Table for CAN(2,k,22) for k up to 20000

Last Updated Wed Jan 4 20:01:55 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;2,k,22) 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 5 484 orthogonal array 6 487 Incomplete Transversal Design 7 506 Holey Transversal Design 8 519 orthogonal array postop NCK 10 521 orthogonal array postop TJ-SA 11 522 orthogonal array postop TJ-SA 13 523 orthogonal array postop NCK 16 524 orthogonal array postop TJ-SA 21 525 orthogonal array postop TJ-SA 24 526 orthogonal array fuse 25 528 projection (C) 26 609 projection (C) postop NCK 27 611 projection (C) postop NCK 28 613 projection (C) postop NCK 29 617 projection (C) postop TJ-SA 30 691 projection (C) postop NCK 31 696 projection (C) postop NCK 32 698 projection (C) postop NCK 33 699 projection (C) postop NCK 34 777 projection (C) postop NCK 35 779 projection (C) postop NCK 36 783 projection (C) postop NCK 37 785 projection (C) postop NCK 38 857 projection (C) postop NCK 39 860 projection (C) postop NCK 40 862 projection (C) postop NCK 41 868 projection (C) postop NCK 42 905 projection (C) postop NCK 43 912 projection (C) postop NCK 44 925 Fix 1 symbols (LCDST) 54 940 Fix 6 symbols (LCDST) 57 946 Fix 7 symbols (LCDST) 58 961 Fix 7 symbols (LCDST) 60 967 simulated annealing (Torres-Jimenez) 120 968 Direct product 121 969 Direct product generalized 144 972 Direct product 145 973 Direct product generalized 169 990 Direct product generalized 171 994 Direct product generalized 192 1004 Direct product 209 1005 simulated annealing (Torres-Jimenez) 264 1006 Direct product generalized 288 1007 Direct product generalized 347 1008 simulated annealing (Torres-Jimenez) 504 1009 Direct product generalized 557 1010 simulated annealing (Torres-Jimenez) 577 1011 Direct product generalized 601 1012 Direct product generalized 624 1033 Direct product generalized 625 1034 Direct product 650 1054 Direct product 653 1077 Direct product generalized 675 1078 Direct product generalized 678 1097 Direct product generalized 693 1098 Direct product generalized 700 1099 Direct product generalized 709 1118 Direct product generalized 725 1119 Direct product generalized 734 1122 Direct product generalized 737 1123 Direct product generalized 741 1137 Direct product generalized 745 1139 Direct product generalized 750 1140 Direct product generalized 754 1143 Direct product 756 1159 Direct product generalized 767 1160 Direct product generalized 772 1161 Direct product generalized 775 1162 Direct product generalized 783 1167 Direct product generalized 792 1184 Direct product 798 1186 Direct product generalized 805 1187 Direct product generalized 812 1188 Direct product generalized 825 1205 Direct product 841 1208 Direct product generalized 853 1211 Direct product generalized 857 1220 Direct product generalized 861 1225 Direct product generalized 865 1226 Direct product generalized 869 1228 Direct product generalized 870 1229 Direct product generalized 872 1242 Direct product generalized 877 1246 Direct product generalized 879 1247 Direct product generalized 886 1248 Direct product generalized 894 1249 Direct product generalized 896 1250 Direct product generalized 899 1251 Direct product generalized 900 1265 Direct product generalized 909 1269 Direct product generalized 917 1270 Direct product generalized 924 1271 Direct product generalized 926 1275 Direct product generalized 928 1276 Direct product generalized 941 1289 Direct product generalized 957 1291 Direct product generalized 969 1294 Direct product generalized 973 1305 Direct product generalized 977 1307 Direct product generalized 985 1311 Direct product generalized 990 1312 Direct product generalized 991 1329 Direct product generalized 998 1330 Direct product generalized 1007 1331 Direct product generalized 1018 1332 Direct product generalized 1020 1333 Direct product generalized 1023 1334 Direct product generalized 1027 1351 Direct product generalized 1034 1352 Direct product generalized 1040 1353 Direct product generalized 1044 1354 Direct product generalized 1045 1356 Direct product generalized 1050 1357 Direct product generalized 1054 1358 Direct product generalized 1056 1359 Direct product generalized 1057 1374 Direct product generalized 1058 1375 Direct product generalized 1073 1376 Direct product generalized 1089 1377 PCAxPCA 1093 1388 Direct product generalized 1097 1390 Direct product generalized 1099 1395 Direct product generalized 1108 1396 Direct product generalized 1113 1397 Direct product generalized 1119 1398 Direct product generalized 1120 1399 Direct product generalized 1122 1400 Direct product generalized 1128 1414 Direct product generalized 1138 1415 Direct product generalized 1145 1416 Direct product generalized 1151 1417 Direct product generalized 1154 1418 Direct product generalized 1155 1419 Direct product generalized 1157 1432 Direct product generalized 1158 1433 Direct product generalized 1174 1434 Direct product generalized 1179 1435 Direct product generalized 1184 1436 Direct product generalized 1188 1437 Direct product generalized 1296 1440 Direct product 1350 1446 Direct product 1368 1450 Direct product 1428 1451 Direct product generalized 2875 1452 Direct product generalized 2904 1453 Direct product 2923 1455 Direct product generalized 3450 1456 Direct product generalized 3480 1457 Direct product 3504 1473 Direct product generalized 4056 1474 Direct product 4129 1479 Direct product generalized 4600 1488 Direct product generalized 4678 1489 Direct product generalized 6325 1490 Direct product generalized 6900 1491 Direct product generalized 8366 1492 Direct product generalized 12075 1493 Direct product generalized 13225 1494 Direct product generalized 13826 1495 Direct product generalized 14424 1496 Direct product 14447 1516 Direct product generalized 15045 1517 Direct product generalized 15122 1518 Direct product generalized 15629 1538 Direct product generalized 15679 1539 Direct product generalized 15725 1540 Direct product generalized 16225 1559 Direct product generalized 16275 1560 Direct product generalized 16300 1561 Direct product generalized 16350 1562 Direct product generalized 16900 1580 Direct product 16928 1583 Direct product generalized 16975 1584 Direct product generalized 16984 1596 Direct product generalized 16987 1599 Direct product generalized 17184 1602 Direct product generalized 17819 1603 Direct product generalized 17845 1604 Direct product generalized 18025 1606 Direct product generalized 18509 1624 Direct product generalized 18525 1625 Direct product generalized 18709 1627 Direct product generalized 18725 1628 Direct product generalized 18752 1640 Direct product generalized 18761 1643 Direct product generalized 19250 1645 Direct product generalized 19304 1646 Direct product generalized 19400 1647 Direct product generalized 19525 1648 Direct product generalized 19600 1649 Direct product generalized 19652 1668 Direct product generalized 20000 1669 Direct product generalized

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