Table for CAN(2,k,21) for k up to 20000

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,21) 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 7 441 orthogonal array 8 499 orthogonal array fuse fuse postop TJ-SA 9 501 orthogonal array fuse fuse postop TJ-SA 10 508 orthogonal array fuse fuse postop NCK 11 509 orthogonal array fuse fuse postop NCK 12 510 orthogonal array fuse fuse postop NCK 13 512 orthogonal array fuse fuse postop NCK 14 513 orthogonal array fuse fuse postop NCK 15 514 orthogonal array fuse fuse postop NCK 16 515 orthogonal array fuse fuse postop NCK 18 516 orthogonal array fuse fuse postop NCK 20 517 orthogonal array fuse fuse postop NCK 22 518 orthogonal array fuse fuse postop NCK 23 519 orthogonal array fuse fuse postop NCK 24 521 orthogonal array fuse fuse postop NCK 25 523 projection (C) postop NCK 26 526 projection (C) postop TJ-SA 27 598 projection (C) postop NCK 28 601 projection (C) postop NCK 29 605 projection (C) postop NCK 30 609 projection (C) postop NCK 31 677 projection (C) postop NCK 33 680 projection (C) postop NCK 34 683 projection (C) postop NCK 35 752 projection (C) postop NCK 36 754 projection (C) postop NCK 37 757 projection (C) postop NCK 38 761 projection (C) postop NCK 40 810 simulated annealing (Torres-Jimenez) 42 833 projection (C) postop NCK 54 847 Fix 7 symbols (LCDST) 55 861 Fix 7 symbols (LCDST) 56 875 Fix 7 symbols (LCDST) 57 889 Fix 7 symbols (LCDST) 144 902 Direct product 145 906 Direct product generalized 168 907 Direct product 175 928 Direct product generalized 182 946 PCAx2PCA 188 950 Direct product generalized 190 951 Direct product generalized 192 952 Direct product generalized 194 953 Direct product generalized 196 954 Direct product generalized 198 955 Direct product generalized 200 956 Direct product generalized 204 957 Direct product generalized 208 958 Direct product generalized 212 959 Direct product generalized 214 960 Direct product generalized 216 962 Direct product generalized 220 964 Direct product generalized 221 965 Direct product generalized 223 967 Direct product generalized 225 968 Direct product generalized 240 969 Direct product 241 970 Direct product generalized 264 971 Direct product 288 972 Direct product 312 973 Direct product 336 974 Direct product 360 975 Direct product 384 976 Direct product 432 977 Direct product 480 978 Direct product 528 979 Direct product 552 980 Direct product 553 981 Direct product generalized 576 982 Direct product 577 983 Direct product generalized 600 984 Direct product 601 986 Direct product generalized 624 987 Direct product 628 1006 Direct product generalized 633 1008 Direct product generalized 650 1009 Direct product generalized 657 1025 Direct product generalized 676 1027 Direct product 678 1039 Direct product generalized 680 1042 Direct product generalized 682 1046 Direct product generalized 684 1050 Direct product generalized 702 1051 Direct product generalized 708 1067 Direct product generalized 718 1068 Direct product generalized 722 1069 Direct product generalized 727 1070 Direct product generalized 728 1071 Direct product generalized 729 1087 Direct product generalized 734 1088 Direct product generalized 740 1089 Direct product generalized 749 1090 Direct product generalized 752 1091 Direct product generalized 754 1092 Direct product generalized 761 1107 Direct product generalized 767 1108 Direct product generalized 775 1109 Direct product generalized 780 1110 Direct product 782 1118 Direct product generalized 784 1121 Direct product generalized 786 1122 Direct product generalized 788 1124 Direct product generalized 796 1126 Direct product generalized 800 1127 Direct product generalized 803 1128 Direct product generalized 806 1129 Direct product generalized 810 1134 Direct product generalized 816 1144 Direct product 820 1148 Direct product generalized 822 1149 Direct product generalized 826 1150 Direct product generalized 830 1151 Direct product generalized 834 1152 Direct product generalized 839 1153 Direct product generalized 840 1154 Direct product generalized 841 1164 Direct product generalized 848 1165 Direct product generalized 853 1166 Direct product generalized 858 1167 Direct product generalized 865 1173 Direct product generalized 868 1174 Direct product generalized 870 1175 Direct product generalized 884 1184 Direct product 887 1191 Direct product generalized 895 1192 Direct product generalized 900 1193 Direct product generalized 905 1206 Direct product generalized 910 1207 Direct product generalized 918 1208 Direct product generalized 920 1209 Direct product generalized 924 1210 Direct product generalized 927 1211 Direct product generalized 930 1212 Direct product generalized 931 1224 Direct product generalized 941 1225 Direct product generalized 946 1226 Direct product generalized 951 1227 Direct product generalized 952 1228 Direct product generalized 954 1233 Direct product generalized 957 1234 Direct product generalized 958 1235 