Table for CAN(5,k,24) 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,24) 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 7962624 Derive from strength 6 7 8670078 Derive from strength 6 8 9047037 Add a symbol 9 9440386 Add a symbol 26 9765623 orthogonal array fuse 28 14348901 orthogonal array fuse fuse fuse 30 20511139 orthogonal array fuse fuse fuse fuse fuse 34 21574672 Martirosyan-Tran van Trung 44 21579228 Martirosyan-Tran van Trung 52 21583784 Martirosyan-Tran van Trung 54 29414850 Martirosyan-Tran van Trung 56 29820334 Martirosyan-Tran van Trung 58 40040468 Martirosyan-Tran van Trung 60 40049580 Martirosyan-Tran van Trung 62 45262183 Martirosyan-Tran van Trung 64 45644887 Martirosyan-Tran van Trung 66 45663111 Martirosyan-Tran van Trung 68 45672223 Martirosyan-Tran van Trung 70 45685891 Martirosyan-Tran van Trung 74 46059483 Martirosyan-Tran van Trung 76 46095931 Martirosyan-Tran van Trung 78 46109599 Martirosyan-Tran van Trung 80 46310063 Martirosyan-Tran van Trung 82 46328287 Martirosyan-Tran van Trung 88 47116475 Martirosyan-Tran van Trung 102 47121031 Martirosyan-Tran van Trung 104 51615921 Martirosyan-Tran van Trung 106 62710641 Martirosyan-Tran van Trung 108 62715103 Martirosyan-Tran van Trung 110 63120587 Martirosyan-Tran van Trung 112 65229365 Martirosyan-Tran van Trung 116 79001205 Martirosyan-Tran van Trung 120 79010317 Martirosyan-Tran van Trung 124 84222920 Martirosyan-Tran van Trung 128 84605624 Martirosyan-Tran van Trung 132 84623848 Martirosyan-Tran van Trung 136 84632960 Martirosyan-Tran van Trung 140 84646628 Martirosyan-Tran van Trung 148 85020220 Martirosyan-Tran van Trung 150 85056668 Martirosyan-Tran van Trung 152 91045868 Martirosyan-Tran van Trung 156 91059536 Martirosyan-Tran van Trung 160 92596967 Martirosyan-Tran van Trung 162 92615191 Martirosyan-Tran van Trung 164 92724535 Martirosyan-Tran van Trung 176 93512723 Martirosyan-Tran van Trung 204 93517279 Martirosyan-Tran van Trung 207 97330983 Power N-CT23^2T14 532 97656220 Power N-CT23^2+3 625 107421623 perfect hash family11,625,25,c fuse 626 107421842 Power CT25^2+1 627 132605738 Add a factor 651 144088066 Power CT27^2Arc(3) 684 146929969 Martirosyan-Tran van Trung 894 146934525 Martirosyan-Tran van Trung 1064 146939081 Martirosyan-Tran van Trung 1152 156704484 Martirosyan-Tran van Trung 1250 156709040 Martirosyan-Tran van Trung 1252 164971043 Martirosyan-Tran van Trung 1972 186418425 Power N-CT53^2Arc(9)T9 2280 186422981 Power N-CT53^2Arc(9)T2 2368 194254047 Power N-CT53^2Arc(9) 2500 195312440 Power CT25^3Tlev 3750 203275063 Power CT25^3T19 4375 203982517 Power CT25^3T18 5000 204359476 Power CT25^3T17 5625 204752825 Power CT25^3T16 10000 205077623 perfect hash family21,15625,25,c fuse

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