Table for CAN(4,k,7) 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;4,k,7) 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 8 2401 orthogonal array 9 4095 fuse symbols 18 4795 Sherwood-Martirosyan-Colbourn, Walker 30 7189 Sherwood-Martirosyan-Colbourn, Walker 54 9583 Sherwood-Martirosyan-Colbourn, Walker 56 11269 Colbourn-Martirosyan-Trung-Walker 60 13664 Colbourn-Martirosyan-Trung-Walker 63 14049 Colbourn-Martirosyan-Trung-Walker 70 15967 Colbourn-Martirosyan-Trung-Walker 112 16897 Colbourn-Martirosyan-Trung-Walker 126 17149 Colbourn-Martirosyan-Trung-Walker 210 19543 Colbourn-Martirosyan-Trung-Walker 224 21937 Colbourn-Martirosyan-Trung-Walker 343 23449 Colbourn-Martirosyan-Trung-Walker 350 24037 Colbourn-Martirosyan-Trung-Walker 378 24441 Colbourn-Martirosyan-Trung-Walker 392 26127 Colbourn-Martirosyan-Trung-Walker 406 29026 Colbourn-Martirosyan-Trung-Walker 420 29692 Colbourn-Martirosyan-Trung-Walker 441 30077 Colbourn-Martirosyan-Trung-Walker 448 31995 Colbourn-Martirosyan-Trung-Walker 490 32583 Colbourn-Martirosyan-Trung-Walker 518 33751 Colbourn-Martirosyan-Trung-Walker 560 34123 Colbourn-Martirosyan-Trung-Walker 567 34513 Colbourn-Martirosyan-Trung-Walker 602 37117 Colbourn-Martirosyan-Trung-Walker 784 37399 Colbourn-Martirosyan-Trung-Walker 882 37651 Colbourn-Martirosyan-Trung-Walker 1050 40045 Colbourn-Martirosyan-Trung-Walker 1470 41053 Colbourn-Martirosyan-Trung-Walker 1568 43447 Colbourn-Martirosyan-Trung-Walker 1792 45505 Colbourn-Martirosyan-Trung-Walker 2401 46471 Colbourn-Martirosyan-Trung-Walker 2450 47941 Colbourn-Martirosyan-Trung-Walker 2646 48345 Colbourn-Martirosyan-Trung-Walker 2744 50031 Colbourn-Martirosyan-Trung-Walker 2842 53434 Colbourn-Martirosyan-Trung-Walker 2940 54100 Colbourn-Martirosyan-Trung-Walker 3087 54485 Colbourn-Martirosyan-Trung-Walker 3136 56619 Colbourn-Martirosyan-Trung-Walker 3430 57423 Colbourn-Martirosyan-Trung-Walker 4914 57529 linear hash family 4915 65383 extend by one factor 5047 65749 Colbourn-Martirosyan-Trung-Walker 5341 65785 Colbourn-Martirosyan-Trung-Walker 5488 65857 Colbourn-Martirosyan-Trung-Walker 5831 66181 Colbourn-Martirosyan-Trung-Walker 5880 66217 Colbourn-Martirosyan-Trung-Walker 6174 66253 Colbourn-Martirosyan-Trung-Walker 6223 68647 Colbourn-Martirosyan-Trung-Walker 6615 68719 Colbourn-Martirosyan-Trung-Walker 7007 68791 Colbourn-Martirosyan-Trung-Walker 7350 68863 Colbourn-Martirosyan-Trung-Walker 8400 70669 Colbourn-Martirosyan-Trung-Walker 10000 70879 Colbourn-Martirosyan-Trung-Walker

Graph: