1 7650 106689 Power CZ3-25.23-17.1-18.1 7700 106697 Power CZ3-25.21-20.3-24.1 7776 106706 Power CZ3-25.22-18.1-18.1-24.1 7866 106721 Power CZ3-25.22-18.1-19.1-23.1 7942 106754 Power CZ3-25.22-19.1-19.1-22.1 7980 106806 Power CZ3-25.22-19.1-20.1-21.1 8000 106859 Power CZ3-25.22-20.1-20.1-20.1 8100 106868 Power CZ3-25.23-18.1-18.1 8208 106920 Power CZ3-25.22-18.1-19.1-24.1 8303 106935 Power CZ3-25.22-19.1-19.1-23.1 8360 106992 Power CZ3-25.22-19.1-20.1-22.1 8400 107044 Power CZ3-25.22-20.1-20.1-21.1 8550 107082 Power CZ3-25.23-18.1-19.1 8664 107134 Power CZ3-25.22-19.1-19.1-24.1 8740 107173 Power CZ3-25.22-19.1-20.1-23.1 8800 107230 Power CZ3-25.22-20.1-20.1-22.1 9025 107296 Power CZ3-25.23-19.1-19.1 9120 107372 Power CZ3-25.22-19.1-20.1-24.1 9200 107411 Power CZ3-25.22-20.1-20.1-23.1 9240 107488 Power CZ3-25.22-20.1-21.1-22.1 9500 107534 Power CZ3-25.23-19.1-20.1 9504 107606 Power CZ3-25.22-18.1-22.1-24.1 9600 107610 Power CZ3-25.22-20.1-20.1-24.1 9614 107621 Power CZ3-25.22-19.1-22.1-23.1 9660 107669 Power CZ3-25.22-20.1-21.1-23.1 9680 107678 Power CZ3-25.22-20.1-22.1-22.1 9702 107746 Power CZ3-25.22-21.1-21.1-22.1 9900 107768 Power CZ3-25.23-18.1-22.1 10000 107772 Power CZ3-25.23-20.1-20.1

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