Table for CAN(5,k,24) 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,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 52 21583784 Martirosyan-Tran van Trung 54 29414850 Martirosyan-Tran van Trung 56 29829446 Martirosyan-Tran van Trung 58 40049580 Martirosyan-Tran van Trung 60 40067804 Martirosyan-Tran van Trung 62 45280407 Martirosyan-Tran van Trung 64 45690447 Martirosyan-Tran van Trung 66 45704115 Martirosyan-Tran van Trung 68 45713227 Martirosyan-Tran van Trung 70 45731451 Martirosyan-Tran van Trung 72 46132379 Martirosyan-Tran van Trung 74 46141491 Martirosyan-Tran van Trung 76 46159715 Martirosyan-Tran van Trung 78 46173383 Martirosyan-Tran van Trung 82 46341955 Martirosyan-Tran van Trung 102 47121031 Martirosyan-Tran van Trung 104 51629192 Martirosyan-Tran van Trung 106 62710641 Martirosyan-Tran van Trung 108 62715103 Martirosyan-Tran van Trung 110 63129699 Martirosyan-Tran van Trung 112 65258096 Martirosyan-Tran van Trung 116 82009816 Martirosyan-Tran van Trung 120 82028040 Martirosyan-Tran van Trung 124 90614007 Martirosyan-Tran van Trung 128 91024047 Martirosyan-Tran van Trung 132 91037715 Martirosyan-Tran van Trung 136 91046827 Martirosyan-Tran van Trung 140 91065051 Martirosyan-Tran van Trung 144 91465979 Martirosyan-Tran van Trung 148 91475091 Martirosyan-Tran van Trung 150 91493315 Martirosyan-Tran van Trung 152 92129219 Martirosyan-Tran van Trung 156 92142887 Martirosyan-Tran van Trung 160 95324804 Martirosyan-Tran van Trung 162 95429592 Martirosyan-Tran van Trung 164 95534380 Martirosyan-Tran van Trung 204 96313456 Martirosyan-Tran van Trung 207 97330983 Power N23^2T14 532 97656220 Power N23^2+3 625 107421623 perfect hash family11,625,25,c fuse 626 107421842 Power 25^2+1 627 132605738 Add a factor 651 144088066 Power 27^2S3 1064 147058221 Martirosyan-Tran van Trung 1250 156823624 Martirosyan-Tran van Trung 1252 157513843 Martirosyan-Tran van Trung 1254 182697739 Martirosyan-Tran van Trung 1316 187019164 Power N47^2T19 1410 193181402 Power N47^2T17 2368 194254047 Power N53^2S9 2500 195312440 Power 25^3Tlev 3750 203275063 Power 25^3T19 4375 203982517 Power 25^3T18 5000 204359476 Power 25^3T17 5625 204752825 Power 25^3T16 10000 205077623 perfect hash family21,15625,25,c fuse

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