Table for CAN(2,k,24) 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,24) 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 9 576 orthogonal array 11 618 orthogonal array fuse postop NCK 14 619 orthogonal array fuse postop NCK 17 620 orthogonal array fuse postop NCK 22 621 orthogonal array fuse postop TJ-SA 26 622 orthogonal array fuse 27 624 projection (C) 28 713 projection (C) postop NCK 29 716 projection (C) postop NCK 30 718 projection (C) postop NCK 31 722 projection (C) postop TJ-SA 32 806 projection (C) postop NCK 33 810 projection (C) postop NCK 34 812 projection (C) postop TJ-SA 35 814 projection (C) postop TJ-SA 37 896 projection (C) postop NCK 38 904 projection (C) postop NCK 39 907 projection (C) postop NCK 40 951 projection (C) postop NCK 41 955 projection (C) postop NCK 42 1092 Add a symbol (binary) 81 1128 Direct product 209 1152 Direct product generalized 234 1160 Direct product generalized 235 1170 Direct product generalized 243 1176 Direct product 261 1185 Direct product generalized 263 1194 Direct product generalized 342 1195 Direct product generalized 447 1196 Direct product generalized 575 1197 Direct product generalized 651 1198 Direct product generalized 677 1199 Direct product generalized 703 1200 Direct product generalized 728 1223 Direct product generalized 729 1224 Direct product 756 1246 Direct product 765 1288 Direct product generalized 773 1289 Direct product generalized 778 1290 Direct product generalized 781 1291 Direct product generalized 798 1292 Direct product generalized 806 1293 Direct product generalized 809 1294 Direct product generalized 810 1295 Direct product generalized 811 1317 Direct product generalized 813 1318 Direct product generalized 836 1321 Direct product generalized 837 1322 Direct product 840 1340 Direct product 841 1343 Direct product generalized 868 1344 Direct product 870 1382 Direct product generalized 877 1383 Direct product generalized 884 1384 Direct product generalized 890 1385 Direct product generalized 899 1386 Direct product generalized 907 1387 Direct product generalized 911 1388 Direct product generalized 917 1389 Direct product generalized 924 1390 Direct product generalized 927 1391 Direct product generalized 929 1392 Direct product generalized 930 1393 Direct product generalized 944 1413 Direct product generalized 945 1414 Direct product 961 1420 Direct product 980 1436 Direct product 989 1475 Direct product generalized 996 1476 Direct product generalized 1005 1477 Direct product generalized 1008 1478 Direct product generalized 1014 1479 Direct product generalized 1025 1480 Direct product generalized 1034 1481 Direct product generalized 1043 1482 Direct product generalized 1047 1483 Direct product generalized 1049 1484 Direct product generalized 1050 1485 Direct product generalized 1054 1490 Direct product generalized 1055 1507 Direct product generalized 1057 1511 Direct product generalized 1085 1512 Direct product 1092 1529 Direct product 1106 1554 Direct product generalized 1107 1555 Direct product 1110 1565 Direct product generalized 1116 1566 Direct product generalized 1118 1567 Direct product generalized 1121 1568 Direct product generalized 1125 1569 Direct product generalized 1127 1570 Direct product generalized 1133 1571 Direct product generalized 1144 1572 Direct product generalized 1149 1573 Direct product generalized 1156 1574 Direct product generalized 1164 1575 Direct product generalized 1167 1576 Direct product generalized 1169 1577 Direct product generalized 1170 1578 Direct product generalized 1180 1580 Direct product generalized 1184 1581 Direct product generalized 1190 1582 Direct product generalized 1195 1602 Direct product generalized 1196 1603 Direct product generalized 1225 1604 Direct product 1226 1621 Direct product generalized 1234 1622 Direct product generalized 1238 1623 Direct product generalized 1240 1624 Direct product generalized 1241 1650 Direct product generalized 1243 1651 Direct product generalized 1271 1653 Direct product 1279 1664 Direct product generalized 1289 1665 Direct product generalized 1291 1666 Direct product generalized 1295 1667 Direct product generalized 1303 1669 Direct product generalized 1313 1670 Direct product generalized 1320 1671 Direct product generalized 1324 1672 Direct product generalized 1329 1673 Direct product generalized 1330 1674 Direct product generalized 1334 1694 Direct product generalized 1335 1695 Direct product generalized 1341 1696 Direct product generalized 1365 1697 Direct product 1881 1704 Direct product 2066 1707 Direct product generalized postop TJ-SA 2106 1713 Direct product 2115 1722 Direct product 2234 1727 Direct product generalized 5434 1728 Direct product 6075 1736 Direct product generalized 6085 1745 Direct product generalized 6110 1746 Direct product 6118 1751 Direct product generalized 6327 1752 PCAx2PCA 6655 1761 Direct product generalized 6823 1769 Direct product generalized 6900 1770 Direct product generalized 8975 1771 Direct product generalized 11725 1772 Direct product generalized 15000 1773 Direct product generalized 16925 1774 Direct product generalized 17600 1775 Direct product generalized 18278 1776 Direct product 18303 1798 Direct product generalized 19003 1799 Direct product generalized 19086 1800 Direct product generalized 19687 1822 Direct product generalized 19740 1823 Direct product generalized 19764 1824 Direct product generalized 20000 1845 Direct product generalized

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