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

Last Updated Tue Jan 31 05:19:54 MST 2012

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 56 30590541 Martirosyan-Tran van Trung 58 41001943 Martirosyan-Tran van Trung 60 41006793 Martirosyan-Tran van Trung 62 47433875 Martirosyan-Tran van Trung 64 47448425 Martirosyan-Tran van Trung 66 47462975 Martirosyan-Tran van Trung 68 47472675 Martirosyan-Tran van Trung 70 47889775 Martirosyan-Tran van Trung 72 47904325 Martirosyan-Tran van Trung 74 47914025 Martirosyan-Tran van Trung 76 47933425 Martirosyan-Tran van Trung 80 48161375 Martirosyan-Tran van Trung 100 49184725 Martirosyan-Tran van Trung 102 49369025 Martirosyan-Tran van Trung 104 55818449 Martirosyan-Tran van Trung 106 65883563 Martirosyan-Tran van Trung 110 65888219 Martirosyan-Tran van Trung 112 69952283 Martirosyan-Tran van Trung 116 84009093 Martirosyan-Tran van Trung 120 84013943 Martirosyan-Tran van Trung 124 90441025 Martirosyan-Tran van Trung 128 90455575 Martirosyan-Tran van Trung 132 90470125 Martirosyan-Tran van Trung 136 90479825 Martirosyan-Tran van Trung 140 90896925 Martirosyan-Tran van Trung 144 90940575 Martirosyan-Tran van Trung 148 90950275 Martirosyan-Tran van Trung 150 90969675 Martirosyan-Tran van Trung 532 97656240 Power N-CT23^2+3 625 107421625 perfect hash family11,625,25,c 626 107421864 Power CT25^2+1 627 134796864 Add a factor 651 144088088 Power CT27^2Arc(3) 676 148671366 Power CT27^2T1T1 1064 149332490 Martirosyan-Tran van Trung 1250 159097875 Martirosyan-Tran van Trung 1252 167738114 Martirosyan-Tran van Trung 2280 191128200 Power N-CT53^2Arc(9)T2 2500 195312480 Power CT25^3Tlev 10000 205077625 perfect hash family21,15625,25,c

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