Direct product generalized 960 1236 Direct product generalized 969 1246 Direct product generalized 981 1247 Direct product generalized 984 1248 Direct product generalized 986 1249 Direct product generalized 990 1250 Direct product generalized 996 1264 Direct product generalized 1007 1265 Direct product generalized 1015 1266 Direct product generalized 1020 1267 Direct product generalized 1021 1281 Direct product generalized 1029 1282 Direct product generalized 1041 1283 Direct product generalized 1048 1284 Direct product generalized 1051 1285 Direct product generalized 1054 1286 Direct product generalized 1055 1303 Direct product generalized 1063 1304 Direct product generalized 1070 1305 Direct product generalized 1075 1306 Direct product generalized 1080 1307 Direct product generalized 1085 1308 Direct product generalized 1086 1309 Direct product generalized 1088 1310 Direct product generalized 1100 1321 Direct product generalized 1296 1322 Direct product 1297 1335 Direct product generalized 1320 1336 Direct product 1335 1343 Direct product generalized 1357 1344 Direct product generalized 1395 1348 Direct product generalized 1404 1352 Direct product 1406 1353 Direct product generalized 1410 1358 Direct product generalized 1432 1362 Direct product generalized 3456 1363 Direct product 3475 1367 Direct product generalized 3912 1368 Direct product 4025 1369 Direct product generalized 4032 1373 Direct product 4039 1389 Direct product generalized 4207 1390 Direct product generalized 4221 1395 Direct product generalized 4344 1407 PCAx2PCA 4368 1408 Direct product 4449 1411 Direct product generalized 4489 1412 Direct product generalized 4535 1413 Direct product generalized 4581 1414 Direct product generalized 4627 1415 Direct product generalized 4794 1416 Direct product generalized 4818 1417 Direct product generalized 4916 1418 Direct product generalized 5018 1419 Direct product generalized 5122 1420 Direct product generalized 5222 1421 Direct product generalized 5230 1422 Direct product generalized 5280 1423 Direct product generalized 5284 1424 Direct product generalized 5334 1425 Direct product generalized 5342 1426 Direct product generalized 5348 1427 Direct product generalized 5349 1428 Direct product generalized 5401 1429 Direct product generalized 5568 1430 Direct product 5760 1431 Direct product 6120 1432 Direct product 6672 1433 Direct product 7224 1434 Direct product 7776 1435 Direct product 8640 1436 Direct product 8880 1437 Direct product 9984 1438 Direct product 11088 1439 Direct product 12192 1440 Direct product 13248 1441 Direct product 13272 1442 Direct product generalized 13824 1443 Direct product 13848 1444 Direct product generalized 14400 1445 Direct product 14424 1448 Direct product generalized 14976 1449 Direct product 14978 1466 Direct product generalized 15072 1467 Direct product generalized 15078 1468 Direct product generalized 15192 1469 Direct product 15600 1470 Direct product 15678 1471 Direct product generalized 15824 1486 Direct product generalized 15852 1487 Direct product generalized 15923 1488 Direct product generalized 16224 1489 Direct product 16434 1490 Direct product generalized 16441 1491 Direct product generalized 16534 1492 Direct product generalized 16536 1493 Direct product generalized 16564 1508 Direct product generalized 16900 1510 Direct product 17084 1511 Direct product generalized 17098 1512 Direct product generalized 17194 1513 Direct product generalized 17211 1514 Direct product generalized 17212 1515 Direct product generalized 17281 1527 Direct product generalized 17576 1529 Direct product 17680 1530 Direct product generalized 17681 1531 Direct product generalized 17768 1532 Direct product generalized 17838 1533 Direct product generalized 17880 1534 Direct product generalized 17888 1535 Direct product generalized 17902 1548 Direct product generalized 18040 1551 Direct product generalized 18226 1552 Direct product 18367 1553 Direct product generalized 18470 1554 Direct product generalized 18541 1555 Direct product generalized 18564 1556 Direct product generalized 18578 1569 Direct product generalized 18739 1570 Direct product generalized 18823 1571 Direct product generalized 18935 1572 Direct product generalized 18968 1573 Direct product generalized 19141 1574 Direct product generalized 19158 1575 Direct product generalized 19248 1576 Direct product generalized 19260 1587 Direct product generalized 19304 1589 Direct product generalized 19376 1590 Direct product generalized 19461 1591 Direct product generalized 19509 1592 Direct product generalized 19573 1593 Direct product generalized 19762 1594 Direct product generalized 19838 1595 Direct product generalized 19856 1596 Direct product generalized 19943 1597 Direct product generalized 19944 1598 Direct product generalized 19964 1607 Direct product generalized 19976 1608 Direct product generalized 20000 1609 Direct product generalized
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