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

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 orthogonal array 5 10890 Li-Ji-Yin 6 11132 Ji-Yin 24 12165 fuse symbols 26 15619 fuse symbols 28 19673 fuse symbols 48 23211 Chateauneuf-Kreher doubling 50 26707 Chateauneuf-Kreher doubling 52 28597 Chateauneuf-Kreher doubling 54 32693 Chateauneuf-Kreher doubling 56 32714 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 fuse symbols 598 40897 fuse symbols 600 42165 fuse symbols 621 44995 fuse symbols 644 45017 fuse symbols 650 45619 fuse symbols 690 50755 Colbourn-Martirosyan-Trung-Walker 713 50777 Colbourn-Martirosyan-Trung-Walker 736 50799 Colbourn-Martirosyan-Trung-Walker 782 53175 Colbourn-Martirosyan-Trung-Walker 805 53197 Colbourn-Martirosyan-Trung-Walker 828 53219 Colbourn-Martirosyan-Trung-Walker 874 55771 Colbourn-Martirosyan-Trung-Walker 897 55793 Colbourn-Martirosyan-Trung-Walker 920 55815 Colbourn-Martirosyan-Trung-Walker 1104 57071 Chateauneuf-Kreher doubling 1152 58652 Cohen-Colbourn-Ling 1200 62148 Cohen-Colbourn-Ling 1248 64038 Cohen-Colbourn-Ling 1250 66731 Chateauneuf-Kreher doubling 1288 67122 Colbourn-Martirosyan-Trung-Walker 1296 68134 Cohen-Colbourn-Ling 1344 68155 Cohen-Colbourn-Ling 2116 68332 Colbourn-Martirosyan-Trung-Walker 2645 68574 Colbourn-Martirosyan-Trung-Walker 3174 68816 Colbourn-Martirosyan-Trung-Walker 3312 69343 Colbourn-Martirosyan-Trung-Walker 10000 69849 fuse symbols

Graph: