Table for CAN(3,k,20) for k up to 10000

Last Updated Tue Nov 3 13:33:54 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;3,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 8000 orthogonal array (Ji-Yin) 7 9519 Add a symbol (Chateauneuf-Kreher) 8 9899 Add a symbol (Chateauneuf-Kreher) 9 10279 Add a symbol (Chateauneuf-Kreher) 10 10659 Add a symbol (Chateauneuf-Kreher) 11 11039 Add a symbol (Chateauneuf-Kreher) 12 11419 Add a symbol (Chateauneuf-Kreher) 13 11799 Add a symbol (Chateauneuf-Kreher) 24 12058 orthogonal array fuse fuse fuse postop NCK 26 15560 orthogonal array fuse fuse fuse postop NCK fuse fuse 28 19669 orthogonal array fuse fuse fuse fuse fuse fuse fuse 48 21824 Chateauneuf-Kreher doubling 50 25383 Chateauneuf-Kreher doubling 52 25440 Chateauneuf-Kreher doubling 54 29606 Chateauneuf-Kreher doubling 60 30297 Cohen-Colbourn-Ling 66 30677 Cohen-Colbourn-Ling 72 31057 Cohen-Colbourn-Ling 138 31276 Colbourn-Martirosyan-Trung-Walker 144 31696 Cohen-Colbourn-Ling 161 32795 Colbourn-Martirosyan-Trung-Walker 184 33175 Colbourn-Martirosyan-Trung-Walker 207 33555 Colbourn-Martirosyan-Trung-Walker 230 33935 Colbourn-Martirosyan-Trung-Walker 253 34315 Colbourn-Martirosyan-Trung-Walker 276 34695 Colbourn-Martirosyan-Trung-Walker 299 35075 Colbourn-Martirosyan-Trung-Walker 552 35334 Colbourn-Martirosyan-Trung-Walker 1802 36040 Cyclotomy (Colbourn) 1861 37220 Cyclotomy (Colbourn) 2142 42840 Cyclotomy (Colbourn) 2162 43220 Cyclotomy (Colbourn) 2221 44420 Cyclotomy (Colbourn) 2342 46820 Cyclotomy (Colbourn) 2381 47620 Cyclotomy (Colbourn) 2522 50440 Cyclotomy (Colbourn) 2621 52420 Cyclotomy (Colbourn) 2732 57370 Cyclotomy (Colbourn) fuse 2857 59995 Cyclotomy (Colbourn) fuse 3002 60020 Cyclotomy (Colbourn) 3041 60820 Cyclotomy (Colbourn) 3604 62412 Chateauneuf-Kreher doubling 3722 63592 Chateauneuf-Kreher doubling 4232 67583 Colbourn-Martirosyan-Trung-Walker 4761 67963 Colbourn-Martirosyan-Trung-Walker 5290 68343 Colbourn-Martirosyan-Trung-Walker 5819 68723 Colbourn-Martirosyan-Trung-Walker 6348 69103 Colbourn-Martirosyan-Trung-Walker 6877 69483 Colbourn-Martirosyan-Trung-Walker 10000 69742 Colbourn-Martirosyan-Trung-Walker

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