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

Last Updated Sat Feb 22 09:21:55 MST 2014

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 7 429 orthogonal array fuse postop TJ-SA 10 437 Add a symbol (binary) 11 446 Add a symbol (binary) 12 452 Add a symbol (binary) 15 456 Add a symbol (binary) 16 461 Add a symbol (binary) 17 464 Add a symbol (binary) 19 465 Add a symbol (binary) 20 475 Add a symbol (binary) 21 506 orthogonal array fuse fuse fuse postop NCK 22 507 orthogonal array fuse fuse fuse postop NCK 23 508 orthogonal array fuse fuse fuse postop NCK 24 511 orthogonal array fuse fuse fuse postop NCK 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) 60 817 PCAxPCA 66 826 PCAxPCA 72 832 PCAxPCA 90 836 PCAxPCA 144 838 Direct product 150 860 Direct product generalized 154 865 Add a symbol (binary) 156 866 Add a symbol (binary) 160 867 Add a symbol (binary) 162 868 Add a symbol (binary) 167 869 Add a symbol (binary) 175 870 Add a symbol (binary) 177 871 Add a symbol (binary) 181 872 Add a symbol (binary) 190 873 Add a symbol (binary) 210 874 Add a symbol (binary) 240 876 Direct product 246 880 Add a symbol (binary) 256 881 Add a symbol (binary) 268 882 Add a symbol (binary) 276 883 Add a symbol (binary) 288 884 Add a symbol (binary) 303 885 Add a symbol (binary) 321 886 Add a symbol (binary) 336 887 Add a symbol (binary) 380 893 Add a symbol (binary) 384 900 Direct product 385 902 Direct product generalized 408 903 Direct product 456 904 Direct product 475 925 Direct product generalized 480 932 Direct product 484 943 Direct product generalized 489 944 Direct product generalized 504 945 Direct product 552 946 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 1177 1230 Direct product generalized 1200 1231 Direct product 1228 1239 Direct product generalized 1296 1244 Direct product 1440 1255 Direct product 1449 1258 Direct product generalized 1479 1259 Direct product generalized 1536 1261 PCAxPCA 1608 1262 PCAxPCA 1656 1263 PCAxPCA 1728 1264 PCAxPCA 1818 1265 PCAxPCA 1926 1266 PCAxPCA 2016 1267 PCAxPCA 2280 1273 PCAxPCA 3360 1276 Direct product 3456 1277 Direct product 3462 1297 Direct product generalized 3600 1298 Direct product 3618 1300 Direct product generalized 3912 1309 Direct product 4025 1312 Direct product generalized 4032 1313 Direct product 5568 1314 Direct product 5750 1317 Direct product generalized 6120 1323 Direct product 6325 1326 Direct product generalized 6672 1329 Direct product 6900 1332 Direct product generalized 8328 1333 Direct product 8625 1336 Direct product generalized 8880 1338 Direct product 8903 1340 Direct product generalized 9432 1341 Direct product 10536 1342 Direct product 10925 1345 Direct product generalized 10944 1361 Direct product 10963 1363 Direct product generalized 11400 1364 Direct product 11419 1365 Direct product generalized 11500 1373 Direct product generalized 11502 1382 Direct product generalized 11640 1383 Direct product 12744 1384 Direct product 13248 1386 Direct product 13296 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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