Table for CAN(2,k,20) 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,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 7 438 fuse symbols 8 513 derive from 3-CA 24 522 orthogonal array 25 524 fuse symbols 26 525 fuse symbols 27 526 projection (Colbourn) 28 617 fuse symbols 29 618 fuse symbols 30 619 fuse symbols 31 620 projection (Colbourn) 32 719 fuse symbols 33 720 fuse symbols 34 721 fuse symbols 35 722 projection (Colbourn) 39 742 group 1-rotational (Meagher-Stevens, Colbourn) 40 761 group 1-rotational (Meagher-Stevens, Colbourn) 41 780 group 1-rotational (Meagher-Stevens, Colbourn) 42 799 group 1-rotational (Meagher-Stevens, Colbourn) 43 818 group 1-rotational (Meagher-Stevens, Colbourn) 44 837 group 1-rotational (Meagher-Stevens, Colbourn) 48 856 CMMSSY 2.2 49 877 CMMSSY 2.2 144 902 CMMSSY 2.2 150 904 CMMSSY 2.2 156 905 CMMSSY 2.2 162 906 CMMSSY 2.2 167 940 CMMSSY 2.2 175 942 CMMSSY 2.2 182 943 CMMSSY 2.2 189 944 CMMSSY 2.2 200 1017 CMMSSY 2.2 208 1018 CMMSSY 2.2 216 1019 CMMSSY 2.2 575 1024 CMMSSY 2.2 600 1026 CMMSSY 2.2 624 1027 CMMSSY 2.2 648 1028 CMMSSY 2.2 650 1029 CMMSSY 2.2 676 1030 CMMSSY 2.2 702 1031 CMMSSY 2.2 729 1032 CMMSSY 2.2 744 1122 CMMSSY 2.2 756 1123 CMMSSY 2.2 783 1124 CMMSSY 2.2 810 1125 CMMSSY 2.2 837 1126 CMMSSY 2.2 841 1216 CMMSSY 2.2 870 1217 CMMSSY 2.2 900 1218 CMMSSY 2.2 930 1219 CMMSSY 2.2 961 1220 CMMSSY 2.2 975 1246 CMMSSY 2.2 1014 1247 CMMSSY 2.2 1053 1248 CMMSSY 2.2 1080 1267 CMMSSY 2.2 1107 1286 CMMSSY 2.2 1134 1305 CMMSSY 2.2 1161 1324 CMMSSY 2.2 1170 1341 CMMSSY 2.2 1209 1342 CMMSSY 2.2 1248 1361 CMMSSY 2.2 1323 1362 CMMSSY 2.2 3450 1404 CMMSSY 2.2 3600 1406 CMMSSY 2.2 3744 1407 CMMSSY 2.2 3888 1408 CMMSSY 2.2 3900 1409 CMMSSY 2.2 4056 1410 CMMSSY 2.2 4212 1411 CMMSSY 2.2 4374 1412 CMMSSY 2.2 4536 1446 CMMSSY 2.2 4550 1447 CMMSSY 2.2 4732 1448 CMMSSY 2.2 4914 1449 CMMSSY 2.2 5103 1450 CMMSSY 2.2 5184 1521 CMMSSY 2.2 5200 1522 CMMSSY 2.2 5408 1523 CMMSSY 2.2 5616 1524 CMMSSY 2.2 5832 1525 CMMSSY 2.2 13754 1526 CMMSSY 2.2 14375 1528 CMMSSY 2.2 14950 1529 CMMSSY 2.2 15552 1530 CMMSSY 2.2 15600 1531 CMMSSY 2.2 16224 1532 CMMSSY 2.2 16848 1533 CMMSSY 2.2 17496 1534 CMMSSY 2.2 17576 1535 CMMSSY 2.2 18252 1536 CMMSSY 2.2 18954 1537 CMMSSY 2.2 19683 1538 CMMSSY 2.2 20000 1628 CMMSSY 2.2

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