Table for CAN(3,k,20) 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,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 Chateauneuf-Kreher Const D 8 9899 Chateauneuf-Kreher Const D 9 10279 Chateauneuf-Kreher Const D 10 10659 Chateauneuf-Kreher Const D 11 11039 Chateauneuf-Kreher Const D 12 11419 Chateauneuf-Kreher Const D 13 11799 Chateauneuf-Kreher Const D 24 12161 fuse symbols 26 15615 fuse symbols 28 19669 fuse symbols 48 22079 Chateauneuf-Kreher doubling 50 25571 Chateauneuf-Kreher doubling 52 25590 Chateauneuf-Kreher doubling 54 29663 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 31799 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 35437 fuse symbols 598 40893 fuse symbols 600 42161 fuse symbols 621 44991 fuse symbols 644 45013 fuse symbols 650 45615 fuse symbols 690 49623 Colbourn-Martirosyan-Trung-Walker 713 49645 Colbourn-Martirosyan-Trung-Walker 736 49667 Colbourn-Martirosyan-Trung-Walker 782 52043 Colbourn-Martirosyan-Trung-Walker 805 52065 Colbourn-Martirosyan-Trung-Walker 828 52087 Colbourn-Martirosyan-Trung-Walker 874 54639 Colbourn-Martirosyan-Trung-Walker 897 54661 Colbourn-Martirosyan-Trung-Walker 920 54683 Colbourn-Martirosyan-Trung-Walker 1104 54893 Chateauneuf-Kreher doubling 1152 57516 Cohen-Colbourn-Ling 1196 59998 Colbourn-Martirosyan-Trung-Walker 1200 61008 Cohen-Colbourn-Ling 1248 61027 Cohen-Colbourn-Ling 1288 64545 Chateauneuf-Kreher doubling 1380 64705 Colbourn-Martirosyan-Trung-Walker 1518 65085 Colbourn-Martirosyan-Trung-Walker 1656 65465 Colbourn-Martirosyan-Trung-Walker 3174 65684 Colbourn-Martirosyan-Trung-Walker 3312 66207 Cohen-Colbourn-Ling 3703 67203 Colbourn-Martirosyan-Trung-Walker 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 69845 fuse symbols

Graph: