Table for CAN(2,k,20) for k up to 20000

Last Updated Tue Mar 8 06:44:32 MST 2022

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;2,k,20) 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 6 400 orthogonal array 7 423 Add Factor SO (AG-TJ-IM) 9 425 Add Factor SO (AG-TJ-IM) 10 427 Add Factor SO (AG-TJ-IM) 13 429 Add Factor SO (AG-TJ-IM) 14 434 Add Factor SO (AG-TJ-IM) 16 435 Add Factor SO (AG-TJ-IM) 17 440 Add Factor SO (AG-TJ-IM) 18 443 Add Factor SO (AG-TJ-IM) 19 447 Add Factor SO (AG-TJ-IM) 20 451 Add Factor SO (AG-TJ-IM) 22 504 Add Factor SO (AG-TJ-IM) 24 506 Add Factor SO (AG-TJ-IM) 25 512 projection (C) postop NCK 26 517 projection (C) postop NCK 27 520 projection (C) postop TJ-SA 28 586 projection (C) postop NCK 29 589 projection (C) postop NCK 30 590 projection (C) postop NCK 31 592 projection (C) postop NCK 32 659 projection (C) postop NCK 33 661 projection (C) postop NCK 34 663 projection (C) postop NCK 35 666 projection (C) postop NCK 36 679 projection (C) postop NCK 37 685 simulated annealing (Torres-Jimenez) postop NCK 38 707 simulated annealing (Torres-Jimenez) postop NCK 39 740 projection (C) postop NCK 43 754 Fix 5 symbols (LCDST) postop TJ-SA 45 755 Fix 5 symbols (LCDST) postop TJ-SA 47 756 Fix 5 symbols (LCDST) 49 761 Fix 6 symbols (LCDST) 50 775 Fix 6 symbols (LCDST) 51 789 Fix 6 symbols (LCDST) 54 793 Fix 7 symbols (LCDST) 55 806 Fix 7 symbols (LCDST) 60 807 PCAxPCA 78 809 PCAxPCA 84 814 PCAxPCA 96 815 PCAxPCA 102 820 PCAxPCA 108 823 PCAxPCA 114 827 PCAxPCA 120 831 PCAxPCA 130 836 Direct product 169 838 Direct product 182 843 Direct product 208 844 Direct product 224 849 Direct product 256 850 Direct product 272 855 Direct product 288 858 Direct product 289 860 Direct product 304 862 Direct product 306 863 Direct product 324 866 Direct product 342 870 Direct product 384 874 Direct product 385 878 Direct product generalized 408 879 Direct product 409 881 Direct product generalized 432 882 Direct product 433 885 Direct product generalized 456 886 Direct product 457 889 Direct product generalized 480 890 Direct product 500 911 Direct product generalized 502 926 Direct product generalized 506 927 Direct product generalized 512 928 Direct product generalized 516 929 Direct product generalized 518 930 Direct product generalized 519 931 Direct product generalized 520 932 Direct product generalized 528 943 Direct product 533 944 Direct product generalized 552 945 Direct product 553 948 Direct product generalized 576 949 Direct product 600 951 Direct product 601 954 Direct product generalized 624 955 Direct product 625 957 Direct product generalized 648 958 Direct product 653 977 Direct product generalized 659 979 Direct product generalized 675 980 Direct product generalized 682 994 Direct product generalized 687 995 Direct product generalized 693 996 Direct product generalized 698 997 Direct product generalized 700 998 Direct product generalized 701 999 Direct product generalized 702 1000 Direct product generalized 713 1013 Direct product generalized 715 1014 Direct product generalized 729 1017 Direct product generalized 741 1020 Direct product generalized 745 1026 Direct product generalized 749 1029 Direct product generalized 753 1030 Direct product generalized 757 1032 Direct product generalized 760 1046 Direct product generalized 764 1049 Direct product generalized 766 1050 Direct product generalized 768 1051 Direct product generalized 775 1052 Direct product generalized 777 1054 Direct product generalized 780 1055 Direct product generalized 781 1056 Direct product generalized 783 1057 Direct product generalized 787 1067 Direct product generalized 795 1068 Direct product generalized 801 1069 Direct product generalized 804 1070 Direct product generalized 805 1071 Direct product generalized 806 1072 Direct product generalized 808 1075 Direct product generalized 810 1076 Direct product generalized 823 1087 Direct product generalized 837 1089 Direct product generalized 849 1092 Direct product generalized 852 1099 Direct product generalized 856 1100 Direct product generalized 860 1102 Direct product generalized 864 1104 Direct product generalized 867 1105 Direct product generalized 871 1108 Direct product generalized 875 1119 Direct product generalized 878 1120 Direct product generalized 881 1122 Direct product generalized 888 1123 Direct product 891 1126 Direct product generalized 896 1127 Direct product generalized 897 1128 Direct product generalized 899 1129 Direct product generalized 903 1139 Direct product generalized 909 1144 Direct product generalized 925 1145 Direct product generalized 928 1147 Direct product generalized 930 1148 Direct product generalized 934 1155 Direct product generalized 938 1156 Direct product generalized 941 1157 Direct product generalized 942 1158 Direct product generalized 946 1159 Direct product generalized 949 1160 Direct product generalized 954 1161 Direct product generalized 958 1162 Direct product generalized 960 1163 Direct product generalized 963 1164 Direct product generalized 974 1165 Direct product generalized 975 1167 Direct product generalized 978 1168 Direct product generalized 989 1176 Direct product generalized 992 1179 Direct product generalized 993 1180 Direct product generalized 1015 1182 Direct product generalized 1016 1185 Direct product generalized 1028 1190 Direct product generalized 1040 1194 Direct product generalized 1046 1199 Direct product generalized 1066 1207 Direct product generalized 1082 1210 Direct product generalized 1128 1212 Direct product 1130 1216 Direct product generalized 1176 1217 Direct product 1248 1224 PCAxPCA 1344 1229 PCAxPCA 1536 1230 PCAxPCA 1632 1235 PCAxPCA 1728 1238 PCAxPCA 1734 1240 PCAxPCA 1824 1242 PCAxPCA 1836 1243 PCAxPCA 1944 1246 PCAxPCA 2197 1247 Direct product 2366 1252 Direct product 2704 1253 Direct product 2912 1258 Direct product 3328 1259 Direct product 3584 1264 Direct product 4096 1265 Direct product 4352 1270 Direct product 4608 1273 Direct product 4624 1275 Direct product 4864 1277 Direct product 4896 1278 Direct product 4913 1280 Direct product 5184 1281 Direct product 5202 1283 Direct product 5472 1285 Direct product 5508 1286 Direct product 6144 1289 Direct product 6160 1293 Direct product 6528 1294 Direct product 6544 1296 Direct product 6912 1297 Direct product 6936 1299 Direct product 7296 1301 Direct product 7344 1302 Direct product 7362 1304 Direct product 7776 1305 Direct product 7794 1308 Direct product 8208 1309 Direct product 8880 1312 Direct product 9200 1315 Direct product generalized 9432 1317 Direct product 9455 1319 Direct product generalized 9984 1320 Direct product 10350 1323 Direct product generalized 10536 1324 Direct product 10925 1327 Direct product generalized 11088 1328 Direct product 11500 1331 Direct product generalized 11520 1347 Direct product 11616 1349 Direct product 12000 1350 Direct product 12020 1351 Direct product generalized 12027 1367 Direct product generalized 12115 1368 Direct product generalized 12207 1369 Direct product generalized 12480 1370 Direct product generalized 12500 1371 Direct product generalized 12503 1372 Direct product generalized 12560 1373 Direct product generalized 12572 1382 Direct product generalized 12768 1383 Direct product 12912 1385 Direct product 13248 1386 Direct product 13392 1387 Direct product 13824 1388 Direct product 13848 1389 Direct product 14400 1391 Direct product 14424 1394 Direct product generalized 14976 1395 Direct product 15000 1397 Direct product generalized 15552 1398 Direct product 15555 1414 Direct product generalized 15624 1415 Direct product 15648 1416 Direct product 15816 1417 Direct product 16200 1418 Direct product 16281 1420 Direct product generalized 16374 1434 Direct product generalized 16496 1435 Direct product generalized 16654 1436 Direct product generalized 16809 1437 Direct product generalized 16858 1438 Direct product generalized 16892 1439 Direct product generalized 16936 1440 Direct product generalized 16956 1441 Direct product generalized 16967 1442 Direct product generalized 16983 1443 Direct product generalized 16986 1444 Direct product generalized 16987 1445 Direct product generalized 16994 1446 Direct product generalized 17010 1447 Direct product generalized 17013 1449 Direct product generalized 17014 1450 Direct product generalized 17030 1451 Direct product generalized 17160 1452 Direct product 17193 1453 Direct product generalized 17454 1454 Direct product generalized 17496 1455 Direct product 18030 1457 Direct product generalized 18135 1460 Direct product generalized 18144 1461 Direct product generalized 18171 1466 Direct product generalized 18180 1468 Direct product generalized 18216 1469 Direct product generalized 18243 1470 Direct product generalized 18252 1471 Direct product generalized 18297 1472 Direct product generalized 18336 1474 Direct product generalized 18515 1476 Direct product generalized 18867 1477 Direct product generalized 18975 1480 Direct product generalized 19030 1492 Direct product generalized 19090 1493 Direct product generalized 19117 1495 Direct product generalized 19187 1496 Direct product generalized 19204 1497 Direct product generalized 19467 1498 Direct product generalized 19491 1499 Direct product generalized 19602 1501 Direct product generalized 19656 1506 Direct product generalized 19695 1507 Direct product generalized 19791 1509 Direct product generalized 19845 1510 Direct product generalized 19904 1511 Direct product generalized 19920 1512 Direct product generalized 19980 1513 Direct product generalized 20000 1514 Direct product generalized

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