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

Last Updated Wed Oct 21 20:46:11 MST 2009

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

24 522 orthogonal array fuse fuse postop NCK

25 525 projection (Colbourn) fuse postop NCK

26 527 projection (Colbourn)

27 601 projection (Colbourn) fuse fuse fuse postop NCK

28 606 projection (Colbourn) fuse fuse postop NCK

29 608 projection (Colbourn) fuse postop NCK

30 614 projection (Colbourn) postop NCK

31 687 projection (Colbourn) fuse fuse fuse postop NCK

32 690 projection (Colbourn) fuse fuse postop NCK

33 692 projection (Colbourn) fuse postop NCK

34 694 projection (Colbourn) postop NCK

35 764 projection (Colbourn) fuse fuse fuse postop NCK

36 769 projection (Colbourn) fuse fuse postop NCK

37 772 projection (Colbourn) fuse postop NCK

38 778 projection (Colbourn) postop NCK

39 839 projection (Colbourn) fuse fuse fuse postop NCK

42 841 group 1-rotational (Meagher-Stevens, Colbourn)

48 861 CMMSSY 2.3

49 881 CMMSSY 2.2

146 942 CMMSSY 2.3

167 944 CMMSSY 2.2

182 947 CMMSSY 2.2

554 1025 CMMSSY 2.2

624 1028 CMMSSY 2.2

650 1031 CMMSSY 2.2

676 1033 CMMSSY 2.2

702 1107 CMMSSY 2.2

728 1112 CMMSSY 2.2

754 1114 CMMSSY 2.2

780 1120 CMMSSY 2.2

806 1193 CMMSSY 2.2

832 1196 CMMSSY 2.2

858 1198 CMMSSY 2.2

884 1200 CMMSSY 2.2

900 1214 CMMSSY 2.2

910 1270 CMMSSY 2.2

936 1275 CMMSSY 2.2

962 1278 CMMSSY 2.2

988 1284 CMMSSY 2.2

990 1292 CMMSSY 2.2

1020 1294 CMMSSY 2.2

1027 1345 CMMSSY 2.2

1092 1347 CMMSSY 2.2

1146 1364 CMMSSY 2.2

1274 1367 CMMSSY 2.3

3460 1443 CMMSSY 2.2

3502 1445 CMMSSY 2.2

3604 1446 CMMSSY 2.2

3979 1447 CMMSSY 2.2

4368 1448 CMMSSY 2.3

4550 1451 CMMSSY 2.3

4732 1453 CMMSSY 2.2

4914 1527 CMMSSY 2.3

12788 1528 CMMSSY 2.2

14976 1529 CMMSSY 2.2

15600 1532 CMMSSY 2.2

16224 1534 CMMSSY 2.2

16250 1535 CMMSSY 2.2

16900 1537 CMMSSY 2.2

17576 1539 CMMSSY 2.2

18252 1613 CMMSSY 2.2

18928 1618 CMMSSY 2.2

19604 1620 CMMSSY 2.2

20000 1626 CMMSSY 2.2

Graph: