Table for CAN(5,k,25) for k up to 10000

Last Updated Sun Nov 22 06:43:43 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;5,k,25) 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 26 9765625 orthogonal array 28 14348903 orthogonal array fuse fuse 30 20511141 orthogonal array fuse fuse fuse fuse 52 22171875 Martirosyan-Tran van Trung 54 30605091 Martirosyan-Tran van Trung 56 30609941 Martirosyan-Tran van Trung 58 41001943 Martirosyan-Tran van Trung 60 41011643 Martirosyan-Tran van Trung 62 47438725 Martirosyan-Tran van Trung 64 47462975 Martirosyan-Tran van Trung 66 47467825 Martirosyan-Tran van Trung 68 47492075 Martirosyan-Tran van Trung 70 47918875 Martirosyan-Tran van Trung 72 47933425 Martirosyan-Tran van Trung 74 47947975 Martirosyan-Tran van Trung 76 47967375 Martirosyan-Tran van Trung 78 48190475 Martirosyan-Tran van Trung 80 48195325 Martirosyan-Tran van Trung 82 49218675 Martirosyan-Tran van Trung 100 49364175 Martirosyan-Tran van Trung 102 49398125 Martirosyan-Tran van Trung 104 55847549 Martirosyan-Tran van Trung 106 65927213 Martirosyan-Tran van Trung 108 65931869 Martirosyan-Tran van Trung 110 65936719 Martirosyan-Tran van Trung 112 70015783 Martirosyan-Tran van Trung 114 86305041 Martirosyan-Tran van Trung 116 86314353 Martirosyan-Tran van Trung 118 86324053 Martirosyan-Tran van Trung 120 87345901 Martirosyan-Tran van Trung 532 97656240 Power N23^2+3 625 107421625 perfect hash family11,625,25,c 626 107421864 Power 25^2+1 627 134796864 Add a factor 651 144088088 Power 27^2S3 676 148671366 Power 27^2T1T1 1064 149347466 Martirosyan-Tran van Trung 1250 159112851 Martirosyan-Tran van Trung 1252 159833090 Martirosyan-Tran van Trung 1254 187208090 Martirosyan-Tran van Trung 1316 191723894 Power N47^2T19 2500 195312480 Power 25^3Tlev 10000 205077625 perfect hash family21,15625,25,c

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