Table for CAN(3,k,22) for k up to 10000

Last Updated Sat Nov 14 06:41:39 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,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 4 10648 Derive from strength 4 5 10890 Li-Ji-Yin 6 11132 Ji-Yin 24 12165 orthogonal array fuse 26 15564 orthogonal array fuse fuse fuse postop NCK 28 19673 orthogonal array fuse fuse fuse fuse fuse 48 23211 Chateauneuf-Kreher doubling 50 26652 Chateauneuf-Kreher doubling 52 28374 Chateauneuf-Kreher doubling 54 32567 Chateauneuf-Kreher doubling 56 32630 Chateauneuf-Kreher doubling 92 33924 Colbourn-Martirosyan-Trung-Walker 115 34166 Colbourn-Martirosyan-Trung-Walker 138 34408 Colbourn-Martirosyan-Trung-Walker 144 34935 Cohen-Colbourn-Ling 552 35441 Colbourn-Martirosyan-Trung-Walker fuse 598 40798 Colbourn-Martirosyan-Trung-Walker 600 42165 Colbourn-Martirosyan-Trung-Walker fuse 621 44973 Colbourn-Martirosyan-Trung-Walker fuse 644 45017 Colbourn-Martirosyan-Trung-Walker fuse 650 45564 Colbourn-Martirosyan-Trung-Walker 667 50447 Colbourn-Martirosyan-Trung-Walker 690 50491 Colbourn-Martirosyan-Trung-Walker 713 50601 Colbourn-Martirosyan-Trung-Walker 736 50645 Colbourn-Martirosyan-Trung-Walker 2312 50864 Cyclotomy (Colbourn) 2333 51326 Cyclotomy (Colbourn) 2708 59554 Cyclotomy (Colbourn) 2729 60038 Cyclotomy (Colbourn) 2862 62964 Cyclotomy (Colbourn) 2927 64394 Cyclotomy (Colbourn) 2972 65384 Cyclotomy (Colbourn) 3037 66814 Cyclotomy (Colbourn) 3174 68816 Colbourn-Martirosyan-Trung-Walker 3312 69343 Colbourn-Martirosyan-Trung-Walker 10000 69849 Colbourn-Martirosyan-Trung-Walker fuse

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