Table for CAN(3,k,21) 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,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 6 9261 orthogonal array (Ji-Yin) 24 12163 fuse symbols 26 15617 fuse symbols 28 19671 fuse symbols 48 22643 Chateauneuf-Kreher doubling 50 26137 Chateauneuf-Kreher doubling 52 26157 Chateauneuf-Kreher doubling 54 32031 Chateauneuf-Kreher doubling 56 32051 Chateauneuf-Kreher doubling 138 32537 Colbourn-Martirosyan-Trung-Walker 144 33062 Cohen-Colbourn-Ling 552 35439 fuse symbols 598 40895 fuse symbols 600 42163 fuse symbols 621 44993 fuse symbols 644 45015 fuse symbols 650 45617 fuse symbols 690 50187 Colbourn-Martirosyan-Trung-Walker 713 50209 Colbourn-Martirosyan-Trung-Walker 736 50231 Colbourn-Martirosyan-Trung-Walker 782 52607 Colbourn-Martirosyan-Trung-Walker 805 52629 Colbourn-Martirosyan-Trung-Walker 828 52651 Colbourn-Martirosyan-Trung-Walker 874 55203 Colbourn-Martirosyan-Trung-Walker 897 55225 Colbourn-Martirosyan-Trung-Walker 920 55247 Colbourn-Martirosyan-Trung-Walker 1104 55979 Chateauneuf-Kreher doubling 1152 58082 Cohen-Colbourn-Ling 1196 60565 Colbourn-Martirosyan-Trung-Walker 1200 61576 Cohen-Colbourn-Ling 1248 61596 Cohen-Colbourn-Ling 1250 65635 Chateauneuf-Kreher doubling 1288 65655 Chateauneuf-Kreher doubling 1300 66257 Chateauneuf-Kreher doubling 3174 66945 Colbourn-Martirosyan-Trung-Walker 3312 67470 Colbourn-Martirosyan-Trung-Walker 3456 68501 Cohen-Colbourn-Ling 10000 69847 fuse symbols

Graph: